The graph shows the amount of a medicine m, in milligrams, remaining in a patient's body h hours after receiving an injection. The amount of the medicine decreases exponentially. *(0,270) m (mg of drug in body) b. 250 200 C. 150 100 50 (1.5,80) a. By what factor did the medicine decrease in the first hour and a half? Explain how you know. 0.5 1 1.5 2 2.5 h (hours since injection) By what factor did the medicine decrease in the first half hour? What about in the first hour? Explain how you know. Write an equation relating m, the number of milligrams of the drug in the patient's body, and h, the number of hours since the injection.
The graph shows the amount of a medicine m, in milligrams, remaining in a patient's body h hours after receiving an injection. The amount of the medicine decreases exponentially. *(0,270) m (mg of drug in body) b. 250 200 C. 150 100 50 (1.5,80) a. By what factor did the medicine decrease in the first hour and a half? Explain how you know. 0.5 1 1.5 2 2.5 h (hours since injection) By what factor did the medicine decrease in the first half hour? What about in the first hour? Explain how you know. Write an equation relating m, the number of milligrams of the drug in the patient's body, and h, the number of hours since the injection.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:NAME
6.
b.
m (mg of drug in body)
a.
The graph shows the amount of a medicine m in milligrams, remaining in a
patient's body h hours after receiving an injection. The amount of the medicine
decreases exponentially.
(0,270)
b.
area
C.
Another pond has an algae bloom that is also decreasing exponentially. The area
of this bloom in square meters is given by the function
-4
B(d)= 100.2
where
d is days since the first measurement of the bloom. Which of the two algae
blooms was larger initially? Which is decreasing more quickly? Explain how you
know.
250
DATE
200
150
100
50
(1.5,80)
0.5
1
1.5
2
h (hours since injection)
PERIOD
2.5
By what factor did the medicine decrease in the first hour and a half? Explain
how you know.
By what factor did the medicine decrease in the first half hour? What about in
the first hour? Explain how you know.
Write an equation relating m the number of milligrams of the drug in the
patient's body, and h the number of hours since the injection.
9
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