calculus

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4. When the area in square units of an expanding circle is increasing twice as fast as its radius in linear units, the radius is
A. 1/4pi B.1/4 C.1/pi D. 1 E.pi

  • calculus -

    Area = πr²
    dA/dr=2πr
    dA/dt=dA/dr*dr/dt=2πrdr/dt
    So when dA/dt=2dr/dt
    2πrdr/dt=2dr/dt
    r=1/π

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