Let r(t) be a differentiable function that is positive and increasing. The rate of increase of r^3 is equal to 12 times the rate of increase of r when r(t)=

How would I go about setting this up to solve it? thanks for the help.

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- October 8th 2007, 03:28 PMjst706[SOLVED] rate question
Let r(t) be a differentiable function that is positive and increasing. The rate of increase of r^3 is equal to 12 times the rate of increase of r when r(t)=

How would I go about setting this up to solve it? thanks for the help. - October 8th 2007, 03:47 PMJhevon
- October 8th 2007, 03:54 PMjst706
that is all the question says. It is a multiple choice question if that would help? The five choices are :

the cube root of 4

two

the cube root of 12

two times the square root of 3

six

The answer key says the answer is two, I guess taking the derivative of each and setting equal works since 3r^2=12 , thus r=2 thanks for the help - October 8th 2007, 03:58 PMJhevon