A farmer raises rabbits. Consider the growth of an idealized, but biologically unrealistic rabbit population. Suppose that a newly born pair of rabbits, one male and one female, are put in a field. Rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits. Rabbits never die and a mating pair always produces one new pair (one male and one female) every month from the second month on. The main question is: How many pairs of rabbits will there be in one year?

A farmer raises rabbits. Consider the growth of an idealized, but biologically unrealistic rabbit population. Suppose that a newly born pair of rabbits, one male and one female, are put in a field. Rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits. Rabbits never die and a mating pair always produces one new pair (one male and one female) every month from the second month on. The main question is: How many pairs of rabbits will there be in one year?

Name: A farmer raises rabbits. Consider the growth of an idealized, but bio
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Description: A farmer raises rabbits. Consider the growth of an idealized, but biologically unrealistic rabbit population. Suppose that a newly born pair of rabbits, one male and one female, are put in a field. Rabbitsare able to mate at the age of one month so

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.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 108CR

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Section 2.2 (77) Frogs have been breeding like flies at the Enormous State University (ESU) campus! Each year, the pledge class of the Epsilon Delta fraternity is instructed to tag all the frogs residing on the ESU campus. Two years ago, they managed to tag all 50,000 of them (with little Epsilon Delta Fraternity tags). This year’s pledge class discovered that last year’s tags had all fallen off, and they wound up tagging a total of 75,000 frogs. a)Find an exponential model for the frog population. b)Assuming exponential population growth and that all this year’s tags have fallen off, how many tags should Epsilon Delta order for next year’s pledge class?
Suppose that every year, only 10% of the fish in a lake have surviving offspring. If there were 100 fish in the lake last year, there would now be 110 fish. If there were 1000 fish in the lake last year, there would now be 1100 fish. Absent any inhibiting factors, populations of people and animals tend to grow by a percent of the existing population each year. Suppose our lake began with 1000 fish, and 10% of the fish have surviving offspring each year. Since we start with 1000 fish, Po 1000. How do we calculate P₁? The new population will be the old population, plus an additional 10%. Symbolically: = P1 = Po + 0.10Po Notice this could be condensed to a shorter form by factoring: P₁= Po+0.10Po = 1Po + 0.10Po= (1+0.10)Po= 1.10Po While 10% is the growth rate, 1.10 is the growth multiplier. Notice that 1.10 can be thought of as "the original 100% plus an additional 10%" For our fish population, P₁ = 1.10(1000) = 1100 We could then calculate the population in later years. Fill in the…
A population has the following characteristics. (a) A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is 2 the first year, 3 the second year, and 2 the third year. The population now consists of 144 members in each of the three age classes. How many members will there be in each age class in 1 year? 0s age < 1 1 < age s 2 2s age s 3 In 2 years? 0s age s 1 1s age s 2 2s age < 3 Need Help? Read It
A population has the following characteristics. (a) A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is 2 the first year, 3 the second year, and 2 the third year. The population now consists of 144 members in each of the three age classes. How many members will there be in each age class in 1 year? 0 < age < 1 1 s age < 2 2 < age < 3 In 2 years? 0 < age < 1 1< age < 2 2< age < 3