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

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Basic Math

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

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