Question 1

Solve the system of inequalities.

Accepted Answer

The answer of Solve the system of inequalities. ...

Question 2

List three alternate ways the point  can be expressed in polar coordinates using r > 0, r < 0, and $\theta$ $\in$ [-2$\pi$, 2$\pi$).

Accepted Answer

The answer of List three alternate ways the point ...

Question 3

The conic section X + Y 2 = 4, whose equation is given in the XY-plane, is rotated by the angle 60°. Find the corresponding equation in the xy-plane.

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Plot the point  .

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 5

Use the following to answer questions :
y = xS1U1P12S1S1P0 - 4x + 3
-Find the vertex.

Accepted Answer

The answer of Use the following to answer questions :
y...

Question 6

Sketch the graph of the conic section using polar graph paper.

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 7

Solve the system using elimination. If the system is dependent, write the general solution in parametric form.

Accepted Answer

A)   
B)   
C)   
D)

Question 8

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. -2x2 + -2y2= -20

Accepted Answer

A)  Circle 
B)  Ellipse 
C)  Hyperbola 
D)  None of these

Question 9

Solve using the method of your choice.

Accepted Answer

The answer of Solve using the method of your choice....

Question 10

Sketch a complete graph of the equation, including asymptotes. Be sure to identify the center and vertices.

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 11

Sketch the polar graph using an r-value analysis (a table may help), symmetry, and any convenient points. r = 5cos(2$\theta$ )

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 12

For the conic section  in the xy-plane
(a) Use rotation of axes to find the corresponding equation in the XY-plane (clearly state the angle of rotation $\beta$ ).
(b) Sketch the graph in xy-plane.

Accepted Answer

The answer of For the conic section  in the...

Question 13

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. 4x2 - 7y2 = 28

Accepted Answer

A)  Circle 
B)  Ellipse 
C)  Hyperbola 
D)  None of these

Question 14

For the conic section 5x² - 8xy + 5y² = 9 in the xy-plane (a) Use rotation of axes to find the corresponding equation in the XY-plane (clearly state the angle of rotation $\beta$ ). (b) Sketch the graph in xy-plane.

Accepted Answer

The answer of For the conic section 5x² - 8xy...

Question 15

Sketch the graph of the conic section using polar graph paper.

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 16

A theorem from elementary geometry states: If the diagonals of a quadrilateral have equal length and bisect each other, then the quadrilateral is a rectangle. Verify the points A(-1, 4), B(5, 1), C(3, -3), and D(-3, 0) are the vertices of a rectangle.

Accepted Answer

The answer of A theorem from elementary geometry states: If...

Question 17

Solve the system of inequalities.

Accepted Answer

The answer of Solve the system of inequalities. ...

Question 18

Solve the system of inequalities.

Accepted Answer

The answer of Solve the system of inequalities. ...

Question 19

Sketch the graph of the ellipse.

Accepted Answer

A)

(Gridlines are spaced one unit apart.) 
B)

(Gridlines are spaced one unit apart.) 
C)

(Gridlines are spaced one unit apart.) 
D)

(Gridlines are spaced one unit apart.)

Question 20

Sketch the polar graph using an r-value analysis (a table may help), symmetry, and any convenient points. r = 5cos(4$\theta$)

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Exam 9: Analytical Geometry

Solve the system of inequalities.

List three alternate ways the point $List three alternate ways the point can be expressed in polar coordinates using r > 0, r < 0, and \theta \in [-2 \pi , 2 \pi ).$ can be expressed in polar coordinates using r > 0, r < 0, and $\theta$ $\in$ [-2 $\pi$ , 2 $\pi$ ).

The conic section X + Y² = 4, whose equation is given in the XY-plane, is rotated by the angle 60°. Find the corresponding equation in the xy-plane.

Plot the point .

Use the following to answer questions : y = x² - 4x + 3 -Find the vertex.

Sketch the graph of the conic section using polar graph paper.

Solve the system using elimination. If the system is dependent, write the general solution in parametric form.

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. -2x² + -2y²= -20

Solve using the method of your choice.

Sketch a complete graph of the equation, including asymptotes. Be sure to identify the center and vertices.

Sketch the polar graph using an r-value analysis (a table may help) , symmetry, and any convenient points. r = 5cos(2 $\theta$ )

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. 4x² - 7y² = 28

For the conic section 5x² - 8xy + 5y² = 9 in the xy-plane (a) Use rotation of axes to find the corresponding equation in the XY-plane (clearly state the angle of rotation $\beta$ ). (b) Sketch the graph in xy-plane.

Sketch the graph of the conic section using polar graph paper.

A theorem from elementary geometry states: If the diagonals of a quadrilateral have equal length and bisect each other, then the quadrilateral is a rectangle. Verify the points A(-1, 4), B(5, 1), C(3, -3), and D(-3, 0) are the vertices of a rectangle.

Solve the system of inequalities.

Solve the system of inequalities.

Sketch the graph of the ellipse.

Sketch the polar graph using an r-value analysis (a table may help) , symmetry, and any convenient points. r = 5cos(4 $\theta$ )

Exam 9: Analytical Geometry

Solve the system of inequalities.

List three alternate ways the point can be expressed in polar coordinates using r > 0, r < 0, and θ\thetaθ ∈\in∈ [-2 π\piπ , 2 π\piπ ).

The conic section X + Y 2 = 4, whose equation is given in the XY-plane, is rotated by the angle 60°. Find the corresponding equation in the xy-plane.

Plot the point .

Use the following to answer questions : y = x2 - 4x + 3 -Find the vertex.

Sketch the graph of the conic section using polar graph paper.

Solve the system using elimination. If the system is dependent, write the general solution in parametric form.

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. -2x2 + -2y2= -20

Solve using the method of your choice.

Sketch a complete graph of the equation, including asymptotes. Be sure to identify the center and vertices.

Sketch the polar graph using an r-value analysis (a table may help) , symmetry, and any convenient points. r = 5cos(2 θ\thetaθ )

For the conic section in the xy-plane (a) Use rotation of axes to find the corresponding equation in the XY-plane (clearly state the angle of rotation β\betaβ ). (b) Sketch the graph in xy-plane.

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. 4x2 - 7y2 = 28

For the conic section 5x2 - 8xy + 5y2 = 9 in the xy-plane (a) Use rotation of axes to find the corresponding equation in the XY-plane (clearly state the angle of rotation β\betaβ ). (b) Sketch the graph in xy-plane.

Sketch the graph of the conic section using polar graph paper.

A theorem from elementary geometry states: If the diagonals of a quadrilateral have equal length and bisect each other, then the quadrilateral is a rectangle. Verify the points A(-1, 4), B(5, 1), C(3, -3), and D(-3, 0) are the vertices of a rectangle.

Solve the system of inequalities.

Solve the system of inequalities.

Sketch the graph of the ellipse.

Sketch the polar graph using an r-value analysis (a table may help) , symmetry, and any convenient points. r = 5cos(4 θ\thetaθ )

List three alternate ways the point $List three alternate ways the point can be expressed in polar coordinates using r > 0, r < 0, and \theta \in [-2 \pi , 2 \pi ).$ can be expressed in polar coordinates using r > 0, r < 0, and $\theta$ $\in$ [-2 $\pi$ , 2 $\pi$ ).

The conic section X + Y² = 4, whose equation is given in the XY-plane, is rotated by the angle 60°. Find the corresponding equation in the xy-plane.

Use the following to answer questions : y = x² - 4x + 3 -Find the vertex.

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. -2x² + -2y²= -20

Sketch the polar graph using an r-value analysis (a table may help) , symmetry, and any convenient points. r = 5cos(2 $\theta$ )

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. 4x² - 7y² = 28

For the conic section 5x² - 8xy + 5y² = 9 in the xy-plane (a) Use rotation of axes to find the corresponding equation in the XY-plane (clearly state the angle of rotation $\beta$ ). (b) Sketch the graph in xy-plane.

Sketch the polar graph using an r-value analysis (a table may help) , symmetry, and any convenient points. r = 5cos(4 $\theta$ )