Suppose that energy is produced at a rate of
E(t) = |g(t)|
in J/h (Joules per hour). Find the total energy generated from t = 0 to t = 24. Find the average rate of energy production. Check that g(t) changes sign from positive to negative at t = 15.
Suppose water is entering a tank at a rate of g(t) = 360t - 39t2 + t3 where g is measured in liters per hour and t is measured in hours. The rate is 0 at times 0, 15, and 24.