Solve the Problem $y = 4 ( 50 + t ) - \frac { C } { ( 100 + t ) ^ { 3 } }$

question 31

Multiple Choice

Solve the problem.
-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.

• A) \(y = 4 ( 50 + t ) - \frac { C } { ( 100 + t ) ^ { 3 } }\)
• B) \(y = 2 ( 100 + t ) - \frac { 10 ^ { 8 } } { ( 100 + t ) ^ { 3 } }\)
• C) \(y = 4 ( 50 + t ) - \frac { 10 ^ { 8 } } { ( 100 + t ) ^ { 3 } }\)
• D) \(y = 2 ( 100 + t ) - \frac { C } { \left( 100 + t ^ { 3 } \right) }\)

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