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The temperature T in a metal ball is inversely proportional to the distance from the center...

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Basic Math

The temperature T in a metal ball is inversely proportional tothe distance from the center of the ball, which we take to be theorigin. The temperature at the point (1, 2, 2) is 120 degrees F.

a) Find the rate of change of T at (1, 1,2) in the directiontowards the point (2, 1,3).

b) Show that at any point in the ball the direction of greatestincrease in the temperature is given by a vector that points towardthe origin.

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