1
answer
0
watching
311
views
13 Nov 2019
I just need help with D. I am stuck
The fish population in a pond with carrying capacity 1200 is modeled by the following logistic equation where N(t) denotes the number of fish at time t in years. dN d1200 (1200 N) N (1200-N) Starting at the time at which the number of fish reached 400, the owner of the pond removed (harvested) fish at a constant rate of 100 fish per year, we take t = 0 to be the time at which the owner started to harvest fish from the pond. (a) Modify the differential equation to model the population of fish from the time it reached 400 .4 dt 1200 (b) Sketch several solutions of the new equation, including the solution curve with NCO) 400. (This will not be graded.) (c) Is the practice of catching 100 fish per year sustainable or will it totally deplete the fish population in the pond? (You will have only one submission for this answer. Use your submission wisely!) O Yes, it is sustainable. No, it is unsustainable. (d) How far below the original carrying capacity will the number of fish be in the long run? (Give your answer correct to the nearest whole fish.)
I just need help with D. I am stuck
The fish population in a pond with carrying capacity 1200 is modeled by the following logistic equation where N(t) denotes the number of fish at time t in years. dN d1200 (1200 N) N (1200-N) Starting at the time at which the number of fish reached 400, the owner of the pond removed (harvested) fish at a constant rate of 100 fish per year, we take t = 0 to be the time at which the owner started to harvest fish from the pond. (a) Modify the differential equation to model the population of fish from the time it reached 400 .4 dt 1200 (b) Sketch several solutions of the new equation, including the solution curve with NCO) 400. (This will not be graded.) (c) Is the practice of catching 100 fish per year sustainable or will it totally deplete the fish population in the pond? (You will have only one submission for this answer. Use your submission wisely!) O Yes, it is sustainable. No, it is unsustainable. (d) How far below the original carrying capacity will the number of fish be in the long run? (Give your answer correct to the nearest whole fish.)
Hubert KochLv2
26 Jan 2019