math
posted by Anonymous
The population of a slow growing bacterial culture can be represented by the function P(t)=t^20.7t+10, where t is measured in seconds.
a) Determine the populations of bacteria at 2.5 seconds.
b) Determine the average rate of change in the bacteria population over the interval from 0 to 2.5.
c) Estimate the instantaneous rate of change in the bacteria population at exactly 2.5 seconds. (use 0.1 centered interval)
Respond to this Question
Similar Questions

Math
I'm not sure how to do this question 7. The growth of bacteria in culture can be described by the equation N1 = N0e' where N is the number of bactena at any time t, No is the initial number of bacteria, and k is a constant. The time … 
Math  Derivative of a polynomial function
The population, p in thousands of bacteria colony can be modelled by the function p(t)=200+20tt^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 … 
Calculus
A particle moves along a line so that its posistion at any t is greater than or equal to 0 is given by the function s(t)= t^38t+1, where s is measured in feet and t is measured in seconds. a) find the displacement during the first … 
calculus
2. The rate of change in the number of bacteria in a culture is proportional to the number present. In a certain laboratory experiment, a culture has 10,000 bacterial initially, 20,000 bacteria at time t1 minutes, and 100,000 bacteria … 
maths plse help me..
A bacteria culture has an initial population of 600. After 4 hours the population has grown to 1200. Assuming the culture grows at a rate proportional to the size of the population, find the function representing the population size … 
math
Katrina is studying the effect of foreign substances on bacteria populations. If she introduces a beneficial substance, such as food, the bacteria population grows. If she introduces a harmful substance, such as a poison, the bacteria … 
Math
A population of bacteria growing exponentially will double in 24 hours. How long will it take for the bacterial population to triple? 
calculus
The population of a culture of bacteria, P(t), where t is time in days, is growing at a rate that is proportional to the population itself and the growth rate is 0.3. The initial population is 40. (1) What is the population after 30 … 
math
The position of a bucket falling down a well can be represented by the function h(t)=16t^{2} where t is time in seconds and h(t) is measured in feet. Based on this function, what is the velocity of the bucket after it has fallen for … 
Calculus
I need some help with this Calculus problem. A bacteria population starts with 500 bacteria and grows at a rate of r(t) = 548e^6.5t bacteria per hour. A. Determine the function P(t) which gives the population at time t. C. How long …