Answered: 10. Cally Culus is mixing stuff again.… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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10. Cally Culus is mixing stuff again. She has a large bucket containing 200 liters of
water in which 30 grams of salt is dissolved. A brine solution containing 2 gram of salt
per liter is being pumped into the tank at a rate of 5 liters per minute. The well mixed
solutions is then pumped out at the same rate of 5 liters per minute. Let A represent the
number of grams of salt in the tank and let t represent the time in minutes.
(a) Set up a differential equation to model this situation.
(b) Use the methods of Chapter 2 to solve the DE and find the function A(t). Show all
work!

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