Solution-Question concerns newton method

Question concerns newton method

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Reference no: EM131208495

This question concerns Newton's method. It can find a precise solution of an equation, but often needs a good starting-point. The following function has three zeros.

a) Let f(x)=(23/100)x+cosx.Apply Newton's method to f(x) starting with x0=-1. Enter (x1,x2,x3), rounded to four places after the decimal ?

b) Sometimes, if the initial point is not near a solution, Newton's method is not effective. Repeat the previous question, but this time with x0=0.(Also consider graphically what is happening.) ?

c) The function has two other real roots, between 0 and 10. Find initial values x0for which Newton's method approaches each of the other two roots. Give the other two roots to four decimal places (again using round brackets)?

Reference no: EM131208495

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Question concerns newton method

Reference no: EM131208495

Reference no: EM131208495

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