Question: 1. Let f be a function with f (4) = 2, f'(4) = -1, f(4) = 6 and f(4) = 12. What is the third

 1. Let f be a function with f (4) = 2,

1. Let f be a function with f (4) = 2, f'(4) = -1, f"(4) = 6 and f""(4) = 12. What is the third degree Taylor Polynomial for f about x = 4? 2. The function f has derivatives of all orders for all real numbers with f (1) = -1, f' (1) = 4, f"(1) = 6 and f"(1) = 12. Using the third degree polynomial for f about x = 1, what is the approximation of f (1.1). a. Find the third degree Taylor polynomial b. Use the third degree Taylor Polynomial to approximate f(1.1)

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