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1. |
Given f(x) = 3x + 2x - 2 and g(x) = 4x + 1, find  |
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A. |
3x2 - 2x - 3 |
B. |
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C. |
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D. |
3x2 + 6x - 1 |
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Hint |
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2. |
If A =  , find -2A. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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3. |
Find the area of a sector if the central angle measures  radians and the radius of the circle is 22 centimeters. Round to the nearest tenth. |
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A. |
1013.7 cm2 |
B. |
253.4 cm2 |
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C. |
231.1 cm2 |
D. |
506.8 cm2 |
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Hint |
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4. |
Find Arcsin  . |
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A. |
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B. |
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C. |
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D. |
- |
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Hint |
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5. |
Complete the identity
sin  sin (-) - cos  ___. |
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A. |
1 |
B. |
-1 |
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C. |
sin 0 |
D. |
- cos 0 |
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Hint |
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6. |
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? |
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A. |
about 41.9 meters |
B. |
about 54.0 meters |
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C. |
about 34.2 meters |
D. |
about 67.7 meters |
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Hint |
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7. |
Write  as the sum of unit vectors for A(4, 8, -6) and B(-2, 5, 0). |
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A. |
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B. |
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C. |
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D. |
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Hint |
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8. |
The range of the function f(x) = ex - 2 is _______. |
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A. |
all real numbers > 0 |
B. |
all real numbers > -2 |
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C. |
all real numbers < -2 |
D. |
all real numbers < 0 |
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Hint |
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9. |
Graph y = log10 (x + 3). |
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A. |
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B. |
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C. |
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D. |
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Hint |
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10. |
Write the equation y = 15,000(1.02)x in terms of base e. |
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A. |
y = 15,000ex |
B. |
y = 15,000e0.0198x |
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C. |
y = 15,000(1.02)e ln x |
D. |
y = 15,000(1.02)ln x |
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Hint |
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11. |
A card is chosen at random from a standard deck of cards. Determine the probability of choosing a red card, given that the card is an ace. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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12. |
Graph the equation 3x + 2y = 0 |
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A. |
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B. |
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C. |
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D. |
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Hint |
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13. |
Describe the end behavior of the function:
f(x) = x4 - x3 + x2 + x - 1 |
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A. |
f(x)  as x  , f(x) as x |
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B. |
f(x) as x , f(x) as x |
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C. |
f(x) as x , f(x) as x |
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D. |
f(x) as x , f(x) as x |
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Hint |
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14. |
If sec = 5, find cot . |
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A. |
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B. |
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C. |
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D. |
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Hint |
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15. |
Use the sum or difference identity for cosine to find the exact value of cos 105° |
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A. |
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B. |
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C. |
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D. |
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Hint |
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16. |
Solve  + 1 = 2 sin x for all real values of x. |
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A. |
 + 2k |
B. |
 + 2k |
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C. |
+ k |
D. |
k |
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Hint |
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17. |
Find the magnitude of the resultant of a 7-newton force at an angle of 35° above the x-axis and a 12-newton force at an angle of 35° below the x-axis. |
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A. |
11.6 N |
B. |
7.4 N |
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C. |
18.1 N |
D. |
15.8 N |
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Hint |
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18. |
Given what you know about matrix multiplication, make a conjecture about what kind of transformation in 3-dimensional space is represented by the matrix  . |
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A. |
The transformation is a translation 1 unit along the y-axis. |
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B. |
The transformation is a reflection over the yz-plane, followed by a transformation over the xy-plane. |
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C. |
The transformation is a dilation by a scale factor of -1. |
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D. |
The transformation is a reflection over the xz-plane. |
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Hint |
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19. |
Which of the following is not a cube root of -3 + 3i? |
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A. |
0.42 - 1.56i |
B. |
-1.14 - 1.14i |
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C. |
1.14 +1.14i |
D. |
-1.56 + 0.42i |
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Hint |
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20. |
Write the equation of the hyperbola with center at (2, 1), a focus at (2, 6) and eccentricity of |
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A. |
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B. |
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C. |
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D. |
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Hint |
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