spacin27 (spacin27)

Race #60

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Official speed 67.76 wpm (153.01 seconds elapsed during race)
Without ending ping 67.86 wpm (221 ms delay sending score to TypeRacer’s server)
Timerless 68.17 wpm (692 ms elapsed before first character typed; 152.10 seconds elapsed during race)
Timerless minus one 68.09 wpm, ignoring the first character typed
Race Start October 27, 2024 7:26:42am UTC
Race Finish October 27, 2024 7:29:15am UTC
Outcome No win (5 of 5)
Opponents 3. houndzkie (75.33 wpm)
Accuracy 97.4%
Points 182.96
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 CXalculus is a tool that helps us understand how a change in one quantity is related to a change in another. How does the psspeed of a falling obejject change as a function of time? hHow does the level o fof water in a barrel changes a ss a function of the amoun tt of liquid poutrded into it? We see change occuring ring in nearly everything we bosobsosererve in the world and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas aof average and instantaneous rates of change, and sheoow that they are closeslly related to the slpeope of a curve at a point P on the curve. We give preciese deveollopmnensts of these important concepts in the next chapter, but for now we use an innformal approach so tyou will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foudnndational role throughout caluculculus.
Timing
Character C X -X a l c u l u s i s a t o o l t h a t
Milliseconds 692 46 646 476 215 277 92 216 184 169 77 138 139 92 92 63 153 61 154 169 123 200 92 77 77
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 46 154 108 123 184 30 232 200 153 93 153 169 123 154 107 185 169 154 139 169 138 139 138 107 93
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 123 62 415 123 168 108 123 108 169 184 31 124 230 92 124 107 322 123 93 138 123 123 93 138 107
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 155 137 77 231 77 169 92 139 154 214 108 124 45 139 138 492 247 91 108 107 124 138 123 108 31
Character a n o t h e r . H o w d o e s t h e p s
Milliseconds 123 123 138 108 153 77 77 77 169 77 338 170 153 108 230 293 214 124 123 93 46 92 61 184 31
Character -s -p s p e e d o f a f a l l i n g o b e j
Milliseconds 477 92 293 107 92 155 276 77 122 139 47 122 77 154 92 124 107 122 77 108 93 107 139 307 93
Character -j -e j e c t c h a n g e a s a f u n c t i
Milliseconds 200 107 184 93 384 200 92 200 107 108 92 124 107 170 230 154 108 107 62 122 139 169 62 215 31
Character o n o f t i m e ? h -h H o w d o e s t h
Milliseconds 61 77 46 170 122 78 137 93 77 92 354 169 199 277 277 170 168 78 276 138 92 93 153 124 46
Character e l e v e l o f -f - -o o f w a t e r i n
Milliseconds 92 61 139 123 184 154 92 124 76 170 31 476 138 353 524 139 92 245 139 138 123 92 78 169 45
Character a b a r r e l c h a n g e s - -s a s -s
Milliseconds 200 139 169 415 123 308 369 138 123 92 369 124 61 92 92 108 230 139 231 123 230 108 138 384 216
Character - s a f u n c t i o n o f t h e a m o u
Milliseconds 138 308 138 154 92 584 124 170 291 200 77 61 47 46 185 122 107 108 62 77 77 138 78 153 77
Character n t -t - t o f l i q u i d p o u t -t r d -d
Milliseconds 184 138 154 184 109 183 124 108 107 108 107 138 216 139 230 569 122 262 185 61 308 292 123 354 277
Character e d i n t o i t ? W e s e e c h a n g e
Milliseconds 123 199 123 169 47 184 92 92 185 139 369 184 538 277 169 154 108 153 123 185 107 77 93 92 154
Character o c c u r i n g - -g -n -i r i n g i n n e a
Milliseconds 107 277 123 154 169 91 124 93 92 107 246 139 107 215 354 107 77 124 107 523 46 108 553 77 93
Character r l y e v e r y t h i n g w e b o s -s -o -b o
Milliseconds 123 122 139 92 277 179 128 62 185 215 138 77 108 77 123 169 93 184 107 123 138 216 107 323 231
Character b s o -o s e r -r -e -s e r v e i n t h e w o r
Milliseconds 276 292 155 400 183 171 92 246 123 353 276 108 247 137 108 169 77 92 62 107 31 123 77 154 139
Character l d a n d u n i v e r s e , a n d p o w e
Milliseconds 77 184 108 123 77 61 62 276 185 107 216 168 78 200 138 307 246 139 62 76 93 553 369 292 92
Character r f u l m o d e r n i n s t r u m e n t s h
Milliseconds 78 260 78 123 122 370 184 124 184 77 169 92 354 76 139 138 169 78 353 138 92 108 169 139 185
Character e l p u s s e e m o r e a n d m o r e .
Milliseconds 91 139 184 154 324 184 92 184 169 169 109 138 138 153 77 154 123 92 124 61 292 154 107 78 184
Character I n t h i s s e c t i o n w e i n t r o
Milliseconds 77 369 216 92 138 92 339 184 108 200 168 200 169 93 46 62 61 293 106 200 247 77 169 199 139
Character d u c e t h e i d e a s a -a o f a v e r a
Milliseconds 400 323 215 199 139 154 77 108 61 246 338 185 76 216 154 354 291 323 108 108 261 154 169 61 139
Character g e a n d i n s t a n t a n e o u s r a t e
Milliseconds 169 123 108 92 108 123 77 338 76 154 138 123 108 154 170 414 185 292 77 168 109 168 109 214 277
Character s o f c h a n g e , a n d s h e o -o -e o w
Milliseconds 170 92 123 93 76 169 108 62 138 77 108 231 76 506 77 93 92 185 123 93 230 200 122 339 154
Character t h a t t h e y a r e c l o s e s l -l -s l
Milliseconds 93 122 46 123 62 77 200 138 92 154 92 108 108 76 108 169 123 169 108 77 215 31 415 491 247
Character y r e l a t e d t o t h e s l p e -e -p o p
Milliseconds 215 77 292 77 123 107 170 107 200 108 107 93 93 76 108 92 77 215 77 185 306 185 124 522 184
Character e o f a c u r v e a t a p o i n t P
Milliseconds 139 108 108 138 108 45 138 139 123 93 230 139 138 93 261 92 154 107 200 200 169 107 185 138 262
Character o n t h e c u r v e . W e g i v e p r
Milliseconds 184 139 92 93 138 107 123 62 215 123 77 277 154 138 93 306 231 155 306 109 138 169 92 140 75
Character e c i e -e s e d e v e o l -l -o l o p m n -n e n s
Milliseconds 92 231 139 108 337 247 138 230 293 169 185 138 154 231 199 492 231 215 230 478 30 523 322 124 215
Character -s t s o f t h e s e i m p o r t a n t c o
Milliseconds 369 123 169 123 138 109 122 93 45 92 385 77 216 214 31 231 216 138 169 123 123 107 123 169 124
Character n c e p t s i n t h e n e x t c h a p t e
Milliseconds 46 169 170 152 185 169 477 170 30 139 108 122 47 107 200 123 200 154 138 231 122 77 123 138 155
Character r , b u t f o r n o w w e u s e a n
Milliseconds 76 155 91 215 109 92 92 168 108 78 92 154 200 169 414 262 323 169 369 123 92 107 124 61 170
Character i n -n n f o r m a l a p p r o a c h s o t -t
Milliseconds 77 107 277 646 292 123 108 61 108 185 122 169 139 122 123 62 447 291 108 92 277 108 108 152 231
Character y o u w i l l s e e h o w t h e y l e a
Milliseconds 262 138 77 61 216 138 154 108 107 154 77 169 170 137 108 154 123 108 46 108 107 77 169 77 107
Character d n a t u r a l l y t o t h e m a i n i
Milliseconds 185 139 154 107 154 168 93 416 184 138 154 92 108 76 93 108 123 92 46 184 123 124 46 124 337
Character d e a o f t h i s c h a p t e r , t h e
Milliseconds 107 201 61 153 109 153 76 140 61 215 170 107 400 138 107 123 216 154 77 153 77 185 77 107 108
Character l i m i t . T h e i d e a o f a l i m i
Milliseconds 215 92 447 184 169 262 76 446 202 121 230 309 230 154 91 109 138 200 31 522 107 201 230 293 184
Character t p l a y s a f o u d n -n -d n d a t i o n a
Milliseconds 169 123 185 231 122 247 122 108 107 77 155 261 92 215 30 462 108 215 262 230 153 124 61 47 138
Character l r o l e t h r o u g h o u t c a l u c u l
Milliseconds 123 123 169 93 200 122 108 353 77 139 61 77 124 93 136 78 169 107 262 153 108 170 107 123 139
Character -l -u -c -u c u l u s .
Milliseconds 245 124 107 108 261 139 169 138 154 168
WPM Timing
Seconds WPM
3.06 31.37
6.12 64.7
9.18 70.58
12.24 74.5
15.3 76.86
18.36 77.77
21.42 76.75
24.48 75.48
27.54 77.12
30.6 76.86
33.66 74.15
36.72 72.87
39.78 69.68
42.84 70.58
45.9 69.54
48.96 68.13
52.02 68.51
55.08 67.32
58.14 67.28
61.2 64.7
64.26 66.1
67.32 65.95
70.38 66.15
73.45 66.83
76.51 67.13
79.57 67.27
82.63 66.66
85.69 67.36
88.75 67.61
91.81 67.45
94.87 67.42
97.93 67.76
100.99 67.61
104.05 68.16
107.11 68.12
110.17 67.1
113.23 66.34
116.29 66.77
119.35 67.06
122.41 67.25
125.47 67.04
128.53 66.85
131.59 67.57
134.65 68.09
137.71 68.32
140.77 68.28
143.83 68.08
146.89 67.81
149.95 68.26
153.01 67.76