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
Algebra ->
Expressions-with-variables
-> 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
Log On
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.
(