Question 1

Find the arc length of the given curve.

Accepted Answer

A)  9 
B)  24 
C)    
D)    
A)  9 
B)  24 
C)    
D)

Question 2

Sketch the graph of the polar equation. (Find a corresponding x-y equation if it helps.)

Accepted Answer

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

Question 3

Find the arc length of the curve. Approximate numerically, if needed.

Accepted Answer

A)  7.667 
B)  6.787 
C)  3.005 
D)  8.445 
A)  7.667 
B)  6.787 
C)  3.005 
D)  8.445

Question 4

Which graph below corresponds to the given parametric equations?

Accepted Answer

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

Question 5

Sketch the plane curve defined by the given parametric equations.

Accepted Answer

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

Question 6

Find a polar equation corresponding to the given rectangular equation.

Accepted Answer

A)    
B)    
C)  r = 3 
D)    
A)    
B)    
C)  r = 3 
D)

Question 7

Find the area enclosed by the given curve.

Accepted Answer

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

Question 8

Identify all points at which the curve has a vertical tangent.

Accepted Answer

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

Question 9

Find an equation for the conic section with the given properties. All points equidistant from the point (6, 7) and the line y = 1

Accepted Answer

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

Find the arc length of the given curve.

Sketch the graph of the polar equation. (Find a corresponding x-y equation if it helps.)

Find the arc length of the curve. Approximate numerically, if needed.

Which graph below corresponds to the given parametric equations?

Sketch the plane curve defined by the given parametric equations.

Find a polar equation corresponding to the given rectangular equation.

Find the area enclosed by the given curve.

Identify all points at which the curve has a vertical tangent.

Find an equation for the conic section with the given properties. All points equidistant from the point (6, 7) and the line y = 1

Preliminaries

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Integration Techniques

First-Order Differential Equations

Infinite Series

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables and Partial Differentiation

Multiple Integrals

Vector Calculus

Second Order Differential Equations

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Exam 10: Parametric Equations and Polar Coordinates

Find the arc length of the given curve.

Sketch the graph of the polar equation. (Find a corresponding x-y equation if it helps.)

Find the arc length of the curve. Approximate numerically, if needed.

Which graph below corresponds to the given parametric equations?

Sketch the plane curve defined by the given parametric equations.

Find a polar equation corresponding to the given rectangular equation.

Find the area enclosed by the given curve.

Identify all points at which the curve has a vertical tangent.

Find an equation for the conic section with the given properties. All points equidistant from the point (6, 7) and the line y = 1

Preliminaries

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Integration Techniques

First-Order Differential Equations

Infinite Series

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables and Partial Differentiation

Multiple Integrals

Vector Calculus

Second Order Differential Equations

Filters