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7. In the absence of predators, the population of mosquitoes in a certain area increase at a rate that is proportional to its current population and the population doubles every 6 weeks. There are about 400,000 mosquitoes in this area now. a. Find a function M(t) which describes the number of mosquitoes at any time t weeks from now.

7. In the absence of predators, the population of mosquitoes in a certain area increase at a rate that is proportional to its current population and the population doubles every 6 weeks. There are about 400,000 mosquitoes in this area now. a. Find a function M(t) which describes the number of mosquitoes at any time t weeks from now.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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7. In the absence of predators, the population of mosquitoes in a certain area increase at a rate that is proportional to its current population and the population doubles every 6 weeks. There are about 400,000 mosquitoes in this area now. a. Find a function M(t) which describes the number of mosquitoes at any time t weeks from now. b. Suppose that there is a flock of birds that eat mosquitoes and they each about 60, 000 mosquitoes per week. If the Mosquitoes are still growing according to part a with an initial population of 200,000 and there are also these predatory birds, find a differential equation dM/dt for M(t) representing number of mosquitoes . ( hint : growth – predation rate )
Transcribed Image Text:7. In the absence of predators, the population of mosquitoes in a certain area increase at a rate that is proportional to its current population and the population doubles every 6 weeks. There are about 400,000 mosquitoes in this area now. a. Find a function M(t) which describes the number of mosquitoes at any time t weeks from now. b. Suppose that there is a flock of birds that eat mosquitoes and they each about 60, 000 mosquitoes per week. If the Mosquitoes are still growing according to part a with an initial population of 200,000 and there are also these predatory birds, find a differential equation dM/dt for M(t) representing number of mosquitoes . ( hint : growth – predation rate )
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