Dawg (paradoxfox)

Race #929

View Pit Stop page for race #929 by paradoxfox — Ghost race

View profile for Dawg (paradoxfox)

Official speed 76.10 wpm (136.24 seconds elapsed during race)
Without ending ping 76.23 wpm (231 ms delay sending score to TypeRacer’s server)
Timerless 76.44 wpm (382 ms elapsed before first character typed; 135.63 seconds elapsed during race)
Timerless minus one 76.36 wpm, ignoring the first character typed
Race Start December 28, 2024 4:21:42pm UTC
Race Finish December 28, 2024 4:23:58pm UTC
Outcome No win (4 of 5)
Opponents 1. buri_was_taken (115.27 wpm)
3. touvski (77.60 wpm)
Accuracy 96.4%
Points 205.48
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 Calculuus siis a tool taht hethat helps us understand how a change inone one quatnintity is related to a change in another. How does the speed of a falling object change as a function of time H?ee? How does the leel vel of water ina a barrel cahngchange 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 instrunments help us see more and more. IN thin this section we introduce the ideas of average and isntainstantaneous rates of cahgehange, and show that tehhaey are closely related to the slpoe ooope of a curve at a point P on the curve. We give rpresecise develppopments of thse ese important concepts in teh nethe next chapter, but for now we use an informal papproach so you will see how they lead naturally to the main idea of hitthis chpatapter, the limit. The idea of a ilimit plyays a foundational role throughout clalculus.
Timing
Character C a l c u l u -u u s s i -i -s i s a t o o l
Milliseconds 382 101 183 317 101 99 317 349 333 102 81 185 33 367 115 133 101 34 117 82 135 50 135 166 65
Character t a h t h e -h -e -t -a -h -t - t h a t h e l p s
Milliseconds 67 115 0 83 68 67 117 433 0 250 0 0 0 0 350 82 53 82 48 168 100 84 116 83 99
Character u s u n d e r s t a n d h o w a c h a n g
Milliseconds 117 83 86 234 165 33 167 17 115 450 117 150 66 68 117 99 149 84 118 82 150 116 168 84 83
Character e i n o n e - -e -n -o o n e q u a t n i -i -n
Milliseconds 82 84 18 66 232 101 84 82 300 118 132 118 65 184 50 50 51 266 117 133 150 83 134 283 116
Character -t n t i t y i s r e l a t e d t o a c h
Milliseconds 117 269 130 119 116 132 118 132 103 32 283 50 149 118 50 66 182 69 148 0 101 133 100 99 85
Character a n g e i n a n o t h e r . H o w d o e s
Milliseconds 132 51 83 66 84 17 84 82 151 82 83 100 118 67 82 101 117 198 102 117 82 151 82 67 84
Character t h e s p e e d o f a f a l l i n g o
Milliseconds 65 102 82 0 100 117 66 101 166 151 100 116 50 69 98 99 134 134 167 132 135 31 51 49 118
Character b j e c t c h a n g e a s a f u n c t i o
Milliseconds 132 222 63 83 239 78 232 100 133 117 68 66 200 151 117 97 101 84 116 100 167 84 199 67 84
Character n o f t i m e H -H - -e ? e -e -? e ? H o w
Milliseconds 33 66 166 68 68 232 66 35 100 333 275 307 118 99 266 384 399 136 199 651 265 300 167 67 82
Character d o e s t h e l e e l - -l -e v e l o f w
Milliseconds 185 133 50 83 66 85 65 50 52 98 67 233 116 118 299 134 99 184 101 82 118 100 35 81 149
Character a t e r i n a - -a a b a r r e l c a h n
Milliseconds 100 135 99 84 33 149 34 184 117 467 99 132 184 116 200 135 167 171 244 201 132 251 84 16 217
Character g -c -a -h -n -g c h a n g e a s a f u n c t i o
Milliseconds 0 417 0 0 0 0 449 99 117 118 200 167 66 166 133 85 66 101 117 117 148 83 168 15 84
Character n o f t h e a m o u n t o f l i q u i d
Milliseconds 51 34 166 67 50 165 51 32 68 167 100 82 134 188 27 51 216 51 83 151 83 234 82 69 116
Character p o u r e d i n t o i t ? W e s e e c
Milliseconds 82 301 82 283 34 165 168 85 32 116 150 68 100 132 100 240 433 278 205 95 166 149 135 65 152
Character h a n g e o c c u r r i n g i n n e a r l y
Milliseconds 166 133 166 18 134 15 200 151 134 148 52 682 150 83 84 67 266 83 51 216 67 66 135 99 133
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 67 132 151 116 83 151 134 84 82 134 118 64 201 116 101 216 149 170 399 131 207 94 101 149 68
Character t h e w o r l d a n d u n i v e r s e ,
Milliseconds 31 119 98 18 150 199 83 116 118 83 50 167 83 68 66 116 184 118 133 116 99 150 217 132 167
Character a n d p o w e r f u l m o d e r n i n s t r
Milliseconds 101 83 101 49 200 84 99 83 101 216 522 128 84 200 118 99 151 48 200 101 149 101 133 116 167
Character u n -n m e n t s h e l p u s s e e m o r e
Milliseconds 116 168 449 167 82 118 52 100 65 166 217 339 27 517 100 99 117 167 202 147 53 98 68 82 34
Character a n d m o r e . I N t h i -i -t -h - -N n t
Milliseconds 65 118 117 33 68 117 66 32 50 168 83 206 59 52 134 65 118 397 319 0 399 123 261 99 134
Character h i s s e c t i o n w e i n t r o d u c e
Milliseconds 66 85 67 83 133 133 117 199 84 84 50 115 401 151 115 150 34 99 116 85 166 117 100 67 84
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 132 67 33 84 99 67 267 50 217 100 99 84 83 134 116 150 85 115 333 167 188 97 165 17 83
Character i s n t a -i -s -n -t -a i n s t a n t a n e o u s r
Milliseconds 150 84 0 149 100 517 0 0 0 0 433 101 66 117 83 199 284 434 132 484 134 149 66 85 250
Character a t e s o f c a h g e -e -g -h -a h a n g e , a
Milliseconds 99 151 49 134 66 218 66 51 198 52 49 166 100 883 483 117 367 152 82 166 150 152 131 135 83
Character n d s h o w t h a t t e h -h -e h a -a e y a
Milliseconds 100 135 82 166 117 33 83 84 315 117 0 85 66 82 135 66 466 118 283 117 369 63 118 116 84
Character r e c l o s e l y r e l a t e d t o t h e
Milliseconds 116 50 66 184 49 174 77 117 100 134 83 265 0 201 166 218 49 201 83 166 34 83 84 99 0
Character s l p o e - -e -o o -o o -o -p o p e o f a c
Milliseconds 83 118 65 185 16 117 116 150 118 217 265 367 216 300 101 367 83 134 32 99 84 85 99 132 135
Character u r v e a t a p o i n t P o n t h e
Milliseconds 132 101 200 84 84 116 150 99 118 82 201 115 151 98 119 67 282 133 117 100 150 33 84 150 100
Character c u r v e . W e g i v e r -r p r e s e -e -s c
Milliseconds 234 132 119 216 67 199 67 233 199 135 181 85 217 116 118 299 266 167 66 51 116 134 249 116 118
Character i s e d e v e l p p -p -p o p m e n t s o f t
Milliseconds 134 49 117 67 200 167 148 117 102 437 78 257 293 218 132 269 115 133 68 349 67 216 49 68 166
Character h s e - -e -s e s e i m p o r t a n t c o n c
Milliseconds 67 116 117 102 382 117 133 383 100 166 84 267 100 99 67 150 167 84 118 81 84 249 67 52 215
Character e p t s i n t e h n e -n -e -t -e -h - t h e n
Milliseconds 117 82 118 116 100 116 101 50 66 83 0 69 148 84 433 0 117 0 0 0 400 84 99 68 165
Character e x t c h a p t e r , b u t f o r n o w
Milliseconds 134 200 200 67 299 84 166 66 100 119 81 151 117 116 167 84 83 166 84 84 49 84 83 49 168
Character w e u s e a n i n f o r m a l p -p a p p r
Milliseconds 148 69 117 199 67 83 51 116 132 102 131 68 365 101 118 99 84 499 99 168 300 100 83 151 132
Character o a c h s o y o u w i l l s e e h o w
Milliseconds 83 101 84 171 78 584 99 50 234 234 98 85 150 83 167 132 85 66 117 400 67 149 68 116 65
Character t h e y l e a d n a t u r a l l y t o t h
Milliseconds 118 66 184 66 117 99 68 84 149 100 134 100 117 81 151 117 100 149 116 84 184 50 51 133 50
Character e m a i n i d e a o f h i t -t -h -i t h i s
Milliseconds 49 68 98 135 100 67 66 117 133 150 65 101 51 133 101 232 68 82 334 249 0 333 0 68 150
Character c h p a t -t -a -p a p t e r , t h e l i m i t
Milliseconds 32 239 129 148 136 115 184 100 583 200 132 235 132 119 298 84 83 83 85 49 83 150 100 450 166
Character . T h e i d e a o f a i -i l i m i t p
Milliseconds 118 117 299 118 98 35 148 85 134 82 68 265 167 118 134 81 251 300 167 116 100 116 167 66 84
Character l y -y a y s a f o u n d a t i o n a l r o l
Milliseconds 150 250 667 133 132 119 65 135 117 349 100 49 168 67 131 152 150 82 51 333 116 66 218 67 149
Character e t h r o u g h o u t c l -l a l c u l u s .
Milliseconds 51 50 149 68 66 100 50 99 101 100 84 65 68 199 151 332 100 100 151 149 100 284 101 150
WPM Timing
Seconds WPM
2.72 39.64
5.45 41.84
8.17 60.19
10.9 64.96
13.62 62.54
16.35 72.66
19.07 79.27
21.8 82.57
24.52 85.14
27.25 77.07
29.97 76.87
32.7 75.97
35.42 73.51
38.15 74.87
40.87 77.22
43.6 77.34
46.32 77.2
49.05 78.78
51.77 79.04
54.5 80.37
57.22 80.53
59.95 79.47
62.67 80.61
65.4 79.27
68.12 80.15
70.85 80.29
73.57 78.78
76.3 78.33
79.02 77.14
81.75 76.48
84.47 77.14
87.19 76.11
89.92 76.47
92.64 76.81
95.37 76.25
98.09 75.48
100.82 74.87
103.54 75.33
106.27 74.75
108.99 75.53
111.72 75.62
114.44 75.5
117.17 76.2
119.89 77.17
122.62 76.33
125.34 76.02
128.07 76.09
130.79 75.69
133.52 76.04
136.24 76.1