SOLUTION: When seated, and average adult breathes in and out every 4 seconds. The average minimum amount of air in the lungs is 80ml, and average maximum amount of air in the lungs is 800ml

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Question 1062728: When seated, and average adult breathes in and out every 4 seconds. The average minimum amount of air in the lungs is 80ml, and average maximum amount of air in the lungs is 800ml
a. Assuming that the lungs are at a minimum at t= 0, sketch the graph that represents the average amount of air in the lungs over time for at least 2 cycles
b. Determine the amplitude and vertical displacement, period and k value
c. Determine a possible value for the phase shift and justify your choice
d. Determine an equation that will model the given situation

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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When seated, and average adult breathes in and out every 4 seconds. The average minimum amount of air in the lungs is 80ml,
and average maximum amount of air in the lungs is 800ml
a. Assuming that the lungs are at a minimum at t= 0, sketch the graph that represents the average amount of air
in the lungs over time for at least 2 cycles
b. Determine the amplitude and vertical displacement, period and k value
c. Determine a possible value for the phase shift and justify your choice
d. Determine an equation that will model the given situation
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
d.  V(T) = 440 - 360*cos((2pi*t)/4)


a.  Plot:





Plot  V(T) = 440 - 360*cos((2pi*t)/4)



b.  Amplitude =  = 360 mL


    Average value =  = 440 mL


    Period = 4 seconds.


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