Section 14.4: Problem 11 (1 point) Let T = g(x, y) be the temperature at the point (x, y) on the ellipse x = 4cos(t), y= 9sin(t), 0 S t S 27:, and suppose that =6, =6. 6x y by x Find dT/dt. (IT 11! Find dZT/dtz. d2_T _ (\"2 n. Use your answers above to find the locations of (relative) maximum temperatures on the ellipse and (relative) minimum temperatures on the ellipse. Enter your answers as comma- separated lists of ordered pairs. Relative maximum temperatures occur at (x, y) = a: Relative minimum temperatures occur at (x, y) = =:: Suppose that T = 6xy 3. Find the maximum and minimum values of T on the ellipse. Maximum temperature is === Minimum temperature is