Is it possible to determine the number of vehicles on each street per hour?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
  1. The traffic through downtown East Podunk flows through the one-way system shown below. Traffic counters find that 400 vehicles enter town from the west each hour and 400 leave town toward the east each hour. Also, 50 cars drive down Canal Street each hour. Write down the general solution of the associated system of linear equations. Is it possible to determine the number of vehicles on each street per hour?

a=400, b=50, c=400

 

 

 

 

The traffic through downtown East Podunk flows through the one-way system shown
below. Traffic counters find that 400 vehicles enter town from the west each hour
and 400 leave town toward the east each hour. Also, 50 cars drive down Canal Street
each hour. Write down the general solution of the associated system of linear
equations. Is it possible to determine the number of vehicles on each street per
hour?
Аpril
Division
a
Broadway
Embankment
a=400, b=50, c=400.
а.
x = 400 - w
y = 450- w
z = 50+w
50<w < 400
b.
x = 450- w
y = 400 - w
z = - 50+w
50 <w < 400
Canal o
Transcribed Image Text:The traffic through downtown East Podunk flows through the one-way system shown below. Traffic counters find that 400 vehicles enter town from the west each hour and 400 leave town toward the east each hour. Also, 50 cars drive down Canal Street each hour. Write down the general solution of the associated system of linear equations. Is it possible to determine the number of vehicles on each street per hour? Аpril Division a Broadway Embankment a=400, b=50, c=400. а. x = 400 - w y = 450- w z = 50+w 50<w < 400 b. x = 450- w y = 400 - w z = - 50+w 50 <w < 400 Canal o
с.
x = 470- w
y = 390 - w
z = - 80+w
80 <w <390
d
x = 390-w
y = 470-w
z = 80+w
80 <w <390
е.
x = 390 - w
y = 470- w
z = 80+w
80 <w < 390
Transcribed Image Text:с. x = 470- w y = 390 - w z = - 80+w 80 <w <390 d x = 390-w y = 470-w z = 80+w 80 <w <390 е. x = 390 - w y = 470- w z = 80+w 80 <w < 390
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