Answer: Numerical and Graphical Approximations (a) Use the Maclaurin polynomials and for

Chapter 9, Problem 33

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Numerical and Graphical Approximations

(a) Use the Maclaurin polynomials \(P_{1}(x), P_{3}(x), \text { and } P_{5}(x)\) for f(x) = sin x to complete the table.

(b) Use a graphing utility to graph f(x) = sin x and the Maclaurin polynomials in part (a).

(c) Describe the change in accuracy of a polynomial approximation as the distance from the point where the polynomial is centered increases.

Text Transcription:

P_1(x), P_3(x), and P_5(x)

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