Chapter 10: Q45. (page 677)
In Problems 43–52, identify the graph of each equation without applying a rotation of axes.
Short Answer
The equation defines hyperbola.
Chapter 10: Q45. (page 677)
In Problems 43–52, identify the graph of each equation without applying a rotation of axes.
The equation defines hyperbola.
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Get started for freeSemi elliptical Arch Bridge The arch of a bridge is a semi ellipse with a horizontal major axis. The span is feet, and the top of the arch is feet above the major axis. The roadway is horizontal and is feet above the top of the arch. Find the vertical distance from the roadway to the arch at -foot intervals along the roadway.
Graph each function.
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Find the intercepts of the equation .
In Problems 31– 42, rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation. Refer to Problems 21–30 for Problems 31– 40.
Semi elliptical Arch Bridge: A bridge is built in the shape of a semi elliptical arch. The bridge has a span of feet and a
maximum height of feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances
of and feet from the center.
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