Homework Answers
I have used the standard definition of
Relative growth rate. Hope this is fine. Simply growth rate will be
d(b)/dt. In this case both are zero for t=5.
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6. The size b of a bacteria population at time t (measured in hours) is given...
A population of bacteria doubles every 5 hours. If the initial size of the population is...
A population of bacteria doubles every 5 hours. If the initial size of the population is 1 (measured in millions). (a) Find the formula for the population P (t) after t hours. (b) What is the population after 15 hours? (c) When will the population reach 10 (measured in millions)?
The number of bacteria in a culture is given by the function n(t) 900e.5t where t...
The number of bacteria in a culture is given by the function n(t) 900e.5t where t is measured in hours. (a) What is the relative rate of growth of this bacterium population? (b) What is the initial population of the culture? (c) How many bacteria will the culture contain at time t-5 hours? License Points possible: 1 Unlimited attempts
The growth rate at t = 0 hours is bacteria per hour. When a bactericide is...
The growth rate at t = 0 hours is bacteria per hour. When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium population continues to grow for a while, but then stops growing and begins to decline. The size of the population at time t (hours) is b = 65 +63t - 6242. Find the growth rates at t = 0 hours, t = 3 hours, and t = 6 hours. The growth rate...
(1 point) A bacteria culture starts with 240 bacteria and grows at a rate proportional to its size. After 5 hours there will be 1200 bacteria. (a) Express the population after t hours as a function of t. population: (function of t) (b) What will be th
(1 point) A bacteria culture starts with 240240 bacteria and grows at a rate proportional to its size. After 55 hours there will be 12001200 bacteria.(a) Express the population after tt hours as a function of tt.population: (function of t)(b) What will be the population after 99 hours?(c) How long will it take for the population to reach 22702270 ?
37. A population of bacteria is growing according to the law (t)=0.01e' +8t+200, where tis measured...
37. A population of bacteria is growing according to the law (t)=0.01e' +8t+200, where tis measured in hours. How many bacteria are present at t = 10 hours? What is the rate of change of the population with respect to time when t = 10 hours?
11. The population of a culture of bacteria at time t (in hours) is given by...
11. The population of a culture of bacteria at time t (in hours) is given by the following equation: P(t) 10e Find the doubling time.
The number of bacteria in a culture is given by the function n(t) = 960e. where...
The number of bacteria in a culture is given by the function n(t) = 960e. where t is measured in hours. (a) What is the exponential rate of growth of this bacterium population? Your answer is (b) What is the initial population of the culture (at t=0)? Your answer is (c) How many bacteria will the culture contain at time t-4? Your answer is
6. A bacteria culture grows at a rate proportional to its size. The initial population of...
6. A bacteria culture grows at a rate proportional to its size. The initial population of the bacteria culture is 300 cells, and after 3 hours the population increases to 2400. (a) Find an expression for the number of bacteria after t hours. (b) When will the population reach 20000?
3. (17 points) The growth in a population of bacteria follows a logistic growth model given...
3. (17 points) The growth in a population of bacteria follows a logistic growth model given by the differential equation dP 0.05P - 0.00001p? dt with units of number of bacteria and hours. (a) (3 points) What is the carrying capacity of this population? (b) (9 points) Given an initial population of 1000 bacteria, how long will it take for the population to double? (c) (5 points) What is the rate of change (per hour) in the size of the...
This exercise uses the population growth model. The count in a culture of bacteria was 400...
This exercise uses the population growth model. The count in a culture of bacteria was 400 after 2 hours and 25,600 after 6 hours. (a) What is the relative rate of growth of the bacteria population? Express your answer as a percentage. (Round your answer to the nearest whole number.) 104 % (b) What was the initial size of the culture? (Round your answer to the nearest whole number.) 200 x bacteria (c) Find a function that models the number...
A population of bacteria doubles every 5 hours. If the initial size of the population is 1 (measured in millions). (a) Find the formula for the population P (t) after t hours. (b) What is the population after 15 hours? (c) When will the population reach 10 (measured in millions)?
The number of bacteria in a culture is given by the function n(t) 900e.5t where t is measured in hours. (a) What is the relative rate of growth of this bacterium population? (b) What is the initial population of the culture? (c) How many bacteria will the culture contain at time t-5 hours? License Points possible: 1 Unlimited attempts
The growth rate at t = 0 hours is bacteria per hour. When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium population continues to grow for a while, but then stops growing and begins to decline. The size of the population at time t (hours) is b = 65 +63t - 6242. Find the growth rates at t = 0 hours, t = 3 hours, and t = 6 hours. The growth rate...
37. A population of bacteria is growing according to the law (t)=0.01e' +8t+200, where tis measured in hours. How many bacteria are present at t = 10 hours? What is the rate of change of the population with respect to time when t = 10 hours?
11. The population of a culture of bacteria at time t (in hours) is given by the following equation: P(t) 10e Find the doubling time.
The number of bacteria in a culture is given by the function n(t) = 960e. where t is measured in hours. (a) What is the exponential rate of growth of this bacterium population? Your answer is (b) What is the initial population of the culture (at t=0)? Your answer is (c) How many bacteria will the culture contain at time t-4? Your answer is
6. A bacteria culture grows at a rate proportional to its size. The initial population of the bacteria culture is 300 cells, and after 3 hours the population increases to 2400. (a) Find an expression for the number of bacteria after t hours. (b) When will the population reach 20000?
3. (17 points) The growth in a population of bacteria follows a logistic growth model given by the differential equation dP 0.05P - 0.00001p? dt with units of number of bacteria and hours. (a) (3 points) What is the carrying capacity of this population? (b) (9 points) Given an initial population of 1000 bacteria, how long will it take for the population to double? (c) (5 points) What is the rate of change (per hour) in the size of the...
This exercise uses the population growth model. The count in a culture of bacteria was 400 after 2 hours and 25,600 after 6 hours. (a) What is the relative rate of growth of the bacteria population? Express your answer as a percentage. (Round your answer to the nearest whole number.) 104 % (b) What was the initial size of the culture? (Round your answer to the nearest whole number.) 200 x bacteria (c) Find a function that models the number...
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