Section 14.4: Problem 6 Previous Problem Problem List Next Problem Ow ow of (1 point) Assume that w = f ( 4ts2, 6s (x, y) = Tay, and of dy (x, y) = Find and 5 at Ow at asSection 14.4: Problem 7 Previous Problem Problem List Next Problem (1 point) Let w = a ey cos(9z) . Find the value of dw/dt at the point (3, In 9, 0) on the curve x = 3 cos(t) , y = In(t + 9) , z = 2t. dw dt (x,y,z)=(3, In 9,0)Section 14.4: Problem 8 (1 point) Let T : 9(1', 3;) be the temperature at the point (9:, y) on the ellipse a: : 4cos(t) , y : 55in(t), 0 S t S 2n, and suppose that E : W 0_T : 63 Ba: 6y Find dT/dt. =:: alt 7 \"' Find dZT/dtz. 7 =:: alt: ' Use your answers above to nd 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 (3:, y) : =:: Relative minimum temperatures occur at (13,31) : =:: Suppose that T : 63:3,! 7 7. Find the maximum and minimum values of T on the ellipse. Maximum temperature is =:: Minimum temperature is