ME 218 Fall 2010 HW 3 Solutions

# ME 218 Fall 2010 HW 3 Solutions - ME 218 Fall 2010 HW 3...

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ME 218 Fall 2010 HW 3 Solutions Problem 1 Given the function ( ) ( ) ( ) we are asked to perform 3 iterations of the secant method in order to find a root. Here I will demonstrate the first step, with the given initial points. ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ( ) ) ( ( ) ) ( ) ( ) Now we employ the secant method ( ) ( ( ) ( ) ) ( ) Here is the Excel-generated table to complete the iterations n x_(n-1) x_n f(x_(n-1)) f(x_n) x_(n+1) 1 0.0000 0.5000 -1.0210 0.0204 0.4902 2 0.5000 0.4902 0.0204 0.0101 0.4805

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