Assignment:
You are standing at the point P = (100, 100) on the side of a mountain whose height is given by
h = 1/1000 (3x2 - 5xy + y2)
with the x-axis pointing east rind the y-axis pointing north.
(a) In what direction should you proceed in order to clamp the most steeply? At what angle from horizontal will you be climbing? Also. what is the direction of steepest decent?
(b) II you head east. will you be ascending or descending? At what angle (in degrees) from horizontal?
(c) II you head 30° north of east will you be ascending or descending? At what angle?
Provide complete and step by step solution for the question and show calculations and use formulas.