We estimate integrals using Taylor polynomials Exercise 72 is used to estimate the error Let T 4 be the fourth Maclaurin polynomial for (x) cos x (a) Show that T 4 (x) T 5 (x) Data From Exercise 72 Let L 0 Show that if two functions and g satisfy (x) g(x) cos x T4(x) 12 6 0,1 1 for all x 0, xe...

a Let fx cosx Then Moreover with a 0 T4x T5x and b T4x 1 12 STR Note that where K is a number ...

We estimate integrals using Taylor polynomials. Exercise 72 is used to estimate the error. Let T 4

Question:

We estimate integrals using Taylor polynomials. Exercise 72 is used to estimate the error.

Let T₄be the fourth Maclaurin polynomial for ƒ(x) = cos x.
(a) Show that

| cos x - T4(x)| 12 6! [0,1/1 for all x 0, xe

T₄(x) = T₅(x).

1/2 (b) Evaluate size of the error. T4(x) dx as an approximation to 1/2 cos xdx. Use Exercise 72 to find a

Data From Exercise 72

Let L > 0. Show that if two functions ƒ and g satisfy |ƒ(x) − g(x)|

L'o f(x) dx - * 8(x) dx/dx < L(b-a

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 19, 2023 08:04 AM

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We estimate integrals using Taylor polynomials. Exercise 72 is used to estimate the error. Let T 4

Question:

| cos x - T4(x)| ≤ −12 6! € [0,1/1 for all x 0, xe

Step by Step Answer:

a Let fx cosx Then Moreover with a 0 T4x T5x and b T4x 1 12 STR Note that where K is a number ...View the full answer

Calculus

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