Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 6, Problem 18P

Use the secant method on the circle function ( x + 1 ) 2 + ( y 2 ) 2 = 16 to find a positive real root. Set your initial guess to x i = 3  and  x i 1 = 0.5 . Approach the solution from the first and fourth quadrants. When solving for f ( x ) in the fourth quadrant, be sure to take the negative value of the square root. Why does your solution diverge?

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