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Thread: Relative rates of change.

  1. December 8th 2009, 10:05 AM #1
    Rumor
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    Relative rates of change.

    I'm stuck on this problem: ( u = mu, since I don't know how to do the symbol)

    "A spherical cell is growing at a constant rate of 400 um^3/day (1 um = 10^-6 m). At what rate is its radius increasing when the radius is 10 um?"

    If someone could help me set this problem up, I'd appreciate it! Thanks!
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  2. December 8th 2009, 02:56 PM #2
    Scott H
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    By the Chain Rule, we know that

    \frac{dV}{dt}=\frac{d}{dt}\left(\frac{4}{3}\pi r^3\right)=4\pi r^2\frac{dr}{dt}=400.
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