mikeylaaliz8760 mikeylaaliz8760
  • 14-10-2017
  • Mathematics
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The radius r of a circle is increasing at a rate of 8 centimeters per minute. find the rate of change of the area when r = 39 centimeters

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ejelonubenedict
ejelonubenedict ejelonubenedict
  • 14-10-2017
dr/dt= 8cmM-¹
dA/dt = ?
but A= πr²
so dA/dr =2πr
but recall
dA/dt = dA/dr • dr/dt
dA/dt = 2πr • 8cmM-¹
dA/dt = 2×π×39 ×8 = 624cm²M-1
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