4. During the production process at a local brewery, a batch of beer with 6% alcohol is pumped into a barrel containing a 500 gallon batch of beer with 4% alcohol at a rate of 5 gallons/minute. The resulting mixture is pumped out at the same rate. 6% Alcohol e 5 gal/min Mixture e 5 gal/min As the two batches mix, the total volume of pure alcohol in the barrel a(t) changes as a function of time and satisfies the following first-order differential equation and initial condition: da + 0.01a(t) = 0.3 dt a(0) = 20 gallons of alcohol a) Determine the transient solution, atrans(t)

4. During the production process at a local brewery, a batch of beer with 6% alcohol is pumped into a barrel containing a 500 gallon batch of beer with 4% alcohol at a rate of 5 gallons/minute. The resulting mixture is pumped out at the same rate. 6% Alcohol e 5 gal/min Mixture e 5 gal/min As the two batches mix, the total volume of pure alcohol in the barrel a(t) changes as a function of time and satisfies the following first-order differential equation and initial condition: da + 0.01a(t) = 0.3 dt a(0) = 20 gallons of alcohol a) Determine the transient solution, atrans(t)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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