Consider this problem. Water is drained from a swimming pool at a rate given by " (t) = 100e F 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: 100e & dt This integral is [ Select ] A student worked out the antiderivative of 100e . They considered several possibilities: A) 100e B) - 100k . e F C) 10 e - The correct antiderivative is possibility [ Select ] 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 [ Select ]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: So 100e & dt This integral i