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7. DETAILS 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 -0.0002N), 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. supermarkets By hand, sketch a solution curve of the given initial-value problem. N 5000 4000 CIUU 3000 2000 1000 20 N 2500 2000 O 1500 1000 ZILLDIFFEQMODAP11 3.2.001. 500 5 Submit Answer 10 15 20 N 5000H 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.) supermarkets 5 10 15 20 N 2500 2000 1500 1000 500 5 10 15 t 20 MY NOTES ASK YOUR TE

7. DETAILS 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 -0.0002N), 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. supermarkets By hand, sketch a solution curve of the given initial-value problem. N 5000 4000 CIUU 3000 2000 1000 20 N 2500 2000 O 1500 1000 ZILLDIFFEQMODAP11 3.2.001. 500 5 Submit Answer 10 15 20 N 5000H 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.) supermarkets 5 10 15 20 N 2500 2000 1500 1000 500 5 10 15 t 20 MY NOTES ASK YOUR TE

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 15EQ
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Differential Equations

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Content Covered:

- Exponential Growth/Decay

- Newton's Law of Cooling -

Application:Higher Order LDE (Undamped Mechanical Vibration) -

DE Application: Mixture Problem

- DE Application: Electric Circuits

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7. ZILLDIFFEQMODAP11 3.2.001. 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 DETAILS 2500 2000 1500 1000 500 = N(1 - 0.0002N), N(0) = 1. 5 Submit Answer N 5000 H 4000 JUL 3000 2000 1000 O 5 10 15 20 t N 5000 4000 3000 2000 1000 DO 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) = 20 t How many supermarkets are expected to adopt the new technology when t = 15? (Round your answer to the nearest integer.) supermarkets 10 15 20 t O N 2500 H 2000 1500 1000 500 5 10 15 20 t MY NOTES ASK YOUR TEAC
Transcribed Image Text:7. ZILLDIFFEQMODAP11 3.2.001. 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 DETAILS 2500 2000 1500 1000 500 = N(1 - 0.0002N), N(0) = 1. 5 Submit Answer N 5000 H 4000 JUL 3000 2000 1000 O 5 10 15 20 t N 5000 4000 3000 2000 1000 DO 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) = 20 t How many supermarkets are expected to adopt the new technology when t = 15? (Round your answer to the nearest integer.) supermarkets 10 15 20 t O N 2500 H 2000 1500 1000 500 5 10 15 20 t MY NOTES ASK YOUR TEAC
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