Homework Answers
Answer to question 11 is option d) dP/dt = kt^2
This is because , P is a function of t. And k is a constant term be it 1 or some other value.
Answer to question 12 is option d) There is not information to tell
This is because , putting in value of t as 0 in option b) and option c) we are able to get the value of P as 8. And , putting in value of t as 5 in option b) and option c) we are able to get the value of P as 40. Therefore , there is no information to tell
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Question 11 2 pts The population of Tribbles on the Enterprise grows at a rate that...
&7 4. A population P grows at a constant rate of a organisms per unit time, and the death rate is proportional...
&7 4. A population P grows at a constant rate of a organisms per unit time, and the death rate is proportional to the population size with the proportionality constant k. A. Assume the initial population P(0) Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The answe terms Po, a, k and a constant C.) wer must contain the...
Question Details The population of a town grows at a rate proportional to the population present...
Question Details The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 in by 10% in 10 years, what will be the population in 50 years? (Round your answer to the nearest person.) persons How fast is the population growing at t-50? (Round your answer to two decimal places.) persons/yr + Ask Yc Question Details
QUESTION 2 A population P(t) (where t is the time in years) undergoes yearly seasonal fluctuations such that the rate o...
QUESTION 2 A population P(t) (where t is the time in years) undergoes yearly seasonal fluctuations such that the rate of population growth is proportional to a fraction rP(t) of the total population, where r = cos 2rt Initially, the population is P After 3 months (1e 3/12 years), the population grows to 110% of its imitial sıze maximum value that P(t) can attain? At what tıme(s) does P(t) attan its maxımum? What is the [12]
QUESTION 2 A population...
Part B Please!! Scenario The population of fish in a fishery has a growth rate that...
Part B Please!!
Scenario The population of fish in a fishery has a growth rate that is proportional to its size when the population is small. However, the fishery has a fixed capacity and the growth rate will be negative if the population exceeds that capacity. A. Formulate a differential equation for the population of fish described in the scenario, defining all parameters and variables. 1. Explain why the differential equation models both condition in the scenario. t time a...
The rate of growth dP/dt of a population of bacteria is proportional to the square root of t with a constant coefficient of 8
The rate of growth dP/dt of a population of bacteria is proportional to the square root of t with a constant coefficient of 8, where P is the population size and t is the time in days (0≤ t ≤ 10). The initial size of the population is 200. Approximate the population after 7 days. Round the answer to the nearest integer.
Do the question completely. Especially part C thanks 4. A population P of organisms dies at a constant rate of a or...
Do the question completely. Especially part C
thanks
4. A population P of organisms dies at a constant rate of a organisms per unit time, and the growth rate is proportional to the population size with the proportionality constant k. A. Assume the initial population P(0) = Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The terms Po, a,...
please complete the whole question 4. A population P of organisms dies at a constant rate of a organisms per unit t...
please complete the whole question
4. A population P of organisms dies at a constant rate of a organisms per unit time, and the growth rate is proportional to the population size with the proportionality constant k A. Assume the initial population P(0) = Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The answer must contain the terms Po,...
2. The growth rate of a population of bacteria is directly proportional to the population p()...
2. The growth rate of a population of bacteria is directly proportional to the population p() (measured in millions) at time t (measured in hours). (a) Model this situation using a differential equation. (b) Find the general solution to the differential equation (c) If the number of bacteria in the culture grew from p(0) = 200 to p(24) = 800 in 24 hours, what was the population after the first 12 hours?
Suppose that a population of hacteria grows according to the logistic differential equation dP =0.01P-0.0002P2 dt...
Suppose that a population of hacteria grows according to the logistic differential equation dP =0.01P-0.0002P2 dt where Pis the population measured in thousands and t is time measured in days. Logistic growth differential equations are often quite difficult to solve. Instead, you will analyze its direction field to acquire infom ation about the solutions to this differential equation. a) Calculate the maximum population M that the sumounding environment can austain. (Note this is also calked the "canying capacity"). Hint: Rewrite...
(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 ?
&7 4. A population P grows at a constant rate of a organisms per unit time, and the death rate is proportional to the population size with the proportionality constant k. A. Assume the initial population P(0) Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The answe terms Po, a, k and a constant C.) wer must contain the...
Question Details The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 in by 10% in 10 years, what will be the population in 50 years? (Round your answer to the nearest person.) persons How fast is the population growing at t-50? (Round your answer to two decimal places.) persons/yr + Ask Yc Question Details
QUESTION 2 A population P(t) (where t is the time in years) undergoes yearly seasonal fluctuations such that the rate of population growth is proportional to a fraction rP(t) of the total population, where r = cos 2rt Initially, the population is P After 3 months (1e 3/12 years), the population grows to 110% of its imitial sıze maximum value that P(t) can attain? At what tıme(s) does P(t) attan its maxımum? What is the [12]
QUESTION 2 A population...
Part B Please!!
Scenario The population of fish in a fishery has a growth rate that is proportional to its size when the population is small. However, the fishery has a fixed capacity and the growth rate will be negative if the population exceeds that capacity. A. Formulate a differential equation for the population of fish described in the scenario, defining all parameters and variables. 1. Explain why the differential equation models both condition in the scenario. t time a...
Do the question completely. Especially part C
thanks
4. A population P of organisms dies at a constant rate of a organisms per unit time, and the growth rate is proportional to the population size with the proportionality constant k. A. Assume the initial population P(0) = Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The terms Po, a,...
please complete the whole question
4. A population P of organisms dies at a constant rate of a organisms per unit time, and the growth rate is proportional to the population size with the proportionality constant k A. Assume the initial population P(0) = Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The answer must contain the terms Po,...
2. The growth rate of a population of bacteria is directly proportional to the population p() (measured in millions) at time t (measured in hours). (a) Model this situation using a differential equation. (b) Find the general solution to the differential equation (c) If the number of bacteria in the culture grew from p(0) = 200 to p(24) = 800 in 24 hours, what was the population after the first 12 hours?
Suppose that a population of hacteria grows according to the logistic differential equation dP =0.01P-0.0002P2 dt where Pis the population measured in thousands and t is time measured in days. Logistic growth differential equations are often quite difficult to solve. Instead, you will analyze its direction field to acquire infom ation about the solutions to this differential equation. a) Calculate the maximum population M that the sumounding environment can austain. (Note this is also calked the "canying capacity"). Hint: Rewrite...
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