Water is poured into a bucket according to the rate f of t equals the quotient of 7 plus t and the quantity 2 plus t , and at the same time empties out through a hole in the bottom at the rate e of t equals the quotient of the natural log of the quantity t plus 4 and the quantity t plus 2 , with both f(t) and e(t) measured in pints per minute. how much water, to the nearest pint, is in the bucket at time t = 5 minutes? you must show your setup, but can use your calculator for all evaluations.