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Math Help - Boyle's Law, Derivatives, and Rates of Change

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    Boyle's Law, Derivatives, and Rates of Change

    "Boyle's Law states that if the temperature of a gas remains constant, its pressure is inversely proportional to its volume. Use the derivative to show that the rate of change of the pressure is inversely proportional to the square of the volume."

    It's Greek to me. Help clarify it for me, please?
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by seuzy13 View Post
    "Boyle's Law states that if the temperature of a gas remains constant, its pressure is inversely proportional to its volume. Use the derivative to show that the rate of change of the pressure is inversely proportional to the square of the volume."

    It's Greek to me. Help clarify it for me, please?
    P = \frac{k}{V} where k is constant.

    You could take a time derivative but I don't see how that'd help
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    Quote Originally Posted by e^(i*pi) View Post
    P = \frac{k}{V} where k is constant.

    You could take a time derivative but I don't see how that'd help
    Hmm... could it possibly be that:
    <br />
p' = \frac{v(k') - v'(k)}{v^2}<br />
    Shows they are inversely proportional?
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