Question 1

Graph the equation.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    C

Question 2

Find a rectangular form of the equation   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    D

Question 3

Use the definition of a hyperbola to find the equation of the hyperbola in standard form. foci (9, 0)and ( - 9, 0); passes through the point (9, 24)

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    A

Question 4

Find the center of the ellipse given by the equation   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

Find the vertices and foci of the ellipse given by the equation.

Accepted Answer

A) vertices:   , foci:   
B) vertices:   , foci:   
C) vertices:   , foci:   
D) vertices:   , foci:   
E) vertices:   , foci:   
A) vertices:   , foci:   
B) vertices:   , foci:   
C) vertices:   , foci:   
D) vertices:   , foci:   
E) vertices:   , foci:

Question 6

Use the eccentricity to find the equation of the hyperbola in standard form. vertices (1, 6)and (1, 4), eccentricity 2

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 7

Two radio transmitters are positioned along the coast, 250 miles apart. A signal is sent simultaneously from each transmitter. The signal from transmitter   is received by a ship s LORAN 300 microseconds after the ship receives the signal from   . The radio signals travel at 0.186 mile per microsecond.   If the ship is 200 miles east of the y-axis, determine its distance from the coastline (to the nearest mile).

Accepted Answer

A) 865 miles 
B) 1000 miles 
C) 459 miles 
D) 1406 miles 
E) 1541 miles 
A) 865 miles 
B) 1000 miles 
C) 459 miles 
D) 1406 miles 
E) 1541 miles

Question 8

Sketch the graph of the polar equation.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

Find the center, vertices, and foci of the ellipse given by the equation.

Accepted Answer

A) center:   , vertices:   , foci:   
B) center:   , vertices:   , foci:   
C) center:   , vertices:   , foci:   
D) center:   , vertices:   , foci:   
E) center:   , vertices:   , foci:   
A) center:   , vertices:   , foci:   
B) center:   , vertices:   , foci:   
C) center:   , vertices:   , foci:   
D) center:   , vertices:   , foci:   
E) center:   , vertices:   , foci:

Question 10

Graph the equation below.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 11

Find the equation in standard form of the ellipse, given the information provided. major axis of length 20, center at   ; ellipse passes through

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 12

Find the equation in standard form of the ellipse, given the information provided. vertices   , foci at

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 13

Sketch the graph of the polar equation.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

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

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 15

The surface area of a paraboloid with radius r and depth d is given by   . The antenna of a radio telescope is a paraboloid measuring 89 feet across with a depth of 18 feet. Approximate (to the nearest 100 square feet)the surface area of the radio telescope.

Accepted Answer

A) 13,300 ft2 
B) 7100 ft2 
C) 1600 ft2 
D) 25,900 ft2 
E) 7600 ft2 
A) 13,300 ft2 
B) 7100 ft2 
C) 1600 ft2 
D) 25,900 ft2 
E) 7600 ft2

Question 16

Graph the equation below.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

Use the eccentricity of the ellipse to find its equation in standard form. eccentricity   , foci at

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 18

Graph the equation.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

The Lovell Telescope is a radio telescope located at the Jodrell Bank Observatory in Cheshire, England. The dish of the telescope has the shape of a paraboloid with a diameter of 240 feet. The distance from the vertex of the dish to its focus is 85 feet. The surface area of a paraboloid with radius r and depth d is given by   . Approximate (to the nearest 100 square feet)the surface area of the radio telescope.

Accepted Answer

A) 118,900 ft2 
B) 63,300 ft2 
C) 50,500 ft2 
D) 186,500 ft2 
E) 50,500 ft2. 
A) 118,900 ft2 
B) 63,300 ft2 
C) 50,500 ft2 
D) 186,500 ft2 
E) 50,500 ft2.

Question 20

Transform the given coordinates to the indicated ordered pair.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Graph the equation.

Find a rectangular form of the equation .

Use the definition of a hyperbola to find the equation of the hyperbola in standard form. foci (9, 0)and ( - 9, 0); passes through the point (9, 24)

Find the center of the ellipse given by the equation .

Find the vertices and foci of the ellipse given by the equation.

Use the eccentricity to find the equation of the hyperbola in standard form. vertices (1, 6)and (1, 4), eccentricity 2

Sketch the graph of the polar equation.

Find the center, vertices, and foci of the ellipse given by the equation.

Graph the equation below.

Find the equation in standard form of the ellipse, given the information provided. major axis of length 20, center at ; ellipse passes through

Find the equation in standard form of the ellipse, given the information provided. vertices , foci at

Sketch the graph of the polar equation.

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

The surface area of a paraboloid with radius r and depth d is given by . The antenna of a radio telescope is a paraboloid measuring 89 feet across with a depth of 18 feet. Approximate (to the nearest 100 square feet)the surface area of the radio telescope.

Graph the equation below.

Use the eccentricity of the ellipse to find its equation in standard form. eccentricity , foci at

Graph the equation.

Transform the given coordinates to the indicated ordered pair.

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Exam 8: Topics in Analytic Geometry

Graph the equation.

Find a rectangular form of the equation .

Use the definition of a hyperbola to find the equation of the hyperbola in standard form. foci (9, 0)and ( - 9, 0); passes through the point (9, 24)

Find the center of the ellipse given by the equation .

Find the vertices and foci of the ellipse given by the equation.

Use the eccentricity to find the equation of the hyperbola in standard form. vertices (1, 6)and (1, 4), eccentricity 2

Sketch the graph of the polar equation.

Find the center, vertices, and foci of the ellipse given by the equation.

Graph the equation below.

Find the equation in standard form of the ellipse, given the information provided. major axis of length 20, center at ; ellipse passes through

Find the equation in standard form of the ellipse, given the information provided. vertices , foci at

Sketch the graph of the polar equation.

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

The surface area of a paraboloid with radius r and depth d is given by . The antenna of a radio telescope is a paraboloid measuring 89 feet across with a depth of 18 feet. Approximate (to the nearest 100 square feet)the surface area of the radio telescope.

Graph the equation below.

Use the eccentricity of the ellipse to find its equation in standard form. eccentricity , foci at

Graph the equation.

Transform the given coordinates to the indicated ordered pair.

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Trigonometric Identities and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices

Sequences, Series, and Probability

Preliminary Concepts

Filters