# Calculus Help Please Urgent!!!

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

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asked by TANYA
1. Yeah.

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posted by Allie
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)

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

Thanks!

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posted by TANYA
4. Hey, I just gave you the method, not the answer
You have to put in the given period and amplitude

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posted by Damon
5. Oh, I take that back, their function includes the proper period and amplitude.

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posted by Damon
6. What were your bounds?

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posted by Mark

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