12. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCCC4 11.6.029. The temperature T in a metal ball is inversely proportional

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12 0 1 Points Details Previous Answers Scalccc4 11 6 029 The Temperature T In A Metal Ball Is Inversely Proportional 1 (13.45 KiB) Viewed 73 times

12. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCCC4 11.6.029. The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (4, 2, 4) is 100. (a) Find the rate of change of T, DT, at (4, 2, 4) in the direction toward the point (7, 6, 8). D7(4, 2, 4)- MY H (b) Show that at any in the ball the direction of greatest increase in temperature is given by a vector that points towards the origin, (Do this on paper. Your instructor may ask you to turn this work.)