please send solution for part a only handwritten solution accepted

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 3CC
icon
Related questions
Question
please send solution for part a only handwritten solution accepted
1. Consider a network of pipes at an oil refinery. The diagram below shows the flow rates and
direction of flow of hydrocarbons in each pipe, with unknown flow rates 1, 12, 3; 1 *5 and ag
(all r, 2 0).
200
150
200
25
X5
175
(a) Derive the equations to be solved for the unknown flow rates and write the system as an
augmented matrix.
(b) By reducing the augmented matrix in part (a) to reduced row-echelon form, determine the
unknown flow rates in the pipe network. Indicate which row operations you have used.
(c) Suppose that two of the pipes become blocked so that r3 = 0 and x, = 0. Determine the
flow rates in the remaining pipes. Justify your answer.
Transcribed Image Text:1. Consider a network of pipes at an oil refinery. The diagram below shows the flow rates and direction of flow of hydrocarbons in each pipe, with unknown flow rates 1, 12, 3; 1 *5 and ag (all r, 2 0). 200 150 200 25 X5 175 (a) Derive the equations to be solved for the unknown flow rates and write the system as an augmented matrix. (b) By reducing the augmented matrix in part (a) to reduced row-echelon form, determine the unknown flow rates in the pipe network. Indicate which row operations you have used. (c) Suppose that two of the pipes become blocked so that r3 = 0 and x, = 0. Determine the flow rates in the remaining pipes. Justify your answer.
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning