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    DanaJena's Avatar
    DanaJena Posts: 2, Reputation: 2
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    #1

    Jan 2, 2009, 11:28 PM
    Rate of change
    When a rock is thrown into a calm pond, circular waves, which have the same centre, are created. Find the rate of change of the growing surface area which is enclosed by the outermost wave at time 4 seconds, given that its radius grows at 1 m/sec.
    At t seconds, let r be the radius, and let S be the surface are enclosed by the outermost wave.
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Jan 4, 2009, 11:52 AM
    The area of a circle is

    Differentiate wrt time.



    We are given that dr/dt=1

    If the radius increases 1 meter per second, then after 4 seconds it is 4 meters.

    Plug in your knowns and you're all set.
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