Consider the function f(a:) = 53:2 + 103: + 4 on the interval [ l, 3]. Evaluate this function at the end points of the interval. M: m: Does Rolle's Theorem apply to f on this interval? 0 Yes If Rolle's Theorem applies, find c in ( 1, 3) such that f'(c) = 0. If Rolle's Theorem does not apply, enter "DNE". 6- Let's explore the function below using the Mean Value Theorem. fl?) = (4m 12)3 There are two m-values where the slope of the tangent line to the graph equals the slope of the secant line between m = 0 and m = 9. To find them, follow the steps below. [A] First, find the slope of the secant line between a: = 0 and a: = 9. mm = l:] [B] Now, find the derivative of the function. W) = [C] Set the derivative equal to mSEC and solve. One of these values is a: = 0, what is the other? w