1. Consider f(:r) a 4th degree polynomial with f(0) = -3, 1WD) = 4, f"(0) = 10, fm(0) = 12, and f(4)(0) = 24. (Since f (:13) is a 4th degree polynomial, the higher derivatives are all 0.) What is a formula for f(:r)? 2. Consider the series P(:t:) = sin(:r). Find its Maclaurin series and its radius of convergence. 3. Consider 9(m) = sin(m) The goal is to approximate the values of 9(a) on the interval [3, g] with an error less that 1010. How many terms of the Maclaurin series for Haz) are needed