Verify that the function satisfies the three hypotheses ofRolle's Theorem on the given interval. Then find all numbersc that satisfy the conclusion of Rolle's Theorem. (Enteryour answers as a comma-separated list.)
f(x) = cos(2x),    [π/8, 7π/8]
(a) Graph the function
f(x) = x +7/x
and the secant line that passes through the points (1, 8) and(14, 14.5) in the viewing rectangle [0, 16] by [0, 16].
(b) Find the number c that satisfies the conclusion of theMean Value Theorem for this function f and the interval[1, 14].
c =
