[See Solution] You are standing at the point where x=y=100(ft) on a hillside whose height (in ft above sea level) is given by: z = 100 + (1/100)(x 2 - 3xy
Question: You are standing at the point where x=y=100(ft) on a hillside whose height (in ft above sea level) is given by: z = 100 + (1/100)(x 2 – 3xy +2y 2 ) with the positive x-asix to the east and the positive y-axis to the north.
- If you head due east, will you initially be ascending or descending? At what angle (in degrees) from the horizontal?
- (b) If you head due north, will you initially be ascending or descending? At what angle (in degrees) from the horizontal?
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