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 May 6th, 2012, 01:19 PM #1 Member   Joined: Apr 2012 Posts: 64 Thanks: 0 Please Help.. Derivatives dV/dR - dV/dt air is being pumped into a spherical weather balloon.at any time t, the volume of the balloon is v(t) and its radius is r(t). What do the derivatives dV/dr - dV/dt represent Express dV/dt in terms of dr/dt
 May 6th, 2012, 01:31 PM #2 Member   Joined: Apr 2012 Posts: 64 Thanks: 0 Re: Please Help.. Derivatives dV/dR - dV/dt My attempt at first question is: dV/dr : rate of change of volume with respect to radius dV/dt: rate of change of volume with respect to time 2nd part: Since then Am I right so far? Thanks
 May 6th, 2012, 07:13 PM #3 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: Please Help.. Derivatives dV/dR - dV/dt Yes, looks correct. For the second part, you could even use: $\frac{dV}{dt}=\frac{dV}{dr}\cdot\frac{dr}{dt}$
 May 6th, 2012, 07:53 PM #4 Member   Joined: Apr 2012 Posts: 64 Thanks: 0 Re: Please Help.. Derivatives dV/dR - dV/dt

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# Dv/dt= dr/dt * dv/dr

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