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 c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. f(x)= 1 X a = 1; approximate a. p₁(x) = 1 + (x − 1) b. P₂(x) = −1+ (x-1) - (x − 1)² 1 0.98 c. Using the linear approximating polynomial to estimate, (Type an integer or a decimal.) - 1 0.98 is approximately ...

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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
c. Use the polynomials obtained in parts a. and b. to approximate the given quantity.
f(x) =
=
1
X
a = 1; approximate
"
a. p₁(x) = 1 + (x − 1)
b. P₂(x) = -1+ (x − 1) - (x − 1)²
1
0.98
c. Using the linear approximating polynomial to estimate,
(Type an integer or a decimal.)
1
0.98
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 c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. f(x) = = 1 X a = 1; approximate " a. p₁(x) = 1 + (x − 1) b. P₂(x) = -1+ (x − 1) - (x − 1)² 1 0.98 c. Using the linear approximating polynomial to estimate, (Type an integer or a decimal.) 1 0.98 is approximately
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