Paratentacle (paratentacle)

Race #165

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Official speed 75.20 wpm (137.87 seconds elapsed during race)
Without ending ping 75.33 wpm (239 ms delay sending score to TypeRacer’s server)
Timerless 75.55 wpm (402 ms elapsed before first character typed; 137.23 seconds elapsed during race)
Timerless minus one 75.46 wpm, ignoring the first character typed
Race Start April 21, 2024 12:16:28am UTC
Race Finish April 21, 2024 12:18:46am UTC
Outcome No win (4 of 5)
Opponents 1. jgb000 (88.01 wpm)
2. aulaman (81.74 wpm)
Accuracy 95.5%
Points 203.05
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 Calculisus ios s a tool that helps uiss understand how a change in one quantiytyi s is related to a hangchagnge in another. How does the speed of a falling object change as afu function of time? How does the level of water in a bareelrel change as a function of the maamoutnnt pof of liquid apoured into it? wWE e sheee change occurinring in nearltyy everything we observe in the woorld and universe, and powerful modern instruments help us esee more and more. In thsiis section we introduce tihe idea s of average naand instanteaaaneous rate ofss of chahange, and wshow show that they are closely realtlated to trhe tthe lsslope of a curve tat a point P on the fucurtvve. We give preciesse developments of these important concepts in the mnext chapter, but for now we use an imfrnformal approach so you will see how they lead naturally to hthe main idea of this chapter , the limity.. The idea of a limit playes a fonaundational role throughout calcuylus.
Timing
Character C a l c u l i s -s -i u s i o s - -s -o s a t
Milliseconds 402 98 85 114 262 139 146 193 138 149 129 101 106 90 45 159 166 201 134 135 114 65 192 111 114
Character o o l t h a t h e l p s u i s -s -i s u n d
Milliseconds 107 145 220 285 73 139 39 99 58 103 105 84 180 89 58 133 0 102 300 125 65 125 242 164 26
Character e r s t a n d h o w a c h a n g e i n o
Milliseconds 188 104 305 63 128 100 83 97 104 67 58 108 148 128 153 122 55 127 59 76 136 125 113 109 113
Character n e q u a n t i y -y t y i s -s - -i i s r e
Milliseconds 69 36 95 454 109 133 76 513 178 311 264 83 147 104 57 224 291 113 297 269 117 63 83 242 61
Character l a t e d t o a h a n g -g -n -a -h c h a g -g n
Milliseconds 149 48 122 236 169 110 55 100 64 211 159 214 63 120 115 202 141 143 121 64 114 63 111 312 161
Character g e i n a n o t h e r . H o w d o e s t
Milliseconds 61 55 120 84 104 37 124 99 108 36 97 79 83 73 113 164 92 83 95 116 152 102 48 112 193
Character h e s p e e d o f a f a l l i n g o b j
Milliseconds 93 149 24 113 98 150 172 208 36 45 141 106 106 141 177 121 64 174 89 89 51 114 99 116 173
Character e c t c h a n g e a s a f u -u -f f u n c t
Milliseconds 94 289 187 100 176 125 61 117 39 100 99 97 113 112 112 159 248 255 122 126 165 72 139 94 165
Character i o n o f t i m e ? H o w d o e s t h e
Milliseconds 34 82 70 131 61 109 96 53 129 94 23 237 153 163 94 128 78 116 108 82 40 91 59 117 35
Character l e v e l o f w a t e r i n a b a r e
Milliseconds 98 94 92 240 214 199 195 156 102 79 113 92 127 109 107 74 120 77 78 124 114 149 282 270 163
Character e l -l -e -e r e l c h a n g e a s a f u n c
Milliseconds 150 120 266 135 80 205 82 146 273 415 84 56 115 59 90 128 109 112 112 123 129 70 124 125 93
Character t i o n o f t h e m a -a -m a m o u t n -n -t n
Milliseconds 177 56 57 89 81 130 64 121 52 163 63 260 191 35 320 52 64 203 113 103 127 75 349 113 183
Character t p o f - -f -o -p o f l i q u i d a -a p o u
Milliseconds 37 71 78 0 119 36 242 138 118 113 196 84 102 29 140 180 158 145 63 116 85 299 218 116 236
Character r e d i n t o i t ? w -w W E - -E e s h e
Milliseconds 100 99 155 329 120 95 130 168 36 151 97 391 411 140 299 147 211 174 351 120 93 124 95 140 212
Character -e -h e e c h a n g e o c c u r i n -n -i r i n g
Milliseconds 230 117 71 146 97 196 109 31 110 82 75 118 442 109 185 173 140 103 113 189 116 71 130 38 51
Character i n n e a r l t y -y -t y e v e r y t h i n g
Milliseconds 77 130 107 281 196 39 110 177 15 311 0 350 153 65 128 123 195 77 103 97 77 143 129 30 24
Character w e o b s e r v e i n t h e w o -o o r l
Milliseconds 106 286 63 124 350 154 77 281 184 231 57 102 143 64 88 28 171 53 132 100 44 247 406 87 132
Character d a n d u n i v e r s e , a n d p o w e r
Milliseconds 64 110 94 113 76 47 330 153 82 87 164 112 120 96 157 80 119 137 97 37 267 164 165 79 94
Character f u l m o d e r n i n s t r u m e n t s h e
Milliseconds 299 111 112 122 180 86 99 137 68 110 112 138 101 116 124 96 84 185 82 124 23 104 117 65 158
Character l p u s e -e s e e m o r e a n d m o r e
Milliseconds 100 167 94 686 64 82 122 366 80 66 165 82 122 98 62 42 461 115 102 85 84 248 86 52 80
Character . I n t h s i -i -s i s s e c t i o n w e
Milliseconds 101 99 169 106 93 74 100 149 94 234 105 203 63 42 134 53 203 184 59 62 96 114 64 121 132
Character i n t r o d u c e t i -i h e i d e a - s o
Milliseconds 113 100 67 54 134 122 130 114 100 128 75 197 385 171 41 107 113 108 155 87 179 257 48 122 144
Character f a v e r a g e n a -a -n a n d i n s t a n t
Milliseconds 466 97 527 165 170 95 63 151 51 121 135 33 374 128 64 95 63 72 87 101 58 151 95 159 154
Character e a -a a -a -e a n e o u s r a t e o f -f -o s -s -
Milliseconds 266 147 188 115 113 123 94 124 31 346 95 61 111 178 124 133 42 120 119 182 143 158 115 26 310
Character s o f c h a -a h -h a n g e , a n d w s h o
Milliseconds 99 97 194 62 80 274 141 0 234 339 254 229 183 69 65 158 173 107 123 63 98 128 0 145 62
Character w - -w -o -h -s -w s h o w t h a t t h e y a r
Milliseconds 92 86 140 113 144 135 120 170 113 131 83 80 71 124 112 60 116 111 382 242 101 107 78 157 115
Character e c l o s e l y r e a l t -t -l -a l a t e d t
Milliseconds 92 86 116 99 153 217 54 315 66 179 67 159 84 142 104 249 162 103 190 152 97 75 171 105 84
Character o t r -r -t h e - -e t -t -h t h e l s -s -l s l o
Milliseconds 156 95 27 7 287 134 259 109 58 151 120 194 78 127 142 85 62 71 138 26 270 136 99 129 117
Character p e o f a c u r v e t -t a t a p o i n
Milliseconds 117 135 58 122 79 124 93 163 111 158 139 174 115 106 184 276 75 127 27 517 152 94 59 130 101
Character t P o n t h e f u -u -f c u r t v -v -t v e .
Milliseconds 72 69 242 112 148 94 124 141 116 68 57 131 95 255 160 356 99 120 0 158 176 280 119 55 111
Character W e g i v e p r e c i e s -s -e s e d e v e
Milliseconds 112 219 182 174 66 243 109 64 64 132 261 55 250 151 66 67 532 161 143 55 112 255 168 117 60
Character l o p m e n t s o f t h e s e i m p o r t a
Milliseconds 121 185 138 190 97 102 75 98 142 32 171 100 114 135 57 226 96 127 96 128 108 63 125 179 70
Character n t c o n c e p t s i n t h e m -m n e x t
Milliseconds 78 98 82 180 104 100 83 85 117 112 162 111 156 68 80 75 132 75 60 143 199 159 36 191 289
Character c h a p t e r , b u t f o r n o w w e
Milliseconds 63 276 122 174 115 87 148 119 67 138 127 83 90 101 63 114 116 30 101 105 33 137 215 98 195
Character u s e a n i m f r -r -f -m n f o r m a l a p p
Milliseconds 206 97 53 134 301 0 65 562 110 87 333 173 136 136 147 101 104 130 97 101 91 98 112 95 162
Character r o a c h s o y o u w i l l s e e h o w
Milliseconds 108 119 136 130 155 64 146 105 77 140 127 38 88 98 65 172 140 57 71 100 172 105 177 127 128
Character t h e y l e a d n a t u r a l l y t o h
Milliseconds 53 113 107 97 98 80 308 63 70 132 84 129 93 123 114 103 106 98 150 33 151 131 124 100 385
Character -h t h e m a i n i d e a o f t h i s c h
Milliseconds 192 99 122 54 72 104 73 115 67 374 189 107 144 126 66 104 102 408 123 141 65 62 82 152 106
Character a p t e r - , t h e l i m i t y . -. -y . T
Milliseconds 67 109 98 86 120 167 351 231 52 74 115 97 43 122 62 203 83 133 330 158 202 118 180 95 243
Character h e i d e a o f a l i m i t p l a y e -e
Milliseconds 105 134 34 132 90 164 92 141 35 465 164 50 172 129 157 216 87 123 66 103 190 96 64 102 301
Character s a f o n a -a -n u n d a t i o n a l r o l e
Milliseconds 117 55 125 114 161 93 105 131 332 132 255 172 100 58 126 75 337 132 96 111 43 115 104 159 60
Character t h r o u g h o u t c a l c u y -y l u s .
Milliseconds 110 68 113 124 65 67 131 117 173 110 68 134 239 113 130 122 184 0 299 482 143 102 108
WPM Timing
Seconds WPM
2.76 43.52
5.51 67.45
8.27 71.08
11.03 75.07
13.79 66.15
16.54 65.28
19.3 70.87
22.06 75.61
24.82 76.4
27.57 77.9
30.33 80.71
33.09 78.33
35.85 80.34
38.6 78.33
41.36 76.59
44.12 75.61
46.88 73.21
49.63 73.5
52.39 73.75
55.15 74.42
57.91 74.81
60.66 75.56
63.42 75.87
66.18 76.34
68.94 77.11
71.69 76.83
74.45 75.75
77.21 75.69
79.97 74.88
82.72 73.84
85.48 73.7
88.24 73.3
91 72.53
93.75 72.7
96.51 72.86
99.27 72.17
102.03 71.86
104.78 72.49
107.54 73.54
110.3 73.76
113.06 73.88
115.81 73.88
118.57 74.69
121.33 74.87
124.09 75.34
126.84 75.31
129.6 75.19
132.36 75.07
135.11 75.49
137.87 75.2