A tank initially has 100 gallons of brine containing 5 lbs of salt. The mixture is kept well-mixed. A solution with 3 lbs salt/gal is allowed to flow into the tank at a rate of 2 gal/min, and the mixture flows out of the tank at a rate of 2 gal/min. a) Sketch a picture and define your variables. b) Set up the DE that fits this situation, and simplify your DE. Be sure to use proper notation. You do NOT have to solve the DE. c) What type of DE is this? (Integrate, separable, linear, linear inside, homogeneous. Bernoulli, or exact?)

A tank initially has 100 gallons of brine containing 5 lbs of salt. The mixture is kept well-mixed. A solution with 3 lbs salt/gal is allowed to flow into the tank at a rate of 2 gal/min, and the mixture flows out of the tank at a rate of 2 gal/min. a) Sketch a picture and define your variables. b) Set up the DE that fits this situation, and simplify your DE. Be sure to use proper notation. You do NOT have to solve the DE. c) What type of DE is this? (Integrate, separable, linear, linear inside, homogeneous. Bernoulli, or exact?)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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