Dylan (dylan_1231)

Race #316

View Pit Stop page for race #316 by dylan_1231 — Ghost race

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Official speed 63.25 wpm (163.92 seconds elapsed during race)
Without ending ping 64.81 wpm (3,935 ms delay sending score to TypeRacer’s server)
Timerless 65.22 wpm (1,006 ms elapsed before first character typed; 158.98 seconds elapsed during race)
Timerless minus one 65.14 wpm, ignoring the first character typed
Race Start October 5, 2023 4:36:04am UTC
Race Finish October 5, 2023 4:38:48am UTC
Outcome No win (2 of 4)
Opponents 1. 3xx8iycrr3xyxs2 (91.72 wpm)
Accuracy 94.6%
Points 170.79
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 Cacllculus is a tool that helps us suundestarstand how a chnagange in one quantity is related to a cahhange in anohtether. How does th ee spee dd 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 piooured into it>? We see chang ee occuririjg ng in nearly everything w eoe observe uin te wo\\\he world and universe,an]\ and powerful modern instrument ss help us see more and more. In this e\sescetection we introduce the ideaws of average and instantaneous rates of change, ad\n\nd show that they are closely related to teh \he slope of a cuyc\curve at a ppoint P on the curve. We give precise devlopelopments of these timportabt e\nt conce[ts\pts in teh=he next w\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 fundoundational role throughout caclculus/\s/\\...
Timing
Character C a c l -l -c l c u l u s i s a t o o l t h
Milliseconds 1006 586 171 117 463 150 395 167 115 189 416 122 41 127 48 95 92 95 142 55 140 167 132 112 84
Character a t h e l p s u s s u -u -s u n d e s t a -a -t
Milliseconds 59 85 44 127 98 73 144 107 62 237 96 48 158 152 238 147 289 140 60 153 402 200 141 202 150
Character -s r s t a n d h o w a c h n a g -g -a -n a n g
Milliseconds 142 269 186 189 141 82 86 95 202 155 97 48 114 65 128 59 153 0 251 166 152 137 190 112 132
Character e i n o n e q u a n t i t y i s r e l a
Milliseconds 126 100 150 155 94 111 181 84 47 103 79 330 106 250 88 84 133 78 121 121 34 175 145 146 51
Character t e d t o a c a h -h -a h a n g e i n a n
Milliseconds 76 176 161 41 119 61 53 250 571 171 140 12 424 127 188 75 122 110 114 15 125 163 61 114 95
Character o h t e -e -t -h t h e r . H o w d o e s t h
Milliseconds 169 158 15 188 262 155 111 174 77 108 134 69 162 184 183 127 38 165 62 122 106 0 180 374 135
Character e -e - e s p e e d -d - d o f a f a l l i
Milliseconds 101 249 141 100 63 132 129 281 164 108 192 280 143 73 78 133 62 67 125 55 217 122 0 218 281
Character n g o b j e c t c h a n g e a s a f u n
Milliseconds 140 101 37 126 174 295 80 106 169 93 148 61 128 41 127 138 29 292 53 91 168 34 260 52 132
Character c t i o n o f t i m e ? H o w d o e s t
Milliseconds 576 175 50 165 133 161 460 71 80 141 50 130 77 446 225 260 165 97 129 146 107 102 143 86 82
Character h e l e v e l o f w a t e r i n a b a
Milliseconds 81 79 48 171 126 115 109 103 140 209 108 41 208 155 113 181 150 82 110 166 103 38 148 553 59
Character r r e l c h a n g e a s a f u n c t i o n
Milliseconds 160 151 183 87 159 637 112 91 93 77 105 76 116 139 22 190 54 223 93 137 87 170 62 162 150
Character o f t h e a m o u n t o f l i q u i d
Milliseconds 96 116 104 55 120 48 100 39 129 138 234 161 146 98 92 155 57 83 245 171 105 185 174 182 74
Character p i o -o -i o u r e d i n t o i t > -> ? W e
Milliseconds 230 174 0 379 216 262 181 102 173 139 64 92 181 119 83 94 150 133 258 541 307 214 365 235 120
Character s e e c h a n g e -e - e o c c u r i -i r i j
Milliseconds 216 139 163 80 96 128 0 136 77 133 46 289 164 95 73 310 107 361 187 104 80 304 120 93 142
Character g - -g -j n g i n n e a r l y e v e r y t h
Milliseconds 117 71 198 143 1982 1242 185 943 2905 179 170 109 49 144 74 79 155 101 83 123 96 63 47 135 32
Character i n g w e o -o -e - e o b s e r v e u -u i n
Milliseconds 179 179 68 93 98 103 102 193 207 136 571 507 95 171 219 120 185 109 96 146 119 634 294 317 195
Character t e w o \ \ \ -\ -\ -\ -o -w - -e h e w o r l d
Milliseconds 85 169 398 103 113 110 211 0 0 0 0 0 0 135 140 152 211 277 95 111 99 121 72 128 104
Character a n d u n i v e r s e , a n ] \ -\ -] -n -a a n d
Milliseconds 168 85 100 67 181 167 176 41 116 35 179 207 103 280 82 358 313 0 0 138 153 351 117 97 57
Character p o w e r f u l m o d e r n i n s t r u m e
Milliseconds 77 174 168 0 178 102 127 64 181 165 138 208 23 157 57 60 81 150 180 341 169 145 54 181 106
Character n t s -s - s h e l p u s s e e m o r e
Milliseconds 96 78 123 17 554 129 409 149 89 173 62 146 187 164 109 92 262 165 126 54 89 163 68 54 133
Character a n d m o r e . I n t h i s e \ s e -e -s -\
Milliseconds 75 79 64 93 119 185 60 92 68 103 188 267 193 66 80 158 68 110 221 366 0 179 210 131 145
Character -e s c e t -t -e -c e c t i o n w e i n t r o d u
Milliseconds 0 258 162 17 183 403 118 131 278 104 75 75 155 203 417 133 169 90 139 161 48 158 58 122 99
Character c e t h e i d e a w -w s o f a v e r a g e
Milliseconds 60 122 93 83 94 58 85 142 54 134 345 157 554 249 177 187 96 216 57 144 123 76 144 55 136
Character a n d i n s t a n t a n e o u s r a t e s
Milliseconds 84 101 62 89 72 180 187 39 137 140 63 188 191 79 251 318 203 133 108 51 121 122 84 137 65
Character o f c h a n g e , a d \ -\ n \ -\ -n -d n d s h
Milliseconds 169 71 118 62 91 39 137 63 100 94 96 130 174 374 0 0 420 0 0 230 463 86 351 119 70
Character o w t h a t t h e y a r e c l o s e l y
Milliseconds 183 120 101 112 91 80 115 18 412 53 80 89 168 59 85 89 35 177 41 167 15 164 61 98 117
Character r e l a t e d t o t e h \ -\ - -h -e h e s l
Milliseconds 98 76 137 65 103 82 159 72 103 76 161 23 130 15 174 274 0 0 24 123 164 212 100 117 76
Character o p e o f a c u y -y -u c \ -\ -c -c c u r v e
Milliseconds 154 147 81 101 151 45 144 27 107 99 175 0 376 189 551 391 0 0 182 610 81 51 119 117 125
Character a t a p p -p o i n t P o n t h e c u r
Milliseconds 145 192 79 93 58 153 189 436 276 189 177 83 101 1212 205 81 189 137 49 116 15 126 51 110 66
Character v e . W e g i v e p r e c i s e d e v l o
Milliseconds 128 97 98 226 525 187 81 84 96 75 95 97 215 132 117 106 80 106 146 87 385 196 84 103 189
Character p -p -o -l e l o p m e n t s o f t h e s e t -t
Milliseconds 113 255 135 126 336 105 165 118 210 101 130 87 143 74 154 68 118 58 100 0 166 162 74 91 361
Character i m p o r t a b t e \ -\ -e - -t -b n t c o n c e
Milliseconds 267 157 193 143 120 91 126 94 82 82 119 243 0 0 114 142 463 247 77 93 80 80 190 70 125
Character [ t s \ -\ -s -t -[ p t s i n t e h = -= -h -e h e
Milliseconds 106 95 155 196 0 0 133 116 467 61 152 91 686 187 82 95 109 0 383 34 94 393 373 94 117
Character n e x t w \ -\ -w c h a p t e r , b u t f o r
Milliseconds 107 67 136 100 164 84 283 0 0 484 85 88 125 62 114 98 81 264 450 166 90 105 83 96 83
Character n o w w e u s e a n i n f o r m a l a
Milliseconds 95 108 185 118 234 89 166 59 158 79 163 69 111 58 114 160 195 88 122 57 134 109 73 168 77
Character p p r o a c h s o y o u w i l l s e e h
Milliseconds 243 165 361 131 87 104 92 193 131 74 187 92 100 161 148 73 101 177 103 159 109 185 137 76 367
Character o w t h e y l e a d n a t u r a l l y t o
Milliseconds 192 115 147 282 95 69 112 154 197 33 168 82 96 306 85 99 118 50 140 187 138 94 111 194 55
Character t h e m a i n i d e a o f t h i s c h
Milliseconds 161 92 92 47 135 134 91 114 140 94 162 57 112 139 39 185 100 98 96 59 219 177 99 133 71
Character a p t e r . -. , t h e l i m i t . T h e i
Milliseconds 113 100 70 100 88 61 328 459 62 106 97 95 86 172 204 175 176 100 86 161 182 192 195 95 174
Character d e a o f a l i m i t p l a y s a f u
Milliseconds 33 151 176 77 151 92 102 60 81 133 179 161 182 106 45 209 149 102 118 113 66 106 57 118 90
Character n d -d -n -u o u n d a t i o n a l r o l e t h r
Milliseconds 153 14 341 132 112 357 198 163 73 126 282 131 146 196 118 78 146 112 72 126 82 128 126 87 115
Character o u g h o u t c a c -c l c u l u s / \ -\ -/ s / \
Milliseconds 80 162 142 62 183 172 88 117 133 165 151 541 300 56 119 139 142 51 158 434 0 0 631 112 703
Character -\ \ -\ . . -s -. -. -/ .
Milliseconds 0 0 0 0 203 1716 157 163 107 713
WPM Timing
Seconds WPM
3.28 18.3
6.56 60.39
9.84 50.02
13.11 56.73
16.39 64.42
19.67 62.23
22.95 62.75
26.23 64.51
29.51 66.29
32.78 66.98
36.06 69.88
39.34 70.46
42.62 72.64
45.9 71.9
49.18 70.77
52.45 68.4
55.73 64.81
59.01 61.41
62.29 62.42
65.57 61.13
68.85 60.13
72.13 59.9
75.4 61.11
78.68 61.16
81.96 62.66
85.24 61.24
88.52 61.95
91.8 62.88
95.07 63.87
98.35 63.69
101.63 64.7
104.91 64.28
108.19 63.89
111.47 64.06
114.74 64.21
118.02 64.36
121.3 64.01
124.58 63.19
127.86 63.07
131.14 63.69
134.42 64.37
137.69 64.75
140.97 65.63
144.25 65.97
147.53 66.54
150.81 66.44
154.09 66.74
157.36 65.81
160.64 64.54
163.92 63.25