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unit 4 test pre calc aai
advanced academics
30
Mathematics
11th Grade
04/24/2013
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Term
 
Find the foci for the ellipse [image]. 
A. (4, 0), (-4, 0)
B. [image],[image]
C. [image],[image]
D. (0, 3), (0, -3)
Definition
Term
Find the directrix of the parabola [image]. 
  A. [image]
  B. [image]
  .c [image]
  D. [image]
Definition
Term
Find the directrix of the parabola [image]. 
  A. [image]
  B. [image]
  C. [image]
  D. [image]
Definition
Term
Rewrite the following parametric equations by eliminating the parameter. 
[image] 
  A. [image]
  B. [image]
  C. [image]
  D. [image]
Definition
Term

 

Given the equation xy = -12, if you rotate the graph of the equation 45° about the origin, what is the new equation? 
A. [image]
B. [image]
C. [image]
D. [image]
Definition
Term
Solve the system of equations. [image]
A. [image]
B. [image]

Click here for a long description of the image above.
C. [image]

Click here for a long description of the image above.
D. no solution
Definition
Term
Identity the graph of the equation x2 + 3xy + 2y2 - 3x + 2y + 10 = 0, then find [image], the angle of rotation. 
A. ellipse; -36°
B. ellipse; 36°
C. hyperbola; -36°
D. hyperbola; 36°
Definition
Term



Given the hyperbola y2/16 - x2/9 = 1, find the foci. 
A. (0, -5), (0, 5)
B. (5, 0), (-5, 0)
C. (-3, 0), (3, 0)
D. (0, -4), (0, 4)
     
     
     
     
Definition
Term

 

Find the center and the radius of the circle: x2 - 6x + y2 + 1 = 0. 
A. Center (0, 3), r = 2√2
B. Center (0, 3), r = 2√3
C. Center (3, 0), r = 2√2
D. Center (3, 0), r = 2√3
Definition
Term
Which of the following is the sketch of circle [image]? 
A. [image]
B. [image]
C. [image]
D. [image]
Definition
Term
Change the following polar coordinates into rectangular form. [image] 
A. [image]
B. [image]
C. [image]
D. [image]
Definition
Term

 

Change the following polar coordinates into rectangular form. (-2, 45°)
A. (-2[image]2, -2[image]2)
B. (-[image]2, -[image]2)
C. ([image]2, 2[image]2)
D. (2[image]2, -[image]2)
Definition
Term

 

Change the following rectangular coordinates into polar form. (2, 4) 
Round [image] to nearest degree. 
A. (10,63°)
B. (2[image]10, 63°)
C. (2[image]5, 63°)
D. (-2[image]5, -63°)
Definition
Term

 

Find the vertex of the parabola [image]. 
A. [image]
B. [image]
C. [image]
D. [image]
Definition
Term
Find the focus of the parabola [image]. 
A. (0, -3)
B. (-3, 0)
C. (0, 3)
D. (3, 0)
Definition
Term
Find the foci for the ellipse [image]. 
A. (3, 0), (-3, 0)
B. (0, √5), (0, -√5)
C. (√5, 0), (-√5, 0)
D. (0, 3), (0, -3)
Definition
Term

 

Given the hyperbola y2/16 - x2/9 = 1, determine if the foci are on the x-axis or y-axis. 
A. x-axis
B. y-axis
Definition
Term
Identity the graph of the equation 9x2 + 4xy + 5y2 - 40 = 0, then find [image], the angle of rotation. 
A. ellipse; 23°
B. ellipse; 46°
C. hyperbola; 23°
D. hyperbola; 46°
Definition
Term
Find the foci for the ellipse [image]. 
A. (5, 0), (-5, 0)
B. [image], [image]
C. [image],[image]
D. [image],[image]
Definition
Term
Find the foci for the ellipse [image]. 
A. (3, 0), (-3, 0)
B. [image],[image]
C. [image],[image]
D. (0, 3), (0, -3)
Definition
Term

 

Given the hyperbola x2/4 – y2/9 = 1, find the equations for its asymptotes. 
A. y = (3/2)x, y = (-3/2)x
B. x = (3/2)y, x = (-3/2)y
C. y = (1/3)x, y = (-1/3)x
D. x = (1/3)y, x = (-1/3)y
Definition
Term

 

Find the center and the radius of the circle [image]. 
A. Center (2, -4), r = 3
B. Center (3, 2), r = 3
C. Center (-2, -4), r = 3
D. Center (-3, 2), r = 3
Definition
Term
Solve the system of equations. [image] 
A. [image]
B. [image]
C. [image]
D. no solution
Definition
Term

 

Find the center and the radius of the circle [image]. 
A. Center (0, 2), r = [image]
B. Center (2, 0), r = [image]
C. Center (1, -2), r = [image]
D. Center (-1, 2), r = [image]
Definition
Term

 

Given the hyperbola y2/16 - x2/9 = 1, find the vertices. 
A. (-4, 0), (4, 0)
B. (0, -4), (0, 4)
C. (-3, 0), (3, 0)
D. (0, -3), (0, 3)
Definition
Term

 

Change the following polar coordinates into rectangular form. (4, 0°) 
A. (0, 4)
B. (0, -4)
C. (4, 0)
D. (-4, 0)
Definition
Term
Solve the system of equations. [image] 
A. [image]
B. [image]
C. [image]
D. [image]
Definition
Term
Rewrite the following parametric equations by eliminating the parameter. 
[image] 
A. [image]
B. [image]
C. [image]
D. [image]
Definition
Term
Given the equation x2 - 7x + y2 = 5, if you rotate the graph of the equation 45° about the origin, what is the new equation? 
A. [image]
B. [image]
C. [image]
D. [image]
Definition
Term
Rewrite the following parametric equations by eliminating the parameter. 
[image] 
A. [image]
B. [image]
C. [image]
D. [image]
Definition
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