(a) Define ƒ (x) := √² -²/2 dt 0.45. √2π Using the Fundamental Theorem of Calculus, write down Newton's method applied to f.

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.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 2E
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Newton's method

[8] Computational exercise Consider the nonlinear equation for x:
S
√27
Note that t is just a 'dummy' variable of integration.
CX
1 -t²/2
dt
= 0.45.
Transcribed Image Text:[8] Computational exercise Consider the nonlinear equation for x: S √27 Note that t is just a 'dummy' variable of integration. CX 1 -t²/2 dt = 0.45.
(a) Define
1
ƒ(x) := 5₁² √ √/²2/²
S ²/² dt – 0.45.
Using the Fundamental Theorem of Calculus, write down Newton's method
applied to f.
Transcribed Image Text:(a) Define 1 ƒ(x) := 5₁² √ √/²2/² S ²/² dt – 0.45. Using the Fundamental Theorem of Calculus, write down Newton's method applied to f.
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