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A Tank Is in the Shape of a Large, Inverted H(t)H ^ { \prime } ( t )

Question 37

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A tank is in the shape of a large, inverted (point-down) cone. Water is owing into the tank
at a constant rate. Let H (t) represent the height of the water level at time t.(a) Sketch a possible graph of H (t).(b) Describe how the rate of change of H with respect to t varies as t increases.(c) Sketch a graph of H(t)H ^ { \prime } ( t )

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(a) blured image (c) blured image ...

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