Water flows into an overhead tank in Mumbai at a rate of R(t) = 10e^(0.2t) liters/minute. How much water is added to the tank in the first 5 minutes? A. 50(e - 1) L B. 10(e - 1) L C. 25(e - 1) L D. 50e L Answer: A) 50(e - 1) L Explanation: Volume = ∫[0 to 5] 10e^(0.2t) dt = [10/0.2 e^(0.2t)] from 0 to 5 = 50[e¹ - e⁰] = 50(e - 1) liters.

imo class 12 definite integration

Water flows into an overhead tank in Mumbai at a rate of R(t) = 10e^(0.2t) liters/minute. How much water is added to the tank in the first 5 minutes?

VAVidaara Admin Asked 6d ago 0 views 0 answers

Water flows into an overhead tank in Mumbai at a rate of R(t) = 10e^(0.2t) liters/minute. How much water is added to the tank in the first 5 minutes?

Answer: A) 50(e - 1) L

Explanation: Volume = ∫[0 to 5] 10e^(0.2t) dt = [10/0.2 e^(0.2t)] from 0 to 5 = 50[e¹ - e⁰] = 50(e - 1) liters.