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The number N(t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value problem dN dt (a) Use the phase portrait concept of Section 2.1 to predict how many supermarkets are expected to adopt the new procedure over a long period of time. supermarkets By hand, sketch a solution curve of the given initial-value problem. N 2500+ 2000 1500 1000 O 500 - =N(1 -0.0002N), N(0) = 1. 5 10 15 20 t N 5000 4000 3000 2000 1000 N 5000 4000 ru 3000 2000 1000 -t 20 5 10 15 (b) Solve the initial-value problem and then use a graphing utility to verify the solution curve in part (a). N(t) = How many supermarkets are expected to adopt the new technology when t 15? (Round your answer to the nearest integer.) supermarkets 5 10 15 t 20 N 2500 H 2000 1500 1000 500 5 10 15 20

The number N(t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value problem dN dt (a) Use the phase portrait concept of Section 2.1 to predict how many supermarkets are expected to adopt the new procedure over a long period of time. supermarkets By hand, sketch a solution curve of the given initial-value problem. N 2500+ 2000 1500 1000 O 500 - =N(1 -0.0002N), N(0) = 1. 5 10 15 20 t N 5000 4000 3000 2000 1000 N 5000 4000 ru 3000 2000 1000 -t 20 5 10 15 (b) Solve the initial-value problem and then use a graphing utility to verify the solution curve in part (a). N(t) = How many supermarkets are expected to adopt the new technology when t 15? (Round your answer to the nearest integer.) supermarkets 5 10 15 t 20 N 2500 H 2000 1500 1000 500 5 10 15 20

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Differential Equations

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The number N(t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value problem dN dt (a) Use the phase portrait concept of Section 2.1 to predict how many supermarkets are expected to adopt the new procedure over a long period of time. supermarkets By hand, sketch a solution curve of the given initial-value problem. N N 5000 4000 3000 MKUU 2000 1000 t 20 2500 2000 1500 = N(1 - 0.0002N), N(0) = 1. 1000 500 5 10 15 20 supermarkets t N 5000 4000 3000 2000 1000 5 10 15 (b) Solve the initial-value problem and then use a graphing utility to verify the solution curve in part (a). N(t) = How many supermarkets are expected to adopt the new technology when t = 15? (Round your answer to the nearest integer.) 5 10 15 20 t N 2500 2000 1500 1000 500 5 10 15 20 t
Transcribed Image Text:The number N(t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value problem dN dt (a) Use the phase portrait concept of Section 2.1 to predict how many supermarkets are expected to adopt the new procedure over a long period of time. supermarkets By hand, sketch a solution curve of the given initial-value problem. N N 5000 4000 3000 MKUU 2000 1000 t 20 2500 2000 1500 = N(1 - 0.0002N), N(0) = 1. 1000 500 5 10 15 20 supermarkets t N 5000 4000 3000 2000 1000 5 10 15 (b) Solve the initial-value problem and then use a graphing utility to verify the solution curve in part (a). N(t) = How many supermarkets are expected to adopt the new technology when t = 15? (Round your answer to the nearest integer.) 5 10 15 20 t N 2500 2000 1500 1000 500 5 10 15 20 t
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