( ( ( The equations ) ( ( ( for ( wave speed ) ) and ) ( for ( ( ( the frequency-wavelength-speed ) and ) ( the ( frequency-period relationships ) ) ) ) ) ) ( ( will ( be given ) ) . ) )
(ROOT (S (NP (NP (DT The) (NNS equations)) (PP (PP (IN for) (NP (NN wave) (NN speed))) (CC and) (PP (IN for) (NP (NP (DT the) (NN frequency-wavelength-speed)) (CC and) (NP (DT the) (JJ frequency-period) (NNS relationships)))))) (VP (MD will) (VP (VB be) (VP (VBN given)))) (. .)))
The equations for wave speed and for the frequency-wavelength-speed and the frequency-period relationships will be given.
(ROOT (S (NP (NP (DT The) (NN product)) (PP (IN of) (NP (NP (NP (DT a) (NN wave) (POS 's)) (NN wavelength)) (CC and) (NP (PRP$ its) (NN frequency))))) (VP (VBZ is) (NP (PRP$ its) (NN speed))) (. .)))