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Please help me find an answer to the following answer and explain why: consider the rate of change in height of water in a vase

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Please help me find an answer to the following answer and explain why: consider the rate of change in height of water in a vase if there is a constant flow of water into it, say, from a hose. First take a look at this simple cylindrical vase. Can you produce a simple plot of the rate of change in water height in this vase as a function of time? Now, how about this more complicated vase?

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Can you produce a simple plot of the rate of change in water height in this vase as a function of time? Now, how about this more complicated vase? Lastly, how about this typical vase? Do you see anything interesting? Please discuss. Can you produce a simple plot of the rate of change in water height in this vase as a function of time? Now, how about this more complicated vase? Lastly, how about this typical vase? Do you see anything interesting? Please discuss. \fRate of Change of Vase Height Over Time 1.00 0.95 0.90 0.85 dh/dt (Rate of Change of Height) 0.80 0.75 0.70 0.65 2 4 6 8 10 Time (t)

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