For a person at rest, the velocity v (in liters per second) of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next) is modeled by v = 0.85 sin). where t is the time (in seconds). (Inhalation occurs when v > 0, and exhalation occurs when v (a) Find the time for one full respiratory cycle. sec (b) Find the number of cycles per minute. cycles/min (c) Sketch the graph of the velocity function. Use the graph to confirm your answer in part (a) by finding two times when new breaths begin. AA 1.0 0.5 6 10 12 10 20 40 60 -0.5 o-1.0 1.0 0.5 0.5 10 1.5/ 2.0 2.3 3.0 -0.5 o-1.0f

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For a person at rest, the velocity v (in liters per second) of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next) is modeled by v = 0.85 sin
where t is the time (in seconds). (Inhalation occurs when v > 0, and exhalation occurs when v < 0.)
(a) Find the time for one full respiratory cycle.
sec
(b) Find the number of cycles per minute.
cycles/min
(c) Sketch the graph of the velocity function. Use the graph to confirm your answer in part (a) by finding two times when new breaths begin.
V
V
1.0-
0.5
2
2
6
8
10
12
14
10
20
36
40
50
60
-0.5
0-1.0f
V
AA
1.0
0.5
10
15
0.5
1.0
1.5
2.0
2.5 3.0
-0.5
–1.0|
Transcribed Image Text:For a person at rest, the velocity v (in liters per second) of airflow during a respiratory cycle (the time from the beginning of one breath to the beginning of the next) is modeled by v = 0.85 sin where t is the time (in seconds). (Inhalation occurs when v > 0, and exhalation occurs when v < 0.) (a) Find the time for one full respiratory cycle. sec (b) Find the number of cycles per minute. cycles/min (c) Sketch the graph of the velocity function. Use the graph to confirm your answer in part (a) by finding two times when new breaths begin. V V 1.0- 0.5 2 2 6 8 10 12 14 10 20 36 40 50 60 -0.5 0-1.0f V AA 1.0 0.5 10 15 0.5 1.0 1.5 2.0 2.5 3.0 -0.5 –1.0|
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