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A circular plate of radius 4 is heated. The temperature at point (x, y) on the plate is given by ...

Question

A circular plate of radius 4 is heated. The temperature at point (x, y) on the plate is given by ...

A circular plate of radius 4 is heated. The temperature at point (x, y) on the plate is given by f(x, y) = 2x 2 + 3y 2 − 4x + 5. Assume (0,0) is the center of the plate.

(a) Find the hottest and coolest points on the edge of the plate.

(b) Is there a point inside the disc that is hotter? Is there a point that’s cooler?

Answers

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