a. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following function centered at the given point a. c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. 1 f(x)=, a = 1; approximate a. p₁ (x) = b. P₂(x) = 1 0.91 c. Using the linear approximating polynomial to estimate, (Type an integer or a decimal.) 0.91 Using the quadratic approximating polynomial to estimate, (Type an integer or a decimal.) 1 0.91 is approximately is approximately ...

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.2: Functions
Problem 10ECP: The number S of fuel stations that sold compressed natural gas in the United States from 2009 to...
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a. Find the linear approximating polynomial for the following function centered at the given point a.
b. Find the quadratic approximating polynomial for the following function centered at the given point a.
c. Use the polynomials obtained in parts a. and b. to approximate the given quantity.
1
f(x)= =, a = 1; approximate
X
a. P₁(x) =
b. p₂(x)=
1
0.91
c. Using the linear approximating polynomial to estimate,
(Type an integer or a decimal.)
1
0.91
Using the quadratic approximating polynomial to estimate,
(Type an integer or a decimal.)
is approximately
1
0.91
is approximately
...
Transcribed Image Text:a. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following function centered at the given point a. c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. 1 f(x)= =, a = 1; approximate X a. P₁(x) = b. p₂(x)= 1 0.91 c. Using the linear approximating polynomial to estimate, (Type an integer or a decimal.) 1 0.91 Using the quadratic approximating polynomial to estimate, (Type an integer or a decimal.) is approximately 1 0.91 is approximately ...
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