Homework Help: calculus

Posted by Nick on Saturday, March 5, 2011 at 10:42pm.

If the fish population, p, in a lake can be modelled by the function p(t)=15(t^2+30)(t+8), where t is the time, in years , from now.

How do I determine the rate of change when the population when there are 5000 fish in the lake?

calculus - bobpursley, Saturday, March 5, 2011 at 10:52pm
You take the derivative of p

expand p
p=15(t^3+240+30t+8t^2)
p'=15(3t^2+30+16t)

in the first equation,p=5000, so you have to solve for t. A little algebra is required. Then, for the real t, put that in the p' equation
calculus - Nick, Saturday, March 5, 2011 at 10:54pm
That's what I have done, I have expanded it to get the derivative, but I am having problems solving for t.

Answer this Question

Related Questions

Please Help! Quadratic Eqautions - The population of a town P(t)is modelled by ...
Please Help! Quadratic Eqautions - The population of a town P(t)is modelled by ...
Ms. Sue can you answer this please - Damon had answer, but i just want to see if...
Calculus - The population of fish in a lake before mating season is F. During ...
diffeq - Suppose a species of fish in a particular lake has a population that is...
Maths B question - population - The population P of a particular city, Metropia...
Math help plz - To determine the number of fish in a lake , a conservationist ...
physics - An airplane wants to drop a load of fish inot a small lake in the ...
Maths B - Population Growth - The population P of a particular city, Metropia, ...
Algebra - Solve. The population of a particular city is increasing at a rate ...

For Further Reading

First Name:
School Subject:
Answer: