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# HW6 - MAE 9 Homework#6 Fall 2006 Due on Thursday November...

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/* MAE 9: Homework #6, Fall 2006 Due on Thursday, November 2nd, before 9:00 pm Print a blank (empty) line, a line with the message:"Homework 6:", and a blank line. In order to find roots for f(x) = x*x*x - x*x- 9.0*x + 8.9 in the interval -1.0 <= x <= 5.0, create a table for x and f(x) from x=-1.0 to x=5.0 with an increment of del_x=0.25. Mark the intervals with 'Y' where f(x) changes sign. In the table, use %8.2f and %12.4f for printing values of x and f(x). In each interval where f(x) changes sign, use the mid-point value of x as an initial guess x0 for the Newton-Raphson method, obtain refined roots and print each root with %-12.6e. Use double Newton_Raphson(double x0) that gives a refined root for an initial guess of x0. (You are not allowed to modify double Newton_Raphson().) You need to write the following functions: double func1(double x) for f(x) = x*x*x - x*x- 9.0*x + 8.9; double func1_d(double x) for f'(x) = 3.0*x*x - 2.0*x - 9.0; ....................................................................... Your output for the quiz should look like this:

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HW6 - MAE 9 Homework#6 Fall 2006 Due on Thursday November...

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