emry (emrx)

Race #8

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Official speed 68.22 wpm (151.98 seconds elapsed during race)
Without ending ping 68.35 wpm (281 ms delay sending score to TypeRacer’s server)
Timerless 69.80 wpm (3,162 ms elapsed before first character typed; 148.54 seconds elapsed during race)
Timerless minus one 69.72 wpm, ignoring the first character typed
Race Start June 16, 2023 10:25:02pm UTC
Race Finish June 16, 2023 10:27:34pm UTC
Outcome No win (2 of 4)
Opponents 1. fa10vo (75.05 wpm)
Accuracy 97.5%
Points 184.19
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 Ca;clculis us is a tool that helps us understand how a change in one quanitity is related to a change in another. How does the speed of a falling object chagnnge as a functuiion of time? How does the ellevel of water in a barrel change as a function of the amount of luiquid puoured into it? We see change occurinring in tnearly. Eveverything we observe in the world and universe, and pwoowerful modern instruments help us seem more and more. In this esection we introduce the ideas of average and instantaneous rates of change, and show that they are closely. Rrelated to tghe he slope of a cyuurcve at a point P on the curve. We give precise developments of these importan t concepts in the next chapter, but for now we use an informal appraioach 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 throught hout calculus.
Timing
Character C a ; c -c -; l c u l i s - -s -i u s i s a t
Milliseconds 3162 384 360 224 209 135 232 288 176 400 161 79 88 280 144 152 312 184 112 104 121 87 112 104 168
Character o o l t h a t h e l p s u s u n d e r s t
Milliseconds 64 168 120 40 128 128 23 104 57 72 96 128 168 48 80 73 103 232 416 89 63 105 119 152 120
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 136 57 79 64 72 184 7 97 104 89 215 224 401 142 98 183 48 96 112 120 112 168 63 105 192
Character u a n i -i t i t y i s r e l a t e d t o a
Milliseconds 121 207 176 168 416 104 104 128 217 191 121 103 88 192 80 152 160 112 225 167 48 144 80 49 119
Character c h a n g e i n a n o t h e r . H o w d
Milliseconds 112 120 192 88 168 64 184 40 88 152 88 160 72 208 80 128 64 120 216 80 232 192 80 64 168
Character o e s t h e s p e e d o f a f a l l i n
Milliseconds 88 88 232 65 143 104 64 56 192 105 111 144 169 63 112 96 88 336 105 111 184 48 168 186 144
Character g o b j e c t c h a g n -n -g n g e a s a
Milliseconds 21 105 176 160 207 129 216 208 104 344 80 120 152 144 239 145 184 48 168 80 128 104 105 112 103
Character f u n c t u i -i -u i o n o f t i m e ? H o w
Milliseconds 456 128 152 41 208 63 0 440 169 127 168 176 96 129 111 40 152 57 144 72 327 112 256 199 73
Character d o e s t h e e l -l -e l e v e l o f w a
Milliseconds 64 136 48 104 208 48 129 79 80 65 207 136 296 160 137 79 288 152 65 151 120 88 64 160 128
Character t e r i n a b a r r e l c h a n g e a s
Milliseconds 152 256 81 79 176 144 80 168 104 106 134 184 152 96 112 192 272 104 105 143 72 160 64 128 112
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 120 112 120 441 87 152 56 216 55 193 193 79 128 120 72 128 80 81 88 127 104 184 216 168 120
Character o f l u -u i q u i d p u -u o u r e d i n t
Milliseconds 136 145 128 79 128 208 448 208 416 304 184 104 80 242 502 320 168 232 144 96 192 64 48 224 111
Character o i t ? W e s e e c h a n g e o c c u r
Milliseconds 121 128 104 112 264 160 248 144 88 207 193 143 89 191 120 88 145 79 136 97 231 408 169 231 96
Character i n -n -i r i n g i n t -t n e a r l y . - -.
Milliseconds 128 193 319 160 337 112 271 88 80 184 152 48 184 376 240 40 81 105 126 216 224 104 400 168 320
Character E v -v -E e v e r y t h i n g w e o b s e r v e
Milliseconds 256 224 232 152 80 216 128 96 49 519 72 144 104 48 96 112 224 128 360 480 576 184 113 295 168
Character i n t h e w o r l d a n d u n i v e r s
Milliseconds 64 104 168 65 119 112 96 74 120 89 101 80 448 88 136 72 96 48 112 160 152 64 193 119 192
Character e , a n d p w o -o -w o w e r f u l m o d e r
Milliseconds 128 169 263 128 88 112 96 176 200 152 257 143 88 56 232 112 256 120 232 104 128 184 74 102 128
Character n i n s t r u m e n t s h e l p u s s e e
Milliseconds 200 176 288 136 97 191 192 128 320 96 112 104 224 88 256 88 160 177 199 136 144 184 280 209 167
Character m - -m m o r e a n d m o r e . I n t h
Milliseconds 80 128 376 192 136 96 192 88 40 89 103 104 96 64 129 207 32 120 168 104 240 160 64 128 128
Character i s e -e s e c t i o n w e i n t r o d u c e
Milliseconds 416 72 104 184 360 80 240 168 200 48 168 144 64 112 80 120 408 184 128 176 200 320 217 95 129
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 103 113 103 80 48 127 145 24 120 168 104 104 104 72 184 257 191 81 208 143 112 88 168 81 111
Character i n s t a n t a n e o u s r a t e s o f c
Milliseconds 72 128 152 41 191 119 97 305 615 120 472 329 175 104 104 336 113 183 128 288 48 120 137 79 416
Character h a n g e , a n d s h o w t h a t t h e y
Milliseconds 88 104 113 95 128 131 103 104 103 63 73 199 48 208 48 96 136 80 64 128 104 296 81 152 119
Character a r e c l o s e l y . - -. R -R r e l a t e
Milliseconds 88 464 120 88 65 143 64 152 16 217 127 297 209 119 487 168 64 217 337 246 88 480 121 167 113
Character d t o t g h e - -e -h -g h e s l o p e o f
Milliseconds 167 80 136 96 88 248 73 0 64 80 295 169 167 248 232 113 96 175 80 152 184 80 88 105 87
Character a c y u -u -y u r c -c v e a t a p o i n t
Milliseconds 81 88 119 192 273 0 320 183 264 169 247 400 88 200 73 119 128 88 80 105 175 208 233 287 232
Character P o n t h e c u r v e . W e g i v e
Milliseconds 112 296 184 168 168 80 112 120 32 96 152 104 104 256 152 184 104 248 104 240 160 72 184 128 89
Character p r e c i s e d e v e l o p m e n t s o f t
Milliseconds 103 65 88 207 208 121 151 80 216 480 216 184 232 257 192 272 120 88 104 191 89 103 128 96 128
Character h e s e i m p o r t a n - t c o n c e p t s
Milliseconds 89 103 529 159 89 143 136 169 200 136 232 64 119 425 272 216 208 231 64 169 58 175 143 168 359
Character i n t h e n e x t c h a p t e r , b u t
Milliseconds 129 247 129 88 135 49 168 119 369 63 209 232 160 513 88 96 238 104 184 89 224 136 207 154 135
Character f o r n o w w e u s e a n i n f o r m
Milliseconds 128 672 88 103 64 113 768 199 401 200 175 296 161 72 120 48 200 86 72 650 168 127 121 129 102
Character a l a p p r a -a i -i o a c h s o y o u w i
Milliseconds 129 104 215 225 112 168 80 111 520 249 320 113 143 184 296 104 144 128 72 184 39 113 64 96 112
Character l l s e e h o w t h e y l e a d n a t u
Milliseconds 224 152 15 89 167 153 56 104 200 56 80 136 104 104 151 145 248 40 88 112 104 135 432 137 112
Character r a l l y t o t h e m a i n i d e a o f
Milliseconds 128 168 80 168 72 95 529 80 103 113 89 119 64 232 88 120 111 160 337 88 89 104 87 128 135
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 73 159 49 144 104 104 640 128 144 120 208 136 80 256 119 169 72 96 111 480 208 153 144 112 200
Character T h e i d e a o f a l i m i t p l a y
Milliseconds 136 336 104 120 104 152 272 104 112 104 128 129 63 159 145 640 160 152 127 129 120 192 88 104 296
Character s a f o u n d a t i o n a l r o l e t h r
Milliseconds 231 105 127 129 104 312 143 193 56 138 141 130 223 231 201 95 153 191 81 231 152 185 192 120 87
Character o u g h t - -t -h h o u t c a l c u l u s .
Milliseconds 105 168 71 145 96 96 375 185 144 631 233 151 89 96 384 144 112 352 191 337 232 152 168
WPM Timing
Seconds WPM
3.04 0
6.08 11.84
9.12 36.85
12.16 51.32
15.2 55.27
18.24 61.19
21.28 65.99
24.32 69.58
27.36 69.31
30.4 69.09
33.44 68.91
36.47 70.73
39.51 71.67
42.55 72.19
45.59 70.01
48.63 70.82
51.67 69.44
54.71 68.21
57.75 67.53
60.79 67.31
63.83 68.24
66.87 68.01
69.91 68.14
72.95 68.1
75.99 67.9
79.03 68.33
82.07 69.45
85.11 68.81
88.15 69.57
91.19 70.27
94.23 68.9
97.27 68.6
100.31 67.95
103.35 68.28
106.39 68.69
109.42 68.54
112.46 68.39
115.5 68.47
118.54 68.33
121.58 67.81
124.62 67.88
127.66 67.58
130.7 68.31
133.74 68.64
136.78 68.78
139.82 68.83
142.86 68.96
145.9 69.01
148.94 68.48
151.98 68.22