Question: Using the initial guesses of x = -2 and x = 4, calculate the maximum value for this function. f(x) = 2x 1.75x? + 1.

Using the initial guesses of x = -2 and x = 4, calculate the maximum value for this function. f(x) = 2x 1.75x? + 1. 1x 0.25x* (a) Determine X X (b) Calculate d = (c) Calculate X X2 (d) Determine f(x) f(x2) f(x) f(x) (e) Sketch for X, X2, X , and x, and their f(x) values (f) From the sketch in (e), determine Xopt = (g) Calculate error, &, = (h) Determine x, and x, for the next iteration XI Using the initial guesses of x = -2 and x = 4, calculate the maximum value for this function. f(x) = 2x 1.75x? + 1. 1x 0.25x* (a) Determine X X (b) Calculate d = (c) Calculate X X2 (d) Determine f(x) f(x2) f(x) f(x) (e) Sketch for X, X2, X , and x, and their f(x) values (f) From the sketch in (e), determine Xopt = (g) Calculate error, &, = (h) Determine x, and x, for the next iteration XI
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