Exam 10: Section 1: Conics, Parametric Equations, and Polar Coordinates

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Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola.

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Find the focus of the parabola given by Find the focus of the parabola given by   . .

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Find the center of the ellipse given by Find the center of the ellipse given by   . .

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Find the center, foci, and vertices of the hyperbola. Find the center, foci, and vertices of the hyperbola.

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Find the foci of the ellipse given by Find the foci of the ellipse given by   . .

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Suppose a cable of a suspension bridge is suspended (in the shape of a parabola) between two towers that are 240 meters apart and 40 meters above the roadway as shown in the figure given below. The cable touches the roadway midway between the towers. Find an equation for the parabolic shape of cable. Suppose a cable of a suspension bridge is suspended (in the shape of a parabola) between two towers that are 240 meters apart and 40 meters above the roadway as shown in the figure given below. The cable touches the roadway midway between the towers. Find an equation for the parabolic shape of cable.

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