Question: A calculus question need help. Hope can get right answer as soon as possible. Explanation can be short because I just want to check my

A calculus question need help. Hope can get right answer as soon as possible. Explanation can be short because I just want to check my own answer.

Question 1 An island is initially (at t = 0) home to 700 birds. After 1 year the bird population doubles to 1,400. 1 9"\" (a) Assuming exponential growth, how long will it take for the population to reach 5, 600? ' Number years (b) Next, suppose the island has a maximum carrying capacity of M = 7, 000 and therefore the population is described by the logistic growth model. The population in this case is given by M Pt : () 1+Ae'"t M P0 P0 ' (i) Determine a value for the constant k. (Give your answer to three decimal places.) 1 where A = k = Number ' years (ii) How long will it take for the population to reach 5, 600? (Give your answer to one decimal places.) Number ' years

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