Let f be a function satisfying f(0) = 0, f'(0) = 8, "(0) = 5, and | "" (x)| 12, for 0 x 1. (a) The second Taylor polynomial p(x) of about x = 1 O has the form p(x) = a + a1x+a2x with = ao a1 = a2 = (b) We approximate the function f by the second Taylor polynomial p of f about x = 0, in the interval [0, 1]. Usin Taylor's theorem with the Lagrange remainder, find the biggest a and the smallest b such that a f