Calculator active. A 10,000-liter tank of water is filled to capacity. At time t = 0, water begins to drain out of
the tank at a rate modeled by r(t), measured in liters per hour, where r is given by the piecewise-defined
function
r(t)
100€ for 0 < t ≤ 6.
t+2
a. Find J& r(t) dt
b. Explain the meaning of your answer to part a in the context of this problem.
c. Write, but do not solve, an equation involving an integral to find the time A when the amount of water in the
tank is 8.000 liters.