question archive Consider Rolle's Theorem and the closed interval [0,4]
Consider Rolle's Theorem and the closed interval [0,4]
Subject:MathPrice: Bought3
Consider Rolle's Theorem and the closed interval [0,4].
(a) Find the value of c prescribed in the theorem when f(x)=x3-16x.
(b) Does the theorem apply to the function g(x)=(x2−4x)/(x−2)? Explain.
-Determine all the number(s) c which satisfy the conclusion of the Mean Value Theorem for the following given functions and intervals.
(a) f(x)=x3 on [0,6].
(b) f(x)=x3−x2+x+8 on [−3,4].
