Question: A flat circular metal plate has a shape defined by the region x 2 + y 2 1. The plate is heated so that

A flat circular metal plate has a shape defined by the region x² + y² ≤ 1. The plate is heated so that the temperature T at any point (x, y) on it is given by

Find the temperatures at the hottest and coldest points on the plate and the points where they occur.

T = x + 2y = x

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