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The figure shows the flow of traffic (in vehicles per hour) through a network of streets. XI JA x2 X4 X3 X5 (a) Solve this system for x₁, i = 1, 2, ..., 5. (If the system has an infinite number of solutions, express X₁, X2, X3, X4, and xs in terms of the parameters s and t.) (X1, X2, X3, X4, X5) = 400 300 (b) Find the traffic flow when X3 = 0 and X5 = 60. (X1, X2, X3, X4, X5) = (c) Find the traffic flow when x3 = X5 = 60. (X1, X2, X3, X4, X5) = -600 - 100

The figure shows the flow of traffic (in vehicles per hour) through a network of streets. XI JA x2 X4 X3 X5 (a) Solve this system for x₁, i = 1, 2, ..., 5. (If the system has an infinite number of solutions, express X₁, X2, X3, X4, and xs in terms of the parameters s and t.) (X1, X2, X3, X4, X5) = 400 300 (b) Find the traffic flow when X3 = 0 and X5 = 60. (X1, X2, X3, X4, X5) = (c) Find the traffic flow when x3 = X5 = 60. (X1, X2, X3, X4, X5) = -600 - 100

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The figure shows the flow of traffic (in vehicles per hour) through a network of streets. X1 JA x2 X4 X3 X5 (a) Solve this system for x₁, i = 1, 2, ..., 5. (If the system has an infinite number of solutions, express X₁, X2, X3, X4, and x5 in terms of the parameters s and t.) (X1, X2, X3, X4, X5) = 400 300 (b) Find the traffic flow when X3 = 0 and X5 = 60. (X1, X2, X3, X4, X5) = (c) Find the traffic flow when X3 = X5 = 60. (X1, X2, X3, X4, X5) = -600 - 100
Transcribed Image Text:The figure shows the flow of traffic (in vehicles per hour) through a network of streets. X1 JA x2 X4 X3 X5 (a) Solve this system for x₁, i = 1, 2, ..., 5. (If the system has an infinite number of solutions, express X₁, X2, X3, X4, and x5 in terms of the parameters s and t.) (X1, X2, X3, X4, X5) = 400 300 (b) Find the traffic flow when X3 = 0 and X5 = 60. (X1, X2, X3, X4, X5) = (c) Find the traffic flow when X3 = X5 = 60. (X1, X2, X3, X4, X5) = -600 - 100
1. DETAILS LARLINALG8 2.2.057. Consider the following matrices. ×0 -0 -0 -0 Z = 4 W= (a) Find scalars a and b such that Z = ax + by. (a, b) = 4,- 1 (b) Do there exist scalars a and b such that W = ax + by? Yes O No (c) If ax + bY + CW = 0, is it true that a = b = c = 0? Yes No (d) Find scalars a, b, and c, not all equal to zero, such that ax + by + CZ = 0. (a, b, c) = 4,- 1
Transcribed Image Text:1. DETAILS LARLINALG8 2.2.057. Consider the following matrices. ×0 -0 -0 -0 Z = 4 W= (a) Find scalars a and b such that Z = ax + by. (a, b) = 4,- 1 (b) Do there exist scalars a and b such that W = ax + by? Yes O No (c) If ax + bY + CW = 0, is it true that a = b = c = 0? Yes No (d) Find scalars a, b, and c, not all equal to zero, such that ax + by + CZ = 0. (a, b, c) = 4,- 1
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