Homework Help: Math - Derivative of a polynomial function

Posted by Anonymous on Saturday, October 16, 2010 at 6:35am.

The population, p in thousands of bacteria colony can be modelled by the function p(t)=200+20t-t^2, where t is the time, in hours, t is greater than or equal to zero.

a) Determine the growth rate of the bacteria population at each of the following times.
i>3h
ii>8h

Ans: find the 1st derivative which is 20-2t, substitute the times given and it yield a negative number and that in thousands is the answer.

b)What are the implications of the growth rates in part a)

Ans: since the answer are negative they suggest that the population of the bacteria is decreasing.

c)When does the bacteria population stop growing? What is the population at this time.

Ans: set the original equation to zero it will give a time in hours and substitute that time into the first derivative.

Math - Derivative of a polynomial function - drwls, Saturday, October 16, 2010 at 6:47am
It seems to me that your question contains the answers, or at least the means of calculating them. Why just you don't just follow those directions?
Math - Derivative of a polynomial function - Anonymous, Saturday, October 16, 2010 at 9:23am
i just wanted to know if it is the correct way of going about with them, i forgot to put the (check) in the title.

Answer this Question

Related Questions

Math - Derivative of a polynomial function(check) - The red squirrel population...
Pre-Calculus - One model for the population P of bacteria in a sample after t ...
math - i have this question the population fucntion of bacteria is observed to ...
Math - Derivative of a polynomial function - A flaming arrow is shot into the ...
Math- Alg 2 - A colony of bacteria is growing exponentially according to the ...
Math - 1. A colony of bacteria grows exponentially according to the function ...
Calculus - Related Rates - Bacteria are growing in a circular colony one ...
math - Hi i need help on solving this question. The population, P(t) of a city ...
math - The population of a slow growing bacterial culture can be represented by...
Precalculus - NEED HELP ASAP PLEASE!! A bacteria culture starts with 2000 ...

For Further Reading

First Name:
School Subject:
Answer: