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I The size P of a Certown insect population. at time t (in days) obeys the...
0.08t The size P of a certain insect population at time t (in days) obeys the...
0.08t The size P of a certain insect population at time t (in days) obeys the function P(t)- 600 e (a) Determine the number of insects at t-0 days. (b) What is the growth rate of the insect population? (c) What is the population after 10 days? (d) When will the insect population reach 960? (e) When will the insect population double?
*10. The size P of a certain insect population at time t (in days) obeys the...
*10. The size P of a certain insect population at time t (in days) obeys the function P(t) = 100 e 0.04 (a) Determine the number of insects at t=0 days. (b) What is the growth rate of the insect population? (c) What is the population after 10 days? (d) When will the insect population reach 140? (e) When will the insect population double? (a) What is the number of insects at t= 0 days? insects (b) What is the...
The size of a certain insect population at time t (in days) obeys the function P(t)...
The size of a certain insect population at time t (in days) obeys the function P(t) = 400 0.00 (a) Determine the number of insects att=0 days. (b) What is the growth rate of the insect population? (c) What is the population after 10 days? (d) When will the insect population reach 560? (e) When will the insect population double? (a) What is the number of insects att=0 days? insects Enter your answer in the answer box and then click...
A species of fish was added to a lake. The population size P(t) of this species...
A species of fish was added to a lake. The population size P(t) of this species can be modeled by the following function, where t is the number of years from the time the species was added to the lake. P(t)= 1200 -0.42t 1+ 3e Find the initial population size of the species and the population size after 9 years. Round your answers to the nearest whole number as necessary. Initial population size: fish Population size after 9 years: fish...
write a function p(t) that describes the population after t days
write a function p(t) that describes the population after t days of a colony of 1000 fire ants that doubles in population every 13 days, then how long would it take for the ant population to reach 10,000
dP [20pt] 7. Suppose that the certain population obeys the logistics equation = 0.025 - P....
dP [20pt] 7. Suppose that the certain population obeys the logistics equation = 0.025 - P. (1 - dt where C is the carrying capacity. If the initial population Po= C/3, find the time t* at which the initial population has doubled, i.e., find time tº such that P(t) = 2P = 2C/3.
A population P obeys the logistic model. It satisfies the equation dp 2 dt = 500...
A population P obeys the logistic model. It satisfies the equation dp 2 dt = 500 P(5 – P) for P >0. (a) The population is increasing when - Preview <P < 5 Preview (b) The population is decreasing when P > 5 Preview (c) Assume that P(0) = 4. Find P(40). P(40) = 1.93 * Preview
4. A rare species of aquatic insect was discovered in the Amazon rainforest. To protect the...
4. A rare species of aquatic insect was discovered in the Amazon rainforest. To protect the species, environmentalists declared the insect endangered and transplanted the insect to a protected area. The population P (in thousands )of the 50(1+0.05t) insect in t months after being transplanted is P(t) = – 2+0.010 a. [3 pts] Determine the number of months until the insect population reaches 40 thousand. b. [3 pts] What is the limiting factor on the insect population as time progresses?...
6. The size b of a bacteria population at time t (measured in hours) is given...
6. The size b of a bacteria population at time t (measured in hours) is given by b(t) = 106 + 10't - 10342. Calculate the relative growth rate when t = 5. Answer for Question 6.
18. [-15 Points] DETAILS LARCALCET7 5.7.091.MI. MY NOTES ASK YOU A population of bacteria P is...
18. [-15 Points] DETAILS LARCALCET7 5.7.091.MI. MY NOTES ASK YOU A population of bacteria P is changing at a rate based on the function given below, where t is time in days. The initial population (when t = 0) is 1100. dp dt = 3100 1 + 0.25t (a) Write an equation that gives the population at any time t. P(t) = (b) Find the population when t = 2 days. (Round your answer to the nearest whole number.) P(2)...
0.08t The size P of a certain insect population at time t (in days) obeys the function P(t)- 600 e (a) Determine the number of insects at t-0 days. (b) What is the growth rate of the insect population? (c) What is the population after 10 days? (d) When will the insect population reach 960? (e) When will the insect population double?
*10. The size P of a certain insect population at time t (in days) obeys the function P(t) = 100 e 0.04 (a) Determine the number of insects at t=0 days. (b) What is the growth rate of the insect population? (c) What is the population after 10 days? (d) When will the insect population reach 140? (e) When will the insect population double? (a) What is the number of insects at t= 0 days? insects (b) What is the...
The size of a certain insect population at time t (in days) obeys the function P(t) = 400 0.00 (a) Determine the number of insects att=0 days. (b) What is the growth rate of the insect population? (c) What is the population after 10 days? (d) When will the insect population reach 560? (e) When will the insect population double? (a) What is the number of insects att=0 days? insects Enter your answer in the answer box and then click...
A species of fish was added to a lake. The population size P(t) of this species can be modeled by the following function, where t is the number of years from the time the species was added to the lake. P(t)= 1200 -0.42t 1+ 3e Find the initial population size of the species and the population size after 9 years. Round your answers to the nearest whole number as necessary. Initial population size: fish Population size after 9 years: fish...
dP [20pt] 7. Suppose that the certain population obeys the logistics equation = 0.025 - P. (1 - dt where C is the carrying capacity. If the initial population Po= C/3, find the time t* at which the initial population has doubled, i.e., find time tº such that P(t) = 2P = 2C/3.
A population P obeys the logistic model. It satisfies the equation dp 2 dt = 500 P(5 – P) for P >0. (a) The population is increasing when - Preview <P < 5 Preview (b) The population is decreasing when P > 5 Preview (c) Assume that P(0) = 4. Find P(40). P(40) = 1.93 * Preview
4. A rare species of aquatic insect was discovered in the Amazon rainforest. To protect the species, environmentalists declared the insect endangered and transplanted the insect to a protected area. The population P (in thousands )of the 50(1+0.05t) insect in t months after being transplanted is P(t) = – 2+0.010 a. [3 pts] Determine the number of months until the insect population reaches 40 thousand. b. [3 pts] What is the limiting factor on the insect population as time progresses?...
6. The size b of a bacteria population at time t (measured in hours) is given by b(t) = 106 + 10't - 10342. Calculate the relative growth rate when t = 5. Answer for Question 6.
18. [-15 Points] DETAILS LARCALCET7 5.7.091.MI. MY NOTES ASK YOU A population of bacteria P is changing at a rate based on the function given below, where t is time in days. The initial population (when t = 0) is 1100. dp dt = 3100 1 + 0.25t (a) Write an equation that gives the population at any time t. P(t) = (b) Find the population when t = 2 days. (Round your answer to the nearest whole number.) P(2)...
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