a. Find the linéär approximating polynómial following čentéréd 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. 0.6 f(x) = e*, a = 0; approximate e

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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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.
f(x) = e*, a = 0; approximate e 0.6
...
a. P,(x) =
b. p2(x) =
0.6
c. Using the linear approximating polynomial to estimate, e
(Simplify your answer.)
is approximately
Using the quadratic approximating polynomial to estimate, e 0.6
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. f(x) = e*, a = 0; approximate e 0.6 ... a. P,(x) = b. p2(x) = 0.6 c. Using the linear approximating polynomial to estimate, e (Simplify your answer.) is approximately Using the quadratic approximating polynomial to estimate, e 0.6 is approximately (Simplify your answer.)
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