We are interested in the first few Taylor Polynomials for the function f(x) = 5e + 8e-* centered at a = 0. To assist in the calculation of the Taylor linear function, T₁(x), and the Taylor quadratic function, T₂(x), we need the following values: f(0) = 1 X f'(0) -3 f"(0) = 13 Using this information, and modeling after the example in the text, what is the Taylor polynomial of degree one: T₁(x) = 13 - 3x What is the Taylor polynomial of degree two: 13 2 x² 2 T₂(x) = = 13 - 3x + OF

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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 36E
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We are interested in the first few Taylor Polynomials for the function
f(x) = 5e +8e-*
centered at a = 0.
To assist in the calculation of the Taylor linear function, T₁(x), and the Taylor quadratic function, T₂(x),
we need the following values:
f(0) =
1
X
ƒ'(0) -3
f"(0)
= 13
00
Using this information, and modeling after the example in the text, what is the Taylor polynomial of degree
one:
T₁(x) = 13 - 3x
What is the Taylor polynomial of degree two:
13 2
x²
2
T₂(x) =
= 13 - 3x +
OF
Transcribed Image Text:We are interested in the first few Taylor Polynomials for the function f(x) = 5e +8e-* centered at a = 0. To assist in the calculation of the Taylor linear function, T₁(x), and the Taylor quadratic function, T₂(x), we need the following values: f(0) = 1 X ƒ'(0) -3 f"(0) = 13 00 Using this information, and modeling after the example in the text, what is the Taylor polynomial of degree one: T₁(x) = 13 - 3x What is the Taylor polynomial of degree two: 13 2 x² 2 T₂(x) = = 13 - 3x + OF
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