<jupyter_start><jupyter_text>Problem 1Get a numerical value of the following expression with 10 digits.$$\frac{23}{37} + \frac{1469}{89} + \frac{83}{11}$$<jupyter_code># Do your work in this cell.<jupyter_output><empty_output><jupyter_text>Problem 2Use solve() to solve the following equation. Save the result as an object named "solutions". Print the object.$$x^2=7$$<jupyter_code># Do your work in this cell.<jupyter_output><empty_output><jupyter_text>Problem 3Assign the value given by the first member of solutions to the variable "first" and print it.<jupyter_code># Do your work in this cell.<jupyter_output><empty_output><jupyter_text>Problem 4Show the value of first with 25 digits.<jupyter_code># Do your work in this cell.<jupyter_output><empty_output><jupyter_text>Problem 5Solve the following equation for the variable a in terms of the other variables.$$ \frac{a + b}{c+d} = 2c$$<jupyter_code># Do your work in this cell.<jupyter_output><empty_output><jupyter_text>Problem 6At what value of x do the lines defined by $y=7x+1$ and y = $2.5x+5$ intersect?<jupyter_code># Do your work in this cell.<jupyter_output><empty_output><jupyter_text>Problem 7Create a readable plot of $$f(x)=\frac{x^2}{(x-2)^3}$$Set the range of x from - 3 to 3. Experiment with different values of ymin and ymax to get something you like<jupyter_code># Do your work in this cell.<jupyter_output><empty_output>
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