minatsukisaya95
  • minatsukisaya95
A balloon is being inflated by pumped air at the rate of 2 cm/s. how fast is the diameter of the balloon increasing when the radius is 1/2 cm.
Calculus1
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
could u further explain the part on "A balloon is being inflated by pumped air at the rate of 2 cm/s"? I think u can use differentiation to solve it:D
minatsukisaya95
  • minatsukisaya95
yes it use differentiation but i quite do't understand the question isn't it D=2r. when differentiate it will be dD/dt= 2dr/dt but why the question give the value of r
minatsukisaya95
  • minatsukisaya95
2 cm/s is dr/dt

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anonymous
  • anonymous
dD/dt=(dD/dr) x (dr/dt) =1 x2 =2? kind of confused with this question im assuming dD/dr= 2 x 0.5= 1
minatsukisaya95
  • minatsukisaya95
i assume D=2r so the differentiate is dD/dr=2 what i don't get is how to use the r=1/2 given
anonymous
  • anonymous
at the instance when r=1/2 the D=1cm?
minatsukisaya95
  • minatsukisaya95
how do we explain that?

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