APFIVE Average Flow Rate Over an Interval
The flow rate of water, in gallons per minute, through a municipal pipeline $$t$$ hours after midnight is modeled by the function $$Q(t) = 30 + 8 \sin\left(\displaystyle\frac{\pi t}{4}\right) + 5 \cos\left(\displaystyle\frac{\pi t}{2}\right)$$. What is the average flow rate of water through the pipeline between midnight ($$t = 0$$) and 4 A.M. ($$t = 4$$)?
A
$$\displaystyle 36.28$$
B
$$\displaystyle 37.15$$
C
$$\displaystyle 35.09$$
D
$$\displaystyle 33.92$$
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