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Mathematics, 02.04.2020 19:13 Hruai

Water is flowing into a large spherical tank at a constant rate. Let V (t) be the volume of water in the tank at time t, and h(t) be the height of the water level at time t.

a) Give a physical interpretation of dV/dt and dh/dt.
b) Which of dV dt and dh dt is constant? Explain your answer.
c) Is dV dt positive, negative, or zero when the tank is one quarter full?
d) Is dh dt positive, negative, or zero when the tank is one quarter full?

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