7. Suppose you are standing over the point (1,1) on a hill whose elevation above sea level (in meters) is given by f(x,y
Posted: Thu Jul 14, 2022 4:08 pm
7. Suppose you are standing over the point (1,1) on a hill whose elevation above sea level (in meters) is given by f(x,y)=10y−x2−y2. After a bit, you decide to walk to the northwest (that is, in the direction of ⟨−1,1⟩). (a) (5 pts) Will you be ascending or descending? Explain. (b) (5 pts) At what rate will you be ascending or descending? (c) (5 pts) In which direction does the hill rise most steeply?