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Mathematics, 26.02.2020 23:23 MikaB1063
Problem 3 (20 points). Part I (9 points) Find ALL local and global optimal solutions of the following minimization problems, whose objective function is denoted by f and feasible set by X (do NOT use Matlab or any other solver): (a). f(x) = sin x and X = [0, 3Ο]; (b). f(x) = sin x and X = [0, 4Ο]; (c). f(x) = sin x and X = [βΟ/4,(11/4)Ο]; (d). f(x) = max(0, x2 β 1) and X = (β[infinity], [infinity]); (e). f(x) = ( 1 x Β· sin (x), if x 6= 0 0, if x = 0; and X = [0,(2/3)Ο];
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Problem 3 (20 points). Part I (9 points) Find ALL local and global optimal solutions of the followin...
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