In: Math
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.