A tank initially contains 100L of brine in which there dissolved 20kg of salt. Pure water flows into the tank at a rate of 10L per minute and the mixture is kept uniform by stirring. The stirred mixture simultaneously flows out at the rate of 7 minutes per minute. (a) How much salt is in the tank at any time t? (c) How much salt is in the tank in the long run?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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plz solve both parts within 30-40 mins I'll give you multiple upvote
A tank initially contains 100L of brine in which there
dissolved 20kg of salt. Pure water flows into the
tank at a rate of 10L per minute and the mixture is
kept uniform by stirring. The stirred mixture
simultaneously flows out at the rate of 7 minutes
per minute. (a) How much salt is in the tank at any
time t? (c) How much salt is in the tank in the long
run?
Transcribed Image Text:A tank initially contains 100L of brine in which there dissolved 20kg of salt. Pure water flows into the tank at a rate of 10L per minute and the mixture is kept uniform by stirring. The stirred mixture simultaneously flows out at the rate of 7 minutes per minute. (a) How much salt is in the tank at any time t? (c) How much salt is in the tank in the long run?
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