Question

42. 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 $P'(t) = 5 + 10 \sin \frac{\pi t}{5}$. a. What is the population 15 years later? 35 years later? b. Find the population $P(t)$ at any time $t \ge 0$.

Name: 42. 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 P'(t) = 5 + 10 sin(π t)/(5). a. What is the population 15 years later? 35 years later? b. Find the population P(t) at any time t ≥ 0.
Uploaded: 2022-03-19T06:33:43-08:00
Channel: Raman S

          42. 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 \(P'(t) = 5 + 10 \sin \frac{\pi t}{5}\). a. What is the population 15 years later? 35 years later? b. Find the population $P(t)$ at any time $t \ge 0$.

42. 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 P'(t) = 5 + 10 sin(π t)/(5). a. What is the population 15 years later? 35 years later? b. Find the population P(t) at any time t ≥ 0.

Added by Todd E.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Raman S

03/19/2022

Step 1

Step 1: To find the population 15 years later, substitute t = 15 into the population growth rate equation P'(t) = 5 + 10sin(5t). Show more…

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42. The population of a community of foxes is observed to fluctuate on 10-year cycle due to variations in the availability of prey: When population measurements began 0) , the population was 35 foxes The growth rate in units of foxes year was observed to be Tt P' (t) = 5 + 10 sin 5 What is the population 15 years later? 35 years later? h. Find the population P(t) at any time 2 0.