| |
| |
1. |
The graph of y = -x2 + 1 is symmetric about __________. |
| |
|
A. |
neither the x-axis nor
the y-axis |
B. |
the x-axis |
| |
|
C. |
the y-axis |
D. |
both the x-axis and
the y-axis |
| |
|
Hint |
|
| |
2. |
State the number of complex roots of the equation x4 - 3x2 - 4 = 0. |
| |
|
A. |
1 |
B. |
2 |
| |
|
C. |
4 |
D. |
3 |
| |
|
Hint |
|
| |
3. |
If you solve 2m2 + 8m + 1 = 0 by completing the square, first divide each side of the equation by ____. |
| |
|
A. |
1 |
B. |
8 |
| |
|
C. |
 |
D. |
2 |
| |
|
Hint |
|
| |
4. |
Find the number of positive real zeros for
f(x) = 3x5 + 2x3 + x2 + 7x - 1 = 0. |
| |
|
A. |
no positive real zeros |
B. |
4 or 2 positive real zeros |
| |
|
C. |
exactly 1 positive real zero |
D. |
4 or 2 or 0 positive real zeros |
| |
|
Hint |
|
| |
5. |
Determine between which consecutive integers the real zeros of
f(x) = x4 - 4x2 + x - 3 are located. |
| |
|
A. |
between -2 and -1 and between 2 and 3 |
B. |
between -3 and -2 and between 2 and 3 |
| |
|
C. |
between -3 and -2 and between 5 and 6 |
D. |
between -4 and -3 and between 3 and 4 |
| |
|
Hint |
|
| |
6. |
Choose the angle measure represented by 4.7 rotations clockwise. |
| |
|
A. |
-1692° |
B. |
-846° |
| |
|
C. |
1692° |
D. |
846° |
| |
|
Hint |
|
| |
7. |
In  if A = 54.3°, B = 63.8°, and b = 12.2, find a to the
nearest tenth. |
| |
|
A. |
about 11.9 units |
B. |
about 12.3 units |
| |
|
C. |
about 11.0 units |
D. |
about 11.7 units |
| |
|
Hint |
|
| |
8. |
Determine the angular displacement in radians of 11.3 revolutions. Round to the nearest tenth. |
| |
|
A. |
1.8 radians |
B. |
71.0 radians |
| |
|
C. |
3.6 radians |
D. |
35.5 radians |
| |
|
Hint |
|
| |
9. |
State the period for the function  . |
| |
|
A. |
8 |
B. |
4 |
| |
|
C. |
16 |
D. |
2 |
| |
|
Hint |
|
| |
10. |
If sin  =  and has its terminal side in the first quadrant, find the exact value of cos 2. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
1 |
| |
|
Hint |
|
| |
11. |
The magnitude of  is 41.3 meters and the magnitude of  is 53.6 meters. If and are perpendicular, what is the magnitude of their sum? |
| |
|
A. |
about 54.0 meters |
B. |
about 67.7 meters |
| |
|
C. |
about 41.9 meters |
D. |
about 34.2 meters |
| |
|
Hint |
|
| |
12. |
The cross product of two vectors is _______. |
| |
|
A. |
perpendicular to both vectors |
B. |
not a vector |
| |
|
C. |
parallel to both vectors |
D. |
a dot product |
| |
|
Hint |
|
| |
13. |
Find the polar coordinates of R(-5, -7). |
| |
|
A. |
(8.60, 4.09) |
B. |
(4.90, 4.09) |
| |
|
C. |
(4.90, 0.95) |
D. |
(8.60, 0.95) |
| |
|
Hint |
|
| |
14. |
Find the domain of f(g(x)) given f(x) =  , and g(x) = x-1 |
| |
|
A. |
x 1,-1 |
B. |
all real numbers |
| |
|
C. |
x0, 1, -1 |
D. |
x1 |
| |
|
Hint |
|
| |
15. |
Which equation has an undefined slope? |
| |
|
A. |
y = 4x + 2 |
B. |
x = 4 |
| |
|
C. |
y = 4x |
D. |
y = 4 |
| |
|
Hint |
|
| |
16. |
Given A = [3 -2], C =  , find AC. |
| |
|
A. |
impossible |
B. |
 |
| |
|
C. |
[-10 -4 -2] |
D. |
[14 3 13] |
| |
|
Hint |
|
| |
17. |
Use the sum or difference identity for cosine to find the exact value of cos 105° |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
18. |
Solve sec2 x =  - 2 for -90° < x < 90°. |
| |
|
A. |
-30°, 30° |
B. |
0° |
| |
|
C. |
-60°, 60° |
D. |
60° |
| |
|
Hint |
|
| |
19. |
For the line given by the equation 5x - 7y + 24, what is the length of the normal through the origin? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
2 |
D. |
24 |
| |
|
Hint |
|
| |
20. |
Find the magnitude of  for N(-2, -6, -12) and K(3, -6, 7). |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
|
|