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