5. (3 pts) In this question, we will write a Taylor polynomial that approximates f(x) = ez-4 and get ready to use it to estimate e0.41. Follow the instructions and show all your infor- mation in a clear manner. (a) Find f'(x) and f"(x). (b) Given that f'(2) = 4 and f"(2) = 18, write the Taylor polynomial T2(x) of degree 2 for f(x) centred at a = 2. (c) What value of x should we use so that T2(x) estimates e0.41? Make sure you demon- strate how you found this x-value