The temperature 7 in a metal sphere is inversely proportional to the distance from the center of the sphere where the origin is at (0, 0,0). The temperature at point (1, 2, 2) is 117°C. (a) Find the rate of change of the temperature at point (1, 2, 2) in the direction toward point (2, 1, 3). 13 √√3 (b) Determine the direction of greatest increase in temperature.
The temperature 7 in a metal sphere is inversely proportional to the distance from the center of the sphere where the origin is at (0, 0,0). The temperature at point (1, 2, 2) is 117°C. (a) Find the rate of change of the temperature at point (1, 2, 2) in the direction toward point (2, 1, 3). 13 √√3 (b) Determine the direction of greatest increase in temperature.
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Transcribed Image Text:The temperature 7 in a metal sphere is inversely proportional to the distance from the center of the sphere where the origin is at
(0, 0, 0). The temperature at point (1, 2, 2) is 117°C.
(a) Find the rate of change of the temperature at point (1, 2, 2) in the direction toward point (2, 1, 3).
-
13
√3
(b) Determine the direction of greatest increase in temperature.
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Step 1: Determine the rate of change of temperature
VIEWStep 2: Calculated the rate of change of temperature at point (1,2,2) in the direction towards point (2,1,3)
VIEWStep 3: Calculated the rate of change of temperature at point (1,2,2) in the direction towards point (2,1,3)
VIEWStep 4: Calculated the rate of change of temperature at point (1,2,2) in the direction towards point (2,1,3)
VIEWStep 5: Calculated the rate of change of temperature at point (1,2,2) in the direction towards point (2,1,3)
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