The population of a community of foxes is observed to fluctuate on a 10-year cycle due to

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The population of a community of foxes is observed to fluctuate on a 10-year cycle due to variations in the availability of prey. When population measurements began (t = 0), the population was 35 foxes. The growth rate in units of foxes/year was observed to be

пI P'(t) = 5 + 10 sin 5

a. What is the population 15 years later? 35 years later?

b. Find the population P(t) at any time t ≥ 0.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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