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 ...

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 50E
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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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