Question 1

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

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Question 2

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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Question 3

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

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Question 4

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

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Question 5

Find the eccentricity.

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Question 6

Find a polar equation of the conic with focus at the pole that has the eccentricity and equation of directrix.

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Question 7

Find the foci of the ellipse.

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Question 8

Find a polar equation in r and   of the parabola with focus at the pole and the given vertex.

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Question 9

Find an equation for the indicated half of the parabola.

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Question 10

Sketch the graph of the polar equation

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Question 11

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

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Question 12

Shown in the figure is the Lissajous figure given by   Find the period of the figure - that is, the length of the smallest t-interval that traces the curve.

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Question 13

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 ( 5, 8 )

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Question 14

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

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Question 15

Find an equation for the ellipse shown in the figure.

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Question 16

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

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Question 17

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

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Question 18

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

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Question 19

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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Question 20

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

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

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 )

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

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

Find the eccentricity.

Find a polar equation of the conic with focus at the pole that has the eccentricity and equation of directrix.

Find the foci of the ellipse.

Find a polar equation in r and of the parabola with focus at the pole and the given vertex.

Find an equation for the indicated half of the parabola.

Sketch the graph of the polar equation

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

Shown in the figure is the Lissajous figure given by Find the period of the figure - that is, the length of the smallest t-interval that traces the curve.

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 ( 5, 8 )

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

Find an equation for the ellipse shown in the figure.

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

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

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

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

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

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

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 )

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

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

Find the eccentricity.

Find a polar equation of the conic with focus at the pole that has the eccentricity and equation of directrix.

Find the foci of the ellipse.

Find a polar equation in r and of the parabola with focus at the pole and the given vertex.

Find an equation for the indicated half of the parabola.

Sketch the graph of the polar equation

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

Shown in the figure is the Lissajous figure given by Find the period of the figure - that is, the length of the smallest t-interval that traces the curve.

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 ( 5, 8 )

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

Find an equation for the ellipse shown in the figure.

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

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

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

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

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

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