A tank initially contains 90 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 1.5 h. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank? *** (a) The amount of salt x in the tank after t minutes is x =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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K
A tank initially contains 90 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and
the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 1.5 h.
(a) Find the amount of salt in the tank after t minutes.
(b) What is the maximum amount of salt ever in the tank?
ok
F4
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Ask my instructor
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(a) The amount of salt x in the tank after t minutes is x = 0
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Transcribed Image Text:K A tank initially contains 90 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 1.5 h. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank? ok F4 T G Ask my instructor 6 (a) The amount of salt x in the tank after t minutes is x = 0 F5 F6 9 ¡ Y U I BN M F7 FO HJ K L < O 6 ? F9 " F10 2 F11 ENTER ( *** SHIFT F12 A Clear all PRISC INS SCALK HOME END ↑ PG UP PG DN Check answer NUM 7 HOME T 4 ← 1 - END T 5 2 9 PG UP 3 PG DN
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