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19 February, 10:10

The radius r of a circle is increasing at a rate of 7 centimeters per minute. (a) find the rate of change of the area when r = 12 centimeters.

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  1. 19 February, 11:48
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    Dr / dt = 7

    A = pi r^2

    dA / dr = 2pir

    dA/dt = dA/dr * dr/dt = 2pir * 7 = 14pir

    when r = 12 rate of change of the area = 14*pi*12 = 168pi

    = 527.79 cm^2 / minute to nearest hundredth
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