Question: 1. Find the absolute maximum and minimum values of f(x, y) = xy -2x-y+6 on the closed triangular region R with vertices (0,0), (0,8), and

1. Find the absolute maximum and minimum values of f(x, y)

1. Find the absolute maximum and minimum values of f(x, y) = xy -2x-y+6 on the closed triangular region R with vertices (0,0), (0,8), and (4,0). Also, state the point(s) at which the absolute maximum and minimum values occur. 2. Find all points on the surface determined by xyz = 64 that are closest to the origin (give exact values). Hint: Use Lagrange multipliers

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