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4 comments:
I found the derivative to V'=10000(1-t/40) which gives 8 750 L/min after 5 minutes and 2500/min after 30 which I know is incorrect. Where did I go wrong?
First of all, good recognizing that something is wrong. A big part of engineering and science is having an instinct about the answer you should expect.
There is an error in your derivative, which is why your answers are much larger than they should be. It looks like you forgot to take the derivative of (1-t/40) in the chain rule. What is the result now?
dV/dt= 10000(1-t/40) + (40-t)/1600
i cant get the ans.. what is my problem here??
Your derivative is incorrect. It looks like you have tried to use the Chain Rule (taught in the next section, page 30) but have done so incorrectly. (In particular, the "+ (40-t)/1600" is incorrect.) For this derivative, you have 2 options:
(1) simply expand the expression and take the derivative of a polynomial term by term, or
(2) leave the expression as is and apply the Chain Rule.
If you wish to use (2), then you should first familiarize yourself with the examples of the next section. If you are still having trouble, then let us know.
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