Electricity By using Kirchhoff’s Laws, it can be shown that the currents
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EBK ALGEBRA AND TRIGONOMETRY
- Verify 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_forwardUse Cramers Rule to solve the system of linear equations for x and y. kx+(1k)y=1(1k)x+ky=3 For what values of k will the system be inconsistent?arrow_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_forward
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