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BrittneyMarie

  • 3 years ago

When you cough, your windpipe contracts. The speed, v, with which air comes out depends on the radius, r, of your windpipe. If R is the normal (at rest) radius of your windpipe, then for r<_(less than or equal to)R, the speed is given by: v=a(R-r)r^(2), where a is positive constant. What value of r maximizes the speed?

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  1. ganeshie8
    • 3 years ago
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    calculus ?

  2. Dido525
    • 3 years ago
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    I assume so. Optimization it seems.

  3. BrittneyMarie
    • 3 years ago
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    yes its calculus this section in the class was over linear approximations and differentials

  4. jit4won
    • 3 years ago
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    Differentiate the given function equate your answer with zero ..solve the equation

  5. Dido525
    • 3 years ago
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    ^.

  6. BrittneyMarie
    • 3 years ago
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    thanks

  7. jit4won
    • 3 years ago
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    you're welcome

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