Question 1

The area of the region bounded by the curve   is

Accepted Answer

A)  48   
B)  6   
C)  24   
D)  12   
E)  48   
A)  48   
B)  6   
C)  24   
D)  12   
E)  48

Question 2

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

Accepted Answer

A)  72   
B)  216   
C)  180   
D)  18   
E)  144   
A)  72   
B)  216   
C)  180   
D)  18   
E)  144

Question 3

What are the polar coordinates of a point whose rectangular coordinates are given as   ? Note: n is an integer.

Accepted Answer

A)    
B)    
C)    
D)    
E)  (0, 1) 
A)    
B)    
C)    
D)    
E)  (0, 1)

Question 4

The directrix of the conic described by   is

Accepted Answer

A)  To the right of the pole 
B)  To the left of the pole 
C)  Above the pole 
D)  Below the pole 
A)  To the right of the pole 
B)  To the left of the pole 
C)  Above the pole 
D)  Below the pole

Question 5

Find approximations for the intersection point(s) of the cardioid   and the circle   for   . Round your answer to six decimal places.

Accepted Answer

Since @#IMG-DLM& , @#IMG-DLM& , and ther

Question 6

Find the vertices of the hyperbola   in the xy-coordinate system.

Accepted Answer

The answer of Find the vertices of the hyperbola ...

Question 7

Find the area inside the cardioid   , and to the right of the line   .

Accepted Answer

The answer of Find the area inside the cardioid ...

Question 8

Find the slope of the tangent to the curve   at the point where   .

Accepted Answer

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

Question 9

Find the exact arc length of x = 6 sin t, y = 6 cos t , over the interval   .

Accepted Answer

The answer of Find the exact arc length of x...

Question 10

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 11

Find the arclength of the curve   from   to   .

Accepted Answer

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

Question 12

Find the slope of the tangent to the curve   at the point where   .

Accepted Answer

A)  undefined 
B)    
C)    
D)  0 
E)  1 
A)  undefined 
B)    
C)    
D)  0 
E)  1

Question 13

The area of the region bounded by the curve   is

Accepted Answer

A)  13.5   
B)  54   
C)  18   
D)  4.5   
E)  36   
A)  13.5   
B)  54   
C)  18   
D)  4.5   
E)  36

Question 14

Find   at the point where   if

Accepted Answer

A)    
B)  11 
C)  1 
D)    
E)  0 
A)    
B)  11 
C)  1 
D)    
E)  0

Question 15

Which equation below most closely represents the graph shown.

Accepted Answer

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

Question 16

Find the equation of the tangent to the curve   and   at   .

Accepted Answer

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

Question 17

Sketch the parabola y2 + 6y + 6x   = 0 showing the focus, vertex and directrix.

Accepted Answer

Question 18

Find the distance from the pole to the vertex of the conic described.

Accepted Answer

The answer of Find the distance from the pole to...

Question 19

Find the area common to the circles   and   .

Accepted Answer

The answer of Find the area common to the circles...

Question 20

Find the area of the region enclosed by   .

Accepted Answer

The answer of Find the area of the region enclosed...

The area of the region bounded by the curve is

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

What are the polar coordinates of a point whose rectangular coordinates are given as ? Note: n is an integer.

The directrix of the conic described by is

Find approximations for the intersection point(s) of the cardioid and the circle for . Round your answer to six decimal places.

Find the vertices of the hyperbola in the xy-coordinate system.

Find the area inside the cardioid , and to the right of the line .

Find the slope of the tangent to the curve at the point where .

Find the exact arc length of x = 6 sin t, y = 6 cos t , over the interval .

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

Find the arclength of the curve from to .

Find the slope of the tangent to the curve at the point where .

The area of the region bounded by the curve is

Find at the point where if

Which equation below most closely represents the graph shown.

Find the equation of the tangent to the curve and at .

Sketch the parabola y² + 6y + 6x = 0 showing the focus, vertex and directrix.

Find the distance from the pole to the vertex of the conic described.

Find the area common to the circles and .

Find the area of the region enclosed 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

Exam 10: Parametric and Polar Curves; Conic Sections

The area of the region bounded by the curve is

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

What are the polar coordinates of a point whose rectangular coordinates are given as ? Note: n is an integer.

The directrix of the conic described by is

Find approximations for the intersection point(s) of the cardioid and the circle for . Round your answer to six decimal places.

Find the vertices of the hyperbola in the xy-coordinate system.

Find the area inside the cardioid , and to the right of the line .

Find the slope of the tangent to the curve at the point where .

Find the exact arc length of x = 6 sin t, y = 6 cos t , over the interval .

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

Find the arclength of the curve from to .

Find the slope of the tangent to the curve at the point where .

The area of the region bounded by the curve is

Find at the point where if

Which equation below most closely represents the graph shown.

Find the equation of the tangent to the curve and at .

Sketch the parabola y2 + 6y + 6x = 0 showing the focus, vertex and directrix.

Find the distance from the pole to the vertex of the conic described.

Find the area common to the circles and .

Find the area of the region enclosed 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 y² + 6y + 6x = 0 showing the focus, vertex and directrix.