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Chapter 10: Q50. (page 677)
In Problems 43–52, identify the graph of each equation without applying a rotation of axes.
The equation defines parabola.
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Lightning Strikes Suppose that two people standing mile apart both see a flash of lightning. After a period of time, the first person standing at point hears the thunder. Two seconds later, the second person standing at point hears the thunder. If the person at point is due west of the person at point and if the lightning strike is known to occur due north of the person standing at point , where did the lightning strike occur?
In Problems 31– 42, rotate the axes so that the new equation contains no -term. Analyze and graph the new equation. Refer to Problems 21–30 for Problems 31– 40.
In Problem, identify the graph of each equation without completing the squares.
True or False
To eliminate the term from the equation , rotate the axes through an angle , where .
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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