Th3BossC (th3bossc)

Race #9793

View Pit Stop page for race #9793 by th3bossc — Ghost race

View profile for Th3BossC (th3bossc)

Official speed 92.96 wpm (111.53 seconds elapsed during race)
Without ending ping 93.15 wpm (233 ms delay sending score to TypeRacer’s server)
Timerless 94.96 wpm (2,121 ms elapsed before first character typed; 109.18 seconds elapsed during race)
Timerless minus one 94.85 wpm, ignoring the first character typed
Race Start September 8, 2024 8:05:06am UTC
Race Finish September 8, 2024 8:06:58am UTC
Outcome Win (1 of 2)
Accuracy 96.3%
Points 250.99
Text #4940058 (Length: 864 characters)

Calculus is a tool that helps us understand how a change in one quantity is related to a change in another. How does the speed of a falling object change as a function of time? How does the level of water in a barrel change as a function of the amount of liquid poured into it? We see change occurring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instantaneous rates of change, and show that they are closely related to the slope of a curve at a point P on the curve. We give precise developments of these important concepts in the next chapter, but for now we use an informal approach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Characters typed CAlalcusllus is a tool that helps us understand how a change in one quantity is related to a change in another. How does the speed of a falling objet cct change as a function of time? How does the level of water in a barerel change a s a function of the amounto of lqiquid poured ito nto it? We chsee change occuring in rring in nearly everything we observe in teh worhe world and universe, and powerful modern instrucmements help us msee more and smore. In this section we introduct e the ideas of average and instantaneous rates of cahngehange, and show that they are closely related tot he teh she slope of a curve at a point P inon the curve. We give precise developments of tehse hese importants conc concepts in the next changpppter, but nfor now we use an internformal approach so you will see how thye ey lead naturally to the nmain idea of this chapter, the limit. The idea of alim limit plays a foundational role throughout calculus.
Timing
Character C A l -l -A a l c u s l -l -s l u s i s a t o o
Milliseconds 2121 49 205 328 87 91 79 122 124 117 74 315 102 165 98 59 85 70 93 77 76 112 95 87 124
Character l t h a t h e l p s u s u n d e r s t a n
Milliseconds 156 44 124 126 60 49 62 67 101 60 63 60 97 358 222 112 115 158 20 134 59 135 65 63 120
Character d h o w a c h a n g e i n o n e q u a
Milliseconds 62 68 123 74 37 70 100 98 159 77 20 132 78 67 90 71 39 131 118 61 97 2 355 65 125
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 248 164 119 71 253 98 259 95 36 110 79 102 96 62 89 99 89 70 55 85 85 104 132 88 62
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 84 67 64 64 129 36 89 125 84 35 100 82 36 80 114 54 216 145 122 55 127 76 88 55 49
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 100 67 62 60 87 89 93 127 186 197 63 177 97 389 140 90 67 104 99 108 61 41 67 59 88
Character j e t - c -c -t c t c h a n g e a s a f u
Milliseconds 134 78 282 66 204 85 181 316 170 154 70 118 108 68 90 85 68 91 238 70 82 87 111 112 102
Character n c t i o n o f t i m e ? H o w d o e s
Milliseconds 149 49 140 55 24 57 58 104 72 69 97 76 87 13 270 202 175 123 98 60 122 48 114 68 97
Character t h e l e v e l o f w a t e r i n a b
Milliseconds 39 71 91 72 93 96 169 87 109 68 212 73 64 111 65 99 97 90 35 92 57 71 156 182 110
Character a r e -e r e l c h a n g e a - s a f u n
Milliseconds 129 189 374 300 70 76 40 110 138 90 61 119 20 74 122 86 166 343 49 74 86 120 93 143 146
Character c t i o n o f t h e a m o u n t o - -o o
Milliseconds 74 150 47 32 61 56 113 66 87 80 108 55 91 128 96 152 61 165 65 213 72 336 91 73 107
Character f l q -q i q u i d p o u r e d i t o - -o -t
Milliseconds 63 72 181 189 304 186 138 113 78 111 107 129 96 112 76 117 109 102 85 146 49 6 256 97 99
Character n t o i t ? W e c h -h -c s e e c h a n g e
Milliseconds 169 95 98 77 130 67 229 118 162 193 149 170 94 316 88 58 154 167 77 162 95 105 61 53 92
Character o c c u r i n g i n - -n -i - -g -n r -r -i r i n
Milliseconds 65 58 106 143 105 95 91 65 38 66 80 28 97 164 103 86 110 114 88 270 130 96 107 95 68
Character g i n n e a r l y e v e r y t h i n g w e
Milliseconds 50 51 103 41 83 138 102 92 25 83 144 70 72 161 125 100 103 93 104 77 127 43 84 75 66
Character o b s e r v e i n t e h w o r -r -o -w - -h -e
Milliseconds 91 90 83 143 79 86 168 104 117 70 30 86 39 96 0 102 86 59 87 209 101 84 172 100 365
Character h e w o r l d a n d u n i v e r s e , a n
Milliseconds 188 62 98 89 76 70 86 90 163 231 118 88 67 122 139 74 71 101 96 101 68 57 72 416 107
Character d p o w e r f u l m o d e r n i n s t r u c
Milliseconds 52 72 73 48 76 24 66 338 322 135 95 167 91 54 134 79 150 72 133 57 73 105 79 142 88
Character m e -e -m -c m e n t s h e l p u s m -m s e e
Milliseconds 124 98 283 99 91 190 77 105 56 134 132 182 200 104 86 84 89 101 75 395 270 53 145 145 64
Character m o r e a n d s -s m o r e . I n t h i s
Milliseconds 113 69 29 65 51 78 96 67 79 80 272 152 43 61 54 135 82 153 139 72 62 98 42 55 57
Character s e c t i o n w e i n t r o d u c t - -t e
Milliseconds 113 62 186 130 72 19 71 43 61 80 95 129 53 81 95 109 104 116 68 170 156 406 86 86 61
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 96 75 41 71 115 79 143 89 90 63 131 86 104 206 238 186 98 125 74 88 64 75 144 63 72
Character i n s t a n t a n e o u s r a t e s o f c a
Milliseconds 110 71 36 66 94 225 151 405 172 217 236 68 84 80 254 94 101 84 63 58 112 61 66 211 141
Character h n g e -e -g -n -h -a h a n g e , a n d s h o w
Milliseconds 10 145 29 69 213 103 182 101 88 262 228 110 63 72 108 85 131 155 68 90 243 80 68 48 58
Character t h a t t h e y a r e c l o s e l y r e l
Milliseconds 86 73 54 67 30 122 97 74 109 53 78 69 84 30 146 59 110 40 61 103 120 62 109 53 67
Character a t e d t o t h e - -e -h - -t t e h s -s -
Milliseconds 97 67 74 119 98 56 52 98 7 114 42 88 258 104 90 92 109 64 18 131 5 102 159 253 103
Character -h -e h e s l o p e o f a c u r v e a t
Milliseconds 71 99 239 71 64 144 119 122 90 90 54 102 55 99 44 132 156 188 18 184 115 80 126 152 15
Character a p o i n t P i n -n -i o n t h e c u r v
Milliseconds 132 90 140 36 92 24 62 60 234 69 147 67 239 86 170 37 47 56 164 110 117 143 99 82 185
Character e . W e g i v e p r e c i s e d e v e l o
Milliseconds 126 54 80 158 116 68 162 78 116 92 70 93 104 69 156 98 101 67 79 152 133 134 115 21 154
Character p m e n t s o f t e h s e - -e -s -h -e h e s e
Milliseconds 76 136 75 105 60 77 78 115 63 74 101 108 10 172 59 77 186 97 95 96 96 231 66 104 86
Character i m p o r t a n t s c o n c -c -n -o -c - -s c o
Milliseconds 64 104 97 82 57 71 114 88 69 82 119 101 137 64 66 68 273 103 102 80 92 90 129 128 102
Character n c e p t s i n t h e n e x t c h a n g p
Milliseconds 49 56 176 100 80 84 91 111 58 65 168 102 61 45 107 53 180 91 53 154 100 19 139 121 113
Character -p -g p -p -n p t e r , b u t n -n f o r n o w
Milliseconds 234 87 210 267 84 178 78 86 83 105 46 130 120 55 61 202 406 111 86 76 38 133 59 50 81
Character w e u s e a n i n t e r n -n -r -e -t f o r m a
Milliseconds 360 86 74 158 54 68 109 107 170 116 152 63 100 87 72 90 273 94 88 94 89 98 66 90 49
Character l a p p r o a c h s o y o u w i l l s e
Milliseconds 147 103 400 117 84 97 128 226 131 100 47 163 18 103 140 67 57 64 159 60 184 70 106 222 152
Character e h o w t h y e - -e -y e y l e a d n a t
Milliseconds 152 99 114 79 36 61 157 82 211 22 177 257 107 100 71 122 61 116 52 76 126 50 125 67 92
Character u r a l l y t o t h e n -n m a i n i d e a
Milliseconds 78 97 51 64 108 134 53 101 50 102 34 92 61 68 79 350 249 63 114 57 46 110 80 122 89
Character o f t h i s c h a p t e r , t h e l i m
Milliseconds 67 77 104 75 152 119 48 87 67 141 101 74 101 91 94 83 111 76 182 84 77 46 98 85 171
Character i t . T h e i d e a o f a l i m -m -i -l l
Milliseconds 60 97 104 61 174 116 65 49 138 45 133 80 92 90 64 82 85 122 81 186 254 103 147 90 152
Character i m i t p l a y s a f o u n d a t i o n a l
Milliseconds 90 145 69 105 66 55 103 94 95 84 72 327 129 95 125 42 158 28 89 101 85 23 51 71 143
Character r o l e t h r o u g h o u t c a l c u l u s
Milliseconds 81 174 111 151 105 91 85 79 114 91 43 111 109 120 74 90 78 163 99 104 120 114 152 122 143
Character .
Milliseconds 21
WPM Timing
Seconds WPM
2.23 5.38
4.46 32.28
6.69 57.38
8.92 78
11.15 79.62
13.38 89.66
15.61 96.06
17.85 96.83
20.08 92.05
22.31 95.22
24.54 97.81
26.77 96.83
29 96.83
31.23 96.45
33.46 95.76
35.69 93.81
37.92 93.04
40.15 90.26
42.38 92.3
44.61 90.92
46.84 91.2
49.07 91.45
51.3 90.52
53.54 90.11
55.77 91.02
58 92.49
60.23 92.25
62.46 92.41
64.69 92.38
66.92 91.27
69.15 93.02
71.38 92.13
73.61 91.78
75.84 91.93
78.07 92.38
80.3 93.25
82.53 92.62
84.76 91.6
86.99 92.01
89.23 91.05
91.46 91.19
93.69 90.56
95.92 90.83
98.15 90.6
100.38 90.98
102.61 91.8
104.84 92.6
107.07 92.24
109.3 92.66
111.53 92.96