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Some biologists decided to seed a lake with 800 trout. They estimated the carrying capacity of...
Some biologists decided to seed a lake with 1,000 trout. They estimated the carrying capacity of...
Some biologists decided to seed a lake with 1,000 trout. They estimated the carrying capacity of the lake to be 4,000 trout. By the end of year 4 they noticed that the population of trout had tripled. (i) Assuming the population follows the logistic model, calculate the relative growth rate k for an unconstrained environment. k= Number Round your answer to 3 decimal places. (ii) After how many years did the population in the lake reach 2,500 trout? Answer: Number...
(4 pts) Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal...
(4 pts) Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2000. The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation determine the constant k, and then solve the equation to find an expression for the size of the population after years. k= P(t) = (b) How long will it...
05.02. Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population...
05.02. Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 6900. The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation dP/dt=kP(1−P/K), determine the constant k, and then solve the equation to find an expression for the size of the population after t years. k=......................., P(t)=..................... (b) How long will it...
6. Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population...
6. Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 8000. The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size of the population after t years. (b) How long will it take for the population to increase to 4000?
(1 point) Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal...
(1 point) Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 5500. The number of fish doubled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation dP dt - 2P (1-1) determine the constant k, and then solve the equation to find an expression for the size of the population after t years. k= 0.7985...
Biologists stocked a lake with 300 fish and estimated the environmental carrying capacity to be 9700....
Biologists stocked a lake with 300 fish and estimated the environmental carrying capacity to be 9700. The number of fish doubled in the first year. a. Assume that the size of the fish population satisfies the logistic equation ), where t is measured in years. = KP Find an expression for the size of the population. Hint: Use partial fraction decomposition to solve for P. P = b. How long will it take for the population to increase to 4850...
4. 1-/2 Points) PRACTICE ANOTHER DETAILS SCALCCC4 7.5.010.MI. MY NOTES Biologists stocked a lake with 200...
4. 1-/2 Points) PRACTICE ANOTHER DETAILS SCALCCC4 7.5.010.MI. MY NOTES Biologists stocked a lake with 200 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 14,000. The number of fish tripled in the first year, (a) Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size of the proutation after years. PC) (D) How long will it take for the population...
You realize these results are too good to be true as time goes on. You recall from your biology class that there are a variety of factors that tend to constrain population growth, and that there is l...
You realize these results are too good to be true as time goes on. You recall from your biology class that there are a variety of factors that tend to constrain population growth, and that there is likely a carrying capacity for your lake. You look at other similar unattended lakes in the area that have had trout in them for years. The Fish and Wildlife Department estimates the trout populations of these small lakes to be about 200. You...
Hi, I'm stuck. HELP!!!!! 0/2.2 points 21. Previous Answers SCalcET8 9.4.501.XPM My Notes Ask Your Teacher...
Hi, I'm stuck. HELP!!!!!
0/2.2 points 21. Previous Answers SCalcET8 9.4.501.XPM My Notes Ask Your Teacher The population assume that the carrying capacity for world population is 140 billion. (Assume that the difference in birth and death rates is 20 million/year f the world was about 5.3 billion in 1990. Birth rates in the 1990s ranged from 35 to 40 million per year and death rates ranged from 15 to 20 million per year. Let's 0.02 billion/year.) the initial (a)...
2. [-75 Points] DETAILS SCALCCC4 7.5.007.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The population of...
2. [-75 Points] DETAILS SCALCCC4 7.5.007.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The population of the world was about 5.3 billion in 1990. Birth rates in the 1990s ranged from 35 to 40 million per year and death rates ranged from 15 to 20 million per year. Let's assume that the carrying capacity for world population is 100 billion. (Assume that the difference in birth and death rates is 20 million/year 0.02 billion/year.) (a) Write the logistic differential equation...
Some biologists decided to seed a lake with 1,000 trout. They estimated the carrying capacity of the lake to be 4,000 trout. By the end of year 4 they noticed that the population of trout had tripled. (i) Assuming the population follows the logistic model, calculate the relative growth rate k for an unconstrained environment. k= Number Round your answer to 3 decimal places. (ii) After how many years did the population in the lake reach 2,500 trout? Answer: Number...
(4 pts) Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2000. The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation determine the constant k, and then solve the equation to find an expression for the size of the population after years. k= P(t) = (b) How long will it...
6. Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 8000. The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size of the population after t years. (b) How long will it take for the population to increase to 4000?
(1 point) Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 5500. The number of fish doubled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation dP dt - 2P (1-1) determine the constant k, and then solve the equation to find an expression for the size of the population after t years. k= 0.7985...
Biologists stocked a lake with 300 fish and estimated the environmental carrying capacity to be 9700. The number of fish doubled in the first year. a. Assume that the size of the fish population satisfies the logistic equation ), where t is measured in years. = KP Find an expression for the size of the population. Hint: Use partial fraction decomposition to solve for P. P = b. How long will it take for the population to increase to 4850...
4. 1-/2 Points) PRACTICE ANOTHER DETAILS SCALCCC4 7.5.010.MI. MY NOTES Biologists stocked a lake with 200 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 14,000. The number of fish tripled in the first year, (a) Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size of the proutation after years. PC) (D) How long will it take for the population...
You realize these results are too good to be true as time goes on. You recall from your biology class that there are a variety of factors that tend to constrain population growth, and that there is likely a carrying capacity for your lake. You look at other similar unattended lakes in the area that have had trout in them for years. The Fish and Wildlife Department estimates the trout populations of these small lakes to be about 200. You...
Hi, I'm stuck. HELP!!!!!
0/2.2 points 21. Previous Answers SCalcET8 9.4.501.XPM My Notes Ask Your Teacher The population assume that the carrying capacity for world population is 140 billion. (Assume that the difference in birth and death rates is 20 million/year f the world was about 5.3 billion in 1990. Birth rates in the 1990s ranged from 35 to 40 million per year and death rates ranged from 15 to 20 million per year. Let's 0.02 billion/year.) the initial (a)...
2. [-75 Points] DETAILS SCALCCC4 7.5.007.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The population of the world was about 5.3 billion in 1990. Birth rates in the 1990s ranged from 35 to 40 million per year and death rates ranged from 15 to 20 million per year. Let's assume that the carrying capacity for world population is 100 billion. (Assume that the difference in birth and death rates is 20 million/year 0.02 billion/year.) (a) Write the logistic differential equation...
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