uuid
stringlengths 36
36
| subject
stringclasses 6
values | has_image
bool 2
classes | image
stringclasses 160
values | problem_statement
stringlengths 32
784
| golden_answer
stringlengths 7
1.13k
|
---|---|---|---|---|---|
00143e2e-2d9f-4fc3-a9c5-9d2e6aba5cba | multivariable_calculus | false | null | Determine the coordinates, if any, for which $f(x,y) = 6 \cdot x^2 - 3 \cdot x^2 \cdot y + y^3 + 12$ has
1. a Relative Minimum(s)
2. a Relative Maximum(s)
3. a Saddle Point(s)
If a Relative Minimum or Maximum, find the Minimum or Maximum value. If none, enter None. | 1. The function $f(x,y)$ has Relative Minimum(s) at None with the value(s) None
2. The function $f(x,y)$ has Relative Maximum(s) at None with the value(s) None
3. The function $f(x,y)$ has a Saddle Point(s) at $P(-2,2)$, $P(2,2)$ |
00282b7b-1bf6-415d-9f17-d04e9c9700e2 | precalculus_review | true | data:image/png;base64,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 | Estimate the average rate of change from $x=2$ to $x=6$ for the following function $f(x)$ whose graph is given below:
Note that the average rate of change of a function from $x=a$ to $x=b$ is $\frac{ f(b)-f(a) }{ b-a }$. | The final answer: $0.5$ |
0075433c-0afb-41a9-a18a-986d8a81a653 | multivariable_calculus | false | null | Evaluate the integral by choosing the order of integration:
$$
\int_{0}^1 \int_{1}^2 \left(\frac{ y }{ x+y^2 }\right) \, dy \, dx
$$ | $\int_{0}^1 \int_{1}^2 \left(\frac{ y }{ x+y^2 }\right) \, dy \, dx$ = $\ln\left(\frac{25\cdot\sqrt{5}}{32}\right)$ |
00f6affb-905a-4109-a78e-2dde7a0b83ac | integral_calc | false | null | Solve the integral:
$$
\int \frac{ 1 }{ \sin(x)^7 \cdot \cos(x) } \, dx
$$ | $\int \frac{ 1 }{ \sin(x)^7 \cdot \cos(x) } \, dx$ = $C+\ln\left(\left|\tan(x)\right|\right)-\frac{3}{2\cdot\left(\tan(x)\right)^2}-\frac{3}{4\cdot\left(\tan(x)\right)^4}-\frac{1}{6\cdot\left(\tan(x)\right)^6}$ |
0118dbbc-db0e-4ab9-a2ed-ddb2edd0eefc | sequences_series | false | null | Find the Fourier series of the periodic function $f(x) = x^2$ in the interval $-2 \cdot \pi \leq x < 2 \cdot \pi$ if $f(x) = f(x + 4 \cdot \pi)$. | The Fourier series is: $\frac{4\cdot\pi^2}{3}+\sum_{n=1}^\infty\left(\frac{16\cdot(-1)^n}{n^2}\cdot\cos\left(\frac{n\cdot x}{2}\right)\right)$ |
0146d63a-d9e9-4910-9267-10f87812aff4 | multivariable_calculus | false | null | If $z = x \cdot y \cdot e^{\frac{ x }{ y }}$, $x = r \cdot \cos\left(\theta\right)$, $y = r \cdot \sin\left(\theta\right)$, find $\frac{ d z }{d r}$ and $\frac{ d z }{d \theta}$ when $r = 2$ and $\theta = \frac{ \pi }{ 6 }$. | The final answer:
$\frac{ d z }{d r}$: $\sqrt{3}\cdot e^{\left(\sqrt{3}\right)}$
$\frac{ d z }{d \theta}$: $2\cdot e^{\left(\sqrt{3}\right)}-4\cdot\sqrt{3}\cdot e^{\left(\sqrt{3}\right)}$ |
014e9af5-759a-4711-aa22-0f9c76acb502 | sequences_series | false | null | Consider the function $y = \left| \cos\left( \frac{ x }{ 8 } \right) \right|$.
1. Find the Fourier series of the function.
2. Using this decomposition, calculate the sum of the series $\sum_{n=1}^\infty \frac{ (-1)^n }{ 4 \cdot n^2 - 1 }$.
3. Using this decomposition, calculate the sum of the series $\sum_{n=1}^\infty \frac{ 1 }{ 4 \cdot n^2 - 1 }$. | 1. The Fourier series is $\frac{2}{\pi}-\frac{4}{\pi}\cdot\sum_{n=1}^\infty\left(\frac{(-1)^n}{\left(4\cdot n^2-1\right)}\cdot\cos\left(\frac{n\cdot x}{4}\right)\right)$
2. The sum of the series $\sum_{n=1}^\infty \frac{ (-1)^n }{ 4 \cdot n^2 - 1 }$ is $\frac{(2-\pi)}{4}$
3. The sum of the series $\sum_{n=1}^\infty \frac{ 1 }{ 4 \cdot n^2 - 1 }$ is $\frac{1}{2}$ |
01683c2c-a5b7-4bff-8e4f-d8fdad3cac45 | differential_calc | false | null | For the function $r = \arctan\left(\frac{ m }{ \varphi }\right) + \arccot\left(m \cdot \cot(\varphi)\right)$, find the derivative $r'(0)$ and $r'(2 \cdot \pi)$. Submit as your final answer:
1. $r'(0)$
2. $r'(2 \cdot \pi)$ | 1. $0$
2. $\frac{1}{m}-\frac{m}{m^2+4\cdot\pi^2}$ |
01961276-06fd-4869-8e58-eb15a4eb4034 | algebra | false | null | Rewrite the quadratic expression $x^2 + \frac{ 2 }{ 3 } \cdot x - \frac{ 1 }{ 3 }$ by completing the square. | $x^2 + \frac{ 2 }{ 3 } \cdot x - \frac{ 1 }{ 3 }$ = $\left(x+\frac{1}{3}\right)^2-\frac{4}{9}$ |
01c011c6-2528-46de-aa90-9a86ace5747a | sequences_series | false | null | Using the Taylor formula, decompose the function $f(x) = \ln(1+4 \cdot x)$ in powers of the variable $x$ on the segment $[0,1]$. Use the first nine terms.
Then estimate the accuracy obtained by dropping an additional term after the first nine terms. | 1. $\ln(1+4 \cdot x)$ = $4\cdot x-\frac{(4\cdot x)^2}{2}+\frac{(4\cdot x)^3}{3}-\frac{(4\cdot x)^4}{4}+\frac{(4\cdot x)^5}{5}-\frac{(4\cdot x)^6}{6}+\frac{(4\cdot x)^7}{7}-\frac{(4\cdot x)^8}{8}+\frac{(4\cdot x)^9}{9}$
2. Accuracy is not more than $\frac{4^{10}}{10}$ |
01e4ed04-1ed3-4cda-af81-35686c0a16d0 | differential_calc | false | null | Compute the limit:
$$
\lim_{x \to 0}\left(\frac{ x-x \cdot \cos(x) }{ x-\sin(x) }\right)
$$ | $\lim_{x \to 0}\left(\frac{ x-x \cdot \cos(x) }{ x-\sin(x) }\right)$ = $3$ |
023674a7-236e-4771-9662-77157e370160 | differential_calc | true | data:image/png;base64,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 | Determine where the local and absolute maxima and minima occur on the graph given. Assume domains are closed intervals unless otherwise specified. | Absolute minimum at: $x=3$
Absolute maximum at: $x=-2.4$
Local minimum at: $x=-2$, $x=1$
Local maximum at: $-1, 2$ |
0296afc7-857a-46e2-8497-63653d268ac8 | differential_calc | false | null | Compute the derivative of the function $y = \sqrt{\frac{ x^5 \cdot \left(2 \cdot x^6+3\right) }{ \sqrt[3]{1-2 \cdot x} }}$ by taking the natural log of both sides of the equation. | Derivative: $y'=\frac{-128\cdot x^7+66\cdot x^6-84\cdot x+45}{-24\cdot x^8+12\cdot x^7-36\cdot x^2+18\cdot x}\cdot\sqrt{\frac{x^5\cdot\left(2\cdot x^6+3\right)}{\sqrt[3]{1-2\cdot x}}}$ |
029deb6d-6866-4e2d-9d92-3a555ec4de2c | algebra | false | null | 1. On a map, the scale is 1/2 inch : 25 miles. What is the actual distance between two cities that are 3 inches apart?
2. What are the dimensions of a 15 foot by 10 foot room on a blueprint with a scale of 1.5 inches : 2 feet?
3. The distance between Newark, NJ and San Francisco, CA is 2,888 miles. How far would that measure on a map with a scale of 3 cm to 1,000 miles?
4. If the scale for a model train is 1 inch for every 10 feet of a real train, how big is the model for an 83-foot train? | 1. $150$ miles
2. $11.25$ feet by $7.5$ feet
3. $8.664$ cm
4. $8.3$ inches |
02a70481-c574-417a-bf03-50e5080f4d19 | differential_calc | true | data:image/png;base64,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 | List all intervals where $f$ is increasing or decreasing and the minima and maxima are located. | The function is increasing at: $(-1,0)\cup(0,1)\cup(1,\infty)$
The function is decreasing at: $(-\infty,-1)$
The minimum is at: $x=-1$
The maximum is at: None |
02c57487-7f56-412a-8aeb-b1abc78ac85b | sequences_series | false | null | Find the radius of convergence $R$ and interval of convergence for the power series $\sum_{n=0}^\infty a_{n} \cdot x^n$:
$$
\sum_{n=1}^\infty (-1)^n \cdot \frac{ x^n }{ \ln(2 \cdot n) }
$$ | * $R$ = $1$
* $I$ = $(-1,1]$ |
02d22949-d7a2-46ca-8af8-4bda85bc8e0e | differential_calc | false | null | Sketch the curve:
$$
y = 16 \cdot x^2 \cdot e^{\frac{ 1 }{ 4 \cdot x }}
$$
Submit as your final answer:
1. The domain (in interval notation)
2. Vertical asymptotes
3. Horizontal asymptotes
4. Slant asymptotes
5. Intervals where the function is increasing
6. Intervals where the function is decreasing
7. Intervals where the function is concave up
8. Intervals where the function is concave down
9. Points of inflection | 1. The domain (in interval notation): $(-\infty,0)\cup(0,\infty)$
2. Vertical asymptotes: $x=0$
3. Horizontal asymptotes: None
4. Slant asymptotes: None
5. Intervals where the function is increasing: $\left(\frac{1}{8},\infty\right)$
6. Intervals where the function is decreasing: $\left(0,\frac{1}{8}\right)$, $(-\infty,0)$
7. Intervals where the function is concave up: $(0,\infty)$, $(-\infty,0)$
8. Intervals where the function is concave down: None
9. Points of inflection: None |
02d80ab4-c222-493c-a91d-448fba115380 | multivariable_calculus | false | null | Evaluate $L=\lim_{P(x,y) \to P\left(1,\frac{ 1 }{ 2 }\right)}\left(f(x,y)\right)$ given $f(x,y) = \frac{ x^2 - 2 \cdot x^3 \cdot y - 2 \cdot x \cdot y^3 + y^2 }{ 1 + x + y - 2 \cdot x \cdot y - 2 \cdot x^2 \cdot y - 2 \cdot x \cdot y^2 }$. | The final answer: $L=\frac{1}{2}$ |
032cf885-c1e2-49f9-8584-c99b0161c08c | precalculus_review | false | null | Form the compositions $f\left(g(x)\right)$ and $g\left(f(x)\right)$ if $f(x) = \sin(3 \cdot x)$ and $g(x) = \frac{ 1 }{ \sqrt{2-x^2} }$.
1. Find $f\left(g(x)\right)$ and $g\left(f(x)\right)$.
2. Find the domain and range of $f\left(g(x)\right)$ and $g\left(f(x)\right)$. | 1. $f\left(g(x)\right)$ = $\sin\left(\frac{3}{\sqrt{2-x^2}}\right)$
$g\left(f(x)\right)$ = $\frac{1}{\sqrt{2-\sin(3\cdot x)^2}}$
2. Domain of $f\left(g(x)\right)$ is $\left(-\sqrt{2},\sqrt{2}\right)$
Range of $f\left(g(x)\right)$ is $[-1,1]$
Domain of $g\left(f(x)\right)$ is $(-\infty,\infty)$
Range of $g\left(f(x)\right)$ is $\left[\frac{1}{\sqrt{2}},1\right]$ |
03b87419-fe7c-481a-9396-1d0723fc2b15 | differential_calc | false | null | Sketch the curve:
$y = 5 \cdot x \cdot \sqrt{4-x^2}$.
Submit as your final answer:
1. The domain (in interval notation)
2. Vertical asymptotes
3. Horizontal asymptotes
4. Slant asymptotes
5. Intervals where the function is increasing
6. Intervals where the function is decreasing
7. Intervals where the function is concave up
8. Intervals where the function is concave down
9. Points of inflection | 1. The domain (in interval notation): $[-2,2]$
2. Vertical asymptotes: None
3. Horizontal asymptotes: None
4. Slant asymptotes: None
5. Intervals where the function is increasing: $\left(-\sqrt{2},\sqrt{2}\right)$
6. Intervals where the function is decreasing: $\left(-2,-\sqrt{2}\right)$, $\left(\sqrt{2},2\right)$
7. Intervals where the function is concave up: $(-2,0)$
8. Intervals where the function is concave down: $(0,2)$
9. Points of inflection: $P(0,0)$ |
03c28ad4-cfe4-430f-ab38-cb3e56091616 | precalculus_review | false | null | Solve the following equation:
$$
x^2 - x + 1 = \frac{ 1 }{ 2 } + \sqrt{x - \frac{ 3 }{ 4 }}
$$ | The final answer: $x=1$ |
040dbb94-2747-4799-89f8-dd544c248a9c | integral_calc | false | null | Consider the function $f(x) = x^2$ on $[-1,1]$ and the partition $\left\{-1, -\frac{ 1 }{ 2 }, \frac{ 1 }{ 4 }, 1\right\}$. Find the upper and lower sums. | The upper sum is: $\frac{23}{16}$
The lower sum is: $\frac{11}{64}$ |
0429a27b-d694-4e42-a60c-d446ae515ed2 | differential_calc | true | data:image/png;base64,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 | The graph of $g'$ is given.
Let $g$ be a differentiable function with $g(1)=-4$. The graph of $g'(x)$, the derivative of $g$, is shown. Write an equation for the line tangent to the graph of $g$ at $x=1$. | The equation for the tangent line is $y+4=-3\cdot(x-1)$ |
04960c86-a731-4641-a3a8-fd0529de5a51 | multivariable_calculus | false | null | Evaluate $\int\int\int_{E}{(x+2 \cdot y \cdot z) \, dV}$, where $E = \left\{(x,y,z) | 0 \le x \le 1, 0 \le y \le x, 0 \le z \le 5-x-y \right\}$. | $I$ = $\frac{439}{120}$ |
04aefca7-201f-46bd-b434-5176136433fc | algebra | true | data:image/png;base64,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 | Find a formula for $p(x)$, the cubic polynomial whose graph is shown below: | The final answer: $p(x)=-\frac{1}{9}\cdot(x+3)^2\cdot(x-2)$ |
04e91d7e-e8a6-4fb4-89e1-63402a89f8bc | differential_calc | true | data:image/png;base64,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 | List all intervals where $f$ is increasing or decreasing. | The function is increasing at: $(-\infty,-2)\cup(-1,0)\cup(0,1)\cup(2,\infty)$
The function is decreasing at: $(-2,-1)\cup(1,2)$ |
05d5fbde-1eff-44af-8037-eca12fcd412f | sequences_series | false | null | Calculate $e$ with an estimated error of $0.001$, using the series expansion. | The final answer: $2.7181$ |
05ea9929-8cbb-432b-bbbb-ec1e74c9f401 | integral_calc | false | null | Compute the integral:
$$
-2 \cdot \int x^{-4} \cdot \left(4+x^2\right)^{\frac{ 1 }{ 2 }} \, dx
$$ | $-2 \cdot \int x^{-4} \cdot \left(4+x^2\right)^{\frac{ 1 }{ 2 }} \, dx$ = $C+\frac{1}{6}\cdot\left(\frac{4}{x^2}+1\right)\cdot\sqrt{\frac{4}{x^2}+1}$ |
05f8a29d-c47b-4532-a0ec-df1909c43460 | multivariable_calculus | true | data:image/png;base64,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 | The graph of the polar rectangular region $D$ is given. Express $D$ in polar coordinates. | 1. The interval of $r$ is $[3,5]$
2. The interval of $\theta$ is $[0,\pi]$ |
064eaf70-e653-406c-9fdf-311c7d02c84e | integral_calc | true | data:image/png;base64,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 | Evaluate the integral of the functions graphed using the formula for circles: | The final answer: $7\cdot\pi$ |
065a1eeb-7581-4b18-bc52-69c80d37e90d | sequences_series | false | null | Use the ratio test to determine the radius of convergence of the series:
$$
\sum_{n=1}^\infty \left( \frac{ (2 \cdot n)! }{ n^{2 \cdot n} } \cdot x^n \right)
$$ | $R$ = $\frac{e^2}{4}$ |
068e40ce-9108-4ef8-8ee5-0d1471ebbe43 | sequences_series | false | null | Compute $\lim_{x \to 0}\left(\frac{ 2 \cdot \cos(x)+4 }{ 5 \cdot x^3 \cdot \sin(x) }-\frac{ 6 }{ 5 \cdot x^4 }\right)$. Use the expansion of the function in the Taylor series. | The final answer: $\frac{1}{150}$ |
06cd1a73-2eb9-4648-ab8c-d356cc78baff | differential_calc | true | data:image/png;base64,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 | Use the following graphs and the limit laws to evaluate the limit:
$$
\lim_{x \to -3^{-}}\left(f(x)-3 \cdot g(x)\right)
$$ | $\lim_{x \to -3^{-}}\left(f(x)-3 \cdot g(x)\right)$ = $6$ |
06dca8af-0c22-4f2e-8f47-719564cef1e5 | precalculus_review | false | null | Evaluate $\cos\left(2 \cdot \arctan(-7)\right)$. | The final answer: $\cos(a)=-\frac{24}{25}$ |
07416c4c-88df-4c48-9413-be3713fa7df6 | integral_calc | true | data:image/png;base64,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 | The shaded region $R$ is the region in the first quadrant bounded by the graphs of $y=2 \cdot x$ and $y=x^2$.
1. Write, but do not evaluate, an integral expression that gives the volume of the solid generated from revolving the region $R$ about the vertical line $x=3$.
2. Write, but do not evaluate, an integral expression that gives the volume of the solid generated from revolving the region $R$ about the vertical line $x=-2$. | 1. $V$ = $\int_0^4\pi\cdot\left(\left(3-\frac{1}{2}\cdot y\right)^2-\left(3-\sqrt{y}\right)^2\right)dy$
2. $V$ = $\int_0^4\pi\cdot\left(\left(-2-\sqrt{y}\right)^2-\left(-2-\frac{1}{2}\cdot y\right)^2\right)dy$ |
07418180-04cf-49a2-b949-e280e3a05ff4 | precalculus_review | false | null | Find the equivalent of $\sin\left(\arctan(x)\right)$ in terms of an algebraic expression. | The final answer: $\frac{x}{\sqrt{1+x^2}}$ |
076885c3-f6a8-4790-934e-58926a0cab6b | differential_calc | true | data:image/png;base64,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 | Points $P(1.5,0)$ and $Q(\varphi,y)$ are on the graph of the function $f(\varphi) = \cos(\pi \cdot \varphi)$. Complete the following table with the appropriate values: $y$-coordinate of $Q$, the point $Q(x,y)$, and the slope of the secant line passing through points $P$ and $Q$. Round your answer to eight significant digits. | 1. $-0.30901699$
2. $-0.031410759$
3. $-0.0031415875$
4. $-0.00031415926$
5. $P(1.4,-0.30901699)$
6. $P(1.49,-0.031410759)$
7. $P(1.499,-0.0031415875)$
8. $P(1.4999,-0.00031415926)$
9. $3.0901699$
10. $3.1410759$
11. $3.1415875$
12. $3.1415926$ |
084e9296-4724-4e37-97bf-b5fcfa6cf40d | multivariable_calculus | false | null | Differentiate $y = \sqrt{\frac{ (x-1) \cdot (x-2) }{ (x-3) \cdot (x-4) }}$. | $\frac{ d y }{d x}$ = $-\left(\frac{2\cdot x^2-10\cdot x+11}{(x-1)^{\frac{1}{2}}\cdot(x-2)^{\frac{1}{2}}\cdot(x-3)^{\frac{3}{2}}\cdot(x-4)^{\frac{3}{2}}}\right)$ |
0873b3d9-9d96-4990-a73c-56df41352356 | precalculus_review | true | data:image/png;base64,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 | Write the set of numbers represented on the number line in interval notation. | The interval is: $(-2,-1]$ |
087ae21d-53fb-497e-b533-5cfa609dbaba | differential_calc | false | null | For the function $y = 3 \cdot x \cdot \sqrt[3]{x} - 6 \cdot \sqrt[3]{x^2} + 24 \cdot \sqrt[3]{x} - 8 \cdot x$, specify the points where local maxima and minima of $y$ occur.
1. The point(s) where local maxima occur
2. The point(s) where local minima occur | 1. The point(s) where local maxima occur: $P(1,13)$
2. The point(s) where local minima occur: $P(-1,-19)$, $P(8,8)$ |
08c72d46-1abd-49e1-9c9c-ce509902be6e | integral_calc | false | null | Solve the integral:
$$
\int \left(\frac{ x+4 }{ x-4 } \right)^{\frac{ 3 }{ 2 }} \, dx
$$ | $\int \left(\frac{ x+4 }{ x-4 } \right)^{\frac{ 3 }{ 2 }} \, dx$ = $C+\sqrt{\frac{x+4}{x-4}}\cdot(x-20)-12\cdot\ln\left(\left|\frac{\sqrt{x-4}-\sqrt{x+4}}{\sqrt{x-4}+\sqrt{x+4}}\right|\right)$ |
0960b413-513e-4f04-874f-3bd377eb5f75 | precalculus_review | false | null | Solve the differential equation:
$$
\frac{ d y }{d \theta} = \sin\left(\pi \cdot \theta\right)^4
$$ | $y(\theta)$ = $\frac{\sin\left(4\cdot\pi\cdot\theta\right)}{32\cdot\pi}+\frac{3\cdot\theta}{8}-\frac{\sin\left(2\cdot\pi\cdot\theta\right)}{4\cdot\pi}+C$ |
09720053-8865-4ffe-955e-ef9daebd51b2 | algebra | false | null | A doctor injects a patient with $13$ milligrams of radioactive dye that decays exponentially. After $12$ minutes, there are $4.75$ milligrams of dye remaining in the patient's system. Which is an appropriate model for this situation? | Model formula: $f(t)=13\cdot e^{\frac{\ln\left(\frac{4.75}{13}\right)}{12}\cdot t}$ |
09e81d01-5fa2-46cc-a6ba-9e61ccb1e6f9 | multivariable_calculus | false | null | Find the first derivative $y_{x}'$ of the function:
$$
x = \arcsin\left(\frac{ 2 \cdot t }{ \sqrt{4+4 \cdot t^2} }\right), \quad y = \arccos\left(\frac{ 2 }{ \sqrt{4+4 \cdot t^2} }\right), \quad t \ge 0
$$ | $y_{x}'$ = $1$ |
09f0d305-d8b8-4a6f-a593-518b403c6cb4 | algebra | false | null | Find all real solutions of the following equation:
$$
\frac{ x }{ 2 x+6 }-\frac{ 2 }{ 5 x+5 }=\frac{ 5 x^2-3 x-7 }{ 10 x^2+40 x+30 }
$$ | The real solution(s) to the given equation are: $x=\frac{5}{4}$ |
09f686b5-fa1b-4bbd-bdc5-71030c3b61e5 | algebra | false | null | Solve the following equations:
1. $8.6 = 6j + 4j$
2. $12z - (4z + 6) = 82$
3. $5.4d - 2.3d + 3(d - 4) = 16.67$
4. $2.6f - 1.3(3f - 4) = 6.5$
5. $-5.3m + (-3.9m) - 17 = -94.28$
6. $6(3.5y + 4.2) - 2.75y = 134.7$ | The solutions to the given equations are:
1. $j=0.86$
2. $z=11$
3. $d=\frac{ 47 }{ 10 }$
4. $f=-1$
5. $m=\frac{ 42 }{ 5 }$
6. $y=6$ |
0a64232b-0119-4b4b-9f1d-eea854c90bd4 | multivariable_calculus | false | null | Compute the second order derivative $\frac{d ^2y}{ d x^2}$ for the parametrically defined function $x = 2 \cdot e^{3 \cdot t} \cdot \cos(t)$, $y = e^{3 \cdot t} \cdot \sin(t)$. | $\frac{d ^2y}{ d x^2}$ = $\frac{5}{2\cdot e^{3\cdot t}\cdot\left(3\cdot\cos(t)-\sin(t)\right)^3}$ |
0ad9f006-5f19-45a1-8138-0c9b37517662 | multivariable_calculus | false | null | Find the volume of the prism with vertices $A(0,0,0)$, $B(4,0,0)$, $C(4,6,0)$, $D(0,6,0)$, $E(0,0,1)$, and $F(4,0,1)$. | $V$ = $12$ |
0b26afe2-981d-494f-9b16-bc1fa0664b39 | multivariable_calculus | false | null | Find the point of intersection of the following surfaces:
1. $\frac{ 1 }{ 2 } \cdot y = x - z - 5$
2. $4 \cdot x^2 + 9 \cdot y^2 - 72 \cdot z = 0$ | The final answer: $x=9$, $y=-2$, $z=5$ |
0b68a76c-626f-4fef-8e94-5fe256e29883 | differential_calc | true | data:image/png;base64,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 | Use the graph of the function $y = h(x)$ shown here to find $\lim_{x \to 0^{-}}\left(h(x)\right)$ if possible. Estimate when necessary. | $\lim_{x \to 0^{-}}\left(h(x)\right)$ = $0$ |
0b9ad9f5-dc17-4d95-bc5c-a2fb158e69b6 | sequences_series | false | null | Consider the power series $\sum_{k=0}^\infty \frac{ (2 \cdot x-1)^k }{ 3^k \cdot \sqrt{k+1} }$.
1. Find the center of convergence of the series.
2. Find the radius of convergence of the series. | 1. The center of convergence is $\frac{1}{2}$.
2. The radius of convergence is $\frac{3}{2}$. |
0be6193e-1388-4738-9378-d2052c687bd6 | multivariable_calculus | false | null | Find the points at which the following polar curve $r = 4 \cdot \cos(\theta)$ has a horizontal or vertical tangent line. | The final answer:
1. Horizontal tangents at: $P\left(2\cdot\sqrt{2},\frac{\pi}{4}\right)$, $P\left(-2\cdot\sqrt{2},\frac{3\cdot\pi}{4}\right)$
2. Vertical tangents at: $P\left(0,\frac{\pi}{2}\right)$, $P(4,0)$ |
0c0ba3db-1470-4c36-975c-91ff5f51986f | integral_calc | false | null | Compute the integral:
$$
\int \sin(x)^4 \cdot \cos(x)^6 \, dx
$$ | $\int \sin(x)^4 \cdot \cos(x)^6 \, dx$ = $C+\frac{1}{320}\cdot\left(\sin(2\cdot x)\right)^5+\frac{1}{128}\cdot\left(\frac{3\cdot x}{2}-\frac{\sin(4\cdot x)}{2}+\frac{\sin(8\cdot x)}{16}\right)$ |
0c1585dc-3062-4fc7-9964-8ec9308d478b | precalculus_review | false | null | A biologist observes that a certain bacterial colony triples every 4 hours. Approximately how many hours does it take for it to double in size? (Give your answer to two decimal places.) | The final answer: $2.52$ |
0c3d74eb-2924-4ec0-8f74-6bf110e5daa4 | multivariable_calculus | false | null | Compute the second order derivative $\frac{d ^2y}{ d x^2}$ for the parametrically defined function
$$
x = 4 \cdot e^t \cdot \cos(3 \cdot t), \quad y = e^t \cdot \sin(3 \cdot t)
$$ | $\frac{d ^2y}{ d x^2}$ = $\frac{15}{8\cdot e^t\cdot\left(\cos(3\cdot t)-3\cdot\sin(3\cdot t)\right)^3}$ |
0cdec09c-5655-41df-856e-2a1537553741 | integral_calc | false | null | Compute the volume of the solid formed by rotating about the x-axis the area bounded by the axes and the parabola $x^{\frac{ 1 }{ 2 }}+y^{\frac{ 1 }{ 2 }}=6^{\frac{ 1 }{ 2 }}$. | Volume = $\pi\cdot\frac{72}{5}$ |
0d047527-42dc-4b9d-86ab-a98315d470d5 | precalculus_review | false | null | Solve $3 \cdot \sin(x) + 4 \cdot \cos(x) = 5$. | The final answer: $x=-\arcsin\left(\frac{4}{5}\right)+\frac{\pi}{2}+2\cdot\pi\cdot n$, $x=-\arccos\left(\frac{3}{5}\right)+\frac{\pi}{2}+2\cdot\pi\cdot n$ |
0d1189b8-7da9-4918-b7c1-eca7aeebe695 | integral_calc | false | null | Calculate the integral:
$$
\int_{-\sqrt{5}}^{\sqrt{5}} \frac{ 4 \cdot x^7+6 \cdot x^6-12 \cdot x^5-14 \cdot x^3-24 \cdot x^2+2 \cdot x+4 }{ x^2+2 } \, dx
$$ | $\int_{-\sqrt{5}}^{\sqrt{5}} \frac{ 4 \cdot x^7+6 \cdot x^6-12 \cdot x^5-14 \cdot x^3-24 \cdot x^2+2 \cdot x+4 }{ x^2+2 } \, dx$ = $20\cdot\sqrt{5}+4\cdot\sqrt{2}\cdot\arctan\left(\frac{\sqrt{5}}{\sqrt{2}}\right)$ |
0d292144-e47b-4b2a-8006-c3d316be019c | multivariable_calculus | false | null | Find a rectangular equation which is equivalent to the following parametric equations:
1. $x^2 = t^3 - 3 \cdot t^2 + 3 \cdot t - 1$
2. $y^2 = t^3 + 6 \cdot t^2 + 12 \cdot t + 8$ | The final answer: $\sqrt[3]{x^2}-\sqrt[3]{y^2}=-3$ |
0d3ad896-eab6-4f0c-9265-20ae824c572c | algebra | false | null | Solve the following equations:
1. Five less than twice a number $x$ is nineteen. What is the number $x$?
2. Four times the sum of a number $x$ and −3 is 28.
3. Three times twenty-one more than a number $x$ is twelve. What is the number?
4. Find the width $w$ of a rectangle if its length is 5 more than the width and its perimeter is 90 cm. | The solutions to the given equations are:
1. $x=12$
2. $x=10$
3. $x=-17$
4. $w=20$ |
0d736a08-bfaf-4a90-8c3c-0ef02fd113b7 | differential_calc | false | null | $f(x) = x + \sin(2 \cdot x)$ over $x = \left[-\frac{ \pi }{ 2 },\frac{ \pi }{ 2 }\right]$. Determine:
1. intervals where $f$ is increasing
2. intervals where $f$ is decreasing
3. local minima of $f$
4. local maxima of $f$
5. intervals where $f$ is concave up
6. intervals where $f$ is concave down
7. the inflection points of $f$ | 1. intervals where $f$ is increasing: $\left(-\frac{\pi}{3},\frac{\pi}{3}\right)$
2. intervals where $f$ is decreasing: $\left(-\frac{\pi}{2},-\frac{\pi}{3}\right)$, $\left(\frac{\pi}{3},\frac{\pi}{2}\right)$
3. local minima of $f$: $-\frac{\pi}{3}$
4. local maxima of $f$: $\frac{\pi}{3}$
5. intervals where $f$ is concave up: $\left(-\frac{\pi}{2},0\right)$
6. intervals where $f$ is concave down: $\left(0,\frac{\pi}{2}\right)$
7. the inflection points of $f$: $0$ |
0deb486d-fc94-4e66-a267-22f7bc60d49e | algebra | false | null | Solve the following equations:
1. $13x + 6 = 6$
2. $\frac{x}{-4} + 11 = 5$
3. $-4.5x + 12.3 = -23.7$
4. $\frac{x}{5} + 4 = 4.3$
5. $-\frac{x}{3} + (-7.2) = -2.1$
6. $5.4x - 8.3 = 14.38$
7. $\frac{x}{3} - 14 = -8$ | The solutions to the given equations are:
1. $x=0$
2. $x=24$
3. $x=8$
4. $x=\frac{ 3 }{ 2 }$
5. $x=\frac{ -153 }{ 10 }$
6. $x=\frac{ 21 }{ 5 }$
7. $x=18$ |
0e30e42e-91dc-4962-9046-59dc3f6fcbd1 | integral_calc | false | null | Compute the integral:
$$
-10 \cdot \int \frac{ \cos(5 \cdot x)^4 }{ \sin(5 \cdot x)^3 } \, dx
$$ | $-10 \cdot \int \frac{ \cos(5 \cdot x)^4 }{ \sin(5 \cdot x)^3 } \, dx$ = $C+3\cdot\cos(5\cdot x)+\frac{\left(\cos(5\cdot x)\right)^3}{1-\left(\cos(5\cdot x)\right)^2}-\frac{3}{2}\cdot\ln\left(\frac{1+\cos(5\cdot x)}{1-\cos(5\cdot x)}\right)$ |
0e5a9971-ba63-4edd-be97-016995f50ab3 | algebra | false | null | Divide the rational expressions:
$$
\frac{ q^2-36 }{ q^2+12 \cdot q+36 } \div \frac{ q^2-4 \cdot q-12 }{ q^2+4 \cdot q-12 }
$$ | The final answer: $\frac{q-2}{q+2}$ |
0e9df16f-3fab-4eae-9a02-430147ee240a | precalculus_review | false | null | Find all values of $t$ that satisfy the following equation:
$$
\log_{a}(t) + \log_{2 \cdot a}(t) = \frac{ \ln\left(2 \cdot a^2\right) }{ \ln(2 \cdot a) }
$$
for $a > 0$ and $a \ne 1$. | $t$ = $a$ |
0eb75475-d51c-4bc8-9d9b-da721151197d | differential_calc | false | null | Find the maximum and minimum values of the function $y = 4 \cdot \sin(x) + \sin(4 \cdot x)$ in the closed interval $[0, \pi]$. | Maximum Value: $\frac{5\cdot\sqrt{2}\cdot\sqrt{5+\sqrt{5}}}{4}$
Minimum Value: $0$ |
0f24f9a7-cb9d-4a3b-9793-2aaa6802d316 | algebra | true | data:image/png;base64,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 | Use the graph of the function to estimate the intervals on which the function is increasing or decreasing.
A function is increasing/decreasing on an interval when its values increase/decrease as $x$ values increase (moving to the right on the graph). | The final answer:
1. Interval(s) of increase: $(1,\infty)$
2. Interval(s) of decrease: $(-\infty,1)$ |
0f8cbe1f-3952-4c8d-91b5-2f2ee3dbedbe | algebra | false | null | Divide the rational expressions:
$$
\frac{ q^2-16 }{ q^2+8 \cdot q+16 } \div \frac{ q^2+q-20 }{ q^2-q-20 }
$$ | The final answer: $\frac{q-5}{q+5}$ |
0fa16123-96ba-47d9-bb59-3e8955e2acdb | multivariable_calculus | true | data:image/png;base64,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 | The solid $E$ bounded by $z=1-x^2$ and situated in the first octant is given in the following figure:
Find the volume of the solid. | $V$ = $\frac{10}{3}$ |
0faf776f-2bc5-4452-8cc1-ac74f4ba286b | differential_calc | true | data:image/png;base64,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 | Use the graph of the function $y = f(x)$ shown here to find $\lim_{x \to 2}\left(f(x)\right)$, if possible. Estimate when necessary. | $\lim_{x \to 2}\left(f(x)\right)$ = $0$ |
0fec4721-ec02-4a72-aa1a-2ed7b0f8276d | differential_calc | false | null | Sketch the curve:
$y = \sqrt{\frac{ 27 - x^3 }{ 2 \cdot x }}$.
Submit as your final answer:
1. The domain (in interval notation)
2. Vertical asymptotes
3. Horizontal asymptotes
4. Slant asymptotes
5. Intervals where the function is increasing
6. Intervals where the function is decreasing
7. Intervals where the function is concave up
8. Intervals where the function is concave down
9. Points of inflection | 1. The domain (in interval notation): $(0,3]$
2. Vertical asymptotes: $x=0$
3. Horizontal asymptotes: None
4. Slant asymptotes: None
5. Intervals where the function is increasing: None
6. Intervals where the function is decreasing: $(0,3]$
7. Intervals where the function is concave up: $\left(0,\frac{3}{\sqrt[3]{4}}\right)$
8. Intervals where the function is concave down: $\left(\frac{3}{\sqrt[3]{4}},3\right)$
9. Points of inflection: $P\left(\frac{3}{\sqrt[3]{4}},2.3146\right)$ |
0ffdf602-5652-4443-8918-b7a0da6d9e63 | integral_calc | false | null | Solve the integral:
$$
\int \frac{ \cos(x)^3 }{ \sin(x)^9 } \, dx
$$ | $\int \frac{ \cos(x)^3 }{ \sin(x)^9 } \, dx$ = $C-\left(\frac{1}{3}\cdot\left(\cot(x)\right)^6+\frac{1}{4}\cdot\left(\cot(x)\right)^4+\frac{1}{8}\cdot\left(\cot(x)\right)^8\right)$ |
10185b4b-6b20-42fa-a5bc-a50510a49033 | algebra | false | null | An epidemiological study of the spread of a certain influenza strain that hit a small school population found that the total number of students, $P$, who contracted the flu $t$ days after it broke out is given by the model $P = t^2 - 14t + 200$, where $1 \leq t \leq 6$. Find the day that 160 students had the flu. Recall that the restriction on $t$ is at most 6. | The final answer: $4$ |
10885317-f542-4f96-9f87-2fa854f4e4e5 | algebra | false | null | Using the Rational Zero Theorem, list all possible rational zeros of the following polynomial:
$p(x) = 2 \cdot x^3 + 3 \cdot x^2 - 8 \cdot x + 5$ | Possible rational zeros are $1$, $-1$, $5$, $-5$, $\frac{1}{2}$, $-\frac{1}{2}$, $\frac{5}{2}$, $-\frac{5}{2}$ |
108e1278-c12b-42ee-aefe-f6eec1047374 | algebra | false | null | You sold 4 more than three times as many newspapers this week as last week. If you sold 112 newspapers altogether, how many did you sell this week? | The number of newspapers sold this week is: $85$ |
10c7d30d-0451-4438-91b6-e8c0dea5d378 | sequences_series | false | null | Find the radius of convergence and sum of the series:
$$
\frac{ 1 }{ 2 }+\frac{ x }{ 1 \cdot 3 }+\frac{ x^2 }{ 1 \cdot 2 \cdot 4 }+\cdots+\frac{ x^n }{ \left(n!\right) \cdot (n+2) }+\cdots
$$ | 1. Radius of convergence: $R=\infty$
2. Sum: $f(x)=\begin{cases}\frac{1}{x^2}+\frac{x\cdot e^x-e^x}{x^2},&x\ne0\\\frac{1}{2},&x=0\end{cases}$ |
10dd6f8a-e223-4f9c-b3c6-310d5cc5f159 | algebra | false | null | Identify all points of removable discontinuity (singularity) of the function $f(x) = \frac{ x^2 - 16 }{ x - 4 }$. | $f(x)$ has removable discontinuities at $x=4$ |
11009eac-e3ab-4462-9b27-919429198672 | algebra | false | null | Find the equations of the following objects:
1. The sphere centered at $P(1,3,5)$ through $P(0,1,7)$. Also find its radius.
2. The points equidistant from $P(0,0,0)$ and $P(0,1,3)$.
3. The cylinder with radius $10$ and central axis line $y=3$, $z=5$. | 1. Equation: $(x-1)^2+(y-3)^2+(z-5)^2=9$ Radius: $3$
2. Equation: $y+3\cdot z=5$
3. Equation: $(y-3)^2+(z-5)^2=10^2$ |
110a226d-8231-48ac-9b5e-d4d78cd4f045 | multivariable_calculus | false | null | Find the volume of the solid whose boundaries are given in the rectangular coordinates:
$$
\sqrt{x^2+y^2} \le z \le \sqrt{16-x^2-y^2}, \quad x \ge 0, \quad y \ge 0
$$ | Volume: $\frac{64\cdot\pi-32\cdot\pi\cdot\sqrt{2}}{6}$ |
1115e7e1-487a-4437-bcec-4456804e484e | multivariable_calculus | false | null | Evaluate $L=\lim_{(x,y) \to (2,2)}\left(\frac{ 2 \cdot x^2+2 \cdot x^2 \cdot y+2 \cdot x-2 \cdot x \cdot y-2 \cdot x \cdot y^2-2 \cdot y }{ 3 \cdot x^2-6 \cdot x \cdot y-3 \cdot x^2 \cdot y+3 \cdot x \cdot y^2+3 \cdot y^2 }\right)$ | The final answer: $L=-\frac{7}{6}$ |
112457f8-271f-4e2a-a30b-0de94ab3ec1a | integral_calc | true | data:image/png;base64,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 | The data in the following table are used to estimate the average power output produced by Peter Sagan for each $15$-min interval of Stage $1$ of the $2012$ Tour de France.
Average Power Output:
Estimate the net energy used in kilojoules, noting that $1 \cdot W = 1 \cdot \frac{ J }{ s }$. | $3820.5$ kJ |
11812666-0007-42b5-bad6-f6f023717b4b | integral_calc | true | data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAyAAAAMgCAYAAADbcAZoAABV5UlEQVR4nO3deZTV9X34/9cMy7CJgMq+qqCg4oK4BPckbtG4ppqkSYhLF23TNCa2yS9pmuXbLK0xNZsxxqRqTFzaGKlGj1utEsQouLAISAQRZEBkG2BgGOb3B53LDLMw272fz+fex+McDnfuvTPzmhw9mafv9/vzKaurq6sLSImbbropbrrppoiIuOGGG+KGG25IeCIAgOy46aab4nvf+16zr11wwQXx05/+tMATNVWe9AAAAEDnZSE+IgQIAABkXlbiI0KAAABApmUpPiIECAAAZFbW4iNCgAAAQCZlMT4iBAgAAGROVuMjQoAAAECmZDk+IgQIAABkRtbjI0KAAABAJhRDfEQIEAAASL1iiY8IAQIAAKlWTPERIUAAACC1ii0+IgQIAACkUjHGR4QAAQCA1CnW+IgQIAAAkCrFHB8RAgQAAFKj2OMjQoAAAEAqlEJ8RAgQAABIXKnER4QAAQCARJVSfEQIEAAASEypxUeEAAEAgESUYnxECBAAACi4Uo2PCAECAAAFVcrxESFAAACgYEo9PiIECAAAFIT42E2AAABAnomPPQQIAADkkfhoTIAAAECeiI+mBAgAAOSB+GieAAEAgC4mPlomQAAAoAuJj9YJEAAA6CLiY98ECAAAdAHx0TYCBAAAOkl8tJ0AAQCAThAf7SNAAACgg8RH+wkQAADoAPHRMQIEAADaSXx0nAABAIB2EB+dI0AAAKCNxEfnCRAAAGgD8dE1BAgAAOyD+Og6AgQAAFohPrqWAAEAgBaIj64nQAAAoBniIz8ECAAA7EV85I8AAQCABsRHfgkQAAD4P+Ij/wQIAACE+CgUAQIAQMkTH4UjQAAAKGnio7AECAAAJUt8FJ4AAQCgJImPZAgQAABKjvhIjgABAKCkiI9kCRAAAEqG+EieAAEAoCSIj3QQIAAAFD3xkR4CBACAoiY+0kWAAABQtMRH+ggQAACKkvhIJwECAEDRER/pJUAAACgq4iPdBAgAAEVDfKSfAAEAoCiIj2wQIAAAZJ74yA4BAgBApomPbBEgAABklvjIHgECAEAmiY9sEiAAAGSO+MguAQIAQKaIj2wTIAAAZIb4yD4BAgBAJoiP4iBAAABIPfFRPAQIAACpJj6KiwABACC1xEfxESAAAKSS+ChOAgQAgNQRH8VLgAAAkCrio7gJEAAAUkN8FD8BAgBAKoiP0iBAAABInPgoHQIEAIBEiY/SIkAAAEiM+Cg9AgQAgESIj9IkQAAAKDjxUboECAAABSU+SpsAAQCgYMQHAgQAgIIQH0QIEAAACkB8UE+AAACQV+KDhgQIAAB5Iz7YmwABACAvxAfNESAAAHQ58UFLBAgAAF1KfNAaAQIAQJcRH+yLAAEAoEuID9pCgAAA0Gnig7YSIAAAdIr4oD0ECAAAHSY+aC8BAgBAh4gPOkKAAADQbuKDjhIgAAC0i/igMwQIAABtJj7oLAECAECbiA+6ggABAGCfxAddRYAAANAq8UFXEiAAALRIfNDVBAgAAM0SH+SDAAEAoAnxQb4IEAAAGhEf5JMAAQAgR3yQbwIEAICIEB8UhgABAEB8UDACBACgxIkPCkmAAACUMPFBoQkQAIASJT5IggABAChB4oOkCBAAgBIjPkiSAAEAKCHig6QJEACAEiE+SAMBAgBQAsQHaSFAAACKnPggTQQIAEAREx+kjQABAChS4oM0EiAAAEVIfJBWAgQAoMiID9JMgAAAFBHxQdoJEACAIiE+yAIBAgBQBMQHWSFAAAAyTnyQJQIEACDDxAdZI0AAADJKfJBFAgQAIIPEB1klQAAAMkZ8kGUCBAAgQ8QHWSdAAAAyQnxQDAQIAEAGiA+KhQABAEg58UExESAAACkmPig2AgQAIKXEB8VIgAAApJD4oFgJEACAlBEfFDMBAgCQIuKDYidAAABSQnxQCgQIAEAKiA9KhQABAEiY+KCUCBAAgASJD0qNAAEASIj4oBQJEACABIgPSpUAAQAoMPFBKRMgAAAFJD4odQIEAKBAxAcIEACAghAfsJsAAQDIM/EBewgQAIA8Eh/QmAABAMgT8QFNCRAAgDwQH9A8AQIA0MXEB7RMgAAAdCHxAa0TIAAAXUR8wL4JEACALiA+oG0ECABAJ4kPaDsBAgDQCeID2keAAAB0kPiA9hMgAAAdID6gYwQIAEA7iQ/oOAECANAO4gM6p3vSAwAAZIX4gObV1dXFunXrYs2aNVFZWZn709zHAgQAoA3EB6WotrY23n333UYR0TAs1qxZE6tXr4533303du7c2aavKUAAAPZBfFBsampqWlytqI+KNWvWxLp162LXrl1d+r0FCABAK8QHWVJdXd0kIprbCrV+/frEZhQgAAAtEB+kxdatW2P16tWNomLt2rXxzjvv5P5es2ZNbN68OelR90mAAAA0Q3xQCJs3b260WtEwMBpujaqqqkp61Fb16NEjDjrooBg8eHAcdNBBjR4PHjw493jYsGECBABgb+KDztq0aVOzMbH3n23btiU9aovKy8tj0KBBTSKi/vGBBx6YezxgwIA2f10BAgDQgPigNevXr2/2jMXef7Zv3570qC3q379/o6BoabXiwAMPjPLyrr9toAABAPg/4qM01dXVxXvvvbfPqFizZk3s2LEj6XGb1bt370Yx0dJqxdChQ6N792QTQIAAAIT4KGZvvvlmrFy5MlauXBnvvPNOrF69ulFYvPPOO0mP2KohQ4bE0KFDY+jQoTFs2LAYOnRoDBkyJIYNG5b7u3///kmP2WYCBAAoeeIjm2pra2P16tWxatWqWLVqVS4y6j9etWpVrFu3LukxW7T//vvnwqKlPwcddFBetkElSYAAACVNfKRTXV1dvPvuu02ComForF27Nmpra5MetYmePXvuMyyGDRsWFRUVSY+aCAECAJQs8ZGcjRs35mKi4d8N/9TU1CQ9ZiNlZWVx4IEHNgqJ+i1QDZ8bOHBg0qOmmgABAEqS+Mif6urqePvttxutWOz9eOvWrUmP2Ui/fv1aDIv6x4MHD078AHcx8L8gAFByxEfnLF++vMmWqIZ/b9y4MekRGxk4cGAMHz48hg8fHiNHjmx0eHvo0KExfPjw6NOnT9JjlgwBAgCUFPHRupqamli5cmWsWLGi2T9r1qyJXbt2JT1mTr9+/WL48OExYsSIXGTUf1z/p2fPnkmPSQMCBAAoGeIjW4HRs2fPZuOi4XNZuvwsuwkQAKAklEp8ZCUwunXrFkOGDGkSFA1j48ADD0x6TPJAgAAARa+Y4iMLgVFWVhYHHHBAs1ui6j8eMmRIdOvWLdE5SYYAAQCKWtbiIwuB0b9//yYrF3uHRo8ePRKdkfQSIABA0UprfKxYsSLeeuutRn/qA6OysjKRmRoaMmRIjBw5MkaMGBGjR4+OYcOGxciRI2PkyJExZswYV4yiUwQIAJBZW7dujcWLF8fixYtjxYoVccghh8Shhx4ahxxySPz4xz9OLD7Wr18fb731VixfvjxWrFgRy5cvz4XGypUrE73BXkVFRYwYMSIXGPVhUf94+PDh7nVBXvmnCwDIpKeeeiq+8pWvxLJly5q81q1bt9i8eXOz/6W+K+Jjx44duaBoLjI2b97cqa/fGQMHDmw2LOr/drCbpAkQACBzvvrVr8btt9/e7GtVVVWxZcuWiNgdCgMGDMi91tb4qKuri9WrVzcbGMuXL481a9ZEXV1dl/ws7dGtW7cYOnRos2ExcuTIGD16dFRUVBR8LmgPAQIAZMq1114bjzzySLOvNYyPiIjt27fHtm3bonfv3k3iY9OmTS2uYqxYsSJ27NiR959lb3369Gl1e9TQoUNdOYrMEyAAQGbcfvvtbY6PiN0rGRs3boyDDz44Ro0aFddee22sWLEili1bFps2bSrEyE2MGDEixo0bF2PGjImxY8fGmDFjYvTo0TFy5MgYNGhQIjNBIQkQACAzHnjggSbP7dq1KzZv3hzbtm1rtC2q/nFZWVm8/vrr8eMf/7ggM1ZUVMTo0aNzcdEwNkaNGuXytJQ8AQIApF5NTU0sXrw45s6dG9u3b4+dO3dGbW1t7u+WzmOUlZVFeXl5l191qn///jF27NhcZDSMjaFDh0ZZWVmXfj8oJgIEAEiFurq6WLVqVSxdujT3509/+lMsXbo0Vq5cGTt27Ij33nuv0efs2rVrn/EREVFbWxu1tbXtOj8xZMiQJisY9X8PHDiw4z8olDgBAgAU1ObNm2PJkiWNAmPp0qXx5ptvRnV1dYuft3dotDU+Wvr87t27526s19x2qV69enXwJwRaI0AAgLxYvHhxLF++PBYtWhRLly6NZcuWxZIlS5qsYrSmrq6u0VmO+scNn9/b3vHRrVu36Nu3b1x//fUxZsyYOPjgg3NnNIDCEyAAQIdt2bIlFi1aFEuWLIklS5bE66+/HkuXLo3ly5e3+WvsHRUNP95bt27dYufOnU1eqz9z0b179+jTp0907949unfvnttydd5558VXv/rVDv2MQNcSIADAPlVVVeVCY/HixbFo0aJYvHhxrFy5ss1fo7nAaM/N/Pr27Rs1NTWxadOmKCsry0VH/d8VFRWNbjrY0DnnnNPm7wPklwABAHI2b96ci4uGofHOO++06fObC4z2REb37t1j6NChMWLEiBg1alSjm/A9/PDD8atf/Sq6desWu3btanSlqdbi44ILLoiPfOQjbZ4ByC8BAgAlaNOmTfH66683CY3Kyso2fX5nVzMGDRqUu8t3fWSMGjUqhg4d2uTweETE3XffHb/61a8iYvclcDdu3Jh7rbX4iIj49re/3ea5gPwTIABQxDZu3BgLFy7MhUb9nzVr1rTp8xuGRmtnM5rTu3fvGD58eKPQGDlyZIwaNapdV5hqGB8Ru4NjyJAhsXnz5qitrW0xPj7wgQ/EbbfdFhUVFW3+XkD+CRAAKAKbN2+OefPmxeuvv97onMa6deva9PmdCY1BgwbFmDFjclumRo8eHSNHjowDDzywwz9Pvb3jo3v37rmtVx/96EfjYx/7WCxcuDAWLVoUK1asiIMPPjgmTpwYhxxySJx22mmd/v5A1xMgAJAhu3btij/96U+xYMGCRn9WrVrVps/fOzTaGhndu3ePYcOGxahRo2LUqFExevToXHD06dOnMz9Si1qLjwsuuCB++tOfRkTE6aefnpfvD+SHAAGAlNq0aVPMmzevUWgsWrQotm/f3urnNXcIvK2h0adPn9w2qfrIGDVqVAwbNiy6dy/crw1tjQ8gewQIACRs165dsXTp0iarGm258lRHVzQGDRrUKDDqg+OAAw7o7I/TaeIDipsAAYAC2rRpU7z22muNQmPx4sVtWtVo71WnunXrFkOHDm02NPK1baqzxAcUPwECAHmyaNGiWLBgQbz++uu5rVRtucxtR1Y1RowYEYccckiMGzcuFxpjxozpih+jYMQHlAYBAgCdtGXLlpg3b17uz8KFC+PVV1/d5+d1JDT69u0b48aNi/Hjx8eYMWNi7Nixcfjhh3fFj5Eo8QGlQ4AAQDusWbMm5s2bF/Pnz4958+bFa6+9FsuXL281HjpyKLy8vDyGDx8eBx98cIwbNy739+DBg7v050kD8QGlRYAAQDPq6upi+fLl8dprr+VWNubPn7/PG/h1dFWjYWjUP+7Ro0dX/TipJT6g9AgQAEpeTU1NLFq0qNE2qgULFkRVVVWrn9fe2CilVY22EB9QmgQIACWlqqoqt32qfgvVkiVLoqamptXPa29sNLeqMXbs2OjZs2dX/jiZJT6gdAkQAIrWtm3b4qWXXoq5c+fGq6++GvPmzYvly5fv8/PaGxv9+vWLQw89NCZMmBCHHnpojB8/PoYNG9ZVP0bRER9Q2gQIAEWhrq4uFi9eHHPmzMn9WbRoUezatWufn9ee2Nhvv/1ykVEfHUOHDu3KH6WoFUt8vPHGGzFr1qy48sorM3dWZ9asWVFTUxOnnnpq7n97KCQBAkAmbdy4MV544YVcbLz88suxefPmVj9HbCSrWOLj+eefj1mzZsVf/uVfpj4+6urqYvPmzbFixYpYvHhxLF68OF5++eWYMGFCvPPOO3HZZZdF9+5+HaSw/BMHQOrt3Lkz5s2b12h1Y9myZa1+jthIl2KJj1mzZsVjjz0WN954Y2rvJt/Qb3/72/j3f//3WLt2bWzYsCEiIiZNmhRf//rX49VXX43bb789rrnmGhFCQfmnDYDUWblyZbz00ku52Hjttddi+/btLb5fbKRbMcXHL37xi/jmN7+ZifiIiLj00kvj0ksvjXfeeSeuu+66mD17dkyaNCmGDRsWY8aMie985zsxY8aMuPjii23HomAECACJqq6ujjlz5sTcuXPjxRdfjLlz53bpvTZ69uwZEyZMiEmTJjkgnoBiiY/Vq1fHD3/4w/jrv/7rTF42uby8PLp16xYREVOnTo1+/fpFRMT06dPjxhtvjKFDh8bJJ5+c5IiUEAECQEFt2LAhZs2aFbNnz47Zs2fH/PnzY+fOnS2+vz2xUVZWFsOHD4+JEyfG4YcfHhMnToxx48ZFeXl5Pn4U9qFY4mPHjh1x2223xcEHHxwnnHBC0uN0yFtvvRWvvvpqDBkyJI4++ujc86NGjYoPf/jD8ZOf/CQOOeSQTMYV2SNAAMirt99+Oxcbs2fPjiVLlrT6/vrI2LVrV5vutXHYYYflguOII47IzNaYYlcs8RERMWfOnHj88cfjlltuyex9XObOnRtVVVUxderUGDlyZKPXzjrrrHjwwQfjoYceiquvvtpWLPJOgADQpRYtWtQoOFatWtXie9uzulFeXh5jxozJxcbhhx8eo0aN8stSChVTfGzdujXuvffemDhxYhxyyCFJj9MhVVVVMW/evIjYvf1q4MCBjV4fPHhwLkLOPvvsGD16dBJjUkIECAAdVltbG6+++mrMnj07nn/++fjjH/8Y69evb/H9DUNjX/fnGDhwYG4b1eGHHx6HHXZYVFRUdPWPQBcrpviIiFi+fHm88MIL8alPfSr69++f9DgdsnLlynjllVciIuK4445rEu1lZWVx3HHHxU033RQzZ84UIOSdAAGgzbZv3x5//OMfc6sbc+bMia1bt7b4/rZup+revXsceuihjYJjyJAh+fgRyKNii4+IiBdffDHWrl0bU6ZMSXqUDps/f34sWbIkjj/++Dj44IObfc/o0aNj8uTJ8fLLL8cll1wSvXr1KvCUlBIBAkCLtmzZEn/4wx9i9uzZMWvWrJg7d26r728YG60FR+/evWPixIlx1FFHxRFHHBGTJ0/u6tEpsGKMj+rq6pg3b15Mnjy5ybmJ9li/fn08/PDD8fvf/z7++Mc/RlVVVZxyyikxffr0OPvss7vkHhz13+Ohhx6K5557LiZOnBif+cxn4uyzz45XX301IiKOPvroFg+ZDxgwICZMmBDz5s2Ld999t1M/L+yLAAEgp6amJl588cV47rnn4tlnn42XX365xStUtef8xoABA+KII46II488Mo466qg4+OCDXZmqiBRjfEREbNy4MZYuXRrDhw+Pvn37tvvzd+zYEb/+9a/jRz/6UVRUVMSnP/3p+Pd///cYMGBAPPLII/HZz342fvCDH8Q555zT4Rl37NgRDz/8cNxyyy1x+eWXx49//OM44IADYtmyZfHP//zPMXfu3Nz2q2OPPbbFQ/QVFRUxbNiweOCBB6KyslKAkFcCBKCE1dXVxfz58+N///d/47nnnovZs2fHtm3bWnxvW4Nj6NChceSRR+b++GWmeBVrfEREbN68OdavXx9HHnlku88frVu3Lr72ta/FAw88ENOnT48bbrghDjjggIiI2LVrV2zcuDGqqqpi1qxZcdZZZ0WPHj3aPd+GDRviu9/9bjzxxBPx7W9/O84888zc//bjxo2Lz372s3HVVVdFZWVljBs3LiZOnNjq1xsxYkRUVVXF8uXLM73ljPQTIAAlZtmyZfHss8/Gs88+GzNnzmzx0Hhbg6OsrCzGjh2bi42jjjoqBg0alM8fgZQo5viI2L2taeHChXHBBRe0KxDWrl0bN954Yzz22GNxww03xPXXX9/oTMWSJUvi9ttvj4iI4cOHdyg+1q5dG1/+8pfj6aefju985zuN4qNe//7944ADDojKysqYMmVKjBo1qtWvOXz48IiIePfdd9s9D7SHAAEocuvWrYv//d//zUXHypUrW3xvw/MbLQVH9+7dY/z48Y1WODqyPYVsK/b4aKg9ZzS2bt0aN998czz22GMxffr0+Ou//usmB7r322+/GD16dBx++OFxySWXtHue+u8xY8aMuPHGG+PCCy9s9nLUO3bsyK1oHnnkkbm7n7ek/k7pW7ZsafdM0B4CBKDIbNmyJWbOnBl/+MMf4tlnn42FCxe2+N62HhqfOHFiHHvssXH00UfHxIkTM3szNrpGqcTHihUrImL31qS2evTRR+OXv/xlTJo0Ka6++upmb4w5fPjwuOuuuzo0U11dXdxzzz3xy1/+MqZNmxZXXnlli4H05ptvxptvvhn9+vWLY489tkPfD/JBgAAUgXnz5sWTTz4ZTz31VMyZMydqa2ubfV9bL4s7bty4OOaYY+KYY46JyZMnR+/evfM1OhlTKvHREZWVlXHvvfdGRMQ555wTY8eO7fLv8frrr+fi5aMf/WgMHTq02fft2LEjZs2aFRG7D5+7twdpIkAAMmjz5s3xzDPPxJNPPhn/8z//E5WVlc2+r603/hs8eHAce+yxuT/7779/vkYnw0otPurPRLS2bbGhl156KZ599tno169fnHHGGbktTV1lx44dcf/998eSJUvi1FNPjWnTprX43vnz58d///d/R0TEMcccEwceeGCXzgKdIUAAMmLBggXx1FNPxZNPPhmzZ89u8X31qxutBUf//v3j6KOPjmOPPTaOOeaY3C9a0JJSi4+IPWciWroUdUM1NTXxwgsvRETE5MmT87Li8Oabb8aTTz4ZEREnn3xyi/f02Lp1a9xzzz25/zAxZcqUNsVQ/cppV9yXBFrjnzCAlNqyZUs888wz8dRTT8VTTz0Vq1evbvZ9bTnH0atXrzjyyCPjmGOOiWOPPTYOPvjgZg+tQnNKMT4iIvr16xfjxo2LjRs3Rk1NTatXq6qqqorFixdHRESfPn3ycifx+juaR0Qcd9xxzf47XFdXF4899ljMnz8/977DDz+8TV9/1apVEdG+My/QEQIEIEUWLlwYTz/9dDz99NMxc+bMFt/XllWOSZMm5Q6Ou9M4HVWq8RERMWjQoBg2bFhUVVXFzp07Ww2QjRs3xnvvvRcRu7c0dvWFGmpra2PRokURsfuM1kEHHdTs+954442YM2dOTJ06NV5++eU44ogjWlwp2Vv95Xf3dble6CwBApCwDRs2xM033xwPPfTQPs9ytHZ4vH///nHCCSfE1KlTY8qUKfu85CbsSynHR8Tuf6fGjh0by5Yti02bNrV6MYbevXvn/p1bsWJFbN26tcX3b926NW677ba48sorWzxEvreamprYsGFD7ns1Fzhr166NW2+9Na688sq49dZbI2L35Xfbshqzffv2WLZsWUyePLnFuIGuIkAAEvDOO+/E73//+/j9738fzz//fLNXrdrXPTnKy8vjsMMOi6lTp8bxxx8f48ePt62KLlPq8RGx+xf9CRMmxJNPPhmVlZUxZMiQVt9bfwPOuXPnxosvvhjnnHNOk/dt2LAhfvSjH8W5557bJD7q6upixowZ8c1vfjNOPfXU+PKXvxwDBw6MiN3nUeqD5q233or33nsvDjnkkNznrlu3Lr7zne/E5ZdfHt27d485c+bEkCFD4uijj46NGzdGRUVFqyGyZcuWWL58eUyYMMGBdfKuPOkBAErFkiVL4pZbbonzzjsvpkyZEl/+8pdj5syZufioX+HYuXNn1NTURG1tbZMVj/79+8dZZ50V//AP/xD33ntv3HzzzfGxj30sJkyYID7oMuJjj6lTp0ZExCuvvNLq+/r37x9nnnlmROw+D/KVr3wl/vM//zO2bt0aERGbNm2KJ554Iq6//vo499xzY8qUKU2+xpo1a+LOO++Mt99+O37961/Ho48+mnutR48ecdhhh+W+/g9+8INYvnx57Nq1K1555ZX4/Oc/H+eff36cdNJJMW/evKisrIxJkybFAQccEA899FCr2zUjIt5+++1YsGBBnHzyyVZPyTsrIAB5NHfu3NxKx9KlS5u8vq8D5GVlZTF+/Pg44YQT4vjjj48JEyZEebn/dkT+iI/GDjvssDjjjDNizpw5cdlllzV7Y8F6F110Ubz22mvxy1/+Mt5+++3427/920avn3feefGd73wnRo4c2abv/dprr8Wll14aFRUVERHxgQ98IM4555x47LHH4oknnognnngiInaf9/rWt74Vxx9/fJSVleXOclRUVMRTTz0V06ZNa3Xuurq6mDVrVowYMaLVS/tCVxEgAF2otrY2/vCHP8Sjjz4av//975u9ctW+omO//faL4447Lneeo3///oUYHcRHM/r06RMXX3xxfOELX4hFixa1ekfxPn36xD/90z/FCSecEPfcc08899xzMWDAgDj11FPjyiuvjGnTprV6OH3w4MHxiU98IhYsWBCnnHJK9OzZM7Zv354LkIMOOii+853vxJAhQ+Khhx6KAw44IK644or46Ec/GgcccEDu6xx66KExZMiQOOCAA+Kcc87Z5yH0NWvWxFNPPRXnnHOOK2BREAIEoJO2bdsWTz/9dDz22GPx2GOPxaZNm5q8Z19XrRo2bFiceuqpcdJJJ8WkSZPyPTI0IT5aduKJJ8YHP/jBeOyxx+Koo45q9T4ZvXr1iosvvjguvvjidn+fsrKyuOiii+Kiiy6K6urquOOOO5q8Z/DgwfHtb387vv3tb7f4dS688MK48MIL2/x9X3rppaiuro6LL764y2+eCM0RIAAdsHXr1pgxY0Y8/PDDuW0Qe9tXdBxyyCExbdq0mDZtWowZMyaf40KrxEfrevXqFdOnT48vfvGLMXfu3Ny5kHzavn171NXV5VY/8mXNmjVx3333xXXXXefyuxSMAAFoox07dsTjjz8ev/vd7+KJJ56I6urqRq/v61K55eXlceSRR8b73ve+OOWUU1xphlQQH20zfvz4uOGGG+LnP/95jB07Nu+Xql21alX069cvrwGyc+fOuP/++2Pq1Knx/ve/P2/fB/YmQAD24fHHH49HHnkkHnroodi2bVuj19pyf44TTjgh3ve+98W0adNiv/32K8TI0Cbio31OOumkWLNmTdx///1xzTXXdPnNBuvV1dXF7Nmz4+STT87L16//HjNmzIiIiGuvvbbVbWXQ1fzTBrCXXbt2xR/+8Id48MEH45FHHsnd/Gvv97QUHX379o2pU6fG+973vjjhhBPadBMwKDTx0X5lZWXx4Q9/OH7/+9/HHXfcEVdddVVeIuSNN96IrVu3NrrPR1eqq6uLp59+OiorK+Paa6/NW0hBSwQIwP954YUX4qGHHooZM2bE2rVrm7ze2pmO/fffP6ZNmxYnn3xyQfaHQ2eIj44rKyuL8847L1566aV44IEH4sorr+zSS2Nv3bo1fve738UVV1yRt1WJZ555Jt5777245pprrHyQCP/UASVtzpw5MWPGjJgxY0asWrWqyeutRUefPn3i5JNPjve///1x3HHHFWJc6DTx0XllZWVx/PHHx/HHH9/lX3vWrFlx5pln5vVA+BlnnJG3rw1tIUCAkrNhw4a477774p577onFixc3eb0+OJqLjt69e8eJJ54YZ5xxRhx//PH+6yGZIj7Sz2FwSoH/5wRKQl1dXcycOTPuvvvu+P3vfx81NTVNXm/p5oA9e/aMqVOnxumnnx4nnXSS/dJkkvgA0kKAAEVtzZo1cc8998RvfvObeOutt5q83tph8vromDZtWvTu3bsQ40JeiA8gTQQIUHRqa2vjqaeeirvvvjueeuqpqK2tbfR6S+c6ysvLY/LkyXH66afHaaedFn379i3k2JAX4gNIGwECFI233347fvWrX8VvfvObqKysbPRaa1usRowYEeeff36ceeaZMWjQoEKODHklPoA0EiBA5t1///1x//33x3PPPdfktZa2WPXs2TPOPPPMOOecc2LSpEmFGhUKRnwAaSVAgEx677334j/+4z/izjvvbHG1o7mrWI0fPz7OPffcOPPMM6NPnz6FGhcKSnwAaSZAgEyZP39+/PSnP40HHnigyWstrXb07t07zjzzzLjgggvi4IMPLtSokAjxAaSdAAFSr7a2Nh599NG4/fbbY/bs2Y1ea22148gjj4xzzz03TjvtNJfOpSSIDyALBAiQWps2bYq77747fvGLX8TKlSsbvdbSasf+++8fH/zgB+P888+P4cOHF3JcSJT4ALJCgACps3Tp0rjtttvirrvuavJaS+ExYcKEuOiii9xFmJIkPoAsESBAajz++ONx2223xcyZMxs939o2q3PPPTcuuOCCOPTQQws1JqSK+ACyRoAAidq1a1f893//d9xyyy2xYMGCJq81t9oxYsSI+NCHPhTnnHOOmwVS0sQHkEUCBEjMr371q7jllltixYoVjZ5vKTymTZsWH/rQh+K4444r5JiQSuIDyCoBAhRUdXV13HnnnXHrrbfG6tWrG71WW1vbZJvVoEGDctus3KUcdhMfQJYJEKAgNm7cGD//+c/j5z//eaxfvz73fEvnOyZMmBCXX355nHbaaYUeFVJNfABZJ0CAvFq7dm3ceuutceedd8aWLVtyz7cUHkcffXRceeWVceyxxxZ6VEg98QEUAwEC5MXq1avjpptuinvvvTd27tyZe7658CgrK4sTTzwxPvaxj8WECROSGBdST3wAxUKAAF3q3Xffje9///tx9913x44dO3LPN3ewvLy8PM4444y48sorY/To0UmMC5kgPoBiIkCALrFhw4b4wQ9+EHfccUds374993xLV7Q6//zz48/+7M9i6NChhR4VMkV8AMVGgACdsnnz5rj11lvjZz/7WVRVVeWer6uri9ra2kbh0bt37/jQhz4Ul112WQwcODCJcSFTxAdQjAQI0CHbtm2Ln/3sZ/GTn/wkNm7cmHu+ufDo2bNnXHrppXH55ZdHv379khgXMkd8AMVKgADtsm3btvj1r38dN998c6xbty73fEtXtfrwhz8cH/3oR614QDuID6CYCRCgzf7rv/4rvvnNbza6gWBz4dGtW7c4++yz48///M/jgAMOSGJUyCzxARQ7AQLs06uvvhpf+tKXYs6cObnnmguP8vLyOPPMM+MTn/iEw+XQAeIDKAUCBGjRu+++G//v//2/uO+++xqd6aitrW1yH49TTz01PvnJT8bIkSOTGBUyT3wApUKAAE3U1NTEz372s/j+97/f6MpWu3btitra2kbvPfHEE2P69Okxbty4Qo8JRUN8AKVEgACNPPLII/HNb34zli1blnuuuStbjRw5Mj7zmc/E5MmTE5gSiof4AEqNAAEiImLlypXxuc99Lp599tncc82d8+jXr19Mnz49LrjggiTGhKIiPoBSJECAeOKJJ+ILX/hCVFZW5p7be7tVeXl5nH/++fGpT30q9ttvvyTGhKIiPoBSJUCghL377rvx//1//1/MmDEj91z9ikfD7VaTJ0+O66+/PsaMGZPEmFB0xAdQygQIlKjf/OY38bWvfS13F/PmznkMGTIkrr322jjllFOSGhOKjvgASp0AgRKzfPny+OxnPxuzZ8/OPbf3dqtevXrFFVdcEZdffnn06NEjiTGhKIkPAAECJeUHP/hBfOtb38p93Nyqx5//+Z/H+eefH4MGDUpiRCha4gNgNwECJWD+/Pnxmc98JhYuXJh7bu+bCU6YMCE+//nPx+jRo5MYEYqa+ADYQ4BAEdu+fXt84xvfiF/84he5VY69Vz369OkT06dPjwsvvDD3CxHQdcQHQGMCBIrUvHnz4i//8i/jzTffzD2396rHcccdF5/73OfiwAMPTGJEKHriA6ApAQJFZteuXfHDH/4wbrrppqipqck91/DSugMGDIjrrrsuTjvttCRHhaImPgCaJ0CgiKxYsSKuv/76ePHFF3PP7b3qcfbZZ8df/MVfRL9+/ZIYEUqC+ABomQCBInHvvffGV77ylaiqqoqIpmc9evfuHddff3184AMfSHJMKHriA6B1AgQybv369fHZz342Hn/88dxze9/X4+CDD44vf/nLMXz48CRGhJIhPgD2TYBAhq1evTo+/vGPt3p53csuuyyuvfbaJMaDkiI+ANpGgEBGzZo1K66++urYsGFDRDRd9ejfv3/84z/+Yxx33HEJTQilQ3wAtF150gMA7XfLLbfERz7ykVx81NbWNoqPo48+On7605+KDygA8QHQPlZAIEOqqqrir/7qr+Kpp57KPddwy1X37t3jU5/6VFx++eVuKggFID4A2k+AQEYsXLgwrr766li2bFlENL3K1fjx4+PGG2+MUaNGJTgllA7xAdAxAgQy4L//+7/jM5/5TFRXV0dE0/Mep512WnzhC1+IHj16JDUilBTxAdBxAgRS7h/+4R/irrvuyn2891Wu/uIv/iIuvfTSJEaDkiQ+ADpHgEBKVVVVxac//emYOXNm7rmdO3fmtlz17ds3vvKVr8QxxxyT0IRQesQHQOcJEEihd999Nz72sY/FvHnzIqLpeY8xY8bEN77xjRg8eHCSY0JJER8AXUOAQMqsWLEiLr/88lixYkVEND3vceKJJ8YXv/jF6NWrV1IjQskRHwBdR4BAisyfPz8++tGPxrvvvhsRTePDeQ8oPPEB0LUECKTEH//4x/j4xz8eVVVVEdE4Pnr27Bn//M//7MaCUGDiA6DruRM6pMAjjzwSH/nIR3Lx0fDO5v37949//dd/FR9QYOIDID8ECCTsJz/5SVxzzTWxY8eOiGh8md0DDzwwbrrppjjssMOSHBFKjvgAyB9bsCBB3/ve9+Lf/u3fch83vMzuqFGj4jvf+U4MGjQoqfGgJIkPgPwSIJCQb3zjG/GTn/wk93HD+DjssMPiX/7lX6Jv375JjQclSXwA5J8tWJCAb33rW7n4qKuraxQfJ5xwQnz3u98VH1Bg4gOgMMr+7d/+rS7pIaDeM888E88880xERJx++ulx+umnJzxR13v88cdj1qxZuY937dqVi48jjjgi3ve+9yU1GpSsOXPmxEsvvZT7uLy8PBcfkyZNissvvzyp0QCKTtmwYcMECKmxZcuW3JWg+vXrV3SrAJs3b46tW7c2+1qvXr2iT58+BZ4I2LZtW2zbti33cX14RERUVFTE/vvvn8RYAEXLFiwoEPEB6SM+AArPFixSpVi3YL300kvx8MMP5z5uuO1qypQp7vEBCbDtCiAZ3W+44YakZ4BGXnzxxYjYHSDF8M/nk08+GTfddFP07ds36urqora2Nhcf06dPjyuvvDLhCaH03H333bFw4cLcyqMD5wCF4zK8kEfz5s2La665Jvdxw/i45ppr/BdWSICrXQEkyxkQyJNly5bFlVdeGdu3b4+Ixvf5uOKKK8QHJEB8ACRPgEAerF+/Pj7ykY/Ee++9FxGNVz5OOumk+NSnPpXkeFCSxAdAOggQ6GJbt26NK664IlauXBkRu+Nj165dEbH7Dudf/vKXo7zcv3pQSOIDID38FgRdqLa2NqZPnx7z5s2LiN1Xu6qPj5EjR8a//Mu/RPfujl5BIYkPgHQRINCF/vZv/zaee+65iNgdH7W1tRERMWDAgPjWt75VdDdWhLQTHwDpI0Cgi9x0003x4IMPRkTkLrcbEdGnT5/49re/HQcddFCC00HpER8A6SRAoAs8++yz8b3vfS8idsfHzp07IyKiW7du8Y1vfCPGjh2b4HRQesQHQHoJEOikFStWxLXXXpu7ylX9ykdExD/8wz/EEUcckdRoUJLEB0C6CRDohB07dsT06dNj06ZNEdH4crt/8Rd/EaeddlqS40HJER8A6SdAoBP+/u//PhYuXBgRja94NW3atLj00kuTHA1KjvgAyAYBAh101113xW9/+9uIaHzofNSoUXHjjTcmORqUHPEBkB0CBDrgtddeiy9/+cu5j+vjo3fv3vG1r30tKioqkhoNSo74AMgWAQId8Hd/93dRU1MTERE7d+7Mnfv4whe+EMOHD09yNCgp4gMgewQItNM3vvGNeP311yOi8aHzj3zkI/G+970vydGgpIgPgGwSINAOs2bNip/85CcRsfvcR/2h82OOOSauvvrqJEeDkiI+ALJLgEAbbd68Oa677rrcx/XnPnr27Bmf+cxnkhoLSo74AMg2AQJt9PnPfz4qKysjovHWq6uuusq5DygQ8QGQfQIE2uA///M/Y8aMGRHR+H4fkyZNiosuuijJ0aBkiA+A4iBAYB9WrVoVX/rSl3If12+96tWrV/zjP/5j7hcgIH/EB0DxECCwD3/zN38Tmzdvjog98RERcd1118XgwYOTGgtKhvgAKC4CBFrx8MMPx/PPPx8RjbdeTZkyJc4+++wkR4OSID4Aio8AgRZUV1fHP/3TP+U+rl/96Nu3b9xwww1JjQUlQ3wAFCcBAi343ve+F++8805ENN569bnPfS4GDRqU1FhQEsQHQPESINCMpUuX5n7BaXjDwdNOOy2mTZuW5GhQ9MQHQHETINCMv//7v4+ampqIaHzDwb/6q79KciwoeuIDoPgJENjLgw8+GC+++GJE7D54Xn/DwU9+8pO2XkEeiQ+A0iBAoIGqqqr453/+59zH9asfI0eOjEsvvTShqaD4iQ+A0iFAoIHvfe97sWbNmohofPD87/7u76K83L8ukA/iA6C0+I0K/s+GDRvizjvvjIjGB8/POuusOOqoo5IcDYqW+AAoPQIE/s+//uu/xtatWyNiz+pHnz59HDyHPBEfAKVJgEBErFixIn7xi19EROOD55deemn0798/ydGgKIkPgNIlQCAivvvd7+Ye12+96tu3b1xyySVJjQRFS3wAlDYBQslbunRp/Pa3v42IxqsfV155ZfTt2zfJ0aDoiA8ABAgl7+tf/3pu1aP+74EDB8ZFF12U5FhQdMQHABEChBL3yiuvxOOPPx4RjVc/PvGJT0TPnj2THA2KivgAoJ4AoaR985vfzD2uX/0YPnx4nH/++UmNBEVHfADQkAChZL3++usxc+bMiGi8+jF9+vQEp4LiIj4A2JsAoWT96Ec/yj2uX/0YN25cnHbaaUmNBEVFfADQHAFCSaqsrIzf/e53EdF49cNld6FriA8AWiJAKEk//OEPY+fOnRGxZ/VjwIABcdZZZyU5FhQF8QFAawQIJWfjxo25X44arn5cdNFF0b179yRHg8wTHwDsiwCh5Nx+++1RXV0dEXtWP3r27BkXXnhhkmNB5okPANpCgFBSqqur4/bbb4+IiLq6utzqx7nnnhv9+vVLcjTINPEBQFsJEErKPffcExs3boyIPasf5eXlcemllyY5FmSa+ACgPQQIJeWee+6JiN2rH/UBcvLJJ8fQoUOTHAsyS3wA0F4ChJLx8ssvx4IFCyJiz+pHRMRll12W1EiQaeIDgI4QIJSMu+++O/e4PkAmTZoUkyZNSmokyCzxAUBHCRBKwtatW+PBBx+MiMarHxdccEFCE0F2iQ8AOkOAUBLuu+++2Lp1a0TsCZC+ffvGqaeemuRYkDniA4DOEiCUhDvvvDMiGl969/3vf3/06NEjybEgU8QHAF1BgFD0XnrppXj99dcjovH2q/POOy+pkSBzxAcAXUWAUPTuuuuu3OP61Y8JEybEuHHjkhoJMkV8ANCVBAhFrbq6Ou67776I2L360fDO58C+iQ8AupoAoag9/fTTucf18RERccYZZyQwDWSL+AAgHwQIRW3GjBm5x/XnP84999zo06dPUiNBJogPAPJFgFC0qqur49FHH42IxofPzzrrrKRGgkwQHwDkkwChaD3++ONRXV0dEXu2Xw0cODCOOuqoJMeCVBMfAOSbAKFoNbf96tRTT839MgU0Jj4AKAQBQlGqrq6OJ554IiIab786/fTTkxoJUk18AFAoAoSi9Nhjj+W2X9UHyMCBA2PSpElJjgWpJD4AKCQBQlH63e9+l3tcf/7jjDPOsP0K9iI+ACg0AULRqaqqiieffDIiGm+/Ou2005IaCVJJfACQBAFC0Xn00UejpqYmIvYEyODBg2PixIlJjgWpIj4ASIoAoejUr35E7Nl+dfLJJyc1DqSO+AAgSQKEolJXVxdPP/10RDTefjVlypSkRoJUER8AJE2AUFRefPHF2LRpU0TsWf3o3r17HHfccUmOBakgPgBIAwFCUWlu+9UxxxwT3bt3T2okSAXxAUBaCBCKSn2A1NXV5QJk6tSpSY4EiRMfAKSJAKForFu3LubPnx8Re1Y/IgQIpU18AJA2AoSi8fjjj+ce1x9AHz58eAwfPjypkSBR4gOANBIgFI3mzn9Y/aBUiQ8A0kqAUDSeffbZiGh8+d0TTzwxqXEgMeIDgDQTIBSFJUuWNLn8bkVFhcvvUnLEBwBpJ0AoCn/4wx9yj+sD5LDDDktqHEiE+AAgCwQIReH555/PPa4PkCOPPDKpcaDgxAcAWSFAKAr1AdLw/MdRRx2V1DhQUOIDgCwRIGTesmXLorKyMiL2rH5069YtjjjiiCTHgoIQHwBkjQAh85rbfjV+/Pjo2bNnUiNBQYgPALJIgJB5zQWI7VcUO/EBQFYJEDKvPkDq4yPCAXSKm/gAIMsECJlWWVkZb731VkTsOYBeXl4ekydPTnIsyBvxAUDWCRAyrbn7f4wdOzZ69+6d1EiQN+IDgGIgQMi02bNn5x47/0ExEx8AFAsBQqa98sorEdH4/MfRRx+d1DiQF+IDgGIiQMismpqaWLBgQUQ0DpDDDz88qZGgy4kPAIqNACGzXn/99aipqYmIPQEyYMCAGDRoUJJjQZcRHwAUIwFCZtVvv4rYEyATJkxIahzoUuIDgGIlQMisV199NfdYgFBMxAcAxUyAkFn1AdLw/Mf48eOTGge6hPgAoNgJEDKppqYmFi5cGBEChOIhPgAoBQKETFq4cKED6BQV8QFAqRAgZFJz5z8OO+ywpMaBThEfAJQSAUImNXcFLNuvyCLxAUCpESBk0p/+9KeIaHz+wxWwyBrxAUApEiBkUnMH0EeOHJnUONBu4gOAUiVAyJx169bFhg0bImJPgHTv3j2GDx+e4FTQduIDgFImQMicRYsW5R7XB8iYMWOSGgfaRXwAUOoECJmzePHiJs8JELJAfACAACGDGgaIFRCyQnwAwG4ChMypD5CGB9AFCGkmPgBgDwFC5tSfAWkYIKNHj05qHGiV+ACAxgQImbJhw4ZYt25dRLgCFuknPgCgKQFCptTf/yNiT4BY/SCNxAcANE+AkCkNL8Fbb+zYsYUfBFohPgCgZQKETFmyZEnusRUQ0kh8AEDrBAiZUh8groBFGokPANg3AUKmLFu2LCIaB8jQoUMTmgb2EB8A0DYChMyora2Nt99+u8nzI0aMSGAa2EN8AEDbCRAyY8WKFbnH9Ssg+++/f/Ts2TOpkUB8AEA7CRAyY/ny5bnH9QEybNiwpMYB8QEAHSBAyIyGAVJPgJAU8QEAHSNAyIy33nor99gKCEkSHwDQcQKEzKhfAXEFLJIkPgCgcwQImdHcFiwBQiGJDwDoPAFCZjR3E0JbsCgU8QEAXUOAkAnr16+P7du3R8SeACkvL4+DDjooybEoEeIDALqOACETXAGLpIgPAOhaAoRMcAUskiA+AKDrCRAy4e233849rg+Q4cOHJzUOJUB8AEB+CBAy4Z133mny3KBBgxKYhFIgPgAgfwQImbB69eqIaHwFrAMOOCCpcShi4gMA8kuAkAn1AdKQAKGriQ8AyD8BQiZUVlZGROMVkAMPPDCpcShC4gMACkOAkAlWQMgn8QEAhSNASL333nsvdu7cGRF7VkAqKiqib9++SY5FkRAfAFBYAoTUs/pBvogPACg8AULqNQyQ+hUQ5z/oLPEBAMkQIKRe/QH0hqyA0BniAwCSI0BIPSsgdCXxAQDJEiCknjMgdBXxAQDJEyCkXnN3QR80aFBS45BR4gMA0kGAkHrNnQGxBYv2EB8AkB4ChNRzF3Q6Q3wAQLoIEFKvuRWQwYMHJzAJWSM+ACB9BAiptnbt2tzj+hUQd0CnLcQHAKSTACHV3nvvvSbP7b///glMQpaIDwBILwFCqjUMkPoVEAFCa8QHAKSbACHVmlsB6d+/fwKTkAXiAwDST4CQarZg0VbiAwCyQYCQarZg0RbiAwCyQ4CQarZgsS/iAwCyRYCQavUB0vAmhFZAqCc+ACB7BAiptm7duibPCRAixAcAZJUAIdVswaI54gMAskuAkGq2YLE38QEA2SZASDWX4aUh8QEA2SdASK3a2trYunVrROxZASkrK4u+ffsmORYJER8AUBwECKm1ZcuWJs8NHDgwgUlImvgAgOIhQEit+tWPhmy/Kj3iAwCKiwAhtbZt25Z77C7opUl8AEDxESCkVnMrIC7BWzrEBwAUJwFCalVXV+ce16+A7LfffkmNQwGJDwAoXgKE1Nq+fXuT5/r06ZPAJBSS+ACA4iZASK2GKyD1BEhxEx8AUPwECKnV3AqIe4AUL/EBAKVBgJBa9QFSf/4jwgpIsRIfAFA6BAipZQtWaRAfAFBaBAipZQtW8RMfAFB6BAip5SpYxU18AEBpEiCkVnNnQKyAFAfxAQClS4CQWs6AFCfxAQClTYCQWs0FiBWQbBMfAIAAIZXq6upyW6/q/y4vL48ePXokORadID4AgAgBQko1PPdRb7/99ktgErqC+AAA6gkQUqm5ALH9KpvEBwDQkAAhlXbt2tXkOQfQs0d8AAB7EyCkUsMVkPrHAiRbxAcA0BwBQio1twVLgGSH+AAAWiJASKXmtmA5A5IN4gMAaI0AIZWa24IlQNJPfAAA+yJASCVbsLJHfAAAbSFASCWX4c0W8QEAtJUAIZWaC5CKiooEJmFfxAcA0B4ChFSqD5CGIdKrV6+kxqEF4gMAaC8BQipZAUk/8QEAdIQAIZWaC5CePXsmMAnNER8AQEcJEFLJCkh6iQ8AoDMECJnhDEjyxAcA0FkChFSyBSt9xAcA0BUECKnU3FWwbMFKjvgAALqKACGVnAFJD/EBAHQlAUIqNRcgzoAUnvgAALqaACGVnAFJnvgAAPJBgJBKVkCSJT4AgHwRIKROw/iof2z1o3DEBwCQTwKETBAghSE+AIB8EyCkjitgJUN8AACFIEBIHQFSeOIDACgUAULqCJDCEh8AQCEJEFKnuUPoroCVH+IDACg0AULqWAEpDPEBACRBgJA6bkKYf+IDAEiKACF13IQwv8QHAJAkAUIm2ILVNcQHAJA0AULqNHcIXYB0nvgAANJAgJA6zoB0PfEBAKSFACF1nAHpWuIDAEgTAULquAxv1xEfAEDaCBAyoVu3bkmPkDniAwBIIwFC6jS3AtKjR48EJsku8QEApJUAIRO6d++e9AiZIT4AgDQTIKROcysgAqRtxAcAkHYChEwQIPsmPgCALBAgpI4zIO0nPgCArBAgZIIVkJaJDwAgSwQIqVO/AtJwJcRleJsnPgCArBEgZIItWE2JDwAgiwQIqeMqWPsmPgCArBIgZIIA2UN8AABZJkBIHSsgLRMfAEDWCRAyQYCIDwCgOAgQUscKSFPiAwAoFgKETCjlABEfAEAxESCkjhWQPcQHAFBsBAiZUIoBIj4AgGIkQEgdKyDiAwAoXgKETCilABEfAEAxEyCkTnMrID169EhgksITHwBAsRMgZEIpBIj4AABKgQAhdfZeASkvL/5/TMUHAFAqiv83OzJl586dTZ4r9vMf4gMAKCUChFSpra3NPa5fCSnm7VfiAwAoNQKEVNm1a1eT57p165bAJPknPgCAUiRASJVS2YIlPgCAUiVASJXmVkCKbQuW+AAASpkAIVUangGpV0wrIOIDACh1AoRUKeYAER8AAAKElCnWABEfAAC7CRBSpbkAyfoZEPEBALCHACFViu0yvOIDAKAxAUKqFNMKiPgAAGhKgJAqxXIGRHwAADRPgJAqxRAg4gMAoGUChFTJ+hkQ8QEA0DoBQqrU1dU1ea68PBv/mIoPAIB9y8ZvdpSM5lZA6n+JTzPxAQDQNgKEVGluBSTtW7DEBwBA2wkQUqW5AEnzCoj4AABoHwFCqmTpELr4AABoPwFCqmRlBUR8AAB0jAAhVRoGSP3jtF0FS3wAAHRcun6zo+Q1twUrTQEiPgAAOic9v9lBpPsqWOIDAKDzBAipktYzIOIDAKBrCBBSJY13QhcfAABdR4CQKmk7AyI+AAC6lgAhVdK0AiI+AAC6ngAhVdISIOIDACA/BAipkoYtWOIDACB/BAipkvQKiPgAAMgvAUKqJLkCIj4AAPJPgJAqSa2AiA8AgMIQIKRKEjciFB8AAIUjQEiV5gKkW7dueft+4gMAoLAECKnS3BmQfK2AiA8AgMITIKRKoc6AiA8AgGQIEFKlEAEiPgAAkiNASJV8B4j4AABIlgAhVfJ5BkR8AAAkT4CQKvm6Cpb4AABIBwFCquTjPiDiAwAgPQQIqdLcFqzOrICIDwCAdBEgpEpXngERHwAA6SNASL2OXAVLfAAApJMAIVWaWwFpb4CIDwCA9BIgpEpnr4IlPgAA0k2AkCqduQqW+AAASD8BQqp0dAuW+AAAyAYBQqo0twKyrwARHwAA2SFASJX2Boj4AADIFgFCqrQnQMQHAED2CBBSpa1nQMQHAEA2CRBSpS0rIOIDACC7BAipsq8VEPEBAJBtAoRUaW0FRHwAAGRf96QHgHrPPvtsvPfee7kI2bFjR5SVlcX8+fPj1VdfFR8AAEWgrK65/+QMBfbVr341br/99lizZk3s3LkzInbfAb2srCwqKipi165dsd9++0VZWZn4AADIMCsgJO6KK66I5557rtnX6urqYvv27RER8d5778UBBxwgPgAAMswZEBL1X//1Xy3GR0TjMyFlZWWxadOmiBAfAABZZQsWiZk7d25ccMEFjZ5ruAWrXnl5eW7VIyLilFNOif/5n/8pxIgAAHQxKyAk5t57723351RUVET37nYOAgBklQAhMQsXLmzyXHP3AalXUVERAwYMiIULF8bWrVvzORoAAHkiQEjMggULGn1cVVXVYoDUx0e9xYsX53M0AADyRICQClVVVbFly5ZmX9s7PgAAyC4BQmImTZoUEa3HR1lZWfTv37/J8xMmTMjrbAAA5IcAITETJ07cZ3yUlzf9R3TixInRp0+ffI8HAEAeCBASs2PHjhbjozUf+9jH8jANAACFIEBIxE033RT33ntv7L///u36vAkTJsRVV12Vp6kAAMg3AULB3XTTTfG9730vIiJ69eoVPXv2zL3W8IaDzT3n7ucAANkmQCiohvFRb+DAgdGvX78YOHBgs2c+IiI+/vGPx8qVKx0+BwDIOAFCwTQXH/WuuOKKePPNN2PgwIFRVlYWZWVl0bNnz9h///3jiSeeiO9+97sFnhYAgHzonvQAlIbW4uOCCy7Iba3q2bNnbstVRUVFVFRUxIEHHliwOQEAyC8rIORdW+MDAIDiJ0DIK/EBAEBDAoS8ER8AAOxNgJAX4gMAgOYIELqc+AAAoCUChC4lPgAAaI0AocuIDwAA9kWA0CXEBwAAbSFA6DTxAQBAWwkQOiXr8fHGG2/EXXfdFTU1NUmP0mGzZs2K//3f/426urqkRwEA2CcBQodlPT6ef/75mDFjRlx22WXRo0ePpMeJnTt3xtq1a2P27Nnxy1/+Mr70pS/FNddcE2+//Xarn3fiiSfG2rVr47777oudO3cWaFoAgI7pnvQAZFPW42PWrFnx2GOPxY033hh9+vRJepyorq6Or3/96zFz5sxYsmRJ7vmrr746Bg8e3OrnlpeXxyWXXBK//e1v4/bbb49rrrkmunf3rzYAkE5WQGi3YoiPX/ziF3HdddelIj4iInr16hX/8i//Es8880zcf//9ueePPfbY6Nmz5z4/v7y8PC688MJYu3ZtzJgxw3YsACC1BAjtkvX4WL16dfzwhz+MT37yk/tcWUhKbW1tRERMmjQpjj766DZ/Xs+ePWP69Olx3333xfPPP5+v8QAAOkWA0GZZj48dO3bEbbfdFgcffHCccMIJSY/TrNra2pg9e3ZE7A6QIUOGtOvzR40aFR/+8IfjJz/5SaxZsyYfIwIAdIoAoU2yHh8REXPmzInHH388Lr300jZta0rCxo0b4+WXX46IiKlTp0a/fv3a/TXOOuus2L59ezz00EO2YgEAqSNA2KdiiI+tW7fGvffeGxMnToxDDjkk6XFa9Pbbb8eCBQtiyJAh7dp+1dDgwYPjrLPOigcffDBWrFjRxRMCAHSOAKFVxRAfERHLly+PF154IY4//vjo379/0uO06Pnnn4/KysqYOnVqjB07tkNfo6ysLI477rhYvHhxzJw5s2sHBADoJAFCi4olPiIiXnzxxVi7dm1MmTIl6VFaVFVVFfPmzYuI3ec/9ttvvw5/rdGjR8fkyZPj5Zdfjurq6q4aEQCg0wQIzSqm+Kiuro558+bF5MmTY+TIkZ36OjNmzIiPf/zjMWHChHj/+98fjzzySOzatStqamrihRdeiG9961uxbNmyDn39lStXxiuvvBL9+vWLadOmRU1NTTz88MPxZ3/2ZzF8+PC44IIL4sEHH4wdO3bs82sNGDAgJkyYEAsXLox33323Q/MAAOSDAKGJYoqPiN0Hu5cuXRrDhw+Pvn37tvvz6+rq4sUXX4xLL700nnjiifjmN78Zr7/+ejz44IOxZMmSeP755+Pf/u3f4uKLL44NGzbE0KFDOzTn/PnzY8mSJXHsscfGoEGD4utf/3pce+218dxzz0XE7kP01113XfzsZz/b5x3PKyoqYtiwYfH6669HZWVlh+YBAMgHAUIjxRYfERGbN2+O9evXx6BBg6KioqJdn7tz5874zW9+E1dddVVcfvnl8a//+q8xbty4KC8vj/322y8uueSSeOSRR2LOnDkREXHkkUdGr1692j1jTU1NvPrqqxERMW7cuLjjjjvi2GOPjTfeeCPeeuutuPXWW3OrN//xH/8RixYt2ufXHDFiRFRVVcXy5cvbPQ8AQL4IEHKKMT4iItavXx8LFy6M/fffP3r06NHmz9u5c2fcdttt8dWvfjX+8i//Mj75yU82uXzvfvvtF3/6059i5syZnbpyVWVlZS5iZs+eHRdccEFcdtll0adPn+jevXt86EMfio985CMRsedKWfsyfPjwiAhbsACAVBEgRETxxkdD3bt3b/N76+rqYsaMGfH9738/Lrroovj0pz+9z8+fNGlSh8+Y/OlPf4oXX3wxIiL+5m/+Jk466aRGr3fr1q1R3Lz99tv7/JrdunWLiIgtW7Z0aCYAgHwQIBR9fNTfC2PEiBFt/pw33ngjfvSjH8WwYcPiqquuij59+jT7vh07duQOhR955JGx//77t3u+hnc/P++88+IDH/hAlJWVNXnfwIEDc487cpYFACANBEiJK/b46Ijq6ur45S9/GQsWLIjLL788JkyY0OJ7V61aFUuXLo2IiClTpuRWHdqj4d3PP/CBD7QYMe+8807ucUcPugMAJE2AlLBSiY/6sxArV65s0/tffvnleOSRR2L8+PFx9tlntxgVdXV18cILL0RlZWUcf/zxMWnSpA7Nt3z58liwYEGMHz8+jjvuuBbft3r16ojYfUh9/PjxHfpeAABJEyAlqlTiI2LPWYh9Xbo2YvfVqB599NGorKyM0047LcaNG9fieysrK+OJJ56IiIiJEyfGgQce2KH5/vjHP0ZlZWUcffTRLW4Tq66uzq20nHDCCTFmzJh9ft3a2tqIaN/ZFwCAfBMgJaiU4iMiol+/fjFu3LjYuHFj1NTUtPrehlejmjx5cpOrXtWrra2N//qv/4qZM2dGRMcvv9vw7udTp06Nfv36Nfu+NWvWxPz58yMi4oMf/GCLZ1IaWrVqVUS07+wLAEC+CZASU2rxERExaNCgGDZsWFRVVe1zFeSdd97JXY1q7NixLb7vhRdeiF/+8pcREZ26/G793c9b+xp1dXXx7LPPxpw5c+LCCy+MadOmtelr119+d9SoUR2aDQAgHwRICSnF+IiI6N+/f4wdOzaWLVsWmzZtavW99VfMas2SJUvivvvui1NOOSUiOnf53fq7nx933HEtbquqrKyMBx98MEaOHBnXXHNNm660tX379li2bFlMnjw5DjrooA7NBgCQDwKkRJRqfERE9O7dOyZMmBBLly6NysrKNn/e5s2bmzz36quvxq233hp/9Vd/FVVVVRGx5/K7lZWVsWvXrtx76+rq4qGHHooTTjghbrjhhli/fn2jr7Vjx46YO3duREQcddRR0b9//ybfr/5O7K+88kp88YtfjOOPP75Ns2/ZsiWWL18eEyZM6PDZFACAfBAgJaCU46Pe1KlTIyLilVdeafV9hx56aAwZMiQiIn72s5/F4sWLo66uLt5999348Y9/HDfffHP8/d//fezatSt3JmPKlCmxatWqePzxxxsFyJo1a+LOO++Mt99+O37961/Ho48+2uh7rVmzJl555ZXo169fTJs2rcm9P3bu3Bn3339/3HHHHfG1r30tLrzwwmbvD9Kc+ruln3zyyS2eKwEASIIAKXLiY7fDDjsszjjjjJgzZ05s3bq1xfdNmDAhzj///IiIeOaZZ+KMM86IESNGxOTJk2PdunVx8803x8iRI6OqqirefPPNiNh9H49nn302Lr300lavOPXaa6/F9u3bcx8PHjw4Pv3pT8eIESPif/7nf2L58uWxa9eu2LlzZyxcuDBuuOGGuOuuu+KOO+6IK6+8ss1Xs6qrq4tZs2bFiBEj2nxeBACgUFyfs4iJjz369OkTF198cXzhC1+IRYsWxbHHHtvs+3r16hVf+MIXon///vGf//mfUVVVFeecc05cddVVccQRR0R5+e5mP+igg2Lq1KlRVVUV27Ztiz/7sz9rchWswYMHxyc+8YlYsGBBnHLKKdGzZ8/Yvn17VFRUREREz54945JLLokzzjgjHnzwwfjc5z4Xs2bNigEDBsSpp54aV1xxRbzvfe9r99W11qxZE0899VScc845roAFAKROWV1dXV3SQ9D1shofI0aMyN1wr1+/ftG3b9+YO3dubltUZ1RXV8c3vvGN2G+//eLzn/98Qe+PUV1dHXfccUf8+Z//ebNnPbrSI488Ej/96U/jhz/8oStgAQCpYwtWEcpqfORbr169Yvr06fHiiy/mDn8Xyvbt26Ouri63+pEva9asifvuuy+uu+468QEApJIAKTLio3Xjx4+PG264IX7+85/H2rVrC/Z9V61aFf369ctrgNQfWp86dWq8//3vz9v3AQDoDAFSRMRH25x00klx3nnnxf333x87duzI+/erq6uL2bNnx0knnZTX7zFjxoyIiLj22msLur0MAKA9BEiREB9tV1ZWFh/+8Idj7Nixcccdd+Q9Qt54443YunVrHHLIIXn5+nV1dfH0009HZWVlXHvttdGzZ8+8fB8AgK4gQIqA+Gi/srKyOO+88+L444+PBx54oNH9O7rS1q1b43e/+11ceOGFeVuVeOaZZ+K9996La665RnwAAKnnKlgZV2zxkc+rYCXhySefjAEDBsSUKVOSHgUAIBVsFM+wYouPYuQwOABAY7ZgZZT4AAAgiwRIBokPAACySoBkjPgAACDLBEiGiA8AALJOgGSE+AAAoBgIkAwQHwAAFAsBknLiY/dNAwEAKA4CJMXEBwAAxUaApJT4AACgGAmQFBIfAAAUKwGSMuIDAIBiJkBSRHwAAFDsBEhKiA8AAEqBAEkB8QEAQKkQIAkTHwAAlBIBkiDxAQBAqREgCREfAACUIgGSAPEBAECpEiAFJj4AAChlAqSAxAcAAKVOgBSI+AAAAAFSEOIDAAB2EyB5Jj4AAGAPAZJH4gMAABoTIHkiPgAAoCkBkgfiAwAAmidAupj4AACAlgmQLiQ+AACgdQKki4gPAADYNwHSBcQHAAC0jQDpJPEBAABtJ0A6QXwAAED7CJAOEh8AANB+AqQDxAcAAHSMAGkn8QEAAB0nQNpBfAAAQOcIkDYSHwAA0HkCpA3EBwAAdA0Bsg/iAwAAuo4AaYX4AACAriVAWiA+AACg6wmQZogPAADIDwGyF/EBAAD5I0AaEB8AAJBfAuT/iA8AAMg/ARLiAwAACqXkA0R8AABA4ZR0gIgPAAAorJINEPEBAACFV5IBIj4AACAZJRcg4gMAAJJTUgEiPgAAIFklEyDiAwAAklcSASI+AAAgHYo+QMQHAACkR1EHiPgAAIB0KdoAER8AAJA+RRkg4iO76urqmjxXVlaWwCQAAORD0QWI+AAAgPQqqgARHwAAkG5FEyDiAwAA0q8oAkR8AABANmQ+QMQHAABkR6YDRHwAAEC2ZDZAxAcAAGRPJgNEfAAAQDZlLkDEBwAAZFemAkR8AABAtmUmQMQHAABkXyYCRHwAAEBxSH2AiA8AACgeqQ4Q8QEAAMUltQEiPgAAoPikMkDEBwAAFKfUBYj4AACA4pWqABEfAABQ3FITIOIDAACKXyoCRHwAAEBpSDxAxAcAAJSORANEfAAAQGlJLEDEBwAAlJ5EAkR8AABAaSp4gIgPAAAoXQUNEPEBAAClrWABIj4AAICCBIj4AAAAIgoQIOIDAACol9cAER8AAEBDeQsQ8QEAAOwtLwEiPgAAgOZ0eYCIDwAAoCVdGiDiAwAAaE2XBYj4AAAA9qVLAkR8AAAAbdHpABEfAABAW3UqQMQHAADQHh0OEPEBAAC0V4cCRHwAAAAd0e4AER8AAEBHtStAxAcAANAZbQ4Q8QEAAHRWmwJEfAAAAF1hnwEiPgAAgK7SaoCIDwAAoCu1GCDiAwAA6GrNBoj4AAAA8qFJgIgPAAAgXxoFiPgAAADyKRcg4gMAAMi38gjxQbqVlZUlPQIAAF2kXHwAAACFUi4+AACAQmn2MrziAwAAyIcmASI+AACAfGkUIOIDAADIp1yAiA8AACDfyiMiPv7xj4sPAAAg77ovXLgw+vfvn/QcAABACSgXHwAAQKE0exleAACAfBAgAABAwQgQAACgYAQIAABQMAIEAAAoGAECAAAUjAABAAAKRoAAAAAFI0AAAICCESAAAEDBCBAAAKBgBAgAAFAwAgQAACgYAQIAABSMAAEAAApGgAAAAAUjQAAAgIIRIAAAQMEIEAAAoGAECAAAUDACBAAAKBgBAgAAFIwAAQAACkaAAAAABSNAAACAghEgAABAwQgQAACgYAQIAABQMAIEAAAoGAECAAAUjAABAAAKRoAAAAAF8/8D3II85NEks4sAAAAASUVORK5CYII= | Let $R$ be the shaded region bounded by the graphs of $y = \ln(x)$ and $y = x - 5$, as shown in the figure above. Write, but do not evaluate, an integral expression for the volume of the solid generated when $R$ is rotated around the $y$-axis. | $V$ = $\pi\cdot\int_b^d\left((y+5)^2-\left(e^y\right)^2\right)dy$ |
11dd8f03-d770-455c-817d-ada6446f1ef1 | differential_calc | false | null | Consider the differential equation $\frac{ d y }{d x} = \frac{ 4+y }{ x }$. Find the particular solution $y=f(x)$ to the given differential equation with the initial condition $f(3) = -3$. | $y$ = $\frac{|x|}{3}-4$ |
11e1113c-9eed-4cb1-bd73-92ec080a13df | differential_calc | true | data:image/png;base64,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 | For the following graph:
1. Determine for which values of $x=a$ the $\lim_{x \to a}\left(f(x)\right)$ exists but $f$ is not continuous at $x=a$.
2. Determine for which values of $x=a$ the function is continuous but not differentiable at $x=a$. | The limit exists but the function is not continuous at: $x=4$
The function is continuous but not differentiable at: None |
11e12386-d3f0-475a-a199-05ef0c74ca0f | algebra | false | null | Given the rational function $f(x) = \frac{ 3 \cdot x - 4 }{ x^3 - 16 \cdot x }$, find:
1. the domain (in interval notation),
2. vertical asymptotes (in the form $x=a$),
3. horizontal asymptotes (in the form $y=c$). | 1. The domain in interval notation is $(-\infty,-4)\cup(-4,0)\cup(0,4)\cup(4,\infty)$
2. Vertical asymptotes of $f(x)$: $x=4$, $x=0$, $x=-4$
3. Horizontal asymptotes of $f(x)$: $y=0$ |
12202748-6302-4b55-9526-cba280dafb55 | multivariable_calculus | false | null | Determine a definite integral that represents the region enclosed by one petal of $r = \cos(3 \cdot \theta)$. | The final answer: $\int_0^{\frac{\pi}{6}}\cos\left(3\cdot\theta\right)^2d\theta$ |
126c4165-b3d5-4470-8412-08e79d9821cf | integral_calc | false | null | Calculate the integral:
$$
\int \frac{ \sqrt[5]{x}+\sqrt[5]{x^4}+x \cdot \sqrt[5]{x} }{ x \cdot \left(1+\sqrt[5]{x^2}\right) } \, dx
$$ | $\int \frac{ \sqrt[5]{x}+\sqrt[5]{x^4}+x \cdot \sqrt[5]{x} }{ x \cdot \left(1+\sqrt[5]{x^2}\right) } \, dx$ = $C+5\cdot\arctan\left(\sqrt[5]{x}\right)+\frac{5}{4}\cdot\sqrt[5]{x}^4$ |
12b8f445-4743-4251-93f9-9904096422b2 | multivariable_calculus | false | null | A small appliances company makes toaster ovens and pizza cookers, and have noticed their customer base's purchasing habits give them the price-demand equations given below, where $p$ is the price and $x$ is the quantity of toaster ovens, $q$ is the price and $y$ is the quantity of pizza cookers. The Cost function is $C(x,y) = 800 + 10 \cdot x + 16 \cdot y$.
$p = 50 - 5 \cdot x + y$ and $q = 90 + x - 3 \cdot y$
1. Construct the 2-product Revenue function, $R(x,y)$
2. Find $R(6,10)$
3. Construct the 2-product Profit function, $P(x,y)$
4. Find $P(6,10)$ | 1. $R(x,y)$ = $R(x,y)=50\cdot x+90\cdot y+2\cdot x\cdot y-3\cdot y^2-5\cdot x^2$
2. $R(6,10)$ = $840$
3. $P(x,y)$ = $P(x,y)=40\cdot x+74\cdot y+2\cdot x\cdot y-800-3\cdot y^2-5\cdot x^2$
4. $P(6,10)$ = $-180$ |
12dcabd5-54c4-4577-8754-c8d5c69abbb0 | integral_calc | true | data:image/png;base64,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 | Find the area of the surface obtained by rotating the closed loop formed by the curves $y=x^2$ and $x=y^2$ about the x-axis. | The final answer: $\frac{1072\cdot\pi\cdot\sqrt{5}-128\cdot\pi-24\cdot\pi\cdot\ln\left(2+\sqrt{5}\right)}{768}$ |
13021374-3ba0-4635-a682-b456cc9bd8c6 | integral_calc | false | null | Compute the integral:
$$
\int_{0}^3 \frac{ 1 }{ x^2 + 2 \cdot x - 8 } \, dx
$$ | $\int_{0}^3 \frac{ 1 }{ x^2 + 2 \cdot x - 8 } \, dx$ = $\infty$ |
1304f734-bec9-42b7-a6d4-863d7557902f | sequences_series | false | null | Find the Taylor series of $f'(x)$ about $a=0$ if $f(x) = \frac{ x - \ln(1 + x) }{ x^2 }$. Use sigma notation in the final answer. | The final answer: $\sum_{k=0}^\infty\left((-1)^{k+1}\cdot\frac{(k+1)}{(k+3)}\cdot x^k\right)$ |
1343ccc0-bf47-410c-aa9c-66daab82714c | differential_calc | false | null | Find the maximum and minimum values of the function $r = 3 \cdot \sin(x) + \sin(3 \cdot x)$ in the closed interval $\left[0, \frac{ 3 }{ 2 } \cdot \pi\right]$. | Maximum Value: $2\cdot\sqrt{2}$
Minimum Value: $-2\cdot\sqrt{2}$ |
1365e400-f4a0-48b2-8a9e-aa2648d70ec5 | multivariable_calculus | false | null | Find $L=\lim_{(x,y) \to (2,3)}\left(\frac{ x^2-y^2+10 \cdot y-25 }{ x^2-y^2-10 \cdot x+25 }\right)$. | The final answer: $L=-\frac{2}{3}$ |
13af41aa-a2d3-4154-8c2f-cc9fb3ecf5ad | multivariable_calculus | false | null | Find the mass of the solid $Q=\left\{(x,y,z) | 1 \le x^2+z^2 \le 25, y \le 1-x^2-z^2 \right\}$ whose density is $\rho(x,y,z) = k$, where $k > 0$. | $m$ = $288\cdot\pi\cdot k$ |
13bd7aaa-4a81-4021-90a2-28b642c80cf7 | multivariable_calculus | false | null | Find the directional derivative using the limit definition only:
$$
f(x,y) = y^2 \cdot \cos(2 \cdot x)
$$
at point $P\left(\frac{ \pi }{ 3 },2\right)$ in the direction of $\vec{u}=\left\langle \cos\left(\frac{ \pi }{ 4 }\right),\sin\left(\frac{ \pi }{ 4 }\right) \right\rangle$. | Directional derivative: $-\frac{2+4\cdot\sqrt{3}}{\sqrt{2}}$ |
147944c5-b782-48c5-a664-d66deb92d9a7 | integral_calc | false | null | Compute the integral:
$$
\int \frac{ 4 \cdot x+\sqrt{4 \cdot x-5} }{ 5 \cdot \sqrt[4]{4 \cdot x-5}+\sqrt[4]{(4 \cdot x-5)^3} } \, dx
$$ | $\int \frac{ 4 \cdot x+\sqrt{4 \cdot x-5} }{ 5 \cdot \sqrt[4]{4 \cdot x-5}+\sqrt[4]{(4 \cdot x-5)^3} } \, dx$ = $C+25\cdot\sqrt[4]{4\cdot x-5}+\frac{1}{5}\cdot\sqrt[4]{4\cdot x-5}^5-\frac{4}{3}\cdot\sqrt[4]{4\cdot x-5}^3-\frac{125}{\sqrt{5}}\cdot\arctan\left(\frac{1}{\sqrt{5}}\cdot\sqrt[4]{4\cdot x-5}\right)$ |
14a384bf-b5f1-4423-b276-6a3e3054cae8 | algebra | false | null | A basic cellular package costs $\$30$/mo. for $60$ min of calling, with an additional charge of $\$0.4$/min beyond that time. The cost formula would be: $C = 30 + 0.4 \cdot (x - 60)$. If you have to keep your bill lower than $\$50$, what is the maximum calling minutes you can use? | Maximum calling minutes: $110$ |
14f3d6f9-4a4c-4b5c-ba5b-18578deec3e8 | multivariable_calculus | false | null | Evaluate the triple integral $\int \int \int f(x,y,z) \, dx \, dy \, dz$ over the solid $f(x,y,z) = e^{\sqrt{x^2+y^2}}$, $1 \le x^2+y^2 \le 4$, $y \le 0$, $x \le y \cdot \sqrt{3}$, $2 \le z \le 3$. | $\int \int \int f(x,y,z) \, dx \, dy \, dz$ = $\frac{\pi\cdot e^2}{6}$ |
153fb930-0922-4e19-a9e3-14b1d2b3cd2a | precalculus_review | false | null | Evaluate the definite integral. Express answer in exact form whenever possible:
$$
\int_{0}^{4 \cdot \pi} \left(\cos\left(\frac{ x }{ 2 }\right) \cdot \sin\left(\frac{ x }{ 2 }\right)\right) \, dx
$$ | $\int_{0}^{4 \cdot \pi} \left(\cos\left(\frac{ x }{ 2 }\right) \cdot \sin\left(\frac{ x }{ 2 }\right)\right) \, dx$ = $0$ |
15780608-0149-4c65-a0bd-fdae388be774 | multivariable_calculus | false | null | Find the volume of the solid that lies under the double cone $z^2 = 4 \cdot x^2 + 4 \cdot y^2$, inside the cylinder $x^2 + y^2 = x$, and above the plane $z = 0$. | The volume is $\frac{8}{9}$ |