First, construct the sixth degree Taylor polynomial P,(x) for function f(x) = sin(x?) about x, = 0. Then use Po(x)dx to approximate the integral sin(x?)dx. Use 4-digit rounding arithmetic in all calculations. What is the approximate value?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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First, construct the sixth degree Taylor polynomial Pe(x) for function f(x)= sin(x2) about x, =0.
Then use
P(x)dx to approximate the integral sin(x?)dx.
Use 4-digit rounding arithmetic in all calculations. What is the approximate value?
Transcribed Image Text:First, construct the sixth degree Taylor polynomial Pe(x) for function f(x)= sin(x2) about x, =0. Then use P(x)dx to approximate the integral sin(x?)dx. Use 4-digit rounding arithmetic in all calculations. What is the approximate value?
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