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)(x² – 3xy +2y²) with the positive x-asix to the east and the positive y-axis to the north.

a. If you head due east, will you initially be ascending or descending? At what angle (in degrees) from the horizontal?

b. (b) If you head due north, will you initially be ascending or descending? At what angle (in degrees) from the horizontal?