(a) In one or two sentences, write down an interpretation of the definite integral 10 | (B(t) – D(t)) dt in the context of this problem. (b) Will the population after 10 years be greater or less than the initial population? Write one or two sentences explaining your answer. (c) Is there a time t > 0 at which the population will again be the same size as the initial population? If so, provide a rough estimate of this time, and write one or two sentences explaining how you found it. (d) Suppose you know that the average birth rate over the first 40 years is 100 bunnies/year and the average death rate over the first 40 years is 110 bunnies/year. How many bunnies are there in the population at t = 40? Show your work.

(a) In one or two sentences, write down an interpretation of the definite integral 10 | (B(t) – D(t)) dt in the context of this problem. (b) Will the population after 10 years be greater or less than the initial population? Write one or two sentences explaining your answer. (c) Is there a time t > 0 at which the population will again be the same size as the initial population? If so, provide a rough estimate of this time, and write one or two sentences explaining how you found it. (d) Suppose you know that the average birth rate over the first 40 years is 100 bunnies/year and the average death rate over the first 40 years is 110 bunnies/year. How many bunnies are there in the population at t = 40? Show your work.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

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