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Suppose g is a function which has continuous derivatives, and that g(0) and g"" (0) = 18. What is the Taylor polnomial of degree 2 for g, centered at a = 0? T₂(x)= What is the Taylor polnomial of degree 3 for g, centered at a 0? T3(x) = Use T₂(x) to approximate g(0.2)~ Use T3(x) to approximate g(0.2)~ -2, g' (0) = 11, g" (0) = 8

Suppose g is a function which has continuous derivatives, and that g(0) and g"" (0) = 18. What is the Taylor polnomial of degree 2 for g, centered at a = 0? T₂(x)= What is the Taylor polnomial of degree 3 for g, centered at a 0? T3(x) = Use T₂(x) to approximate g(0.2)~ Use T3(x) to approximate g(0.2)~ -2, g' (0) = 11, g" (0) = 8

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 59CR
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Suppose g is a function which has continuous derivatives, and that g(0) and g"" (0) = 18. What is the Taylor polnomial of degree 2 for g, centered at a 0? T₂(x) = What is the Taylor polnomial of degree 3 for g, centered at a = 0? T3(x) = Use T₂(x) to approximate g(0.2)~ Use T3(x) to approximate g(0.2) ~ -2, g' (0) = 11, g" (0) = 8
Transcribed Image Text:Suppose g is a function which has continuous derivatives, and that g(0) and g"" (0) = 18. What is the Taylor polnomial of degree 2 for g, centered at a 0? T₂(x) = What is the Taylor polnomial of degree 3 for g, centered at a = 0? T3(x) = Use T₂(x) to approximate g(0.2)~ Use T3(x) to approximate g(0.2) ~ -2, g' (0) = 11, g" (0) = 8
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