Question 1

Match the equation with its graph.

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Question 2

Find the vertex of the parabola given by

Accepted Answer

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

Question 3

Find the directrix of the parabola given by

Accepted Answer

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

Question 4

Sketch the curve represented by the parametric equations, and write the corresponding rectangular equation by eliminating the parameter.

Accepted Answer

A)    
B)    
C)    
D)    
E) none of the above 
A)    
B)    
C)    
D)    
E) none of the above

Question 5

Find the vertex, focus, and directrix of the parabola and sketch its graph.

Accepted Answer

A) vertex:   ; focus:   directrix 
B) vertex:   ; focus:   directrix 
C) vertex:   focus:   directrix x = 3   
D) vertex:   ; focus:   directrix x = -1 x = 3     
E) vertex:   ; focus:   directrix x = 1 x = -1     
A) vertex:   ; focus:   directrix 
B) vertex:   ; focus:   directrix 
C) vertex:   focus:   directrix x = 3   
D) vertex:   ; focus:   directrix x = -1 x = 3     
E) vertex:   ; focus:   directrix x = 1 x = -1

Question 6

Match the equation with its graph.

Accepted Answer

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

Question 7

The parametric equations for the path of a projectile launched at a height h feet above the ground, at an angle   with the horizontal and having an initial velocity of   feet per second is
Given by   .The center field fence in a ballpark is   feet
High and   feet from home plate.The ball is hit 2 feet above the ground.It leaves the bat at an angle
Of   degrees with the horizontal at a speed of 100 miles per hour as shown in the figure.Write a set
Of parametric equations for the path of the ball.

Accepted Answer

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

Question 8

Find the focus of the parabola given by

Accepted Answer

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

Question 9

Write the corresponding rectangular equation for the curve represented by the parametric equations   by eliminating the parameter.

Accepted Answer

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

Question 10

Find the eccentricity of the ellipse given by

Accepted Answer

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

Match the equation with its graph.

Find the vertex of the parabola given by

Find the directrix of the parabola given by

Sketch the curve represented by the parametric equations, and write the corresponding rectangular equation by eliminating the parameter.

Find the vertex, focus, and directrix of the parabola and sketch its graph.

Match the equation with its graph.

Find the focus of the parabola given by

Write the corresponding rectangular equation for the curve represented by the parametric equations by eliminating the parameter.

Find the eccentricity of the ellipse given by

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

Filters

Exam 10: Conics, Parametric Equations, and Polar Coordinates

Match the equation with its graph.

Find the vertex of the parabola given by

Find the directrix of the parabola given by

Sketch the curve represented by the parametric equations, and write the corresponding rectangular equation by eliminating the parameter.

Find the vertex, focus, and directrix of the parabola and sketch its graph.

Match the equation with its graph.

Find the focus of the parabola given by

Write the corresponding rectangular equation for the curve represented by the parametric equations by eliminating the parameter.

Find the eccentricity of the ellipse given by

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

Filters