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Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C. -1 t 1

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Find an equation of the parabola that satisfies the condition. Focus , directrix

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A

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Find an equation of the parabola that satisfies the given conditions. Vertex at the origin, symmetric to the y-axis, and passing through the point ( 4, 7 )

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Find an equation for the set of points in an xy-plane such that the difference of the distances from F and F ' is k.

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Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C, and indicate the orientation. t in

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Find the vertices, the foci, and the equations of the asymptotes of the hyperbola.

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Find an equation for the ellipse that has its center at the origin and satisfies the conditions.

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Find the vertices, the foci, and the equations of the asymptotes of the hyperbola.

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Find the vertices, the foci, and the equations of the asymptotes of the hyperbola.

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Find an equation of the parabola that satisfies the condition. Vertex , focus

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Find an equation for the set of points in an xy-plane such that the sum of the distances from and is .

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The parametric equations specify the position of a moving point P ( x, y ) at time t. Sketch the graph.

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Lissajous figures are used in the study of electrical circuits to determine the phase difference between a known voltage and an unknown voltage having the same frequency. The voltages are graphed parametrically as and . If is acute, then where y

_{ }_{int}_{ }is the nonnegative y -intercept and y_{ max }is the maximum y-value on the curve. Graph the parametric curve and use the graph to approximate in degrees if Multiple Choice

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Find an equation in x and y whose graph contains the points on the curve C.

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Find an equation for the hyperbola that has its center at the origin and satisfies the given conditions.

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Find an equation of the parabola that satisfies the condition. Vertex , directrix

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