Homework Help is Here – Start Your Trial Now!
Math
Calculus
EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100 lb of an additive dissolved in it. In preparation for winter weather, gasoline containing 2 lb of additive per gallon is pumped into the tank at a rate of 40 gal/min. The well-mixed solution is pumped out at a rate of 45 gal/min. How much of the additive is in the tank 20 min after the pumping process begins (Figure 16.7)? dy dt 40 gal/min containing 2 lb/gal The differential equation modeling the mixture process is dy dt y(t) (40 × 2) - (45 × V(6) X = 80- 45 y(t) 2000-5t/ Apply Euler's methods to find y(20) = ? Ib Yo=y (0) = 100 45 gal/min containing lb/gal 9 to = 0

EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100 lb of an additive dissolved in it. In preparation for winter weather, gasoline containing 2 lb of additive per gallon is pumped into the tank at a rate of 40 gal/min. The well-mixed solution is pumped out at a rate of 45 gal/min. How much of the additive is in the tank 20 min after the pumping process begins (Figure 16.7)? dy dt 40 gal/min containing 2 lb/gal The differential equation modeling the mixture process is dy dt y(t) (40 × 2) - (45 × V(6) X = 80- 45 y(t) 2000-5t/ Apply Euler's methods to find y(20) = ? Ib Yo=y (0) = 100 45 gal/min containing lb/gal 9 to = 0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
See similar textbooks
icon
Related questions
Question
EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100 lb of an additive dissolved in it. In preparation for winter weather, gasoline containing 2 lb of additive per gallon is pumped into the tank at a rate of 40 gal/min. The well-mixed solution is pumped out at a rate of 45 gal/min. How much of the additive is in the tank 20 min after the pumping process begins (Figure 16.7)? dy dt 40 gal/min containing 2 lb/gal The differential equation modeling the mixture process is dy dt y(t)\ (40 × 2) - (45 × V(6) X = 80- 45 y(t) 2000-5t/ Apply Euler's methods to find y(20) = ? Ib Yo=y (0) = 100 45 gal/min containing lb/gal 9 to = 0
Transcribed Image Text:EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100 lb of an additive dissolved in it. In preparation for winter weather, gasoline containing 2 lb of additive per gallon is pumped into the tank at a rate of 40 gal/min. The well-mixed solution is pumped out at a rate of 45 gal/min. How much of the additive is in the tank 20 min after the pumping process begins (Figure 16.7)? dy dt 40 gal/min containing 2 lb/gal The differential equation modeling the mixture process is dy dt y(t)\ (40 × 2) - (45 × V(6) X = 80- 45 y(t) 2000-5t/ Apply Euler's methods to find y(20) = ? Ib Yo=y (0) = 100 45 gal/min containing lb/gal 9 to = 0
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS