A flat circular plate has the shape of the region x2 + y2≤1. The plate, including the boundary where x2 + y2 = 1, is heated such that the temperature at the point (x, y) is T (x, y) = x2 + 2y2-x. Find the temperatures in the hottest and coldest points on the board.

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17-06-2024
Mathematics

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A flat circular plate has the shape of the region x2 + y2≤1. The plate, including the boundary where x2 + y2 = 1, is heated such that the temperature at the point (x, y) is T (x, y) = x2 + 2y2-x. Find the temperatures in the hottest and coldest points on the board.

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