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Thread: How to mathematically derive the rate of change?

  1. #1
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    Question How to mathematically derive the rate of change?

    Consider we are filling a tank of water with a rate of $kt$ where $k$ is a constant. The tank has a leakage with the rate of $kt^{1/2}$. How can we mathematically derive the overall rate of filling?
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  2. #2
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    Re: How to mathematically derive the rate of change?

    Water is coming in at the rate kt and going out at rate kt^{1/2}. The net rate is kt- kt^{1/2}.
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