answer e) please.

Consider the function f($) = 5635111013). In this question, we will first use a linear approximation to estimate the value of f(0.2). Then, we will use a Taylor polynomial of degree three to estimate de value of f (0.2) . a) What is a good choice for the base point a, of the linear approximation and the Taylor polynomial? Answer: a : O 0 El b) Compute the derivative of f and evaluate it at :L' : 0,. Answer: f'($) = 15*9A(3*Sin(X))*COS(X) o f'(a): 15 0 c) The linear approximation L(a:) of f (3:) based at a, is: Answer: L(q:) = 5+15*X 0 d) Use the linear approximation that you have found in (c) to estimate f (0.2). Answer: f(0.2) s: 8 0 9) Compute the second and third derivatives of f