Algebra and Trigonometry

Mathematics

Quiz 11 :

Topics From Analytic Geometry

Quiz 11 :

Topics From Analytic Geometry

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Find an equation for the parabola shown in the figure. img
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B

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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. img -1 img t img 1
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D

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Find an equation of the parabola that satisfies the condition. Focus img , directrix img
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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. img
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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. img t in img
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Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. img
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Find an equation for the ellipse that has its center at the origin and satisfies the conditions. img
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Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. img
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Find an equation for the indicated half of the parabola. img
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Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. img
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Find an equation of the parabola that satisfies the condition. Vertex img , focus img
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Find an equation for the set of points in an xy-plane such that the sum of the distances from img and img is img . img
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The parametric equations specify the position of a moving point P ( x, y ) at time t. Sketch the graph. img
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Lissajous figures are used in the study of electrical circuits to determine the phase difference img between a known voltage img and an unknown voltage img having the same frequency. The voltages are graphed parametrically as img and img . If img is acute, then img 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 img in degrees if img
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Find an equation in x and y whose graph contains the points on the curve C. img
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Find an equation for the hyperbola that has its center at the origin and satisfies the given conditions. img
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Change the rectangular coordinates img to polar coordinates with img and img .
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Find an equation for the indicated half of the parabola. img
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Find an equation of the parabola that satisfies the condition. Vertex img , directrix img
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