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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 = N(1 – 0.0004N), N(0) = 1. 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. 2498 X supermarkets By hand, sketch a solution curve of the given initial-value problem. N N N 1200 2500 2500 1000 2000 2000 800 1500 1500 600 1000 1000 400 200 500 500 5 10 15 20 5 10 15 20 5 10 15 20 N 1200 1000 800 600 400 200 5 10 15 20 (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 = 10? (Round your answer to the nearest integer.) supermarkets

The number N(t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value problem dN = N(1 – 0.0004N), N(0) = 1. 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. 2498 X supermarkets By hand, sketch a solution curve of the given initial-value problem. N N N 1200 2500 2500 1000 2000 2000 800 1500 1500 600 1000 1000 400 200 500 500 5 10 15 20 5 10 15 20 5 10 15 20 N 1200 1000 800 600 400 200 5 10 15 20 (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 = 10? (Round your answer to the nearest integer.) supermarkets

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 = N(1 dt 0.0004N), N(0) = 1. - (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. 2498 X supermarkets By hand, sketch a solution curve of the given initial-value problem. N N 2500 2500 1200 1000 2000 2000 800 1500 1500 600 1000 1000 400 500 500 200아 10 15 20 10 15 20 5 10 15 20 1200 1000 800 600 400 200아 5 10 15 20 (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 = 10? (Round your answer to the nearest integer.) supermarkets
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 = N(1 dt 0.0004N), N(0) = 1. - (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. 2498 X supermarkets By hand, sketch a solution curve of the given initial-value problem. N N 2500 2500 1200 1000 2000 2000 800 1500 1500 600 1000 1000 400 500 500 200아 10 15 20 10 15 20 5 10 15 20 1200 1000 800 600 400 200아 5 10 15 20 (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 = 10? (Round your answer to the nearest integer.) supermarkets
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