6. Devise a Newton algorithm for computing the fifth root of any positive real number.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. Define x = 0 and .x+1=x₂-[(tan x₂ - 1)/sec²x]. What is lim x, ?Relate this to
71-00
Newton's method.
6. Devise a Newton algorithm for computing the fifth root of any positive real number.
Xn-1
x2
7. If the secant method is used on f(x)=x²-x² +3 and if x = 0 and x = 1. what is x, ?
Transcribed Image Text:5. Define x = 0 and .x+1=x₂-[(tan x₂ - 1)/sec²x]. What is lim x, ?Relate this to 71-00 Newton's method. 6. Devise a Newton algorithm for computing the fifth root of any positive real number. Xn-1 x2 7. If the secant method is used on f(x)=x²-x² +3 and if x = 0 and x = 1. what is x, ?
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