Question 1

Find an equation for the indicated half of the parabola.

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Question 2

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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Question 3

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

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Question 4

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

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Question 5

Find a polar equation in r and   that has the same graph as the equation in x and y.

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Question 6

Find an equation in x and y for the polar equation.

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Question 7

Find a polar equation in r and   that has the same graph as the equation in x and y.

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Question 8

Find an equation for the parabola that has a horizontal axis and passes through the given points.

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Question 9

Find the eccentricity.

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Question 10

Find the foci of the ellipse.

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Question 11

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

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Question 12

Find the foci of the ellipse.

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Question 13

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

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Question 14

Find an equation for the parabola that has a horizontal axis and passes through the given points.

Accepted Answer

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Question 15

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

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Question 16

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

Accepted Answer

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Question 17

Sketch the graph of the ellipse, showing the foci .

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Question 18

Find the foci of the ellipse.

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Question 19

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

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Question 20

Find an equation for the set of points in an xy-plane that are equidistant from the point P and the line l.

Accepted Answer

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Find an equation for the indicated half of the parabola.

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.

Find a polar equation in r and that has the same graph as the equation in x and y.

Find an equation in x and y for the polar equation.

Find a polar equation in r and that has the same graph as the equation in x and y.

Find an equation for the parabola that has a horizontal axis and passes through the given points.

Find the eccentricity.

Find the foci of the ellipse.

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

Find the foci of the ellipse.

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

Find an equation for the parabola that has a horizontal axis and passes through the given points.

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

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

Sketch the graph of the ellipse, showing the foci .

Find the foci of the ellipse.

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

Find an equation for the set of points in an xy-plane that are equidistant from the point P and the line l.

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

The Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series and Probability

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Exam 11: Topics From Analytic Geometry

Find an equation for the indicated half of the parabola.

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.

Find a polar equation in r and that has the same graph as the equation in x and y.

Find an equation in x and y for the polar equation.

Find a polar equation in r and that has the same graph as the equation in x and y.

Find an equation for the parabola that has a horizontal axis and passes through the given points.

Find the eccentricity.

Find the foci of the ellipse.

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

Find the foci of the ellipse.

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

Find an equation for the parabola that has a horizontal axis and passes through the given points.

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

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

Sketch the graph of the ellipse, showing the foci .

Find the foci of the ellipse.

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

Find an equation for the set of points in an xy-plane that are equidistant from the point P and the line l.

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

The Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series and Probability

Filters