Suppose you are climbing a hill whose shape is given by the equation z = 1000 −0.005x2 −0.01y2 where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 966). The positive x−axis points east and the positive y−axis points north. Find a vector representing the direction of largest slope at point P. What is the rate of ascent in that direction? Find a vector representing the direction where there is zero slope at the point P .

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