تم الحل ✓
categoryالرياضيات
schoolبكالوريوس
event_available2026-07-14
السؤال
Transcribed Image Text:
A) A tank initially contains 140 gal of brine in which 60 lb of salt are dissolved. A brine
containing 2 lb/gal of salt runs into the tank at the rate of 9 gal/min. The mixture is
kept uniform by stirring and flows out of the tank at the rate of 6 gal/min. Write, in
standard form, the differential equation that models the mixing process.
B) A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine
containing 2 lb/gal of salt runs into the tank at the rate of 4 gal/min. The mixture is
kept uniform by stirring and flows out of the tank at the rate of 3 gal/min. Find the
solution to the differential equation that models the mixing process.
C)A tank initially contains 100 gal of brine in which 30 lb of salt are dissolved. A brine
containing 1 lb/gal of salt runs into the tank at the rate of 6 gal/min. The mixture is
kept uniform by stirring and flows out of the tank at the rate of 8 gal/min. Write, in
standard form, the differential equation that models the mixing process.
A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine
D) containing 2 lb/gal of salt runs into the tank at the rate of 4 gal/min. The mixture is
kept uniform by stirring and flows out of the tank at the rate of 3 gal/min. Find the
solution to the differential equation that models the mixing process.
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