1. Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. f (2) = x+ x 2. Determine if the Mean Value Theorem can be applied to the following functions on the given intervals. If so, find all possible values of c. (a) f(x) = sin(2x), [0, 7] (b) g(2) =202-23, [-1, 8]