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Use Newton's method to approximate the indicated root of the equation correct to six decimal places.
The positive root of $ 3\sin x = x $
2.278863
Calculus 1 / AB
Calculus 2 / BC
Chapter 4
Applications of Differentiation
Section 8
Newton's Method
Derivatives
Differentiation
Volume
Harvey Mudd College
Baylor University
Boston College
Lectures
01:11
In mathematics, integratio…
06:55
In grammar, determiners ar…
05:39
Use Newton's method t…
00:55
01:08
01:22
00:57
03:24
01:32
05:52
01:48
02:35
In order to perform Newton's method, we need to have the derivative, which is gonna be one minus three coast Xanax. We can estimate x one to be 2.1. So initial approximation, therefore, X to repeating the process 2.1. Let us off with 2.1 over Russell F Prime of 2.1. This is 2.29 now x three. Using Newton's method again, it's gonna be 2.27 Axe four was gonna be 2.27 x five is gonna be 2.27 Therefore, axe is gonna be 2.27 a 63 with all the decimals that we can, right?
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