Please you find only one square root please explain why thankyou 40. It is easy to check that f(r) = x² – 4r has two roots. Find these two roots usingNewton's methodTn+1 = I, - f (xn)/f'(x„).(11)If you can find only one root, explain why?[Hint: First write the Newton's iteration formula, then use different initial valuesr0 = 1 and then ro = -1 to see if you can get two different roots.

Solution for initial value x=1.

It is easy to check that f(r) = x² - 4x has two roots. Find these two roots using Newton's method - f(rm)/f'(In). (11) In+1 = I, - If you can find only one root, explain why? [Hint: First write the Newton's iteration formula, then use different initial values 10=1 and then ro = -1 to see if you can get two different roots.]

It is easy to check that f(r) = x² - 4x has two roots. Find these two roots using Newton's method - f(rm)/f'(In). (11) In+1 = I, - If you can find only one root, explain why? [Hint: First write the Newton's iteration formula, then use different initial values 10=1 and then ro = -1 to see if you can get two different roots.]

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 10E

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