Th3BossC (th3bossc)

Race #10047

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Official speed 92.87 wpm (111.64 seconds elapsed during race)
Without ending ping 93.13 wpm (316 ms delay sending score to TypeRacer’s server)
Timerless 93.51 wpm (450 ms elapsed before first character typed; 110.87 seconds elapsed during race)
Timerless minus one 93.40 wpm, ignoring the first character typed
Race Start October 6, 2024 9:05:11am UTC
Race Finish October 6, 2024 9:07:03am UTC
Outcome No win (2 of 4)
Accuracy 95.4%
Points 250.75
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 Calculus is a tool that helps us understand how a change in one quantity is related to a change in another. How doe the =s the speed of a falling object change a s as a function of time.? How does the level of water in a barrell change as funa function of tehe amoutn ont of liquid poured into it? We see change occurring in ennearly everything we observe in the world and universe, and powerful modern instrucmenments help us see more and more I. In this section we intruc=ocuduce the ideas of average nad and instanteaneiousouous rates of cahngehnageaange, and show that etthjey ey are closely related to the slope ofa a cruvurve at a point P on the curve. We give precise developments of these imporanttant onconcepts in thse next changppter, but for now we use an informatiol approach so uyuopyyou will see how they lead naturally to the main idea of this chapter, the millimit. The idea of al im limit plays a foundation roal role throughougtt calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 450 117 48 123 152 138 218 180 130 21 122 94 88 106 58 124 96 130 69 59 88 42 65 16 89
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 107 80 109 168 227 120 96 47 170 164 122 135 60 140 77 164 120 63 114 71 66 8 84 97 49
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 188 128 91 71 80 87 112 56 54 95 72 75 60 67 157 74 109 79 102 92 102 93 294 129 42
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 79 175 74 72 68 72 86 114 83 61 66 67 267 92 153 101 18 131 35 78 89 96 30 62 99
Character n o t h e r . H o w d o e t h e = -= - -e -h
Milliseconds 124 69 139 43 91 78 74 93 259 117 63 110 108 96 60 116 67 99 34 54 224 111 77 92 97
Character -t - s t h e s p e e d o f a f a l l i n
Milliseconds 111 95 107 87 42 86 53 54 110 80 104 130 231 49 147 89 93 128 104 52 100 83 100 80 59
Character g o b j e c t c h a n g e a s a -a - -s -
Milliseconds 45 48 95 85 153 43 145 146 24 144 110 35 121 31 77 57 126 149 45 184 83 146 261 102 105
Character s a f u n c t i o n o f t i m e . -. ? H
Milliseconds 72 82 105 97 118 147 133 34 155 72 11 63 43 126 90 193 135 92 25 71 128 285 145 116 162
Character o w d o e s t h e l e v e l o f w a t e
Milliseconds 139 92 68 111 64 85 88 42 68 56 101 44 60 91 173 51 157 96 101 52 115 86 91 62 89
Character r i n a b a r r e l l - -l c h a n g e
Milliseconds 77 70 173 42 80 66 128 59 88 71 146 121 101 119 282 281 78 66 133 321 139 33 70 97 68
Character a s f u n -n -u -f a f u n c t i o n o f t e
Milliseconds 114 69 103 307 152 151 206 97 84 159 301 179 112 133 378 185 100 17 49 31 145 42 108 73 141
Character -e h e a m o u t n o -o - -n -t n t o f l i q
Milliseconds 327 132 59 44 93 118 91 128 121 46 113 125 200 94 93 88 188 55 48 96 72 74 115 90 207
Character u i d p o u r e d i n t o i t ? W e s e
Milliseconds 103 52 89 107 110 68 109 102 82 111 115 99 67 58 79 62 90 78 207 110 139 144 84 93 318
Character e c h a n g e o c c u r r i n g i n e n -n
Milliseconds 196 150 226 4 140 89 192 47 123 72 113 207 484 93 143 181 62 126 268 121 45 83 108 123 308
Character -e n e a r l y e v e r y t h i n g w e o b s
Milliseconds 79 158 59 58 27 81 121 90 50 175 150 141 67 110 53 110 82 34 101 79 68 114 276 84 87
Character e r v e i n t h e w o r l d a n d u n i
Milliseconds 74 64 184 121 121 156 87 101 49 97 90 75 103 115 26 136 51 99 94 66 78 74 107 140 82
Character v e r s e , a n d p o w e r f u l m o d e r
Milliseconds 27 128 93 89 91 18 109 44 96 65 78 57 54 109 43 66 144 111 332 128 110 74 40 132 74
Character n i n s t r u c m e n -n -e -m -c m e n t s h e l
Milliseconds 109 41 149 41 55 126 86 102 110 108 68 103 231 101 85 92 171 53 109 66 96 100 43 138 37
Character p u s s e e m o r e a n d m o r e I -I
Milliseconds 48 124 57 96 133 43 111 367 152 115 47 109 82 97 92 84 58 97 43 59 47 52 139 207 256
Character - . I n t h i s s e c t i o n w e i n t
Milliseconds 95 244 70 526 136 61 144 72 52 42 87 83 81 184 156 61 20 66 59 45 70 110 127 51 88
Character r u c = -= -c -u o c u -u -c d u c e t h e i d e a
Milliseconds 105 100 150 252 96 176 104 189 82 109 256 84 127 83 69 164 115 65 76 60 46 100 113 121 73
Character s o f a v e r a g e n a d - -d -a -n a n d
Milliseconds 103 119 81 60 109 73 594 133 87 101 91 83 123 173 53 151 36 226 94 94 93 109 90 75 90
Character i n s t a n t e -e a n e i o u s -s -u -o o u -u -o -i o
Milliseconds 110 69 39 91 76 34 107 319 306 45 89 68 163 81 55 59 225 91 87 262 67 232 85 85 184
Character u s r a t e s o f c a h n g e -e -g -n -h -a h n
Milliseconds 74 191 151 83 159 105 89 82 80 56 71 91 151 86 0 147 48 64 212 97 94 76 400 166 149
Character a g e -e -g -a a -a -n a n g e , a n d s h o w t
Milliseconds 37 75 90 260 90 110 177 78 104 97 119 96 74 115 46 414 83 93 132 80 139 59 22 97 48
Character h a t e t -t -e t h j e y - -y -e -j e y a r e
Milliseconds 85 41 98 0 186 174 135 85 272 116 0 51 84 52 239 96 95 77 88 117 84 96 62 70 58
Character c l o s e l y r e l a t e d t o t h e s l
Milliseconds 136 79 122 17 110 55 151 80 131 98 93 93 49 92 141 84 50 93 71 40 110 52 55 141 86
Character o p e o f a - - -a a c r u v -v -u -r u r v
Milliseconds 150 92 250 131 108 80 141 4 145 308 92 63 69 56 180 194 159 69 166 225 100 84 272 90 163
Character e a t a p o i n t P o n t h e c u r
Milliseconds 100 115 200 112 86 119 141 175 19 73 54 14 70 213 104 86 82 74 80 85 36 77 133 78 74
Character v e . W e g i v e p r e c i s e d e v e l
Milliseconds 201 103 0 181 150 134 69 113 117 71 134 116 36 127 84 184 83 116 74 107 213 144 163 73 36
Character o p m e n t s o f t h e s e i m p o r a n t
Milliseconds 139 67 154 55 115 53 85 87 120 73 144 79 79 36 135 101 66 62 91 111 26 92 151 133 50
Character -t -n -a t a n t o n -n -o c o n c e p t s i n t
Milliseconds 206 90 63 115 90 66 54 97 227 51 249 87 122 48 47 66 182 60 86 80 89 92 59 61 37
Character h s -s e n e x t c h a n g p -p -g -n p t e r ,
Milliseconds 102 60 323 83 94 112 82 165 150 18 158 99 32 132 49 121 242 92 87 154 74 91 92 59 80
Character b u t f o r n o w w e u s e a n i n f
Milliseconds 119 118 58 50 96 65 106 49 72 92 39 107 89 69 106 206 85 79 105 65 111 74 95 88 34
Character o r m a t i o -o -i -t l a p p r o a c h s o u
Milliseconds 95 54 79 56 91 90 60 230 82 81 165 74 369 49 126 157 54 96 171 72 98 181 68 97 202
Character y u o p -p -o -u -y y -y -u y o u w i l l s e e h
Milliseconds 14 75 22 0 280 79 92 103 242 250 83 191 83 77 46 45 114 130 90 85 65 187 95 142 43
Character o w t h e y l e a d n a t u r a l l y t o
Milliseconds 61 55 65 286 51 114 4 98 72 63 88 134 81 82 67 95 71 82 62 41 99 119 61 45 82
Character t h e m a i n i d e a o f t h i s c h
Milliseconds 73 36 103 42 75 73 88 83 59 55 290 120 196 66 114 18 138 81 89 51 30 103 27 149 61
Character a p t e r , t h e m i l -l -i -m l i m i t . T
Milliseconds 78 86 108 95 80 79 117 47 96 34 77 137 42 37 290 82 96 259 74 143 73 81 139 98 162
Character h e i d e a o f a l i m -m -i - -l l i m i
Milliseconds 133 43 80 110 36 132 78 122 42 98 86 46 151 18 77 162 260 91 93 95 125 83 137 143 73
Character t p l a y s a f o u n d a t i o n r o -o -r
Milliseconds 97 45 95 66 106 76 66 98 97 91 84 83 53 145 37 83 96 54 13 62 58 115 70 259 96
Character - a l r o l e t h r o u g h o u g t -t -g t c
Milliseconds 84 99 83 74 79 86 118 44 74 120 59 98 11 62 103 60 97 74 48 193 185 93 305 95 155
Character a l c u l u s .
Milliseconds 161 100 61 114 137 127 211 77
WPM Timing
Seconds WPM
2.23 85.99
4.47 102.11
6.7 112.86
8.93 114.21
11.16 116.09
13.4 108.38
15.63 110.56
17.86 105.47
20.1 104.5
22.33 107.49
24.56 105.53
26.79 101.67
29.03 100.05
31.26 97.51
33.49 98.89
35.72 98.42
37.96 96.42
40.19 97.34
42.42 98.44
44.66 99.96
46.89 99.04
49.12 99.67
51.35 98.38
53.59 99.2
55.82 97.6
58.05 97.15
60.29 95.94
62.52 93.48
64.75 92.29
66.98 90.47
69.22 90.32
71.45 90.86
73.68 91.04
75.92 89.47
78.15 90.44
80.38 91.07
82.61 91.8
84.85 90.94
87.08 91.5
89.31 91.63
91.54 92.02
93.78 91.62
96.01 90.87
98.24 91.98
100.48 92.92
102.71 92.88
104.94 92.74
107.17 93.38
109.41 93.56
111.64 92.87