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Does the surface slope up or down

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Reference no: EM131614187

Question: (a) The surface S is given, for some constant a, by

z = 3x2 + 4y2 - axy

Find the values of a which ensure that S is sloping upward when we move in the positive x-direction from the point (1, 2).

(b) With the values of a from part (a), if you move in the positive y-direction from the point (1, 2), does the surface slope up or down? Explain.

Reference no: EM131614187

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