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24-05-2023
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Suppose g is a function which has continuous derivatives, and that g(5) = 1,g (5) = 4,g"(5) = -2,g" (5) = 1. (a) What is the Taylor polynomial of degree 2 for g near 5? P(x) = (b) What is the Taylor polynomial of degree 3 for g near 5? P(x) = (c) Use the two polynomials that you found in parts (a) and (b) to approximate g(5.1). With P2 ≈ g(5.1) With P3 ≈ g(5.1)

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