Hot bug

edited February 18 in Problems

A bug is crawling on the surface of a hot plate, the temperature of which at the point $x$ units to the right of the lower left corner and $y$ units up from the lower left corner is given by
$$T(x,y)=100-x^2-3y^3.$$

  1. If the bug is at the point $(2,1)$, in what direction should it move to cool off the fastest? How fast will the temperature drop in this direction?

  2. If the bug is at the point $(1,3)$, in what direction should it move in order to maintain its temperature?

Sign In or Register to comment.