5 pager APA format 1 Discuss the role of the polar front and the air masses that come in conflict in the polar-front zone in the temperature and precipitation cycles of the mid-latitude and high-latitude climates.  2 Compare and contrast orographic and convectional precipitation. Begin with a discussion of the adiabatic process and the generation of precipitation within clouds. Can convectional precipitation occur in an orographic situation? Under what condition? (10) 3 The ITCZ moves north and south with the seasons. Describe how this movement affects the four low-latitude climates. (10) Prepare a description of the annual weather patterns that your location (Winnipeg) experiences throughout the year. Refer to the general air pass patterns, as well as the types of weather systems that occur in each season. (10) Question 1 of 20 5.0 Points Is the relation a function?  y = x2 + 12x + 31 A. Yes B. No Question 2 of 20 5.0 Points Convert the equation to the standard form for a hyperbola by completing the square on x and y.  x2 - y2 + 6x - 4y + 4 = 0 A. (x + 3)2 + (y + 2)2 = 1 B. - = 1 C. (x + 3)2 - (y + 2)2 = 1 D. (y + 3)2- (x + 2)2 = 1 Question 3 of 20 5.0 Points Graph 3x 2 + 3y 2 = 75 A. B. C. D. Question 4 of 20 5.0 Points Graph the ellipse.  16(x - 1)2 + 9(y + 2)2 = 144 A.  B.  C.  D.  Question 5 of 20 5.0 Points Find the vertices and locate the foci for the hyperbola whose equation is given.  49x2 - 100y2 = 4900 A. vertices: ( -10, 0), ( 10, 0)  foci: (- , 0), (  , 0) B. vertices: ( -10, 0), ( 10, 0)  foci: (- , 0), ( , 0) C. vertices: ( -7, 0), ( 7, 0)  foci: (- , 0), ( , 0) D. vertices: (0, -10), (0, 10)  foci: (0, - ), (0, ) Question 6 of 20 5.0 Points Write an equation of an ellipse with vertices of (-3, 0) and (3, 0), and co-vertices (0, -5) and (0, 5). Graph the ellipse. A. B. C. D. Question 7 of 20 5.0 Points Determine the direction in which the parabola opens, and the vertex. y2 = x2 + 6x + 14 A. Opens upward; ( -3, 5) B. Opens upward; ( 3, 5) C. Opens to the right; ( 5, 3) D. Opens to the right; ( 5, -3) Question 8 of 20 5.0 Points Write the appropriate rotation formulas so that in a rotated system the equation has no x'y'-term.  10x2 - 4xy + 6y2 - 8x + 8y = 0 A. x = -y'; y = x' B. x = x' -  y'; y = x' + y' C. x =  (x' - y'); y =  (x' + y') D. x = x' -  y'; y =  x' +  y' Question 9 of 20 5.0 Points Find the location of the center, vertices, and foci for the hyperbola described by the equation.  - = 1 A. Center: ( -4, 1); Vertices: ( -10, 1) and ( 2, 1); Foci: and  ( B. Center: ( -4, 1); Vertices: ( -9, 1) and ( 3, 1); Foci: ( -3 + , 2) and ( 2 +  , 2) C. Center: ( -4, 1); Vertices: ( -10, -1) and ( 2, -1); Foci: ( -4 -  , -1) and ( -4 + , -1) D. Center: ( 4, -1); Vertices: ( -2, -1) and ( 10, -1); Foci:  and  Question 10 of 20 5.0 Points Write the standard form of the equation of the circle with radius 7 and center at (0, 0).

1. 5 pager APA format
1 Discuss the role of the polar front and the air masses that
come in conflict in the polar-front zone in the temperature and
precipitation cycles of the mid-latitude and high-latitude
climates.
2 Compare and contrast orographic and convectional
precipitation. Begin with a discussion of the adiabatic process
and the generation of precipitation within clouds. Can
convectional precipitation occur in an orographic situation?
Under what condition? (10)
3 The ITCZ moves north and south with the seasons. Describe
how this movement affects the four low-latitude climates. (10)
Prepare a description of the annual weather patterns that your
location (Winnipeg) experiences throughout the year. Refer to
the general air pass patterns, as well as the types of weather
systems that occur in each season. (10)
Question 1 of 20
5.0 Points
Is the relation a function?
y = x2 + 12x + 31
A. Yes

2. B. No
Question 2 of 20
5.0 Points
Convert the equation to the standard form for a hyperbola by
completing the square on x and y.
x2 - y2 + 6x - 4y + 4 = 0
A. (x + 3)2 + (y + 2)2 = 1
B. - = 1
C. (x + 3)2 - (y + 2)2 = 1
D. (y + 3)2- (x + 2)2 = 1
Question 3 of 20
5.0 Points
Graph
3x 2 + 3y 2 = 75
A.
B.

3. C.
D.
Question 4 of 20
5.0 Points
Graph the ellipse.
16(x - 1)2 + 9(y + 2)2 = 144
A.
B.
C.
D.
Question 5 of 20
5.0 Points
Find the vertices and locate the foci for the hyperbola whose
equation is given.
49x2 - 100y2 = 4900

4. A. vertices: ( -10, 0), ( 10, 0)
foci: (- , 0), ( , 0)
B. vertices: ( -10, 0), ( 10, 0)
foci: (- , 0), ( , 0)
C. vertices: ( -7, 0), ( 7, 0)
foci: (- , 0), ( , 0)
D. vertices: (0, -10), (0, 10)
foci: (0, - ), (0, )
Question 6 of 20
5.0 Points
Write an equation of an ellipse with vertices of (-3, 0) and (3,
0), and co-vertices (0, -5) and (0, 5). Graph the ellipse.
A.
B.
C.

5. D.
Question 7 of 20
5.0 Points
Determine the direction in which the parabola opens, and the
vertex.
y2 = x2 + 6x + 14
A. Opens upward; ( -3, 5)
B. Opens upward; ( 3, 5)
C. Opens to the right; ( 5, 3)
D. Opens to the right; ( 5, -3)
Question 8 of 20
5.0 Points
Write the appropriate rotation formulas so that in a rotated
system the equation has no x'y'-term.
10x2 - 4xy + 6y2 - 8x + 8y = 0
A. x = -y'; y = x'
B. x = x' - y'; y = x' + y'

6. C. x = (x' - y'); y = (x' + y')
D. x = x' - y'; y = x' + y'
Question 9 of 20
5.0 Points
Find the location of the center, vertices, and foci for the
hyperbola described by the equation.
- = 1
A. Center: ( -4, 1); Vertices: ( -10, 1) and ( 2, 1); Foci: and
(
B. Center: ( -4, 1); Vertices: ( -9, 1) and ( 3, 1); Foci: ( -3 + , 2)
and ( 2 + , 2)
C. Center: ( -4, 1); Vertices: ( -10, -1) and ( 2, -1); Foci: ( -4 -
, -1) and ( -4 + , -1)
D. Center: ( 4, -1); Vertices: ( -2, -1) and ( 10, -1); Foci: and
Question 10 of 20
5.0 Points
Write the standard form of the equation of the circle with radius
7 and center at (0, 0).

7. A.
x 2 + y 2 = 7
B.
x 2 + y 2 = 49
C.
D.
x 2 + y 2 = 14
Question 11 of 20
5.0 Points
Write the equation in terms of a rotated x'y'-system using θ, the
angle of rotation. Write the equation involving x' and y' in
standard form. xy +16 = 0; θ = 45°
A. + = 1
B. y'2 = -32x'
C. += 1
D. -= 1
Question 12 of 20

8. 5.0 Points
Convert the equation to the standard form for a parabola by
completing the square on x or y as appropriate.
y2 + 2y - 2x - 3 = 0
A. (y + 1)2 = 2(x + 2)
B. (y - 1)2 = -2(x + 2)
C. (y + 1)2 = 2(x - 2)
D. (y - 1)2 = 2(x + 2)
Question 13 of 20
5.0 Points
Convert the equation to the standard form for a hyperbola by
completing the square on x and y.
y2 - 25x2 + 4y + 50x - 46 = 0
A.
- (x - 2)2 = 1
B.
- (y - 1)2 = 1

9. C.
(x - 1)2 - = 1
D.
- (x - 1)2 = 1
Question 14 of 20
5.0 Points
Find the standard form of the equation of the ellipse and give
the location of its foci.
A. += 1
foci at (- , 0) and ( , 0)
B. -= 1
foci at (- , 0) and ( , 0)
C. + = 1
foci at (- , 0) and ( , 0)
D. + = 1
foci at (-7, 0) and ( 7, 0)
Question 15 of 20
5.0 Points
Use vertices and asymptotes to graph the hyperbola. Find the
equations of the asymptotes.

10. y = ±
A. Asymptotes: y = ± x
B. Asymptotes: y = ± x
C. Asymptotes: y = ± x
D. Asymptotes: y = ± x
Question 16 of 20
5.0 Points
Match the equation to the graph.
x2 = 7y
A.
B.
C.

11. D.
Question 17 of 20
5.0 Points
Find the standard form of the equation of the ellipse satisfying
the given conditions. Foci: (0, -2), (0, 2); y-intercepts: -5 and 5
A.
+ = 1
B.
+ = 1
C.
+ = 1
D.
+ = 1
Question 18 of 20
5.0 Points
Rewrite the equation in a rotated x'y'-system without an x'y'
term. Express the equation involving x' and y' in the standard
form of a conic section.
31x2 + 10xy + 21y2 -144 = 0
A. x'2 = -4 y'

12. B. y'2 = -4x'
C. += 1
D. + = 1
Question 19 of 20
5.0 Points
Eliminate the parameter t. Find a rectangular equation for the
plane curve defined by the parametric equations.
x = 6 cos t, y = 6 sin t; 0 ≤ t ≤ 2π
A. x2 - y2 = 6; -6 ≤ x ≤ 6
B. x2 - y2 = 36; -6 ≤ x ≤ 6
C. x2 + y2 = 6; -6 ≤ x ≤ 6
D. x2 + y2 = 36; -6 ≤ x ≤ 6
Question 20 of 20
5.0 Points
Graph

13. A.
B.
C.
D.