A mixing tank contains 80 gallons of pure water solution. When the mixing system is turned on, a saltwater solution with 2 Ib/gal of salt enters at a rate of 5 gal/min. The well stirred solution leaves the mixing tank at a rate of 3 gal/min. Determine the formula for the amount of salt in the mixing tank at any time. a) Draw a diagram of the mixing tank labeling the given parameters of the problem. b) Determine the differential equation and the initial conditions. c) Determine the formula for the amount of salt in the mixing tank at any time.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A mixing tank contains 80 gallons of pure water solution. When the mixing system is turned on, a
saltwater solution with 2 lb/gal of salt enters at a rate of 5 gal/min. The well stirred solution leaves the
mixing tank at a rate of 3 gal/min. Determine the formula for the amount of salt in the mixing tank at any
time.
a) Draw a diagram of the mixing tank labeling the given parameters of the problem.
b) Determine the differential equation and the initial conditions.
c) Determine the formula for the amount of salt in the mixing tank at any time.
Note: Use exact number for this problem, do not use decimals.
Transcribed Image Text:A mixing tank contains 80 gallons of pure water solution. When the mixing system is turned on, a saltwater solution with 2 lb/gal of salt enters at a rate of 5 gal/min. The well stirred solution leaves the mixing tank at a rate of 3 gal/min. Determine the formula for the amount of salt in the mixing tank at any time. a) Draw a diagram of the mixing tank labeling the given parameters of the problem. b) Determine the differential equation and the initial conditions. c) Determine the formula for the amount of salt in the mixing tank at any time. Note: Use exact number for this problem, do not use decimals.
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