

1. 



A. 

B. 



C. 

D. 



Hint 


2. 
Which is the graph of f(x) = x  4 and its inverse? 


A. 

B. 



C. 

D. 



Hint 


3. 
Use the function of best fit, y = 0.9x + 1.3, to predict y when x = 5. 


A. 
3.2 
B. 
6.7 


C. 
5.8 
D. 
2.3 


Hint 


4. 
Suppose is an angle in standard position whose terminal side lies in Quadrant II. If , find 


A. 

B. 



C. 

D. 



Hint 


5. 
The terminal side of one angle in standard position contains the point with coordinates (3, 2). The terminal side of another angle in standard position contains the point with coordinates (3, 2). Compare the tangents of these angles. 


A. 
One does not exist. 
B. 
They are not equal. 


C. 
One is twice the other. 
D. 
They are equal. 


Hint 


6. 
Determine the number of possible solutions for , given a = 7, b = 3, and A = 115°. 


A. 
three 
B. 
two 


C. 
one 
D. 
none 


Hint 


7. 
Use a halfangle identity to find the exact value of sin 67.5°. 


A. 

B. 



C. 

D. 



Hint 


8. 
Write the equation of the ellipse whose center is at the origin, a = 6, and . 


A. 



B. 
or 


C. 
or 


D. 



Hint 


9. 
Using a standard deck of cards, how many 5card hands are possible that have 4 aces and 1 king? 


A. 
24 
B. 
1 


C. 
4 
D. 
96 


Hint 


10. 
How many different 6digit numbers can have the digits 6,2,4,4,2, and 6? 


A. 
360 
B. 
90 


C. 
180 
D. 
720 


Hint 


11. 
Determine two points that appear to represent the data in the scatter plot. Then find and interpret the slope. 





A. 
Paul's test scores are neither increasing nor decreasing. 


B. 
Paul's test scores improve an average of 5 points with each test. 


C. 
Paul's test scores improve an average of 15 points with each test. 


D. 
Paul's test scores improve an average of 3 points with each test. 


Hint 


12. 
Find the value of the determinant . 


A. 
29 
B. 
25 


C. 
3 
D. 
43 


Hint 


13. 
Find the inverse of . 


A. 

B. 



C. 
does not exist 
D. 
0 


Hint 


14. 
Solve + 1 = 2 sin x for all real values of x. 


A. 
+ 2k 
B. 
+ k 


C. 
+ 2k 
D. 
k 


Hint 


15. 
Find the magnitude of the vector from the origin to point P(7, 5, 23). 


A. 
5 
B. 



C. 

D. 



Hint 


16. 
Hetu is playing catch with a friend. If Hetu throws the ball at 21.3 m/s, at an angle of 30° with the horizontal, and his friend catches the ball at the same height from which Hetu threw it, how long is it before his friend catches the ball? 


A. 
0.46 s 
B. 
1.41 s 


C. 
2.17 s 
D. 
10.65 s 


Hint 


17. 
Write the equation of the ellipse in standard form. 





A. 



B. 



C. 



D. 



Hint 


18. 
Find the amount of time needed for an investment to double at a rate of 7.1% if the interest is compounded continuously. 


A. 
11.2 years 
B. 
9.76 years 


C. 
2.5 years 
D. 
4.3 years 


Hint 


19. 
Which series is divergent? 


A. 



B. 



C. 



D. 



Hint 


20. 
Use the first three terms of the trigonometric series and a calculator to approximate the value of to four decimal places. 


A. 
1.2491 
B. 
0.866 


C. 
0.8663 
D. 
0.8453 


Hint 

