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1. |
A triangle ABC has vertices A(3, -1), B(4, -2), and C(7, 1). Find the coordinates of the dilated triangle for a scale factor of 3. |
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A. |
A'(9, -3), B'(12, -6),
C'(21, 3) |
B. |
A'(-3, 9), B'(-6, 12),
C'(3, 21) |
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C. |
A'(21, 3), B'(12, -6),
C'(-9, -3) |
D. |
A,/i>'(12, -6), B'(21, 3),
C'(-9, -3) |
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Hint |
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2. |
In  if A = 54.3°, B = 63.8°, and b = 12.2, find a to the
nearest tenth. |
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A. |
about 12.3 units |
B. |
about 11.7 units |
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C. |
about 11.0 units |
D. |
about 11.9 units |
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Hint |
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3. |
State the period for the function  . |
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A. |
4 |
B. |
2 |
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C. |
8 |
D. |
16 |
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Hint |
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4. |
Complete the identity csc x (cos x - sec x) = ________. |
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A. |
cot x |
B. |
-cot x |
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C. |
tan x |
D. |
-tan x |
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Hint |
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5. |
Complete the identity  = ________. |
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A. |
sin x |
B. |
cos x |
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C. |
cot x |
D. |
tan x |
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Hint |
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6. |
Find the inner product of  and  if  and  . |
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A. |
-14 |
B. |
14 |
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C. |
-12 |
D. |
-8 |
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Hint |
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7. |
Write the equation of the hyperbola whose eccentricity is  and whose foci are at (6, 0) and (-6, 0). |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
Write the equation of the parabola whose vertex is at (-6, 2) and whose focus is at (4, 2). |
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A. |
(y - 2)2 = 40(x - 4) |
B. |
(x - 2)2 = -40(y + 6) |
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C. |
(x - 2)2 = 40(y + 6) |
D. |
(y - 2)2 = 40(x + 6) |
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Hint |
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9. |
Which of the following describes the system of equations x - 3y + 2 = 0 and
2x - 6y + 4 = 0? |
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A. |
Consistent and dependent |
B. |
Consistent and independent |
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C. |
Inconsistent |
D. |
none of these |
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Hint |
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10. |
If cos  =  and has its terminal side in the first quadrant, find the exact value of cos  . |
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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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11. |
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 reflection over the xz-plane. |
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B. |
The transformation is a dilation by a scale factor of -1. |
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C. |
The transformation is a reflection over the yz-plane, followed by a transformation over the xy-plane. |
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D. |
The transformation is a translation 1 unit along the y-axis. |
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Hint |
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12. |
Find the quotient  . Express the result in rectangular form. |
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A. |
 |
B. |
-6.96 - 0.76i |
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C. |
 |
D. |
1.07 + 6.92i |
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Hint |
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13. |
Find the principal fourth root of 256i. Leave the result in polar form. |
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A. |
 |
B. |
 |
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C. |
4 |
D. |
4 (cos 0 + i sin 0) |
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Hint |
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14. |
Identify the graph of the equation
x2 - 8xy + 6y2 + 4 y + 5 = 0. |
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A. |
ellipse |
B. |
circle |
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C. |
hyperbola |
D. |
parabola |
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Hint |
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15. |
Which inequality represents the graph shown? |
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A. |
y > 2x + 3 |
B. |
y < 2x + 3 |
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C. |
y  2x - 3 |
D. |
y  2x - 3 |
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Hint |
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16. |
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 $376.31 more by choosing the compounded continuously account. |
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B. |
You would earn $267.67 more by choosing the compounded continuously account. |
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C. |
You would earn $267.67 more by choosing the compounded annually account. |
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D. |
You would earn the same from both accounts. |
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Hint |
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17. |
Solve log4 x + log4 (x + 3) = log410. |
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A. |
5 |
B. |
-2 |
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C. |
2 |
D. |
-5 |
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Hint |
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18. |
Solve 7x = 6x + 2. |
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A. |
-23.2469 |
B. |
11.6234 |
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C. |
23.2469 |
D. |
-27.4312 |
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Hint |
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19. |
What interest rate is required for an investment with continuously compounded interest to double in 5 years? |
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A. |
6.93% |
B. |
3.86% |
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C. |
13.86% |
D. |
3.47% |
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Hint |
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20. |
The Consumer Prime Index between 1950 and 1966 can be modeled by the exponential function y = 20.48e0.0442x, where x is the number of years since 1950. Predict the CPI in 2013. |
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A. |
516.0 |
B. |
27.1 |
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C. |
20.0 |
D. |
331.6 |
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Hint |
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