Question 1

Find   at the point where   if

Accepted Answer

The answer of Find   at the point where...

Question 2

Find the distance between the pole and the vertices for the conic that has its focus at the pole and its directrix is   units to the right of the pole and its eccentricity is   .

Accepted Answer

A)  4 
B)  0.08 
C)  0 
D)  1 
E)  0.32 
A)  4 
B)  0.08 
C)  0 
D)  1 
E)  0.32

Question 3

Rotate the coordinates to remove the xy-term. Then, name the conic.

Accepted Answer

A)  circle 
B)  hyperbola 
C)  ellipse 
D)  parabola 
A)  circle 
B)  hyperbola 
C)  ellipse 
D)  parabola

Question 4

Find

Accepted Answer

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

Question 5

Rotate the coordinates to remove the xy-term. Then, name the conic.

Accepted Answer

A)  circle 
B)  hyperbola 
C)  ellipse 
D)  parabola 
A)  circle 
B)  hyperbola 
C)  ellipse 
D)  parabola

Question 6

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 7

Find the area common to the circles   and   .

Accepted Answer

A)  7   
B)    
C)    
D)    
E)  -72 + 36   
A)  7   
B)    
C)    
D)    
E)  -72 + 36

Question 8

Identify the conic section by transforming to rectangular coordinates.

Accepted Answer

A circle through the

Question 9

Find the arclength of the curve   from   to   .

Accepted Answer

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

Question 10

Sketch the parabola 2x2- 10x + 5y + 12 = 0 showing the focus, vertex and directrix.

Accepted Answer

The answer of Sketch the parabola 2x2- 10x + 5y...

Question 11

What are the polar coordinates of a point whose rectangular coordinates are given as   ?

Accepted Answer

@#IMG-DLM& , where n

Question 12

Find the polar equation for the ellipse that has one of its foci at the pole , eccentricity of   , a = 6, and the directrix above the pole.

Accepted Answer

The answer of Find the polar equation for the ellipse...

Question 13

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

Accepted Answer

5 cos 2@#LAT-DLM&  = 5(1 - 2 s

Question 14

The area of the region bounded by the curve   is

Accepted Answer

A)  54   
B)  108   
C)  36   
D)  9   
E)  216   
A)  54   
B)  108   
C)  36   
D)  9   
E)  216

Question 15

Rotate the coordinates to remove the xy-term. Then, name the conic.

Accepted Answer

A)  circle 
B)  hyperbola 
C)  ellipse 
D)  parabola 
A)  circle 
B)  hyperbola 
C)  ellipse 
D)  parabola

Question 16

Find   at the point where   if

Accepted Answer

The answer of Find   at the point where...

Question 17

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

Accepted Answer

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

Question 18

Find the distance between the pole and the vertices for the conic that has its focus at the pole and its directrix is   units to the left of the pole and its eccentricity is   .

Accepted Answer

A)  4 
B)  0.1 
C)  0 
D)  1 
E)  0.4 
A)  4 
B)  0.1 
C)  0 
D)  1 
E)  0.4

Question 19

The area of the region outside the circle   and inside the cardioid   is

Accepted Answer

A)  72   
B)  180   
C)  288   
D)  18   
E)  144   
A)  72   
B)  180   
C)  288   
D)  18   
E)  144

Question 20

Find the eccentricity of the conic described by   .

Accepted Answer

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

Find at the point where if

Find the distance between the pole and the vertices for the conic that has its focus at the pole and its directrix is units to the right of the pole and its eccentricity is .

Rotate the coordinates to remove the xy-term. Then, name the conic.

Find

Rotate the coordinates to remove the xy-term. Then, name the conic.

Identify the conic section represented by .

Find the area common to the circles and .

Identify the conic section by transforming to rectangular coordinates.

Find the arclength of the curve from to .

Sketch the parabola 2x²- 10x + 5y + 12 = 0 showing the focus, vertex and directrix.

What are the polar coordinates of a point whose rectangular coordinates are given as ?

Find the polar equation for the ellipse that has one of its foci at the pole , eccentricity of , a = 6, and the directrix above the pole.

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

The area of the region bounded by the curve is

Rotate the coordinates to remove the xy-term. Then, name the conic.

Find at the point where if

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

Find the distance between the pole and the vertices for the conic that has its focus at the pole and its directrix is units to the left of the pole and its eccentricity is .

The area of the region outside the circle and inside the cardioid is

Find the eccentricity of the conic described by .

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

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Exam 10: Parametric and Polar Curves; Conic Sections

Find at the point where if

Find the distance between the pole and the vertices for the conic that has its focus at the pole and its directrix is units to the right of the pole and its eccentricity is .

Rotate the coordinates to remove the xy-term. Then, name the conic.

Find

Rotate the coordinates to remove the xy-term. Then, name the conic.

Identify the conic section represented by .

Find the area common to the circles and .

Identify the conic section by transforming to rectangular coordinates.

Find the arclength of the curve from to .

Sketch the parabola 2x2- 10x + 5y + 12 = 0 showing the focus, vertex and directrix.

What are the polar coordinates of a point whose rectangular coordinates are given as ?

Find the polar equation for the ellipse that has one of its foci at the pole , eccentricity of , a = 6, and the directrix above the pole.

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

The area of the region bounded by the curve is

Rotate the coordinates to remove the xy-term. Then, name the conic.

Find at the point where if

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

Find the distance between the pole and the vertices for the conic that has its focus at the pole and its directrix is units to the left of the pole and its eccentricity is .

The area of the region outside the circle and inside the cardioid is

Find the eccentricity of the conic described by .

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

Sketch the parabola 2x²- 10x + 5y + 12 = 0 showing the focus, vertex and directrix.

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