Question: 3. (25 pts.) Consider the problem Minimize f(x1, x2) = 5x12+ 7x2 - 3x1x2 Assume that we use the gradient (steepest descent) method to

3. (25 pts.) Consider the problem Minimize f(x1, x2) = 5x12+ 7x2

3. (25 pts.) Consider the problem Minimize f(x1, x2) = 5x12+ 7x2 - 3x1x2 Assume that we use the gradient (steepest descent) method to minimize the above function f(x1,x2) starting at point Xo = (0,-2). a. Define the step function X1. b. Define the single variable step size (path) function h(ri) (do not simplify). c. If the search result (e.g.: dichotomous search) returns a value of 74 Ior uie maximum step size ri, find the new solution point X1.

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