53 -2r²+²x 53 x-10 andf'(x) = 6. 5. Given that f (x)=- 4x+ 2 6 i) Use Newton Raphson method to find the roots of the f (x) with x, = 1.5. Ans: 1.684 ii) Do you think that x = 1, x=2 and x = 3 is suitable to be as the initial value (x,) in finding the roots of the above f(x) using Newton Raphson method? Why?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
5. Given that f(x) =.
- 2x²+
6.
53
-x-10 and f '(x) =:
6.
53
-4x+
2
%3D
i) Use Newton Raphson method to find the roots of the f (x) with x, =1.5.
Ans: 1.684
ii) Do you think that x = 1, x = 2 and x = 3 is suitable to be as the initial value (x, )
in finding the roots of the above f(x) using Newton Raphson method? Why?
Transcribed Image Text:5. Given that f(x) =. - 2x²+ 6. 53 -x-10 and f '(x) =: 6. 53 -4x+ 2 %3D i) Use Newton Raphson method to find the roots of the f (x) with x, =1.5. Ans: 1.684 ii) Do you think that x = 1, x = 2 and x = 3 is suitable to be as the initial value (x, ) in finding the roots of the above f(x) using Newton Raphson method? Why?
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