Question: 1. Consider the function f(x, y) = x 3 - 9xy - y 3 and the region D = {(x, y) : 0 R and

1. Consider the function f(x, y) = x 3 - 9xy

1. Consider the function f(x, y) = x 3 - 9xy - y 3 and the region D = {(x, y) : 0 R and determine the nature of each of them - local maximum, local minimum or saddle point. (b) Sketch the region D. (c) Compute the integral under the surface f(x, y) over the region D

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