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6.12 Given

f(x) = -2x1.5x + 10x + 2

Use a root location technique to determine the maximum of this

function. Perform iterations until the approximate relative error

falls below 5%. If you use a bracketing method, use initial guesses

of x = 0 and x,-1. If you use the Newton-Raphson or the modi-

fied secant method, use an initial guess of x

1. If you use the

secant method, use initial guesses of x,-10 and x,- 1. Assuming

that convergence is not an issue, choose the technique that is best

suited to this problem. Justify your choice.

Fig: 1