Suppose that the Celsius temperature at the point (x,y,z) on the 2 2 2 sphere x² + y² + z² = 9 is T = 360xyz². Locate the highest and lowest temperatures on the sphere.
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- The Goodyear blimp we usually see hovering above our heads at a football game contains 5400 m3 of helium gas. If there are 1010 kg of gas at an absolute pressure of 1.10 105 Pa in the blimp, what is the temperature of the gas? The atomic mass of helium 4.00260 g/mol.On the moon the surface temperature ranges from 359 K during the day to 0.99 ✕ 102 K at night.(a) What are these temperatures on the Celsius scale? °C to °C(b) What are these temperatures on the Fahrenheit scale? °F to °FThe 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. X
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