Scott Shazam's Great Big Bagel Factory deals with large quantities of hot salt water. In the factory, a 50-gallon tank initially contains 10 gallons of fresh water when a solution containing 1 lb of salt per gallon begins to pour into the tank at a rate of 4 gal/min. Simultaneously, well-mixed salt solution begins leaving the tank (for the bagel bath) at a rate of 2 gal/min. You may assume that the solution remains perfectly mixed and that the volume of the salt itself is negligible. Set up (but do not solve) an initial value problem modeling this situation. Reach: Set up a system of initial value problems corresponding to the following diagram, where A and B are very large tanks. (You do not need to solve the system.) Input concentration: 2 Ib/gal -2 gal/min- B -2 gal/min A Initial Volume: 87 gal Initial Volume: 5 gal Initial Salt: 9 lbs Initial Salt: O Ibs 1 gal/min- 3 gal/min-
Scott Shazam's Great Big Bagel Factory deals with large quantities of hot salt water. In the factory, a 50-gallon tank initially contains 10 gallons of fresh water when a solution containing 1 lb of salt per gallon begins to pour into the tank at a rate of 4 gal/min. Simultaneously, well-mixed salt solution begins leaving the tank (for the bagel bath) at a rate of 2 gal/min. You may assume that the solution remains perfectly mixed and that the volume of the salt itself is negligible. Set up (but do not solve) an initial value problem modeling this situation. Reach: Set up a system of initial value problems corresponding to the following diagram, where A and B are very large tanks. (You do not need to solve the system.) Input concentration: 2 Ib/gal -2 gal/min- B -2 gal/min A Initial Volume: 87 gal Initial Volume: 5 gal Initial Salt: 9 lbs Initial Salt: O Ibs 1 gal/min- 3 gal/min-
Chapter5: Decimals
Section5.6: Ratios And Rate
Problem 483E: A popular fast food burger weighs 7.5 ounces and contains 540 calories, 29 grams of fat, 43 grams of...
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Answer part 2 of the DE problem
Transcribed Image Text:Scott Shazam's Great Big Bagel Factory deals with large quantities of hot salt water. In the factory, a 50-gallon
tank initially contains 10 gallons of fresh water when a solution containing 1 lb of salt per gallon begins to
pour into the tank at a rate of 4 gal/min. Simultaneously, well-mixed salt solution begins leaving the tank (for
the bagel bath) at a rate of 2 gal/min. You may assume that the solution remains perfectly mixed and that the
volume of the salt itself is negligible.
Set up (but do not solve) an initial value problem modeling this situation.
Reach: Set up a system of initial value problems corresponding to the following diagram, where A and B are
very large tanks. (You do not need to solve the system.)
Input concentration: 2 Ib/gal
-2 gal/min-
B
-2 gal/min
A
Initial Volume: 87 gal
Initial Volume: 5 gal
Initial Salt: 9 lbs
Initial Salt: O Ibs
1 gal/min-
3 gal/min-
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