On a certain workday, the rate, in tons per hour, at which unprocessed gravel arrives at a gravel processing plant is
modeled by G(t) = 90 + 45 cos (t), where t is
measured in hours and 0 the workday (t=0), the plant has 500 tons of unprocessed
gravel. During the hours of operations, 0 plant processes gravel at a constant rate of 100 tons per
hour.
c.) Is the unprocessed gravel at the plant increasing or
decreasing at time t=5 hours? Show the work that leads
to your answer.