Verify that Rolle's Theorem can be applied to the function f{:n) = m3 i 851:2 + 19$ 7 12 on the interval [1, 4]. Then nd all values of c in the interval such that f' (c) = 0. Enter the exact answers in increasing order. To enter , type sqrt{a). C I 53 C = a Show your work and explain, in your own words, how you arrived at your answers