Question 1

Identify any points at which the Folium of Descartes   is not smooth.Round your answer to two decimal places, if necessary.

Accepted Answer

A) not smooth when   
B) not smooth when   
C) not smooth when   
D) smooth everywhere 
E) not smooth when   
A) not smooth when   
B) not smooth when   
C) not smooth when   
D) smooth everywhere 
E) not smooth when   D

Question 2

Use the result, "the set of parametric equations for the ellipse is   to find a set of parametric equations for the ellipse with vertices   and   and with foci at   and

Accepted Answer

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

Question 3

Use the result, "the set of parametric equations for the circle is   to find a set of parametric equations for the circle with a center   and radius

Accepted Answer

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

Question 4

Sketch the curve represented by the parametric equations

Accepted Answer

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

Question 5

Match the equation with its graph.

Accepted Answer

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

Question 6

Find a set of parametric equations for the rectangular equation   that satisfies the condition   at the point

Accepted Answer

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

Question 7

Sketch the curve represented by the parametric equations

Accepted Answer

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

Question 8

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)    
A)    
B)    
C)    
D)    
E)

Question 9

Find a set of parametric equations for the rectangular equation

Accepted Answer

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

Question 10

Find the center of the ellipse given by

Accepted Answer

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

Question 11

Find the foci of the ellipse given by

Accepted Answer

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

Question 12

Find a set of parametric equations for the rectangular equation   that satisfies the condition   at the point

Accepted Answer

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

Question 13

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 14

Match the equation with its graph.

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

The parametric equations for the path of a projectile launched at a height   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 3 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.Find the
Minimum angle at which the ball must leave the bat in order for the hit to be a home run using the
Parametric equations   Round your answer to one
Decimal place.

Accepted Answer

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

Question 17

Use the result, "the set of parametric equations for the line passing through   and   to find a set of parametric equations for the line passing through

Accepted Answer

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

Question 18

Identify any points at which the cycloid   is not smooth.

Accepted Answer

A) not smooth when   
B) smooth everywhere 
C) not smooth when   
D) not smooth when   
E) not smooth when   
A) not smooth when   
B) smooth everywhere 
C) not smooth when   
D) not smooth when   
E) not smooth when

Question 19

Find the center, foci, vertices, and eccentricity of the ellipse.

Accepted Answer

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

Question 20

Find an equation of the parabola with vertex   and directrix

Accepted Answer

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

Identify any points at which the Folium of Descartes is not smooth.Round your answer to two decimal places, if necessary.

Use the result, "the set of parametric equations for the ellipse is to find a set of parametric equations for the ellipse with vertices and and with foci at and

Use the result, "the set of parametric equations for the circle is to find a set of parametric equations for the circle with a center and radius

Sketch the curve represented by the parametric equations

Match the equation with its graph.

Find a set of parametric equations for the rectangular equation that satisfies the condition at the point

Sketch the curve represented by the parametric equations

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

Find a set of parametric equations for the rectangular equation

Find the center of the ellipse given by

Find the foci of the ellipse given by

Find a set of parametric equations for the rectangular equation that satisfies the condition at the point

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

Match the equation with its graph.

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

Use the result, "the set of parametric equations for the line passing through and to find a set of parametric equations for the line passing through

Identify any points at which the cycloid is not smooth.

Find the center, foci, vertices, and eccentricity of the ellipse.

Find an equation of the parabola with vertex and directrix

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

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Exam 10: Conics, Parametric Equations, and Polar Coordinates

Identify any points at which the Folium of Descartes is not smooth.Round your answer to two decimal places, if necessary.

Use the result, "the set of parametric equations for the ellipse is to find a set of parametric equations for the ellipse with vertices and and with foci at and

Use the result, "the set of parametric equations for the circle is to find a set of parametric equations for the circle with a center and radius

Sketch the curve represented by the parametric equations

Match the equation with its graph.

Find a set of parametric equations for the rectangular equation that satisfies the condition at the point

Sketch the curve represented by the parametric equations

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

Find a set of parametric equations for the rectangular equation

Find the center of the ellipse given by

Find the foci of the ellipse given by

Find a set of parametric equations for the rectangular equation that satisfies the condition at the point

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

Match the equation with its graph.

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

Use the result, "the set of parametric equations for the line passing through and to find a set of parametric equations for the line passing through

Identify any points at which the cycloid is not smooth.

Find the center, foci, vertices, and eccentricity of the ellipse.

Find an equation of the parabola with vertex and directrix

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