Calculus help already :-/

WHSLacrossekid

Diamond Member
Aug 19, 2001
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I don't know what to do for this problem:

What is the rate of change of the volume of a sphere with respect to the radius when the radius is r=2in?

I looked for help on the net but all I could find was derivative stuff that related to rate of change.....Any help on starting this problem?
 

hdeck

Lifer
Sep 26, 2002
14,530
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rate of change = derivative

take the derivative of the volume equation

i forget the volume of a sphere but it should be in your book somewhere. then after you take the derivate with respect to r(radius) plug in 2, and you get the rate of change at that radius.

simple :)
 

cain

Banned
Aug 1, 2003
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the volume of the sphere is 4/3piR^3 right? so take the derivative of that with respect to R, to get dV/dR=4piR^2
 

conjur

No Lifer
Jun 7, 2001
58,686
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Originally posted by: Transition
wtf is up with all these calculus questions tonight.

If I'd had teh intr4w3b when I was in school...I might have gotten a 4.0 ;)
 

hdeck

Lifer
Sep 26, 2002
14,530
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Originally posted by: Reon
the volume of the sphere is 4/3piR^3 right? so take the derivative of that with respect to R, to get dV/dR=4piR^2

then plug in 2 for r ;)
 

cain

Banned
Aug 1, 2003
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the relative rate problems are basically taking the derivative of the function wrt the thing you are changing.