a) find the Maclaurin polynomialP(x), P₂x), P₂(x) & P(x) for f(x) = cos xCompletethe table...Taylor polynomial withCenter at 0).toXCos XP(x)P₂(x)Pu(x)P6 (x)6). use Desmos to graph f(x)Maclaunin polynomials in part (9).O 0.251 0-96890.500.750.8776 0-7317 0.54031= Cosx and theaccuracy.c). Describe the change inofPolynomialapproximation as the distance from the point wherethe Polynomial is centered increases.

As per Bartleby's answering policy, we can answer only one question with three parts. Since question…

a) find the Maclaurin polynomial (Taylor polynomial with P(x), P₂(X), P(x) & P(x) for f(x) = cos x to Center at 0).. Complete the table... X Cos x Po(x) P₂(x) Pu (x) P; (x) O .0.25 0.50 0.75 1. 10-9689 0.8776 0.7317 0.5403

a) find the Maclaurin polynomial (Taylor polynomial with P(x), P₂(X), P(x) & P(x) for f(x) = cos x to Center at 0).. Complete the table... X Cos x Po(x) P₂(x) Pu (x) P; (x) O .0.25 0.50 0.75 1. 10-9689 0.8776 0.7317 0.5403

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 14T

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Question

a) find the Maclaurin polynomial
P(x), P₂x), P₂(x) & P(x) for f(x) = cos x
Complete
the table...
Taylor polynomial with
Center at 0).
to
X
Cos X
P(x)
P₂(x)
Pu(x)
P6 (x)
6). use Desmos to graph f(x)
Maclaunin polynomials in part (9).
O 0.25
1 0-9689
0.50
0.75
0.8776 0-7317 0.5403
1
= Cosx and the
accuracy.
c). Describe the change in
of
Polynomial
approximation as the distance from the point where
the Polynomial is centered increases.

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Step 1: Introduction.

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Step 2: Finding Maclaurin Polynomial of order 0

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Step 3: Finding Maclaurin Polynomial of order 2

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Step 4: Finding Maclaurin polynomial of order 4

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Step 5: Finding Maclaurin polynomial of order 6

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