Homework Help: Precalculus

Posted by Max on Sunday, November 21, 2010 at 2:13pm.

The volume V(t) of air (in cubic inches) in an adult's lungs t seconds after exhaling is approximately. (Do not use mixed numbers in your answer.)
V(t)= 53+28.5sin(pie(t)/2-pie/2)
(a) Find the maximum and minimum amount of air in the lungs.
Maximum is (cubic inches)
Minimum is (cubic inches)

(b) How often does the person exhale?
every (seconds)

(c) How many breaths per minute does the person take?

Precalculus - Reiny, Sunday, November 21, 2010 at 2:29pm
sin(pie(t)/2-pie/2) has a max of 1 and a min of -1

so V(t) has a max of 53 + 28.5(1) = 81.5
and a min of 53 + 28.5(-1) = 24.5

b) we need the period
period = 2π/(π/2) = 4

c) easy now

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