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On a certain mountain, the elevation z above a point (x,y) in an xy-plane at sea level is z = 2000 −0.02x2−0.04y2, where x, y, and z are in meters. The positive x-axis points east, and the positive y-axis north. Stephie is at the point (20,5,1991). (a) If Stephie uses a compass reading to walk northeast, will she ascend or descend? At what rate?

W
NW
www
WSW
SW
NNW
SSW
N
S
NNE
SSE
NE
ENE
ESE
SE
E
Figure 1: Compass Directions

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