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Math Help - Calculus

  1. #1
    Member CalcGeek31's Avatar
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    Calculus

    The rate of change of y is proportional to sqrt(y). if the graph of y passes through the points (0, 1) and (2, 4), find y to the nearest integer when x = 6.7.

    This one i have no idea how to start or even how to do it, please help.

    Thanks in advance.
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  2. #2
    MHF Contributor Calculus26's Avatar
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    dy/dx = Ky^(1/2) K is a constant

    dy/y^(1/2) = Kdx

    Integrate

    2y^(1/2) = Kx + C

    Use your points to find K and C --- start with (0,1) to find C

    The the other to find K
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  3. #3
    Member CalcGeek31's Avatar
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    deleted post
    Last edited by CalcGeek31; April 24th 2009 at 05:19 PM. Reason: was a dumb question
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