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. 3/2 f(x) = 8x72, a = 1; approximate 8(1.23/2) a. p,(x) =| b. P2(x) = | c. Using the linear approximating polynomial to estimate, 8(1.2°12) is approximately (Simplify your answer.) Using the quadratic approximating polynomial to estimate, 8(1.2°72) is approximately (Simplify your answer.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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.
3/2
f(x) = 8x°
a = 1; approximate 8(1.23/2)
a. p1 (x) =
b. P2 (x) =|
c. Using the linear approximating polynomial to estimate, 8(1.2°72) is approximately
(Simplify your answer.)
Using the quadratic approximating polynomial to estimate, 8 (1.2°/2) is approximately|
(Simplify your answer.)
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. 3/2 f(x) = 8x° a = 1; approximate 8(1.23/2) a. p1 (x) = b. P2 (x) =| c. Using the linear approximating polynomial to estimate, 8(1.2°72) is approximately (Simplify your answer.) Using the quadratic approximating polynomial to estimate, 8 (1.2°/2) is approximately| (Simplify your answer.)
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