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Show transcribed image text 5. Minimize the function f(x, y, z) = y +xy subject to the constraints xy = 1 and U2 +22-1. 6. Given the function f(x, y, z) = (z-1)2 + y2 + (z + 1)2: a) minimize f(x, y, z) subject to the constraint x + y+2-1 b) what is the distance between the point (1,0, -1) and the surface? 7. Find three positive integers z, y, and a such that their sum is 24, aud t function f(x, y, 2) = rye is maximum. (Lagrange multipliers is optional) and the ,
5. Minimize the function f(x, y, z) = y +xy subject to the constraints xy = 1 and U2 +22-1. 6. Given the function f(x, y, z) = (z-1)2 + y2 + (z + 1)2: a) minimize f(x, y, z) subject to the constraint x + y+2-1 b) what is the distance between the point (1,0, -1) and the surface? 7. Find three positive integers z, y, and a such that their sum is 24, aud t function f(x, y, 2) = rye is maximum. (Lagrange multipliers is optional) and the ,





