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
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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