Let F(x) = sin(6t²) dt. S Find the MacLaurin polynomial of degree 7 for F(x). S Use this polynomial to estimate the value of 0.66 sin (6x²) dx.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 7E
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I
Let F(x) = sin(6t²) dt.
6²
Find the MacLaurin polynomial of degree 7 for F(x).
Use this polynomial to estimate the value of
0.66
Sº sin (6x²) dx.
0
Transcribed Image Text:I Let F(x) = sin(6t²) dt. 6² Find the MacLaurin polynomial of degree 7 for F(x). Use this polynomial to estimate the value of 0.66 Sº sin (6x²) dx. 0
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