Question 1: Verify that Rolle's Theorem can be applied to the function f(x)=(x^3)-(11x^2)+38x-40 on the interval [2,5]. Then find all values of c in the interval such that f'(c)=0. Enter the exact answers in increasing order.

Question 2: Consider the function f(x)=x+15x^(2/3). Give the intervals of increase and decrease of f(x). Give the local maximum and minimum values of f(x).

(c) Give the intervals of increase and decrease of f (). Note: Use the letter U for union. To enter oo, type infinity with a lower case |i. If the function is never increasing or decreasing, enter NA in the associated response area. increasing; (-1000,infinity) decreasing: | (-infinity, -1000) (d) Give the local maximum and minimum values of f (). Enter your answers in increasing order of the z-value. If there are less than two local extrema, enter NA in the remaining response areas and the corresponding drop-down menu. Include a multiplication sign between symbols. For example, a - . is a local mini... O