1. 353
2.
3. 16/3
4. 225
5. 90x
6. x < -1, x > 1
7. a) 2.547
b) 
c) 
8. x < 1, x > 5
9. x < -3, x > 3
10. 
11. -2 < x < -1, x > 1
12. a) -1 < x < 0, x
> 1
b) x < -1, 0 < x < 1
c) even
d) -3
e) 0
13. a) x2+2x+4
b) 
c) (2x + 3)2 + 1
= 4x2 + 12x + 10
d) 2(x2+1)+3 = 2x2
+ 5
e) 
f) 
g) 
14. odd
15. y = 2x - 6
16. y = 6(x + 1)2 - 2
or y = 6x2 + 12x + 4
17. Graph the parabola in your
calculator. Shade above the parabola.
18. a) 7p/3, -5p/3 b) 472o, -248o
(there are others for both a and b)
19. 120o
(multiply by 180/p)
20.
13p/9
21. Look at your chart, unit circle, or special triangles
22. 
23. 
24. 
sec A should be negative (make
that correction)
25. 
The last cos A is supposed to read
cot A
26. a) 1
b) -1/2 c) 
d) 2 e) -2 f) -1
27. a) .6428 b)
-1.2799 c) 2.5593 d) -1.7434
28. Check graphs in the
calculator:
a) A = 2, P = 2p/3,
HS = p/4,
VS = 1
b)
A =1, P = 2p,
HS = p/3
c)
A = none, P = 2p
d) A = none, P = p, VS =
-1
29. a) 75.522 degrees or 1.318
radians
b) 5.739 degrees or .1002
radians
c) 80.538 degrees or 1.406
radians
d) 85.220 degrees or 1.487 radians
30. Graph these in your calculator to check
a) base graph in calculator
b) move a) down 3
c) double y's in a)
d) reflect negative y's across
x-axis
e) erase left side; draw right
side; reflect right side to left
f) move a) right 3
31. 3/5
32. 8/5
33. 
34. 
35. 2p/3
36. -13/5
37. 
38. y = cos-1x + p/2
39. 3p/4
40.
3/5
41.
4/3
42.
6, 18
43. Graph in your
calculator in polar and radian mode
44. See me
about these answers
45. See me about these
answers
46. <-8,-2> or <8,2>
depending
on which point is the terminal side and which one is
the
initial side. Always subtract the initial point from the terminal
point.
47. 
48. <1,-8> or <-1,8>
49. i) Prove true for n = 1:
1 = 1(2)(3) / 6 = 1
ii)
Assume 1 + 4 + 9 + 16 + ... + n2 = n(n + 1)(2n + 1)
6
iii)
Prove: 1 + 4 + 9 + 16 + ... + n2 + (n + 1)2
= (n + 1)(n + 2)(2n + 3)
6
Proof: 1 + 4 + 9 + 16 + ... +
n2 + (n + 1)2
= n(n + 1)(2n + 1) + (n + 1)2
6
= n(n + 1)(2n + 1)
+ 6(n + 1)2
6
6
= (n + 1) n(2n + 1) + 6(n + 1)
6
= (n + 1) 2n2 + n
+
6n + 6
6
= (n + 1) 2n2 + 7n + 6
6
= (n + 1) (2n + 3)(n + 2)
6
= (n + 1) (2n + 3)(n + 2)
6
50. (-1,1)
51. 
; 5eip/r
52. 20 cis 60o
or 
1.25 cis 30o
53. 16 cis 120o or
54. Circle centered at the origin with radius 5
55. 3
56. none.
57. 1.08 + 0.29i (There are two others)
58. Graph it in your calculator in parametric and radian
mode.
59. 142.127 N
60. 
61. The equation is 
so at 25 seconds, y = 16 feet
62. 1
63. 2
64. oo
or Does Not Exist
65. 0
66. 7
67. 35
68. y - 19 = 12(x - 3)
69. 0
70. (-.7863, 2.1196)
71. x = -1
and 3
72. 22
73. 4x - 3
74. a. x = 75t cos 25o
y =
5 + 75t sin 25o - 16t2
b. about 145 ft
c. about 20.6 ft
75. 3.29
76. 6.403
77. < 1,1,5 > there are
others; just make sure the dot product = 0
78. 25
79. -8i - 10j + 11k
80. (x + 1)2
+ (y - 5)2
= 25
81. 40,320
82. 30
83. 13/24
84. 507/11050 = 39/850
85. 5/8
86. 7/13
87. 1/26
88. < 1
89. = 1
90. > 1
91. 25 + 9i
92. |
| + + ++
|
|
.
93. 
(Use
rules of
exponents)
94. (a) x = 4 (Solving
equations)
(b) x = 3/2
(c) x = -1
(d) x = log (4/5) @
-.0969
(e) ln .75 @
-.2877
(f) ln (-.75) @ -.2877 + ip
95. (a) (Graph in the calculator in a zoom 6 window
remembering the graph
really continues on in the negative x
direction)
(b) turns the (a) graph
upside down
(c) brings the (a) graph
down
4 units
(d) moves the (a) graph
2 units to the right
(e) keep the right side;
erase the left side; reflect
the
right over to the left
96. (a) (Graph
in the calculator in a zoom 6 window using the change of base formula
and
graphing y = log x / log 2
remembering the graph
really continues on in the negative y direction)
(b) (Graph in the
calculator in a zoom 6 window remembering the graph really continues on
in the negative y
direction)
(c) Moves the (b) graph
1 unit
to the right
(d) Turns the negative
y-values
into positive y-values on the (b) graph. Just reflect
the bottom part over the x-axis and
keep the rest.
(e) Keep the right side
of the (b) graph; erase the left side; reflect the right over to the
left
(f) Turns the (b) graph
upside down and then reflects it over the y-axis
97. log 5 or ln 5 @
1.46497 (Use change
of base formula)
log
3
ln 3
98. 2 log x - 2 log y - 3 log z (Use laws
of logarithms)
99. ln
x
(Use laws
of
logarithms)
(x2 - 4)2
100. (a) x = 5 (Solving
equations)
(b) x = e3.8
+ 1 @ 45.7012
(c) x = ln 10 @
2.3026
(d) x = log 570 @
2.7559
(e) x = log 7 @
1.7712
log 3
101. x = 5.0618, .000000000038 (Solve in your
calculator:
2nd CALC zero)
102. -8 \/2 (Take the i's out first)
103. y =
500______ (Substitute the points in and solve
simultaneously)
1 + 3.148e.275t
104. -1 + 7i (Multiply
by the conjugate of the denominator over itself)
10
105. lim (1 + 1/n)n (Definition
of e)
n->oo
106. t = 32.600 (Let y = 100 and solve for k)
107. 1/2
108. y + 5.25 = (x - 2.5)2
109. (a) y = 5.2449(1.5524)x
(b) y = 5.2449e0.4398x
(c) about 1.58 hrs
110. x > 19.5801
111. 8!/2! = 20,160
112. about 197oF
113. x6/6
114. (y - 2)2
- (x - 2)2
= 1
9
16
115. ellipse; 13o
116. 
; (3, 2.5, 0)
117. cot2x
118. 
119. 7/9
120. 17.6
121. 103.7 units squared
122. 2
123. 12
124. 22.2o
125. 136.8 units squared
126. y=(-1/3)x + 17/3
127. 131.8o
128. y = (2/3)cos[(p/.9)(x
- 3p/2)] -
4/3 or y = .667 cos [3.491(x - 4.712)] - 1.333
or y = .667 cos (3.491x - .16449) - 1.333
129. A = 1, P = 2p/3,
HS = p/15, and VS = 2
130. 16x4 - 96x3y
+ 216x2y2 - 216xy3 + 81y4
131. 35840x3y4
132. (-1, 1.732)
133. r = 2
134. x2 + y2
= 8
135. 2.1 seconds
136. (1,6,-1)
137. 5
138. ip + 2.5953