55. Temperature on a circle Let T = f(x, y) be the temperature at the point (x, y) on the circle x = cos t, y = sin t, 0 < t < 27 and suppose that Әт 8х — 4y, дх Әт 8y – 4x. ду a. Find where the maximum and minimum temperatures on the circle occur by examining the derivatives dT/ dt and d²T/dt². b. Suppose that T = 4x² – 4xy + 4y². Find the maximum and minimum values of T on the circle.

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