Given f(x) = 2x 6 1.5x 4 + 10x + 2 Use a root-location technique to

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Given f(x) = −2x6 − 1.5x+ 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 modified secant method, use an initial guess of xi = 1. If you use the secant method, use initial guesses of xi − 1 = 0 and x= 1. Assuming that convergence is not an issue, choose the technique that is best suited to this problem. Justify your choice.

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