Ant on a metal plate. The temperature at a point ( x, y) on a metal...

Ant on a metal plate. The temperature at a point ( x, y) on a metal plate is T(x, y) = 4x² - 4xy + y² . An ant on the plate walks around the circle of radius 10 centered at the origin.

a) What are the highest and lowest temperatures encountered by the ant?

b) Suppose the ant has changed its trajectory and is walking around the circle of radius 5. Is the highest temperature encountered by the ant greater or less compared to the one in part a)?

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milcah answered 1 year ago

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