Question

Breathing is cyclic and a full respiratory cycle from the beginning of inhalation to the end of exhalation takes about 3 s. The maximum rate of air flow into the lungs is about 0.3 L/s. This explains, in part, why the function
f(t) = (3/10)sin(2πt/3) has often been used to model the rate of air flow into the lungs. Use this model to find the volume of inhaled air in the lungs at time t.


V(t)= ????? liters

Answer 1

Yeah.

Answer 2

dV/dt = f(t) = (3/10) sin (2 pi t/3)
V = integral of that dt
= -(3/10)(3/2pi) cos (2 pi t/3)
= -(9/20pi)cos (2 pi t /3)

Answer 3

When i put this answer in it is marked wrong. Are u sure this is the right answer for this question?

Thanks!

Answer 4

Hey, I just gave you the method, not the answer
You have to put in the given period and amplitude

Answer 5

Oh, I take that back, their function includes the proper period and amplitude.

Answer 6

What were your bounds?