14. Determine whether Rolle's Theorem applies to the following function on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem. f(r)-sin(2x) 0,. 15. Determine whether the Mean Value Theorem applies to the following function on the given interval [a, b]. If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem. Hint: Keep your work in fractions! [13] f(x)=x+x