Dylan (dilly1)

Race #7875

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Official speed 82.43 wpm (125.78 seconds elapsed during race)
Without ending ping 82.53 wpm (149 ms delay sending score to TypeRacer’s server)
Timerless 82.80 wpm (408 ms elapsed before first character typed; 125.22 seconds elapsed during race)
Timerless minus one 82.70 wpm, ignoring the first character typed
Race Start September 29, 2023 7:46:43pm UTC
Race Finish September 29, 2023 7:48:49pm UTC
Outcome No win (3 of 4)
Opponents 1. exyia (92.32 wpm)
2. raceralex5555 (85.62 wpm)
4. jmbogo19 (81.72 wpm)
Accuracy 97.4%
Points 222.56
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 undersatand how ta change in one quantity is related to a change in another. How does the speed of a falling object change as a fucntionnction of time? How does the level of water ina b a barrel change as a function of the amount of luiquicd poured into it? We see change ooccccurring in nearly everything we observe inthe the world and universe, and powerful modern instruments hleelp use see more and more. In this section we introduce the ideas of avearage and insatntantantaneous rates of change, and show that hthey are clsoosely related to the slope of a curve at t aa point P on the curve. We give precise edevelopments of these important concepts in the next chanpter, but for now we use an informal approach so you will nssee how they ellead naturally to the main idea of this chanpter, the limit. The idea of a limit plays a foundational role rthroughout calculauus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 408 368 180 250 83 213 255 106 124 176 93 87 75 130 320 64 105 156 106 107 95 5 75 98 120
Character e l p s u s u n d e r s a -a t a n d h o w
Milliseconds 116 81 98 89 125 130 95 93 160 168 82 149 102 190 157 325 68 58 150 103 88 160 76 87 96
Character t -t a c h a n g e i n o n e q u a n t i t
Milliseconds 109 424 117 71 177 97 77 79 108 89 81 125 74 80 207 82 107 84 236 142 181 124 215 47 152
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 99 121 137 96 90 130 83 125 371 185 155 154 49 142 47 69 79 87 103 81 81 62 121 89 55
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 112 101 73 95 109 124 136 101 72 77 87 45 186 85 101 93 106 90 83 73 79 132 65 91 40
Character s p e e d o f a f a l l i n g o b j e c t
Milliseconds 173 107 92 124 156 80 142 82 80 76 80 300 60 97 110 159 85 118 83 86 150 135 68 20 197
Character c h a n g e a s a f u c n t i o n -n -o -i -t
Milliseconds 66 471 97 73 108 59 89 101 111 111 125 51 87 88 87 152 0 189 36 3 79 211 91 104 121
Character -n -c n c t i o n o f t i m e ? H o w d o e
Milliseconds 127 110 197 99 187 20 20 40 200 95 110 85 202 5 123 208 867 108 239 281 88 147 349 110 74
Character s t h e l e v e l o f w a t e r i n a
Milliseconds 98 85 125 48 109 37 172 57 119 87 108 84 122 81 70 96 79 211 136 60 101 97 87 96 9
Character b -b - -a a b a r r e l c h a n g e a s a
Milliseconds 230 204 103 101 168 107 118 209 90 203 98 185 98 89 139 73 51 115 89 87 65 160 93 174 32
Character f u n c t i o n o f t h e a m o u n t o
Milliseconds 125 100 106 155 227 274 84 13 72 235 140 105 92 297 80 84 93 199 60 160 61 173 108 60 116
Character f l u -u i q u i c -c d p o u r e d i n t o
Milliseconds 118 90 113 193 305 163 216 108 55 209 342 62 119 178 82 131 162 216 201 81 145 72 127 52 100
Character i t ? W e s e e c h a n g e o o c c -c -c -o
Milliseconds 156 108 245 99 272 355 214 130 252 127 68 124 97 64 109 87 97 62 185 151 53 120 257 98 119
Character c c u r r i n g i n n e a r l y e v e r y t
Milliseconds 57 124 198 418 108 137 59 140 114 623 82 81 160 87 74 98 53 183 132 151 125 85 103 85 144
Character h i n g w e o b s e r v e i n t h e -e -h -t
Milliseconds 71 79 113 41 118 83 148 81 190 237 245 185 103 222 87 104 91 80 138 92 83 233 178 212 209
Character t h e w o r l d a n d u n i v e r s e , a
Milliseconds 131 100 95 79 107 80 106 87 89 101 126 80 116 68 206 174 106 104 156 90 133 115 190 25 150
Character n d p o w e r f u l m o d e r n i n s t r u
Milliseconds 67 137 33 268 41 126 76 88 178 57 153 101 131 371 257 147 89 135 99 141 63 340 183 108 68
Character m e n t s h l e -e -l e l p u s e -e s e e m
Milliseconds 226 105 136 71 154 92 177 275 113 274 112 130 71 103 169 232 105 298 361 164 103 219 106 175 182
Character o r e a n d m o r e . I n t h i s s e c
Milliseconds 82 49 40 92 293 67 130 90 106 70 116 17 134 72 189 142 116 136 69 55 130 103 100 254 174
Character t i o n w e i n t r o d u c e t h e i d e
Milliseconds 203 48 51 41 149 174 153 100 187 59 88 113 127 117 146 89 131 113 122 47 95 41 146 65 140
Character a s o f a v e a -a r a g e a n d i n s a t
Milliseconds 101 158 156 191 122 171 456 213 126 426 346 86 111 234 97 110 146 102 96 77 111 77 83 185 0
Character n -n -t t a n -n -a -t -a t a n t a n e o u s r a t e
Milliseconds 156 301 99 123 57 139 162 91 114 115 81 33 111 142 109 491 244 296 147 149 557 179 43 211 103
Character s o f c h a n g e , a n d s h o w t h a
Milliseconds 94 156 152 101 87 164 56 99 292 91 73 141 79 112 89 93 74 129 109 82 95 102 133 61 51
Character t h -h t h e y a r e c l s o -o -s o s e l y
Milliseconds 77 84 214 283 103 91 84 88 104 95 158 58 72 155 92 213 86 271 78 192 70 82 442 520 204
Character r e l a t e d t o t h e s l o p e o f a
Milliseconds 326 37 162 93 155 119 168 71 135 48 56 122 82 69 88 188 84 143 91 149 202 183 81 101 39
Character c u r v e a t t a -a - -t a p o i n t P
Milliseconds 99 88 107 83 182 64 113 122 233 103 84 106 20 346 88 128 6 199 334 76 79 69 65 150 366
Character o n t h e c u r v e . W e g i v e p r
Milliseconds 129 176 93 67 114 77 85 51 94 123 66 194 55 168 50 243 180 94 493 101 85 48 97 232 72
Character e c i s e e -e d e v e l o p m e n t s o f t
Milliseconds 65 209 100 112 345 161 226 284 52 151 155 128 165 174 71 249 38 146 43 176 78 168 74 91 115
Character h e s e i m p o r t a n t c o n c e p t s i
Milliseconds 51 91 104 88 111 149 107 119 104 54 159 79 269 108 107 243 104 48 147 85 211 180 183 68 110
Character n t h e n e x t c h a n -n p t e r , b u t
Milliseconds 82 32 98 100 48 96 124 50 130 226 84 113 69 41 153 251 220 123 208 224 146 41 200 129 68
Character f o r n o w w e u s e a n i n f o r m
Milliseconds 88 89 88 71 101 107 67 94 122 185 536 187 177 66 83 101 79 128 91 145 96 149 107 98 75
Character a l a p p r o a c h s o y o u w i l l n
Milliseconds 113 117 163 241 132 117 177 117 166 270 109 85 314 52 123 190 71 97 85 108 97 169 111 116 143
Character s -s -n s e e h o w t h e y e l -l -e l e a d
Milliseconds 89 271 87 118 183 154 96 192 66 95 99 244 46 85 85 101 126 110 245 94 159 75 64 118 188
Character n a t u r a l l y t o t h e m a i n i d e
Milliseconds 219 46 217 83 79 125 101 109 163 95 207 55 70 70 114 46 81 101 146 59 64 131 146 139 160
Character a o f t h i s c h a n -n p t e r , t h e
Milliseconds 66 131 147 63 117 92 84 82 76 514 237 97 46 145 271 149 134 190 141 147 30 158 62 98 64
Character l i m i t . T h e i d e a o f a l i m i
Milliseconds 338 115 165 143 161 129 566 238 90 67 95 92 122 412 69 166 117 92 91 47 117 390 144 151 147
Character t p l a y s a f o u n d a t i o n a l r o
Milliseconds 189 135 215 107 118 219 143 120 232 118 199 57 81 160 65 105 209 45 15 36 147 104 135 190 136
Character l e r -r t h r o u g h o u t c a l c u l a u -u
Milliseconds 141 72 141 138 315 165 56 97 76 68 146 78 257 79 83 115 121 85 131 163 133 582 61 177 230
Character -a u s .
Milliseconds 80 163 60 78
WPM Timing
Seconds WPM
2.52 62.01
5.03 83.48
7.55 77.91
10.06 83.48
12.58 86.82
15.09 93.02
17.61 96.09
20.12 96
22.64 92.22
25.16 88.73
27.67 89.77
30.19 89.44
32.7 89.9
35.22 88.59
37.73 87.77
40.25 87.36
42.76 84.74
45.28 86.39
47.8 84.36
50.31 85.39
52.83 85.41
55.34 85.43
57.86 83.38
60.37 84.27
62.89 84.91
65.41 84.95
67.92 84.27
70.44 82.29
72.95 81.92
75.47 82.53
77.98 82.02
80.5 81.99
83.01 82.54
85.53 81.8
88.05 82.18
90.56 81.62
93.08 82.38
95.59 82.85
98.11 82.68
100.62 82.88
103.14 82.96
105.65 82.8
108.17 82.65
110.69 83.26
113.2 83
115.72 82.75
118.23 82.72
120.75 82.78
123.26 82.85
125.78 82.43