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For f(x) = x 3 −4, perform 3 iterations of Newton’s method with starting point x0 = 2. (By hand, but use a calculator.) Calculate the solution (x ∗ = 41/3 ) on a calculator and find the errors and percentage errors of x0, x1, x2 and x3. Use enough digits so that you do not falsely conclude the error is zero. Put the results in a table.

For f(x) = x 3 −4, perform 3 iterations of Newton’s method with starting point x0 = 2. (By hand, but use a calculator.) Calculate the solution (x ∗ = 41/3 ) on a calculator and find the errors and percentage errors of x0, x1, x2 and x3. Use enough digits so that you do not falsely conclude the error is zero. Put the results in a table.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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For f(x) = x

3 −4, perform 3 iterations of Newton’s method with starting point x0 = 2. (By hand, but

use a calculator.) Calculate the solution (x
∗ = 41/3
) on a calculator and find the errors and percentage
errors of x0, x1, x2 and x3. Use enough digits so that you do not falsely conclude the error is zero.
Put the results in a table.

3.2 For f(z) = -4, perform 3 iterations of Newton's method with starting point zo = 2. (By hand, but use a calculator.) Calculate the solution (r* = 4/3) on a calculator and find the errors and percentage errors of zo, z1, 12 and z3. Use enough digits so that you do not falsely conclude the error is zero. Put the results in a table.
Transcribed Image Text:3.2 For f(z) = -4, perform 3 iterations of Newton's method with starting point zo = 2. (By hand, but use a calculator.) Calculate the solution (r* = 4/3) on a calculator and find the errors and percentage errors of zo, z1, 12 and z3. Use enough digits so that you do not falsely conclude the error is zero. Put the results in a table.
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