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The flat circular plate has the shape of the region ? 2 + ? 2 ≤...

The flat circular plate has the shape of the region ? 2 + ? 2 ≤ 4. The plate, including the boundary ? 2 + ? 2 = 4, is heated so that the temperature at the point (x, y) is: ?(?, ?) = ? 2 + ? 2 − 2? + 1. Find the temperatures at the hottest and coldest points on the plate.

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