Suppose a population P of rabbits satisfies the differential equation (dp/dt) = k p², for a constant k>0, and initially thereare 5 rabbits. If their number is increasing at the rate of 2 rabbits per month when there are 25 rabbits, then which, if any,of the following statements is correct?Choose All Correct Answers BelowAA According to this model the number of rabbits is 1000 at approximately 1.45 months.EAccording to this model the number of rabbits is 1250 at approximately 62.25 months.According to this model the number of rabbits increases during the first month and decreases thereafter.According to this model the number of rabbits increases indefinitely as time approaches 62.5 months.None of the given answers.F) According to this model the number of rabbits increases during the first 2 months and stays the same thereafter.

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Suppose a population P of rabbits satisfies the differential equation (dP/dt) = k p2, for a constant k>0, and initially there are 5 rabbits. If their number is increasing at the rate of 2 rabbits per month when there are 25 rabbits, then which, if any, of the following statements is correct? Choose All Correct Answers Below A) According to this model the number of rabbits is 1000 at approximately 1.45 months. B) According to this model the number of rabbits is 1250 at approximately 62.25 months. According to this model the number of rabbits increases during the first month and decreases thereafter. D According to this model the number of rabbits increases indefinitely as time approaches 62.5 months. E None of the given answers. According to this model the number of rabbits increases during the first 2 months and stays the same thereafter.

Suppose a population P of rabbits satisfies the differential equation (dP/dt) = k p2, for a constant k>0, and initially there are 5 rabbits. If their number is increasing at the rate of 2 rabbits per month when there are 25 rabbits, then which, if any, of the following statements is correct? Choose All Correct Answers Below A) According to this model the number of rabbits is 1000 at approximately 1.45 months. B) According to this model the number of rabbits is 1250 at approximately 62.25 months. According to this model the number of rabbits increases during the first month and decreases thereafter. D According to this model the number of rabbits increases indefinitely as time approaches 62.5 months. E None of the given answers. According to this model the number of rabbits increases during the first 2 months and stays the same thereafter.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 1CR

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