Valdebich (k0k1)

Race #1898

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Official speed 88.02 wpm (117.79 seconds elapsed during race)
Without ending ping 88.27 wpm (332 ms delay sending score to TypeRacer’s server)
Timerless 88.41 wpm (187 ms elapsed before first character typed; 117.27 seconds elapsed during race)
Timerless minus one 88.31 wpm, ignoring the first character typed
Race Start October 24, 2023 7:27:53pm UTC
Race Finish October 24, 2023 7:29:50pm UTC
Outcome No win (4 of 6)
Opponents 2. roadrunner21 (120.62 wpm)
3. deefly (96.95 wpm)
Accuracy 97.8%
Points 237.66
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 chang eine in another. How does the speed of a falling object change as a function of time? How does the leve l ow f water in abar barrel change as a function of the amount of liquid poured into it? We see change occurring in nearly everything we obser eve in the world and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas oaf average and instantaneous rates of change, and hshow that theyw are closely related to the slope of a curve at a point P on the curve. We give precise edevelopments of these imporatant cconconcep[[t[ppts ioom tinm the next chapter, but for now we use an informal approcaach so you will see how they lead naturally to the main idea of this schapter, the limit. The idea of a limit plays a foundational role throughout calculus,.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 187 345 92 216 92 155 171 109 48 138 95 34 167 58 160 61 140 185 115 88 109 64 64 44 99
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 120 108 313 251 107 170 110 110 108 140 62 63 125 157 171 46 129 74 78 141 95 78 47 155 32
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 234 93 92 110 77 79 15 144 106 94 108 79 112 59 296 128 123 138 142 110 108 171 170 153 109
Character r e l a t e d t o a c h a n g e i n -n -i
Milliseconds 51 213 62 155 124 140 62 155 122 94 47 94 109 110 158 78 108 77 78 63 15 172 63 297 113
Character -e - e i n a n o t h e r . H o w d o e s
Milliseconds 140 144 140 93 158 92 109 64 109 79 63 93 77 81 107 84 215 110 122 127 81 96 96 79 49
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 127 125 62 111 78 125 62 123 112 49 154 80 15 185 32 280 47 62 125 141 92 65 0 138 123
Character j e c t c h a n g e a s a f u n c t i o n
Milliseconds 185 93 187 202 77 154 80 76 108 61 62 61 154 91 64 139 62 109 109 124 0 201 78 60 78
Character o f t i m e ? H o w d o e s t h e l e
Milliseconds 93 126 77 47 155 78 75 79 202 140 229 282 74 107 108 108 92 79 47 138 77 96 60 218 79
Character v e - l o w - -w f w a t e r i n a b a
Milliseconds 169 46 170 417 249 108 153 112 120 234 108 126 92 93 78 109 76 172 92 91 77 122 31 200 76
Character r -r -a -b b a r r e l c h a n g e a s a f
Milliseconds 92 322 126 138 137 295 93 160 151 109 93 108 323 123 77 126 89 93 108 136 94 154 62 92 200
Character u n c t i o n o f t h e a m o u n t o f
Milliseconds 156 157 91 218 91 108 29 124 107 107 46 139 62 91 77 110 78 65 142 118 63 50 121 93 63
Character l i q u i d p o u r e d i n t o i t ? W e
Milliseconds 124 123 220 120 154 361 92 217 78 248 343 79 158 106 85 78 63 92 45 154 94 266 109 141 249
Character s e e c h a n g e o c c u r r i n g i n
Milliseconds 177 89 123 125 79 140 62 109 99 71 63 64 233 160 122 110 95 123 140 93 140 17 185 79 98
Character n e a r l y e v e r y t h i n g w e o b s e
Milliseconds 136 62 78 93 124 96 75 202 141 76 80 154 155 47 139 109 64 61 98 104 140 126 79 170 82
Character r e -e - v e i n t h e w o r l d a n d
Milliseconds 122 279 78 298 140 140 62 115 137 77 109 62 108 47 94 79 138 95 138 92 79 172 94 94 17
Character u n i v e r s e , a n d p o w e r f u l m o
Milliseconds 140 109 141 108 77 68 182 110 140 140 64 124 62 94 217 92 31 78 78 201 77 111 125 143 108
Character d e r n i n s t r u m e n t s h e l p u s
Milliseconds 93 154 80 123 126 138 78 94 125 155 95 187 79 92 108 96 61 170 94 31 177 151 172 94 79
Character s e e m o r e a n d m o r e . I n t h i
Milliseconds 139 141 125 126 124 75 31 47 62 95 98 91 77 141 61 79 30 125 80 175 183 15 109 92 172
Character s s e c t i o n w e i n t r o d u c e t h
Milliseconds 111 93 124 127 172 185 63 46 92 79 78 78 94 157 99 87 171 138 125 94 141 249 93 95 78
Character e i d e a s o a -a f a v e r a g e a n d
Milliseconds 185 310 156 107 79 94 124 106 141 171 313 80 124 94 233 92 78 265 266 93 124 108 78 95 61
Character i n s t a n t a n e o u s r a t e s o f c h
Milliseconds 95 95 33 263 65 92 263 93 282 139 210 139 181 110 235 91 140 140 252 169 110 48 94 108 79
Character a n g e , a n d h -h s h o w t h a t t h e
Milliseconds 106 110 93 61 64 63 188 186 31 126 142 374 123 108 93 78 96 76 108 80 47 108 93 124 32
Character y w - -w a r e c l o s e l y r e l a t e d
Milliseconds 170 170 203 233 140 155 80 125 63 76 125 46 157 47 94 157 139 63 171 47 93 112 74 172 203
Character t o t h e s l o p e o f a c u r v e
Milliseconds 63 124 30 127 61 94 93 95 78 109 156 173 106 48 114 89 63 125 63 156 78 106 171 78 126
Character a t a p o i n t P o n t h e c u r v e
Milliseconds 93 128 199 109 140 173 78 123 217 95 94 201 141 187 191 120 47 108 78 109 217 237 121 188 64
Character . W e g i v e p r e c i s e e -e d e v e l
Milliseconds 123 123 159 231 94 125 95 125 61 67 155 62 224 257 79 125 63 94 233 353 94 63 186 79 79
Character o p m e n t s o f t h e s e i m p o r a -a t
Milliseconds 188 158 311 78 621 206 76 77 124 93 48 141 123 77 156 93 125 62 126 140 61 108 234 342 140
Character a n t c c o n c -c -n -o -c o n c e p -p [ -[ [ t -t -[
Milliseconds 63 108 124 109 373 30 78 112 91 294 126 139 126 281 156 139 48 311 311 720 607 269 339 227 147
Character [ -[ p p -p t s i o -o -i o m t -t - -m -o i n m
Milliseconds 280 440 376 179 313 171 123 156 139 0 358 127 405 138 139 62 268 139 157 140 237 140 0 73 234
Character - - -m t h e n e x t c h a p t e r , b u t
Milliseconds 202 140 142 277 172 110 124 47 111 47 202 94 124 281 63 92 62 142 93 109 93 92 171 78 141
Character f o r n o w w e u s e a n i n f o r m
Milliseconds 109 92 109 78 77 157 78 48 93 93 77 141 127 78 62 108 110 78 142 105 31 49 125 62 94
Character a l a p p r o c a -a -c a c h s o y o u w i
Milliseconds 95 108 108 124 156 108 129 91 174 93 298 111 109 124 282 154 94 94 93 126 77 77 125 80 45
Character l l s e e h o w t h e y l e a d n a t u
Milliseconds 139 155 31 186 62 142 75 141 47 76 125 17 107 94 125 81 236 60 93 140 92 109 63 93 393
Character r a l l y t o t h e m a i n i d e a o f
Milliseconds 219 61 95 141 93 62 188 82 152 98 73 125 77 110 92 16 108 124 126 78 79 108 61 124 77
Character t h i s s -s c h a p t e r , t h e l i m i
Milliseconds 62 140 32 122 96 77 124 282 110 93 76 63 188 78 95 61 96 126 75 94 91 157 140 172 109
Character t . T h e i d e a o f a l i m i t p l
Milliseconds 79 93 92 251 204 77 95 141 113 90 111 62 125 78 78 170 46 234 155 93 139 78 78 92 140
Character a y s a f o u n d a t i o n a l r o l e t
Milliseconds 75 157 111 62 126 115 71 65 77 109 94 78 127 44 46 106 224 188 376 135 94 142 63 81 123
Character h r o u g h o u t c a l c u l u s , -, .
Milliseconds 77 265 47 125 124 77 172 158 105 110 249 46 31 235 63 368 266 93 268 452 265
WPM Timing
Seconds WPM
2.36 86.59
4.71 94.23
7.07 100.18
9.42 99.33
11.78 95.76
14.13 95.93
16.49 98.96
18.85 101.24
21.2 101.31
23.56 99.33
25.91 96.78
28.27 93.81
30.63 94.43
32.98 95.33
35.34 94.74
37.69 94.87
40.05 95.88
42.4 94.52
44.76 95.98
47.12 96.53
49.47 96.78
51.83 98.17
54.18 98.33
56.54 97.63
58.9 97.19
61.25 96.39
63.61 96.03
65.96 95.51
68.32 96.25
70.67 96.78
73.03 96.45
75.39 96.3
77.74 95.39
80.1 95.13
82.45 93.73
84.81 91.69
87.17 89.21
89.52 87.4
91.88 85.42
94.23 85.83
96.59 86.72
98.94 86.35
101.3 87.19
103.66 87.29
106.01 88.07
108.37 88.37
110.72 88.54
113.08 88.93
115.44 89.09
117.79 88.02