A conservation organization releases 35 Florida panthers into a game preserve. After 2 years, there are...

  

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A conservation organization releases 35 Florida panthers into a game preserve. After 2 years, there are 200 panthers in the preserve. The Florida preserve has a carrying capacity of 560 panthers. (a) Write a logistic equation that models the population of panthers in the preserve. (Round your k to four decimal places. Use t for the time in years.) P = (b) Find the population after 5 years. (Round your answer to the nearest whole number.) panthers (c) When will the population reach 280? (Round your answer to two decimal places.) yr (d) Write a logistic differential equation that models the growth rate of the panther population. Then using Euler's Method, repeat part (b) with a step size of h = 1. Use the initial release population of 35 panthers as your initial value to start Euler's Method. (Round your answer to the nearest whole number.) dP dt P(5) x (e) At what time is the panther population growing most rapidly? (Round your answer to two decimal places.) yr A conservation organization releases 35 Florida panthers into a game preserve. After 2 years, there are 200 panthers in the preserve. The Florida preserve has a carrying capacity of 560 panthers. (a) Write a logistic equation that models the population of panthers in the preserve. (Round your k to four decimal places. Use t for the time in years.) P = (b) Find the population after 5 years. (Round your answer to the nearest whole number.) panthers (c) When will the population reach 280? (Round your answer to two decimal places.) yr (d) Write a logistic differential equation that models the growth rate of the panther population. Then using Euler's Method, repeat part (b) with a step size of h = 1. Use the initial release population of 35 panthers as your initial value to start Euler's Method. (Round your answer to the nearest whole number.) dP dt P(5) x (e) At what time is the panther population growing most rapidly? (Round your answer to two decimal places.) yr

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