Water is flowing at a constant rate into a spherical tank. Let Vstd be the volume of
Chapter 4, Problem 86(choose chapter or problem)
Water is flowing at a constant rate into a spherical tank. Let Vstd be the volume of water in the tank and Hstd be the height of the water in the tank at time t. (a) What are the meanings of V9std and H9std? Are these derivatives positive, negative, or zero? (b) Is V 0std positive, negative, or zero? Explain. (c) Let t1, t2, and t3 be the times when the tank is one-quarter full, half full, and three-quarters full, respectively. Are the values H0st1d, H0st2d, and H0st3d positive, negative, or zero? Why?
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