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EXAM 2 06/19/2012
DO ALL WORK ON TIS EXAM. BE SURE ALL DEVICES ARE OFF.
SOLVE BY USING LOGARITHMS. ROUND YOUR SOLUTION TO TWO DECIMAL PLACES.
1.
2X 1  3
2. e0.2 x  10
SOLVE.
3. log 4 x  log 4  x  6   2
4. 2ln3  ln x  ln6
5. An experiment begins with 1000 bacteria; after 3 hrs., there are 4500. Find the number after 5 hrs.
Round k to three decimal places.
6. Find the exact values of the sine, cosine, and tangent of angle A
7. From a point 116 feet from its base, the angle of elevation of the top of a tower is 18 . Find the
height of the tower to the nearest tenth.
GRAPH EACH OF THE FOLLOWING. DO NOT USE A CALCULATOR.
8. y  2sin3x  4
1

9. y   cos  x   
2


10. y  tan x  2
11. y  csc  3x   
12. y  sec2x  1
13. y  cot2 x
FIND THE EXACT RADIAN VALUE OF EACH OF EACH OF THE FOLLOWING.
14. y  sin1
1
2
15. y  cos 1
2
2
16. y  tan1 3
 1
17. y  sin1   
 2

2
18. y  cos 1  

 2 
19. y  tan1  3


GIVE THE EXACT VALUE OF EACH OF THE FOLLOWING.
 1
20. Y  cossin1   
 3
 3
21. y  tancos1   
 4
22. y  sec tan1  6 
23. y  sincos1 u, u  0