Hello,

I need help with these exercises on Rolle's Theorem and Mean-Value Theorem. Please, in order to be helpful provide an explanation.

Thank you.

C= Verify that the hypotheses of Rolle's Theorem are satisfied for f (x) = x - 8x + 7 on the interval [1, 7], and find the value of c in this interval that satisfies the conclusion of the theorem.Verify that the hypotheses of Rolle's Theorem are satisfied forf (I) = ix x on the interval [0, 16], and find the value of C in this interval that satisfies the conclusion of the theorem. R: 37: 5:1: Verify that the hypotheses of Rolle's Theorem are satisfied forf(I) =5 COS(J') on the interval [7, 3 , and find the value of C in this interval that satisfies the conclusion of the theorem. Enter the exact answer. Note that "C =" is already provided. Do not include this in your submitted response to this question. c: Verify that the hypotheses of the Mean7Value Theorem are satisfied forf (x) = x2 3x on the interval [6, 8], and find all values of C in that interval that satisfy the conclusion of the theorem. Enter your answers in increasing order. If there is only one value of c, enter NA in the second answer area. Verify that the hypotheses of the MeanValue Theorem are satisfied for f(x) = V25 x2 on the interval [5, 1], and find all values of c in this interval that satisfy the conclusion of the theorem. Enter the exact answers in increasing order. If there is only one value of C, enter NA in the second answer area. Note that "C =" is already provided. Do not include this in your submitted responses to this question. Verify that the hypotheses of the Mean-Value Theorem are satisfied for f (x) = \\x + 9 on the interval [0, 91], and find all values of c in that interval that satisfy the conclusion of the theorem. Enter the exact answers in increasing order. If there is only one value of c, enter NA in the second answer area. Note that "c =" is already provided. Do not include this in your submitted responses to this question. C = Edit ? Edit