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35. A tank contains 10 lb of salt dissolved in 30 gal of water. Suppose 2 gal of brine containing 1 lb of dis- solved salt per gallon runs into the tank every minute and that the mixture (kept uniform by stirring) runs out at the same rate. a. Find the amount of salt in the tank at time t. b. How long does it take (to the nearest second) for th tank to contain 15 lb of salt?

35. A tank contains 10 lb of salt dissolved in 30 gal of water. Suppose 2 gal of brine containing 1 lb of dis- solved salt per gallon runs into the tank every minute and that the mixture (kept uniform by stirring) runs out at the same rate. a. Find the amount of salt in the tank at time t. b. How long does it take (to the nearest second) for th tank to contain 15 lb of salt?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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35. A tank contains 10 lb of salt dissolved in 30 gal of water. Suppose 2 gal of brine containing 1 lb of dis- solved salt per gallon runs into the tank every minute and that the mixture (kept uniform by stirring) runs out at the same rate. a. Find the amount of salt in the tank at time t. b. How long does it take (to the nearest second) for the tank to contain 15 lb of salt?
Transcribed Image Text:35. A tank contains 10 lb of salt dissolved in 30 gal of water. Suppose 2 gal of brine containing 1 lb of dis- solved salt per gallon runs into the tank every minute and that the mixture (kept uniform by stirring) runs out at the same rate. a. Find the amount of salt in the tank at time t. b. How long does it take (to the nearest second) for the tank to contain 15 lb of salt?
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