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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: 520 Math Focus: Calculus/ODEs  Re: Please Help.. Derivatives dV/dR  dV/dt
Yes, looks correct. For the second part, you could even use: 
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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