Skills and Applications
Fitting a Parabola One way to find the least squares regression parabola
In Exercises
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Precalculus (MindTap Course List)
- APPLICATIONS 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_forwardFinding intersection points graphically two equations and their graphs are given. Find the interaction point(s) of the graphs by solving the system. {x2+y2=4xx=y2}arrow_forwardElimination method Use the elimination method to fins all solutions of the system of equations. {3x2y2=11x2+42=8}arrow_forward
- Substitutions method Use the substitution method to find all solutions of the system of equations. {y=x2y=x+12}arrow_forwardCAPSTONE Find values of a, b, and c such that the system of linear equations has a exactly one solution, b infinitely many solutions, and c no solution. Explain. x+5y+z=0x+6yz=02x+ay+bz=carrow_forwardLinear System with One Solution The system of linear equation has a unique solution. Find the solution using Gaussian elimination or Gauss-Jordan elimination. {2y+z=4x+y=43x+3yz=10arrow_forward
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