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Suppose you are climbing a hill whose shape is given by the equation z = 1000...

Suppose you are climbing a hill whose shape is given by the equation z = 1000 − 0.01x^2 − 0.02y^2 , where x, y, and z are measured in meters, and you are standing at a point with coordinates (50, 80, 847). The positive x axis points east and the positive y axis points north.

(a) If you walk northwest, will you start to ascend or descend? At what rate?

(b)In what direction is the slope largest? Why?

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