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Consider the function /(a) = e 6 * + 3(ln2)2 e 2 - t - (In 8)^ - (ln2)3 . Use Newton's

Chapter 2, Problem 2

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QUESTION:

Consider the function /(a) = e 6 * + 3(ln2)2 e 2 - t - (In 8)^ - (ln2)3 . Use Newton's method with Po = 0 to approximate a zero of/. Generate terms until |p+i p,i\ < 0.0002. Constructthe sequence {/>}. Is the convergence improved?

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QUESTION:

Consider the function /(a) = e 6 * + 3(ln2)2 e 2 - t - (In 8)^ - (ln2)3 . Use Newton's method with Po = 0 to approximate a zero of/. Generate terms until |p+i p,i\ < 0.0002. Constructthe sequence {/>}. Is the convergence improved?

ANSWER:

Step 1 of 3

The Newton's method applied to finding the root of  for the given function  requires knowing also the derivative of .

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