Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question
The population of treated mosquitoes comes in thousands, in a tropical rain forest at
time m, in months, is demonstrated by the following function:
8+m², if 0< m < 3
m² , iƒ 0 < m < 3
24
р (т) —
3 + m², if 3 < m < 6
This function describes a sudden change in the population at time m=3 because of a
tragic event caused by forest fire.
A. Sketch the graph of p(m)
lim p(m) and lim p(m)
m→3+
B. Evaluate m→3-
C. Determine how many treated mosquitoes were eliminated by the fire.
D. What is the time, when the population recovers to the amount they were before
the fire?
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Transcribed Image Text:The population of treated mosquitoes comes in thousands, in a tropical rain forest at time m, in months, is demonstrated by the following function: 8+m², if 0< m < 3 m² , iƒ 0 < m < 3 24 р (т) — 3 + m², if 3 < m < 6 This function describes a sudden change in the population at time m=3 because of a tragic event caused by forest fire. A. Sketch the graph of p(m) lim p(m) and lim p(m) m→3+ B. Evaluate m→3- C. Determine how many treated mosquitoes were eliminated by the fire. D. What is the time, when the population recovers to the amount they were before the fire?
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