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    albear's Avatar
    albear Posts: 1,594, Reputation: 222
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    #1

    Apr 28, 2007, 09:10 AM
    a-level maths integration
    the volume of liquid Vcm^3 at time t seconds satisfies

    -15dV/dt=2V-450

    given that the volume is 300cm^3 find to the nearest cm^3 the volume after 15 seconds
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Apr 28, 2007, 10:56 AM
    Work this one the same way as I showed you in the other post.
    Separate variables and use V(0)=300 to find C.
    albear's Avatar
    albear Posts: 1,594, Reputation: 222
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    #3

    Apr 29, 2007, 07:58 AM
    OK I get to
    (integrate) -15(2V-450)^-1=(integrate)dt

    (=) ? =t+c

    I'm not sure how to solve my left hand side (but am I on the right track so far)
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #4

    Apr 29, 2007, 08:28 AM
    Separate variables:





    Now, continue. Same way as other post. Let me know if you get hung up.

    Give it a earnest go first, though. :)
    albear's Avatar
    albear Posts: 1,594, Reputation: 222
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    #5

    Apr 29, 2007, 09:03 AM
    Thanks I got it now
    albear's Avatar
    albear Posts: 1,594, Reputation: 222
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    #6

    Apr 29, 2007, 09:03 AM
    Comment on galactus's post
    Thanks for the help

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