Question 1

Find the length of the polar curve.

Accepted Answer

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

Question 2

Find the polar equation for the curve represented by the given Cartesian equation.

Accepted Answer

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

Question 3

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.

Accepted Answer

The answer of Find an equation of the tangent to...

Question 4

Match the parametric equations with the graphs labeled a-e.

Accepted Answer

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

Question 5

Write a polar equation of the conic that has a focus at the origin,eccentricity   ,and directrix   .Identify the conic.

Accepted Answer

A)    ,ellipse 
B)    ,ellipse 
C)    ,hyperbola 
D)    ,hyperbola 
A)    ,ellipse 
B)    ,ellipse 
C)    ,hyperbola 
D)    ,hyperbola

Question 6

Sketch the polar curve with the given equation.

Accepted Answer

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

Question 7

Find the point(s)on the curve where the tangent is horizontal.

Accepted Answer

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

Question 8

Find the area enclosed by the curve   .

Accepted Answer

The answer of Find the area enclosed by the curve...

Question 9

Select the curve by using the parametric equations to plot the points.

Accepted Answer

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

Question 10

Find a Cartesian equation for the curve described by the given polar equation.

Accepted Answer

The answer of Find a Cartesian equation for the curve...

Find the length of the polar curve.

Find the polar equation for the curve represented by the given Cartesian equation.

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.

Match the parametric equations with the graphs labeled a-e.

Write a polar equation of the conic that has a focus at the origin,eccentricity ,and directrix .Identify the conic.

Sketch the polar curve with the given equation.

Find the point(s)on the curve where the tangent is horizontal.

Find the area enclosed by the curve .

Select the curve by using the parametric equations to plot the points.

Find a Cartesian equation for the curve described by the given polar equation.

Functions and Limits

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Applications of Differentiation

Integrals

Techniques of Integration

Applications of Integration

Series

Ectors and the Geometry of Space

Partial Derivatives

Multiple Integrals

Vector Calculus

Filters

Exam 9: Parametric Equations and Polar Coordinates

Find the length of the polar curve.

Find the polar equation for the curve represented by the given Cartesian equation.

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.

Match the parametric equations with the graphs labeled a-e.

Write a polar equation of the conic that has a focus at the origin,eccentricity ,and directrix .Identify the conic.

Sketch the polar curve with the given equation.

Find the point(s)on the curve where the tangent is horizontal.

Find the area enclosed by the curve .

Select the curve by using the parametric equations to plot the points.

Find a Cartesian equation for the curve described by the given polar equation.

Functions and Limits

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Applications of Differentiation

Integrals

Techniques of Integration

Applications of Integration

Series

Ectors and the Geometry of Space

Partial Derivatives

Multiple Integrals

Vector Calculus

Filters