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1. |
For which line(s) is the graph of  symmetric? |
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A. |
y = 1 |
B. |
y = -1 |
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C. |
x = 3 and y = -1 |
D. |
x = 3 |
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Hint |
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2. |
Suppose I = 0.05(0.6G - 400), where G = the gross monthly pay and
I = the amount of the investment. Determine the equation which represents the inverse process. |
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A. |
G =  |
B. |
G =  |
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C. |
G =  |
D. |
G =  |
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Hint |
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3. |
Use a graphing calculator to graph g(x) = x3 - x + 1 and to determine and classify its extrema. |
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A. |
relative minimum:
(-0.6, 1.38);
relative maximum:
(0.6, 0.62) |
B. |
relative minimum:
(1.38, -0.6);
relative maximum:
(0.6, 0.62) |
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C. |
relative maximum:
(1.38, -0.6);
relative minimum
(0.6, 0.62) |
D. |
relative maximum:
(-0.6, 1.38);
relative minimum:
(0.6, 0.62) |
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Hint |
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4. |
If y varies jointly as the square of x and the cube of z and y = 9 when x = 3 and z = 4, find y when x = 8 and z = 5. |
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A. |
100 |
B. |
125 |
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C. |
40 |
D. |
45 |
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Hint |
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5. |
Use the Upper Bound Theorem to find an integral upper bound and the Lower Bound Theorem to find an integral lower bound of the zeros of the function f(x) = x3 - 2x2 - x + 6. All real zeros of f(x) can be found in the interval. |
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A. |
2  x 3 |
B. |
-3 x -2 |
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C. |
-2 x 3 |
D. |
1 x 2 |
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Hint |
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6. |
Solve  . |
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A. |
3 |
B. |
2 |
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C. |
0 |
D. |
1 |
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Hint |
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7. |
Two observers 3 miles apart and facing each other find that the
angles of elevation of a balloon in the same vertical plane with
themselves are 28° and 31° respectively. Find the distance from
the balloon to the observer located at the 28° angle. |
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A. |
about 2.4 miles |
B. |
about 3.5 miles |
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C. |
about 1.8 miles |
D. |
about 1.6 miles |
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Hint |
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8. |
Complete the identity
sin  sin (-) - cos  ___. |
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A. |
sin 0 |
B. |
-1 |
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C. |
- cos 0 |
D. |
1 |
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Hint |
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9. |
Let  . Find  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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10. |
A vector that has a magnitude of one is called a _____. |
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A. |
unit vector |
B. |
magnitude |
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C. |
resultant |
D. |
scalar |
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Hint |
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11. |
Write the equation 3x - 8y = -4 in polar form. Round  to the nearest degree. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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12. |
Find the magnitude of the resultant vector for the diagram. |
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 |
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A. |
237.2 N |
B. |
88 N |
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C. |
250 N |
D. |
230.4 N |
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Hint |
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13. |
Write a vector equation describing a line passing through P1(2, 6) and parallel to  . |
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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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14. |
Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1). |
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A. |
3x + 5y - 50 = 0 |
B. |
5x + 3y - 12 = 0 |
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C. |
5x - 3y - 12 = 0 |
D. |
5x - 3y - 4 = 0 |
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Hint |
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15. |
If y varies inversely as the cube of x and y = 8 when x = 2, find
x when y = 1. |
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A. |
x = 4 |
B. |
x = 1 |
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C. |
x = 8 |
D. |
x = 2 |
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Hint |
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16. |
Find the value of tan 2 if sin =  and 0 < <  . |
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A. |
- |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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17. |
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. |
126° |
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C. |
144° |
D. |
54° |
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Hint |
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18. |
Find the magnitude of the resultant vector that is the sum of the two vectors shown. |
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 |
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A. |
124 |
B. |
80.1 |
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C. |
59 |
D. |
165.2 |
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Hint |
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19. |
If José pushes a cart horizontally, exerting a horizontal force of 0.5 N up a 45° incline so that the cart moves 3 m, how much work has José done on the cart? A joule (J) is the SI unit for work or energy. 1 J = 1 N · 1 m |
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A. |
 J |
B. |
 J |
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C. |
 J |
D. |
 J |
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Hint |
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20. |
Find the product 3 (cos 2.8 + i sin 2.8) · 5 (cos 0.6 + i sin 0.6). Express the answer in rectangular form, approximating a and b to the nearest hundredth. |
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A. |
-8.83 + 12.13i |
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B. |
-1.63 + 14.91i |
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C. |
-14.50 - 3.83i |
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D. |
-0.87 + 7.95i |
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Hint |
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