- Ignore Part D 1 (48.53 KiB) Viewed 28 times
Ignore Part D
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answerhappygod
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Ignore Part D
Ignore Part D
Question 1: Consider the function f(x) = e-x² a) Use the definition to find the 4th degree Maclaurin polynomial for the function. b) Use the answer found in part a) to approximate f (1), ƒ (0.5), and f (0.1). Discuss and compare the accuracy, with an explanation, about these approximations. c) Use the Table of power series for elementary functions to find the Maclaurin series for the function. d) Apply Theorem 9.15 and write a conclusion, with an explanation, about the answers found in part a), b), and c).
Question 1: Consider the function f(x) = e-x² a) Use the definition to find the 4th degree Maclaurin polynomial for the function. b) Use the answer found in part a) to approximate f (1), ƒ (0.5), and f (0.1). Discuss and compare the accuracy, with an explanation, about these approximations. c) Use the Table of power series for elementary functions to find the Maclaurin series for the function. d) Apply Theorem 9.15 and write a conclusion, with an explanation, about the answers found in part a), b), and c).