The weight w of an astronaut (in pounds) is related to her height h above the surface of the earth (in miles) by

where w0 is the weight of the astronaut on the surface of the earth. If the astronaut weighs 130 pounds on earth and is in a rocket, being propelled upward at a speed of 12 mi/s, find the rate at which her weight is changing (in lb/s) when she is 40 miles above the earth’s surface.

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3960 w = Wo 3960 + h 2.