(b. ∞ (1.) (a. Write down the Maclaurin series for f(x) = x cos(x³) based on cos(x) = Σ 29 (-1)"2n (2n)! 7=0 n dus (x²) = {(-1" (+³)² (2n)! 765 ReOX) = x 24 (2n)! = (2n)! 6n+1 करी n-d n (1) X (21)! ~ 1 - 1/ + 24 Give your answer to six decimal places. x cos (X³) 4x Use the first three terms of your series from part (a) to estimate the value of S x cos(x³)dx. Х dx + 24 = - 4 X + 4 8 24/83/0' 192 ≈ 0.755208

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please review and solve problem 1 part 'a' and 'b' and explain how the answer was found. Problem will be attached to this request.

 

 

(b.
∞
(1.) (a.
Write down the Maclaurin series for f(x) = x cos(x³) based on cos(x) = Σ
29
(-1)"2n
(2n)!
7=0
n
dus (x²) = {(-1" (+³)²
(2n)!
765
ReOX) = x 24
(2n)!
=
(2n)!
6n+1
करी
n-d
n
(1) X
(21)!
~ 1 - 1/
+
24
Give your answer to six decimal places.
x cos (X³) 4x
Use the first three terms of your series from part (a) to estimate the value of
S
x cos(x³)dx.
Х
dx
+
24
=
-
4
X
+
4
8
24/83/0'
192
≈ 0.755208
Transcribed Image Text:(b. ∞ (1.) (a. Write down the Maclaurin series for f(x) = x cos(x³) based on cos(x) = Σ 29 (-1)"2n (2n)! 7=0 n dus (x²) = {(-1" (+³)² (2n)! 765 ReOX) = x 24 (2n)! = (2n)! 6n+1 करी n-d n (1) X (21)! ~ 1 - 1/ + 24 Give your answer to six decimal places. x cos (X³) 4x Use the first three terms of your series from part (a) to estimate the value of S x cos(x³)dx. Х dx + 24 = - 4 X + 4 8 24/83/0' 192 ≈ 0.755208
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