Consider this problem. Water is drained from a swimming pool at a rate given by r (t) = 100e i gallons per hour, where k = 20. If the pool could drain forever (infinite time), how much water would drain from the pool? Step through the solution. Advice: solve the problem on paper. Then, answer the following questions. The total amount of water drained is given by the integral of the rate function over the infinite time interval: for 100e I dt This integral is | [ Select ]A student worked out the antiderivative of 100e. They considered several possibilities: A) 100e B) -100k . e F C) 100 e The correct antiderivative is possibility B After the student applied the evaluation theorem, and after they completed some algebra steps, they needed to take this limit: lim e 20 boo They considered several possibilities: A) O B) 1 C) DO The correct limit is possibility AThe total amount of water drained is given by the integral of the rate function over the innite time interval: if timet at This integral is V [59'9"] ' . undefined ' indeterminate divergent l A student WOI improper le_ I . Thea.r considered several possibilities: E