Question 1

Convert the following equation to polar coordinates.

Accepted Answer

The answer of Convert the following equation to polar coordinates....

Question 2

Express the given curve in polar coordinates.

Accepted Answer

The answer of Express the given curve in polar coordinates....

Question 3

Graph the parametric equation x =   , y = 4 sin t .

Accepted Answer

The answer of Graph the parametric equation x = ...

Question 4

State the name that describes the polar curve most precisely.

Accepted Answer

A)  cardioid 
B)  lemniscate 
C)  rose 
D)  spiral 
E)  line 
A)  cardioid 
B)  lemniscate 
C)  rose 
D)  spiral 
E)  line

Question 5

Determine the rotation angle that will eliminate the xy-term.

Accepted Answer

The answer of Determine the rotation angle that will eliminate...

Question 6

Find the foci of   .

Accepted Answer

The answer of Find the foci of   ....

Question 7

Find the ends of the major axis of the ellipse   in the x'y'-coordinate system.

Accepted Answer

The answer of Find the ends of the major axis...

Question 8

For the parametric curve: x = 3t - 2, y = 12t + 4, eliminate the parameter and express in rectangular form.

Accepted Answer

The answer of For the parametric curve: x = 3t...

Question 9

Find the area bounded by     and   in the first quandrant.

Accepted Answer

A)    
B)    
C)    
D)  3   
E)  9.42   
A)    
B)    
C)    
D)  3   
E)  9.42

Question 10

Find   if

Accepted Answer

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

Question 11

Find the equation of the hyperbola with foci   and vertices   units apart.

Accepted Answer

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

Question 12

Find the rectangular coordinates of the point whose polar coordinates are given.

Accepted Answer

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

Question 13

Find the area outside the circle   and inside the cardioid   .

Accepted Answer

A)  7   
B)    
C)    
D)    
E)  18.84   
A)  7   
B)    
C)    
D)    
E)  18.84

Question 14

Graph the parametric equation   ,   .

Accepted Answer

The answer of Graph the parametric equation   ,...

Question 15

Identify the conic section represented by   .

Accepted Answer

A)  parabola 
B)  hyperbola 
C)  ellipse 
D)  circle 
E)  not a conic section 
A)  parabola 
B)  hyperbola 
C)  ellipse 
D)  circle 
E)  not a conic section

Question 16

Find the arclength of the curve   .

Accepted Answer

The answer of Find the arclength of the curve ...

Question 17

Find the equation of the ellipse with a major axis length of   , a minor axis length of   , center at (0, 0), and foci on the x-axis.

Accepted Answer

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

Question 18

Find the equation of the hyperbola with foci   and vertices   units apart.

Accepted Answer

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

Question 19

Determine the shape of the curve   by eliminating the parameter F$\theta$  and label the direction of increasing $\theta$ .

Accepted Answer

@#IMG-DLM& and sin @#LAT-DLM&

Question 20

Find all points on the circle   where the tangent line is vertical.

Accepted Answer

@#IMG-DLM& where n i

Convert the following equation to polar coordinates.

Express the given curve in polar coordinates.

Graph the parametric equation x = , y = 4 sin t .

State the name that describes the polar curve most precisely.

Determine the rotation angle that will eliminate the xy-term.

Find the foci of .

Find the ends of the major axis of the ellipse in the x'y'-coordinate system.

For the parametric curve: x = 3t - 2, y = 12t + 4, eliminate the parameter and express in rectangular form.

Find the area bounded by and in the first quandrant.

Find if

Find the equation of the hyperbola with foci and vertices units apart.

Find the rectangular coordinates of the point whose polar coordinates are given.

Find the area outside the circle and inside the cardioid .

Graph the parametric equation , .

Identify the conic section represented by .

Find the arclength of the curve .

Find the equation of the ellipse with a major axis length of , a minor axis length of , center at (0, 0), and foci on the x-axis.

Find the equation of the hyperbola with foci and vertices units apart.

Determine the shape of the curve $Determine the shape of the curve by eliminating the parameter F \theta and label the direction of increasing \theta .$ by eliminating the parameter F $\theta$ and label the direction of increasing $\theta$ .

Find all points on the circle where the tangent line is vertical.

Limits and Continuity

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Infinte Series

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

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Exam 10: Parametric and Polar Curves; Conic Sections

Convert the following equation to polar coordinates.

Express the given curve in polar coordinates.

Graph the parametric equation x = , y = 4 sin t .

State the name that describes the polar curve most precisely.

Determine the rotation angle that will eliminate the xy-term.

Find the foci of .

Find the ends of the major axis of the ellipse in the x'y'-coordinate system.

For the parametric curve: x = 3t - 2, y = 12t + 4, eliminate the parameter and express in rectangular form.

Find the area bounded by and in the first quandrant.

Find if

Find the equation of the hyperbola with foci and vertices units apart.

Find the rectangular coordinates of the point whose polar coordinates are given.

Find the area outside the circle and inside the cardioid .

Graph the parametric equation , .

Identify the conic section represented by .

Find the arclength of the curve .

Find the equation of the ellipse with a major axis length of , a minor axis length of , center at (0, 0), and foci on the x-axis.

Find the equation of the hyperbola with foci and vertices units apart.

Determine the shape of the curve by eliminating the parameter F θ\thetaθ and label the direction of increasing θ\thetaθ .

Find all points on the circle where the tangent line is vertical.

Limits and Continuity

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Infinte Series

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters

Determine the shape of the curve $Determine the shape of the curve by eliminating the parameter F \theta and label the direction of increasing \theta .$ by eliminating the parameter F $\theta$ and label the direction of increasing $\theta$ .