Consider the function f(:1:) : $2 42: + 3 on the interval [0, 4]. (a) What conditions must hold true in order to apply Rolle's Theorem? f(:1:) is ? v on [0,4]; x) is ? v on (0,4); and M) = M) = (b) Since part (a) holds true for at), by Rolle's theorem, there exists a c such that: 1%) = (c) Find c