large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is dissolved. Brine containing 1 2 pound of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well-mixed solution is then pumped out at a slower rate of 4 gal/min. Find the number of pounds of salt in the tank after 30 minutes.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Instructions: Topic: APPLICATIONS OF 1ST ORDER DIFFERENTIAL EQUATIONS


Provide what is needed. Show your full solutions, no shorthand. Do not approximate
the value of k, do approximation after you find your final answer.


4. A large tank is partially filled with
100 gallons of fluid in which 10
pounds of salt is dissolved. Brine
containing 1
2
pound of salt per gallon
is pumped into the tank at a rate of
6 gal/min. The well-mixed solution
is then pumped out at a slower rate
of 4 gal/min. Find the number of
pounds of salt in the tank after 30
minutes.

 

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