Neil (neil_dudheker)

Race #624

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Official speed 78.91 wpm (131.39 seconds elapsed during race)
Without ending ping 78.99 wpm (141 ms delay sending score to TypeRacer’s server)
Timerless 79.20 wpm (335 ms elapsed before first character typed; 130.91 seconds elapsed during race)
Timerless minus one 79.11 wpm, ignoring the first character typed
Race Start November 16, 2024 3:48:15am UTC
Race Finish November 16, 2024 3:50:26am UTC
Outcome No win (5 of 5)
Opponents 1. stupididiot9 (122.74 wpm)
2. mapra99 (104.51 wpm)
3. zoltanstudios (99.52 wpm)
4. vertlance (94.32 wpm)
Accuracy 98.4%
Points 213.05
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 Calculus is a tool that helps us understand how a chang e ini o one quantity is related to a change in another. How does the speed of a falling object change as a funciotion 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 everthiygthing we boobserve in the world and universe, and poiwwerful modern instrumetnnts help us see more and more. In this section we introduce the ideas of average and instantaneous rates of chagnge, and show that they are closely realtlated to the slope of a curve at a point P on the curve. WE e give precise developments of these timpimportant concepts in the next chapter, but for now we use an informal appraoach 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.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 335 170 131 164 167 70 178 169 127 108 91 115 113 115 185 63 165 198 91 144 72 63 68 102 156
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 179 84 160 149 104 132 79 122 199 151 83 173 76 163 136 69 123 130 100 148 71 82 111 100 97
Character c h a n g - e i n i o -o - -i o n e q u a
Milliseconds 175 94 85 116 119 138 429 49 67 165 82 0 135 116 331 143 212 232 167 79 123 111 419 100 117
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 99 194 77 149 185 292 204 39 115 116 82 117 64 317 179 173 81 105 62 85 87 446 136 132 65
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 118 90 126 83 124 52 105 156 120 96 131 83 101 55 144 67 236 274 109 100 152 111 84 114 85
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 105 83 128 127 182 75 114 154 157 93 131 52 119 53 128 281 104 116 150 139 65 111 86 184 584
Character j e c t c h a n g e a s a f u n c i o -o -i
Milliseconds 297 105 202 149 92 167 133 37 136 97 86 199 231 119 129 118 101 179 102 191 92 314 44 265 197
Character t i o n o f t i m e ? H o w d o e s t h
Milliseconds 177 118 53 57 149 111 83 84 179 42 81 60 599 218 267 183 168 119 312 78 108 122 78 128 90
Character e l e v e l o f w a t e r i n a b a r
Milliseconds 69 101 129 54 196 100 85 106 112 148 84 163 136 142 112 68 94 86 389 127 136 84 224 125 133
Character r e l c h a n g e a s a f u n c t i o n
Milliseconds 214 171 164 99 215 102 13 321 178 178 206 155 129 134 70 106 263 192 156 95 177 112 0 68 178
Character o f t h e a m o u n t o f l i q u i d p
Milliseconds 118 102 111 120 52 79 119 215 131 88 134 191 109 72 143 92 116 152 141 149 104 98 382 179 220
Character o u r e d i n t o i t > ? -? ? -? -> ? W e s
Milliseconds 119 162 200 104 338 209 177 97 116 75 70 167 131 424 0 468 411 680 123 597 273 461 163 191 82
Character e e c h a n g e o c c u r r i n g i n n e
Milliseconds 264 150 137 132 100 35 145 85 117 123 114 146 152 61 153 150 155 83 132 129 252 79 119 133 97
Character a r l y e v e r t h i -i -h -t y g -g t h i n g w
Milliseconds 88 122 115 172 58 198 197 139 100 214 164 110 283 131 125 267 301 271 157 160 115 103 100 131 117
Character e b o -o -b o b s e r v e i n t h e w o r l
Milliseconds 118 179 180 118 206 116 232 86 245 121 87 291 116 104 98 53 100 67 103 15 131 168 65 117 183
Character d a n d u n i v e r s e , a n d p o i w -w
Milliseconds 187 371 186 153 68 91 289 184 74 96 119 98 141 140 169 74 214 77 120 52 189 75 148 65 322
Character -i w e r f u l m o d e r n i n s t r u m e t n
Milliseconds 128 94 47 126 281 142 59 148 295 108 154 188 95 122 143 201 51 213 154 166 159 201 95 181 93
Character -n -t n t s h e l p u s s e e m o r e a n
Milliseconds 228 129 192 85 171 113 185 122 12 224 255 184 120 108 222 171 182 199 188 96 90 64 96 147 71
Character d m o r e . I n t h i s s e c t i o n w
Milliseconds 135 3 173 111 133 84 142 88 244 210 100 160 82 68 84 131 120 133 194 175 97 50 73 123 189
Character e i n t r o d u c e t h e i d e a s o f
Milliseconds 97 140 132 78 178 157 84 233 133 95 170 133 84 70 47 113 141 100 168 80 170 136 146 60 120
Character a v e r a g e a n d i n s t a n t a n e o u s
Milliseconds 162 246 197 96 134 170 100 144 149 101 97 60 235 61 110 185 103 137 141 187 203 246 108 110 117
Character r a t e s o f c h a g -g n g e , a n d s
Milliseconds 99 129 112 143 99 190 275 155 132 80 240 101 53 269 271 185 83 215 204 129 87 114 67 60 165
Character h o w t h a t t h e y a r e c l o s e l y
Milliseconds 93 50 117 104 112 63 39 181 133 337 99 105 78 133 50 212 83 119 349 136 247 123 311 244 260
Character r e a l t -t -l -a l a t e d t o t h e s l o
Milliseconds 71 158 102 114 0 291 255 127 176 219 67 166 109 210 101 130 43 75 114 75 87 41 205 117 191
Character p e o f a c u r v e a t a p o i n t
Milliseconds 84 150 146 121 87 113 71 99 414 106 114 205 130 140 95 152 92 90 112 196 75 96 102 100 128
Character P o n t h e c u r v e . W E - -E e g i
Milliseconds 246 194 153 91 78 157 68 85 88 176 119 113 219 147 117 105 318 99 231 263 125 97 101 178 140
Character v e p r e c i s e d e v e l o p m e n t s o
Milliseconds 132 115 103 92 134 617 251 142 177 133 153 245 221 146 124 92 136 97 184 188 170 107 173 113 107
Character f t h e s e t i m p -p -m -i -t i m p o r t a n t
Milliseconds 92 82 394 110 68 136 84 308 143 63 98 124 275 151 140 126 237 109 168 92 175 198 105 107 92
Character c o n c e p t s i n t h e n e x t c h a
Milliseconds 104 158 59 93 109 191 142 148 192 172 120 69 108 118 85 71 45 153 0 294 219 89 218 111 96
Character p t e r , b u t f o r n o w w e u s e
Milliseconds 160 160 118 97 218 83 218 97 116 54 163 119 100 56 144 74 76 118 194 178 177 232 88 152 151
Character a n i n f o r m a l a p p r a -a o a c h s o
Milliseconds 212 89 127 189 81 144 157 406 94 142 136 167 134 118 161 121 122 494 221 80 240 129 111 215 74
Character y o u w i l l s e e h o w t h e y l e
Milliseconds 97 189 80 83 102 136 97 220 153 109 181 182 182 88 183 32 101 178 140 62 122 114 81 143 88
Character a d n a t u r a l l y t o t h e m a i n
Milliseconds 106 168 98 162 101 126 111 95 143 78 163 191 77 153 46 102 135 79 20 129 143 100 77 48 105
Character i d e a o f t h i s c h a p t e r , t h e
Milliseconds 165 122 198 64 131 104 116 47 180 71 89 121 86 167 115 72 628 244 127 135 254 96 146 67 91
Character l i m i t . T h e i d e a o f a l i m
Milliseconds 61 101 119 95 134 117 120 98 292 205 104 151 139 130 163 101 132 160 89 80 235 158 231 153 108
Character i t p l a y s a f o u n d a t i o n a l r
Milliseconds 120 164 125 196 113 265 177 225 105 131 128 223 129 87 180 103 113 168 84 67 66 228 491 163 255
Character o l e t h r o u g h o u t c a l c u l u s .
Milliseconds 92 156 49 89 182 83 112 33 114 109 116 116 128 119 94 207 98 70 195 107 113 174 215 187
WPM Timing
Seconds WPM
2.63 77.63
5.26 89.05
7.88 88.29
10.51 78.77
13.14 80.37
15.77 82.96
18.39 85.46
21.02 83.34
23.65 82.71
26.28 80.83
28.91 82.61
31.53 82.58
34.16 81.85
36.79 83.5
39.42 82.5
42.04 78.77
44.67 77.36
47.3 78.39
49.93 76.19
52.56 75.12
55.18 75.67
57.81 76.18
60.44 76.04
63.07 75.35
65.7 75.8
68.32 76.58
70.95 77.29
73.58 77.79
76.21 77.79
78.83 77.78
81.46 78.07
84.09 77.06
86.72 77.77
89.35 77.9
91.97 77.76
94.6 77.38
97.23 77.38
99.86 76.55
102.48 77.05
105.11 77.29
107.74 77.63
110.37 77.09
113 77.31
115.62 77.84
118.25 78.54
120.88 78.62
123.51 78.7
126.13 78.58
128.76 78.66
131.39 78.91