ASPHYXIA (75134633271)

Race #4016

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Official speed 111.24 wpm (93.20 seconds elapsed during race)
Without ending ping 111.55 wpm (263 ms delay sending score to TypeRacer’s server)
Timerless 111.67 wpm (95 ms elapsed before first character typed; 92.85 seconds elapsed during race)
Timerless minus one 111.54 wpm, ignoring the first character typed
Race Start September 27, 2023 12:52:55pm UTC
Race Finish September 27, 2023 12:54:29pm UTC
Outcome No win (2 of 5)
Opponents 1. kahow (144.63 wpm)
3. terminuszwei (109.00 wpm)
4. bumpjammy (108.02 wpm)
Accuracy 96.6%
Points 300.33
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 uns understand how a change in oqene quantity is related to a change in another. How does the speed of a falling object chang ae as a function of time? How does the level of watter in a bearrel change as a function of the amount of qiliquid poured int oo it? We see cahngchange occurring in nearyl ely veeverything we observe in the world and universe, and powerful modern instrumenst hts thhelp us see more amnd more/ In. In this section we introduce the ideas of averange ge and instantaneous rates of chagnnge, ands how and show that they are closerlly related to the slop oe of a curve at a point P oon n the curve. GWe give prescise developmenst ofts of these important concepnts in the next chapter, but for now we use an informal approach so you will see how they lead naturally to the meain imain idea of this cahpphachahapter, the liimtmit. The ide ofa of a limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 95 102 124 78 138 311 110 93 87 108 66 97 62 123 61 99 80 224 93 61 65 109 184 91 71
Character e l p s u n -n s u n d e r s t a n d h o w
Milliseconds 70 67 79 85 117 89 80 294 56 63 50 89 67 29 67 124 40 6 118 60 67 46 36 36 84
Character a c h a n g e i n o q e -e -q n e q u a n t
Milliseconds 89 81 85 56 71 50 56 37 77 381 60 67 99 90 72 278 94 53 71 58 63 54 77 101 43
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 72 91 68 81 159 40 100 67 67 83 64 69 71 27 84 61 69 73 98 69 85 87 53 75 78
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 28 101 81 91 52 71 89 91 109 36 42 103 64 75 74 92 22 108 59 40 67 33 43 52 50
Character e s p e e d o f a f a l l i n g o b j e
Milliseconds 114 35 55 266 125 107 25 76 73 71 71 120 109 156 61 111 95 52 288 160 35 116 167 104 2
Character c t c h a n g a -a - e a s a f u n c t i
Milliseconds 29 229 85 60 91 67 44 74 118 257 198 91 92 74 84 43 82 53 123 48 100 82 61 91 42
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 31 136 54 82 77 82 126 82 72 86 157 70 82 125 24 145 151 56 54 52 82 60 46 70 59
Character l e v e l o f w a t t -t e r i n a b e -e
Milliseconds 33 82 67 66 104 454 103 68 72 66 18 87 109 277 112 82 48 184 114 55 96 75 64 101 234
Character a r r e l c h a n g e a s a f u n c t i o
Milliseconds 110 90 105 106 73 165 74 82 20 107 51 24 110 69 80 78 40 130 39 115 76 65 93 30 42
Character n o f t h e a m o u n t o f q i -i -q l i
Milliseconds 97 53 81 121 57 89 54 102 101 85 81 61 26 73 47 21 65 283 81 117 71 255 72 116 78
Character q u i d p o u r e d i n t o -o - o i t ?
Milliseconds 90 91 80 34 124 95 67 45 58 97 56 107 51 118 40 64 152 260 91 102 66 89 57 126 123
Character W e s e e c a h n g -g -c -a -h -n c h a n g e o
Milliseconds 63 89 96 38 43 113 68 84 81 10 119 51 244 102 0 0 0 156 104 66 52 66 42 92 85
Character c c u r r i n g i n n e a r y l e -e - -l -y l
Milliseconds 187 133 30 111 100 116 41 112 66 68 169 97 294 76 43 50 133 34 122 89 205 120 146 129 79
Character y v e -e -v e v e r y t h i n g w e o b s e r
Milliseconds 101 93 425 48 213 82 111 110 47 127 54 140 48 8 100 42 128 33 52 103 85 72 51 71 67
Character v e i n t h e w o r l d a n d u n i v e
Milliseconds 60 46 127 60 69 61 67 36 56 101 81 35 55 70 52 342 83 83 50 75 76 152 132 102 80
Character r s e , a n d p o w e r f u l m o d e r n
Milliseconds 99 48 44 130 78 97 54 79 101 48 109 79 59 66 166 187 193 96 72 102 99 47 68 20 65
Character i n s t r u m e n s t h -h - -t -s t s t h -h -t h
Milliseconds 50 102 111 57 79 45 190 62 107 41 15 111 83 257 126 126 140 140 50 113 228 172 136 83 77
Character e l p u s s e e m o r e a m -m n d m o r
Milliseconds 76 60 90 86 155 117 96 30 149 102 74 108 78 72 71 92 42 103 354 58 80 22 52 66 116
Character e / I n -n -I - -/ . I n t h i s s e c t i o
Milliseconds 39 128 51 130 112 174 130 130 107 154 84 92 108 83 100 59 71 67 68 71 52 29 74 37 35
Character n w e i n t r o d u c e t h e i d e a s
Milliseconds 92 36 90 44 81 85 89 31 47 55 56 100 67 79 105 28 48 63 83 72 109 40 27 97 62
Character o f a v e r a n g e - -e -g -n g e a n d i n
Milliseconds 54 102 76 209 106 61 94 54 91 62 33 145 191 106 120 132 140 34 99 53 104 84 327 155 84
Character s t a n t a n e o u s r a t e s o f c h a g
Milliseconds 103 68 60 649 168 101 95 83 129 32 67 42 110 73 54 74 50 83 86 97 53 97 152 20 282
Character n -n -g n g e , a n d s h o w -h -o -w - -a -n -d -s
Milliseconds 159 111 103 73 41 46 127 83 81 158 103 68 13 62 40 42 102 166 0 0 0 101 0 0 0
Character - a n d s h o w t h a t t h e y a r e c
Milliseconds 0 515 71 76 68 28 61 35 25 120 44 44 67 58 56 80 23 44 28 104 71 87 56 77 70
Character l o s e r l -l -r l y r e l a t e d t o t h e
Milliseconds 44 74 69 63 96 143 295 101 80 78 86 48 103 82 94 65 82 41 229 50 96 82 40 47 90
Character s l o p o -o - e o f a c u r v e a t
Milliseconds 59 42 30 82 56 112 178 257 101 105 108 62 76 63 36 119 13 69 59 104 65 98 54 72 73
Character a p o i n t P o o n - -n -o n t h e c u
Milliseconds 23 123 47 61 24 98 35 35 142 126 128 103 250 59 159 92 127 47 61 41 55 22 109 32 44
Character r v e . G -G W e g i v e p r e s -s c i s e
Milliseconds 84 54 45 125 66 98 232 151 103 101 67 43 63 62 89 54 86 71 120 451 146 60 58 106 159
Character d e v e l o p m e n s t o f -f -o - -t -s t s o f
Milliseconds 69 121 64 84 76 82 37 90 47 109 39 11 115 73 82 203 221 167 150 143 100 34 85 318 107
Character t h e s e i m p o r t a n t c o n c e p n -n
Milliseconds 72 54 43 39 89 16 90 66 94 64 32 100 46 118 79 29 60 154 58 78 80 48 111 304 262
Character t s i n t h e n e x t c h a p t e r , b
Milliseconds 58 45 68 49 116 52 55 33 65 78 140 160 39 51 71 29 117 6 95 83 103 78 98 15 49
Character u t f o r n o w w e u s e a n i n f o
Milliseconds 81 64 61 227 70 63 71 85 60 84 111 143 49 128 91 80 83 64 89 89 67 85 133 128 77
Character r m a l a p p r o a c h s o y o u w i l l
Milliseconds 83 46 75 158 87 55 136 106 107 60 170 72 72 71 109 121 85 85 16 23 71 94 34 119 103
Character s e e h o w t h e y l e a d n a t u r a
Milliseconds 94 88 85 100 53 66 47 38 60 45 52 48 619 121 36 87 73 27 99 66 73 72 85 66 4
Character l l y t o t h e m e a i n i -i -m -e -a -i -n -
Milliseconds 230 96 51 183 44 204 88 37 48 37 76 32 81 4 45 35 59 61 273 113 0 0 0 0 0
Character m a i n i d e a o f t h i s c a h p -p -h -a
Milliseconds 249 89 62 47 49 130 84 22 86 93 116 124 50 50 35 53 90 71 44 45 108 18 275 91 127
Character p h a -a -h -p c h a -a -h -c h a p t e r , t h e l
Milliseconds 142 121 73 251 119 91 152 197 130 158 120 122 134 201 59 86 65 73 82 61 34 38 34 90 52
Character i i m t -t -m -i m i t . T h e i d e o f -f -o -
Milliseconds 38 153 11 148 388 133 132 84 92 90 99 117 60 86 107 79 54 71 30 261 116 102 177 96 128
Character a o f a l i m i t p l a y s a f o u n
Milliseconds 120 69 85 97 19 219 136 101 209 103 85 194 75 108 76 87 47 88 76 54 108 40 72 28 76
Character d a t i o n a l r o l e t h r o u g h o u t
Milliseconds 73 70 153 91 34 71 92 77 107 120 67 94 65 101 38 60 61 7 28 36 79 91 38 65 77
Character c a l c u l u s .
Milliseconds 81 51 101 90 54 79 103 74 80
WPM Timing
Seconds WPM
1.86 109.44
3.73 103
5.59 122.31
7.46 120.7
9.32 130.04
11.18 134.11
13.05 130.59
14.91 127.14
16.78 128.75
18.64 129.39
20.5 124.65
22.37 127.68
24.23 126.27
26.1 125.07
27.96 122.31
29.83 122.31
31.69 118.15
33.55 116.95
35.42 118.92
37.28 119.42
39.15 119.55
41.01 115.87
42.87 115.32
44.74 113.46
46.6 116.39
48.47 115.63
50.33 114.21
52.19 114.5
54.06 112.1
55.92 112.66
57.79 112.34
59.65 112.05
61.51 113.53
63.38 112.66
65.24 112.2
67.11 111.05
68.97 111.7
70.83 111.64
72.7 112.74
74.56 113.14
76.43 113.83
78.29 114.04
80.16 113.78
82.02 113.97
83.88 111.44
85.75 110.98
87.61 110.26
89.48 109.44
91.34 110.36
93.2 111.24