1. The problem statement, all variables and given/known data Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.) f(x) = cos 5x, [π/20, 7π/20] 2. Relevant equations Rolles Theorem states: Let f be a function that satisfies the following three hypotheses: 1. f is continuous on the closed interval [a,b] 2. f is differentiable on the open interval (a,b) 3. f(a)=f(b) Then there is a number c in (a,b) such that f'(c)=0 3. The attempt at a solution 1. F is continuous on the closed interval because there is no where on the interval that f(x) is undefined. 2. f is differentiable on the open interval because it is continuous on the closed interval 3. This is where I get confused, these are not a part of the unit circle, do I just plug them in to the calculator to determine that f(a)=f(b)? Then, to find C I must first find the derivative- f(x)=cos5x f'(x)=-5sin5x then I set this equal to 0 to find c 0=-5sin5x so f'(x)= 0 when x is 0, when the sin5x=0. I don't even know how to go about finding this with numbers that are not on the unit circle.