Question:1. Oil leaks out of a tanker at a rate of r = f(t) gallons per minute, where t is in minutes. Write a definite integral expressing the total quantity of oil which leaks out of the tanker in the first hour.
2. Let f(1) = 7, f (t) = e-t2. Use left- and right-hand sums of 5 rectangles each to estimate f(2).