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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 1200 1000 800 600 400 200 N 1200 1000 800 600 400 = N(1 0.0004N), N(0) = 1. 200 N(t) = 5 5 10 10 15 15 20 20 t t N 2500 2000 1500 1000 DO 500 N 2500 2000 SU 1500 1000 500 t 20 @O 5 10 15 (b) Solve the initial-value problem and then use a graphing utility to verify the solution curve in part (a). How many supermarkets are expected to adopt the new technology when t = 10? (Round your answer to the nearest integer.) supermarkets 5 10 15 20 t

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 1200 1000 800 600 400 200 N 1200 1000 800 600 400 = N(1 0.0004N), N(0) = 1. 200 N(t) = 5 5 10 10 15 15 20 20 t t N 2500 2000 1500 1000 DO 500 N 2500 2000 SU 1500 1000 500 t 20 @O 5 10 15 (b) Solve the initial-value problem and then use a graphing utility to verify the solution curve in part (a). How many supermarkets are expected to adopt the new technology when t = 10? (Round your answer to the nearest integer.) supermarkets 5 10 15 20 t

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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. supermarkets By hand, sketch a solution curve of the given initial-value problem. N 2500 2500 1200 1000 2000 2000 800 1500 1500 600 1000 1000 400 500 500 200 10 15 20 10 15 20 10 15 20 N 1200 1000 800 600 400 200 t 20 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 = 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. supermarkets By hand, sketch a solution curve of the given initial-value problem. N 2500 2500 1200 1000 2000 2000 800 1500 1500 600 1000 1000 400 500 500 200 10 15 20 10 15 20 10 15 20 N 1200 1000 800 600 400 200 t 20 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 = 10? (Round your answer to the nearest integer.) supermarkets
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