Solved: Water is flowing at a constant rate into a spherical tank. Let be the volume of
Chapter 4, Problem 84(choose chapter or problem)
Water is flowing at a constant rate into a spherical tank. Let be the volume of water in the tank and be the height of the water in the tank at time . (a) What are the meanings of and ? Are these derivatives positive, negative, or zero? (b) Is positive, negative, or zero? Explain. (c) Let , , and be the times when the tank is one-quarter full, half full, and three-quarters full, respectively. Are the values , , and positive, negative, or zero? Why?
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