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1. |
Determine the binomial factors of x3 - 5x2 - x + 5 = 0. |
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A. |
x - 1, x + 1, and x - 3 |
B. |
x + 1, x - 1, and x - 4 |
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C. |
x - 1, x + 1, and x - 5 |
D. |
x + 1, x - 1, and x - 6 |
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Hint |
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2. |
Use a graphing calculator to write a polynomial function to model the set of data. |
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A. |
1.3x - 0.9 |
B. |
0.9x + 1.3 |
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C. |
1.3x + 0.9 |
D. |
0.9x - 1.3 |
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Hint |
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3. |
Suppose  is an angle in standard position whose terminal side
lies in Quadrant II. If  , find  |
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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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4. |
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 67.7 meters |
D. |
about 34.2 meters |
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Hint |
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5. |
Write the equation of the parabola whose vertex is at (-6, 2) and whose focus is at (4, 2). |
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A. |
(x - 2)2 = -40(y + 6) |
B. |
(y - 2)2 = 40(x + 6) |
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C. |
(x - 2)2 = 40(y + 6) |
D. |
(y - 2)2 = 40(x - 4) |
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Hint |
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6. |
Graph y = 3x - 5. |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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7. |
The range of the function f(x) = ex - 2 is _______. |
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A. |
all real numbers < -2 |
B. |
all real numbers > -2 |
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C. |
all real numbers > 0 |
D. |
all real numbers < 0 |
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Hint |
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8. |
Write the equation y = 15,000(1.02)x in terms of base e. |
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A. |
y = 15,000ex |
B. |
y = 15,000(1.02)ln x |
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C. |
y = 15,000e0.0198x |
D. |
y = 15,000(1.02)e ln x |
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Hint |
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9. |
Find  . |
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A. |
does not exist |
B. |
7 |
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C. |
5 |
D. |
0 |
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Hint |
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10. |
Find ln (-7) to four decimal places. |
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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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11. |
If you are solving this system of equations by elimination, which of the following is the best choice for the first step? 2x + 3y - z = 4
-x + y + 2z = 3
3x + y + z = 1 |
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A. |
Method I |
B. |
Method II |
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C. |
both methods are correct |
D. |
neither method is correct. |
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Hint |
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12. |
The image of  after Rot180 · Ry-axis is the same as which other reflection, if the vertices are A(1,1), B(2,6), C(6,4)? |
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A. |
reflection over the x-axis |
B. |
reflection over the y-axis |
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C. |
reflection over the line y = x |
D. |
none of these |
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Hint |
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13. |
Solve  for 0  x < 2 . |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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14. |
For the line given by the equation 5x - 7y + 24, what is the angle formed by the x-axis and the normal through the origin? |
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A. |
36° |
B. |
54° |
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C. |
144° |
D. |
126° |
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Hint |
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15. |
Find  . |
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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. |
Identify the graph of the equation 4x2 +3xy + 6y2 - 6 = 0 then find to the nearest degree. |
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A. |
hyperbola; - 28° |
B. |
ellipse; - 28° |
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C. |
parabola;  |
D. |
circle; -56° |
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Hint |
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17. |
Find the balance of a $5,000 investment after 10 years earning 6.75% interest compounded continuously. |
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A. |
$5,033.86 |
B. |
$9,820.16 |
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C. |
$10,033.86 |
D. |
$5,349.15 |
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Hint |
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18. |
Compare the balance after 15 years of a $5,000 investment earning 7.12% interest compounded continuously to the same investment compounded semiannually. |
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A. |
You would earn $267.67 more by choosing the compounded annually account. |
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B. |
You would earn $376.31 more by choosing the compounded continuously account. |
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C. |
You would earn the same from both accounts. |
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D. |
You would earn $267.67 more by choosing the compounded continuously account. |
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Hint |
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19. |
The number of bacteria in a culture can be modeled by the exponential function N = 6.5828(1.1769)t, where t is the number of hours. What will the number of bacteria be in 19 hours? Round to nearest whole number. |
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A. |
177 |
B. |
145 |
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C. |
121 |
D. |
203 |
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Hint |
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20. |
Which series is convergent? |
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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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