Suppose you are climbing a hill whose shape is given by the
equation
z = 1400 −
0.005x2 −
0.01y2,
where x, y, and z are measured in
meters, and you are standing at a point with coordinates (60, 40,
1366). The positive x-axis points east and the positive
y-axis points north.
(a) If you walk due south, will you start to ascend or
descend?
At what rate?
vertical meters per horizontal meter
(b) If you walk northwest, will...