Question: 2 2 Start with the function: 3 = f(x,y) = x + y Define g(t) = f(xo+th, yo+th) for arbitrary h and k. 1.

2 2 Start with the function: 3 = f(x,y) = x +

2 2 Start with the function: 3 = f(x,y) = x + y Define g(t) = f(xo+th, yo+th) for arbitrary h and k. 1. Suppose (xo, yo) is a point where f(x,y) is minimized. Derive the conditions that must be satisfied for f (xo, yo) to be such a minimum. This will in volve calculating gft) 2 . Then use the first. for f(x,y) = x + y = and second derivatives of g(t) to find the optimality conditions that let you and which allow. is truly a minimum. you solve for (xo, yo) to confirm that the (co, yo)

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