SOLUTION: The amount of pollution in a certain lake is {{{ P(t)=((t^(1/4))+3)^3 }}} , where t is measured in years, and P is measured in parts per million (p.p.m.). At what rate is the amoun

Question 184956: The amount of pollution in a certain lake is , where t is measured in years, and P is measured in parts per million (p.p.m.). At what rate is the amount of pollution changing after 16 years?
.
The answer should be 75/32. This is a beginner's calculus question!, so it may involve derivatives!
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Here's one approach:
Expand the right side to get:
Now take the first derivative to find the rate of change of P with respect to t.
Simplify this:
Substitute t = 16.
Evaluate the right side.
Add the fractions - the LCD is 32.

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