A 100-gallon tank is full of a solution containing 25 pounds of a concentrate. Starting at time  distilled water is admitted to the tank at the rate of 5 gallons per minute, and the well-stirred solution is withdrawn at the same rate.

(a) Find the amount Q of the concentrate in the solution as a function of  by solving the differential equation (b) Find the time required for the amount of concentrate in the tank to reach 15 pounds.

A. a.

b. min

?


B. a. 

b. min

?


C. a.

b. min

?


D. a.

b. min

?


E. a.

b.  min

?



Answer: E

Mathematics

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