Q. 8 Verify that f(x) = x' – 36x satisfies the hypotheses of Mean-Value Theorem on the interval |-6, 0|. Also, find all values of r in the interval that satisfy the conclusion of the theorem.

Q: Q1)The function f(x)=x(x-6)^2 satisfies both hypotheses of the Mean Value Theorem on the interval…

A: Q1)The function f(x)=x(x-6)^2satisfies both hypotheses of the Mean Value Theorem onthe interval…

Q: Consider the function f(x) = (x- 3)-2. a) Show that there is no value c in the interval (0,5) such…

A: Given that, f(x)=x-3-2       ...(1)

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x^3…

A: Given : f(x)=x3+x-3  [0,2] The mean value theorem states that for a continuous and differentiable…

Q: VI. Let f(x)=x²-x²-x+1 on [-1,2]. Find all numbers c satisfying the conclusion to the Mean value…

A: Let fx=x3-x2-x+1 on -1, 2.To find all numbers c satisfying the conclusion to the Mean value theorem.…