In the untread area of the mosquitoes, in the months of January to February, as m is in month, and the population, p, of 5000 mosquitoes increase in size, according to the following function: 6m² + 19 p (m) = 5000 ( 3 + m³ + 34m + 24 A. What is the average rate of change at which the population increases after the month of november, m=4, and December, m=5. B. State a simplified difference quotient in terms of h, in order to approximate the instantaneous rate of change at m=7. C. Evaluate the limit done in part B as h-0

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 39CT: The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model...
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In the untread area of the mosquitoes, in the months of January to February, as m is in
month, and the population, p, of 5000 mosquitoes increase in size, according to the
following function:
6m? + 19
p(m) = 5000 ( 3 +
m3 + 34m + 24
A. What is the average rate of change at which the population increases after the
month of november, m=4, and December, m=5.
B. State a simplified difference quotient in terms of h, in order to approximate the
instantaneous rate of change at m=7.
C. Evaluate the limit done in part B as h-0
Transcribed Image Text:In the untread area of the mosquitoes, in the months of January to February, as m is in month, and the population, p, of 5000 mosquitoes increase in size, according to the following function: 6m? + 19 p(m) = 5000 ( 3 + m3 + 34m + 24 A. What is the average rate of change at which the population increases after the month of november, m=4, and December, m=5. B. State a simplified difference quotient in terms of h, in order to approximate the instantaneous rate of change at m=7. C. Evaluate the limit done in part B as h-0
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