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A species of fish was added to a lake. The population size P(t) of this species...
of this species can be modeled by the following function, where is the number of years...
of this species can be modeled by the following function, where is the number of years A species of fish was added to a lake. The population size P time the species was added to the lake. 2000 PC- 1+7-021 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 x 5 ? Let o...
A small lake is stocked with a certain species of fish. The fish population is modeled...
A small lake is stocked with a certain species of fish. The fish population is modeled by the function P = 12 1 + 4e−0.4t where P is the number of fish in thousands and t is measured in years since the lake was stocked. (a) Find the fish population after 4 years. (Round your answer to the nearest whole fish.) fish (b) After how many years will the fish population reach 6000 fish? (Round your answer to two decimal...
A small take is stocked with a certain species of fish. The fish population is modeled...
A small take is stocked with a certain species of fish. The fish population is modeled by the function P- 14 1+ 4e -0.80 where P is the number of fish in thousands and t is measured in years since the lake was stocked. (6) Find the fish population after 3 years. (Round your answer to the nearest whole fish) fish (1) After how many years will the fish population reach 7000 fish? (Round your answer to two decimal places.)...
A species of animal is discovered on an island. Suppose that the population size P(1) of...
A species of animal is discovered on an island. Suppose that the population size P(1) of the species can be modeled by the following function, where timer is measured in years. 280 -0.29 1+6e Find the initial population size of the species and the population size after 8 years. Round your answers to the nearest whole number as necessary. Initial population size: individuals Population size after 8 years: individuals X ? Save For Later SA 18 AW
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...
The population of fish, P, in a lake is a function of time, t, measured in years. The rate of cha...
The population of fish, P, in a lake is a function of time, t, measured in years. The rate of change of P is given by 7600e0.4t fish/year. dt(19 + e0.4t)2 dp dt a. Graph on the domain [0, 20]. Make sure your graph is properly labeled. b. Estimate the change in population on the time interval 0 s t š 20 years. Use 10 intervals, each lasting two years. Use rate of change data from the left side of...
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?
Suppose that the population of a species of fish (in thousands) is modeled by f(?) =...
Suppose that the population of a species of fish (in thousands) is modeled by f(?) = x+10/0.5x2+1, where x ≥ 0 is in years. a. Sketch a graph of the function on the interval [0,12] x [0,12]. Label and scale your axes. b. What is the horizontal asymptote? c. What is the significance of the horizontal asymptote? d. What is the initial population of fish? e. What is the population of fish after 5 years? f. When is the population...
(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...
(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...
of this species can be modeled by the following function, where is the number of years A species of fish was added to a lake. The population size P time the species was added to the lake. 2000 PC- 1+7-021 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 x 5 ? Let o...
A small take is stocked with a certain species of fish. The fish population is modeled by the function P- 14 1+ 4e -0.80 where P is the number of fish in thousands and t is measured in years since the lake was stocked. (6) Find the fish population after 3 years. (Round your answer to the nearest whole fish) fish (1) After how many years will the fish population reach 7000 fish? (Round your answer to two decimal places.)...
A species of animal is discovered on an island. Suppose that the population size P(1) of the species can be modeled by the following function, where timer is measured in years. 280 -0.29 1+6e Find the initial population size of the species and the population size after 8 years. Round your answers to the nearest whole number as necessary. Initial population size: individuals Population size after 8 years: individuals X ? Save For Later SA 18 AW
The population of fish, P, in a lake is a function of time, t, measured in years. The rate of change of P is given by 7600e0.4t fish/year. dt(19 + e0.4t)2 dp dt a. Graph on the domain [0, 20]. Make sure your graph is properly labeled. b. Estimate the change in population on the time interval 0 s t š 20 years. Use 10 intervals, each lasting two years. Use rate of change data from the left side of...
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?
(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...
(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...
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