Suppose that the temperature at a point (x,y), on a metal plate is T(x,y)=4x2−4xy+y2, An ant, walking on the plate, traverses a circle of radius 5 centered at the origin. What is the highest temperature encountered by the ant?
A particle is at rest at the origin. It moves
along the x −axis with an acceleration x−x2
, where x is the distance of the
particle at time t. The particle next comes to
rest after it has covered a distance