Suppose g is a function which has continuous derivatives, and that g(2) = -2, g (2) = -4, g'(2) = 2, g"(2) = 3. (a) What is the Taylor polynomial of degree 2 for g near 2? P2(x) = (b) What is the Taylor polynomial of degree 3 for g near 2? P3(x) = (c) Use the two polynomials that you found in parts (a) and (b) to approximate g(1.9). With P2, g(1.9) = With P3, g(1.9)=

Suppose g is a function which has continuous derivatives, and that g(2) = -2, g (2) = -4, g'(2) = 2, g"(2) = 3. (a) What is the Taylor polynomial of degree 2 for g near 2? P2(x) = (b) What is the Taylor polynomial of degree 3 for g near 2? P3(x) = (c) Use the two polynomials that you found in parts (a) and (b) to approximate g(1.9). With P2, g(1.9) = With P3, g(1.9)=

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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