Does F(x)=9-x^2 satisfy the hypothesis of the mean value theorem on the interval [0,3]? if it does, then find the exact values of all Ce(0,3) that satisfy the conclusion of the Mean Value Theorem.

Answer 1

f(3) = 0
f(0) = 9

slope = (0-9)/3 = -3

f' = -2x
where is -2x = -3 ?
x = 1.5