Exercise 3: Consider the function: 17 f(x) = x4 - 2r2 16 Prove that it has a positive root, and a negative root. Show that the Newton-Rhapson method with an initial guess of xo = 1/2 fails to converge...

Exercise 3: Consider the function:<br>17<br>f(x) = x4 - 2r2<br>16<br>Prove that it has a positive root, and a negative root. Show that the Newton-Rhapson method with<br>an initial guess of xo = 1/2 fails to converge to the positive root. Choose a different initial guess, and<br>estimtae the positive root to four decimal places.<br>

Extracted text: Exercise 3: Consider the function: 17 f(x) = x4 - 2r2 16 Prove that it has a positive root, and a negative root. Show that the Newton-Rhapson method with an initial guess of xo = 1/2 fails to converge to the positive root. Choose a different initial guess, and estimtae the positive root to four decimal places.

Jun 05, 2022

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Exercise 3: Consider the function: 17 f(x) = x4 - 2r2 16 Prove that it has a positive root, and a negative root. Show that the Newton-Rhapson method with an initial guess of xo = 1/2 fails to converge...

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