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Math Help - word problem with derivatives

  1. #1
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    word problem with derivatives

    A 1000 L tank loses water so that, after t days, the remaining volume is

    v(t) = 1000[1-(t/10)]^2 for 0<t<10.

    How rapidly is the water being lost when the tank is half full?

    I got the derivative fine. -200(1-(t/10))

    but then I am having troubling solving.

    if the volume is half than v(t) will equal 500, correct? because half of 1000 is 500.

    so I solve v(t) = 500 for t?

    then input this value of t into the v'(t)?

    your help is appreciated!
    Last edited by Jonroberts74; September 26th 2013 at 05:44 PM.
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  2. #2
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    Re: word problem with derivatives

    Yes that is exactly what you do
    Thanks from Jonroberts74
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