![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_largeCoverImage.gif)
Electrical Network Applying Kirchhoff’s Laws to the electrical network in the figure, the currents
Find the currents.
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 6 Solutions
College Algebra
- Electricity By using Kirchhoffs Laws, it can be shown that the currents I1, I2 and I3 that pass through the three branches of the circuit in the figure satisfy the given linear system. Solve the system to find I1, I2 and I3. {I1+I2I3=016I18I2=48I2+4I3=5arrow_forwardThe Arch of a Bridge The opening of a railway bridge over a roadway is in the shape of a parabola. A surveyor measures the heights of three points on the bridge, as shown in the figure. He wishes to find an equation of the form y=ax2+bx+c to model the shape of the arch. Use the surveyed points to set up a system of linear equations for the unknown coefficients a, b, and c. Solve the system using Cramer’s Rule.arrow_forwardCircuit Analysis: Consider the circuit shown in the figure. The currents I1, I2, and I3 (in amperes) are the solution of the system 4I1+8I3=22I2+8I3=6I1+I2I3=0. Use Cramer’s Rule to find the three currents.arrow_forward
- Network Analysis Water is flowing through a network of pipes in thousands of cubic meters per hour, as shown in figure. a Solve this system for the water flow represented by xii=1,2,...,7. b Find the water flow when x1=x2=100. c Find the water flow when x6=x7=0. d Find the water flow when x5=1000 and x6=0.arrow_forwardNetwork Analysis The figure shows the flow of traffic in vehicles per hour through a network of streets. a Solve this system for xi,i=1,2,...,5. b Find the traffic flow when x2=200 and x3=50. c Find the traffic flow when x2=150 and x3=0.arrow_forwardVerify the system of linear equations in cosA, cosB, and cosC for the triangle shown. ccosB+bcosC=accosA+acosC=bbcosA+acosB=c Then use Cramers Rule to solve for cosC, and use the result to verify the Law of Cosines, c2=a2+b22abcosC.arrow_forward
- Network Analysis The figure shows the flow of traffic in vehicles per hour through a network of streets. a Solve this system for xi,i=1,2,3,4. b Find the traffic flow when x4=0. c Find the traffic flow when x4=100. d Find the traffic flow when x1=2x2.arrow_forwardWriting Let x be a solution to mn homogeneous linear system of equations Ax=0. Explain why x is orthogonal to the row vectors of A.arrow_forwardAPPLICATIONS The Arch of a BridgeThe opening of a railway bridge over a roadway is in the shape of a parabola. A surveyor measures the heights of the three points on the bridge, as shown in the figure. He wishes to find an equation of the form y=ax2+bx+c to model the shape of the arch. a Use the surveyed points to set up a system of linear equations for the unknown coefficients a, b and c. b Solve the system using Cramers Rule.arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305071742/9781305071742_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)