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Electrical Network Applying Kirchhoff’s Laws to the electrical network in the figure, the currents
Find the currents.
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Chapter 6 Solutions
EBK COLLEGE ALGEBRA
- The 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_forwardNetwork Analysis Determine the currents I1,I2, and I3 for the electrical network shown in the figure.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
- Writing 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_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=1,2,3,4. 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_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
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