supraaxdd (supraaxdd)

Race #2595

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Official speed 99.65 wpm (104.04 seconds elapsed during race)
Without ending ping 99.90 wpm (262 ms delay sending score to TypeRacer’s server)
Timerless 100.41 wpm (524 ms elapsed before first character typed; 103.26 seconds elapsed during race)
Timerless minus one 100.29 wpm, ignoring the first character typed
Race Start January 11, 2024 6:04:01pm UTC
Race Finish January 11, 2024 6:05:45pm UTC
Outcome No win (2 of 4)
Opponents 1. urchinonquit (132.08 wpm)
3. ahm_1 (93.12 wpm)
Accuracy 97.9%
Points 269.04
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 us understand how a change in one quanitttity is related to a change in another. How does the speed of a falling object change as a functeion oion of time? How does the level of water in a barrel change as a function ofn t the amount of liquid poured into it? wwe We see change occurring in nearly everything we objserve int he the world and universe, and powerful modern instruments hleelp us see more and more. In this section we introcduce the ideas of average and instanteaneous 4rarates of change, and show that they are closeslly related to the slope of a curve at a point P on the curve. We give precise developments of these importwant concepts int he the next chapter, but for now we use an informal approach asso you will see how they lead naturally to the main idea of this chapter, the mlimit. The idea of a limit plays a foundational role throughout claalclulus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 524 101 124 93 565 123 449 70 40 76 79 101 61 108 132 54 132 131 62 62 117 22 93 63 131
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 131 434 131 140 441 31 79 99 124 123 54 147 55 132 107 70 62 94 93 123 85 108 94 70 91
Character c h a n g e i n o n e q u a n i t t -t -t -i t
Milliseconds 86 69 100 40 116 55 69 116 54 69 101 93 70 77 124 85 116 77 155 86 177 249 123 139 124
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 71 107 102 101 123 76 111 137 125 53 365 85 68 155 71 92 39 136 26 125 84 71 92 47 117
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 69 78 162 61 117 69 85 115 48 47 123 54 70 94 100 61 62 109 116 77 132 54 95 60 108
Character e s p e e d o f a f a l l i n g o b j e
Milliseconds 54 148 77 85 116 155 147 69 109 31 131 39 124 100 109 85 139 186 69 87 60 40 108 85 109
Character c t c h a n g e a s a f u n c t e i o n
Milliseconds 154 147 23 186 124 46 101 54 54 133 53 68 103 100 77 101 94 130 54 132 23 39 62 23 87
Character o -o - -n -o -i -e i o n o f t i m e ? H o w d
Milliseconds 99 247 280 124 130 125 163 177 94 0 186 92 101 31 138 70 48 69 184 103 153 38 110 78 107
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 55 108 77 86 84 78 94 69 123 55 85 109 69 101 85 456 54 94 77 139 108 85 63 131 15
Character a b a r r e l c h a n g e a s a f u n
Milliseconds 171 85 77 116 116 116 457 39 93 61 86 102 68 85 85 54 78 123 62 64 138 38 147 85 155
Character c t i o n o f n t -t - -n t h e a m o u n t
Milliseconds 71 161 62 62 31 94 84 103 0 129 71 262 109 139 69 55 79 100 69 63 83 116 101 148 84
Character o f l i q u i d p o u r e d i n t o i t
Milliseconds 101 116 87 75 148 140 107 101 256 169 40 200 78 125 170 302 153 103 38 78 99 93 102 92 69
Character ? w -w w e - -e -w W e s e e c h a n g e o
Milliseconds 202 93 201 402 318 85 124 247 123 140 217 140 155 100 178 162 70 108 55 116 108 54 70 62 131
Character c c u r r i n g i n n e a r l y e v e r y t
Milliseconds 47 185 132 71 339 78 54 54 86 123 39 154 132 70 46 77 78 147 39 162 108 140 69 86 86
Character h i n g w e o b j -j s e r v e i n t h e
Milliseconds 76 77 78 56 114 77 70 94 169 70 287 341 37 86 85 171 77 85 130 40 164 0 122 40 115
Character - -e -h - -t t h e w o r l d a n d u n i v e
Milliseconds 225 116 123 125 154 71 53 100 101 125 85 93 93 93 15 248 69 101 116 31 155 147 93 247 178
Character r s e , a n d p o w e r f u l m o d e r n
Milliseconds 70 101 123 101 86 75 94 55 108 155 54 85 62 54 146 71 115 143 175 101 133 169 108 93 109
Character i n s t r u m e n t s h l e -e -l e l p u s s
Milliseconds 177 62 132 123 78 93 185 110 68 94 77 55 123 153 56 340 124 162 86 123 78 108 132 77 140
Character e e m o r e a n d m o r e . I n t h i s
Milliseconds 101 239 117 53 101 85 32 93 193 69 101 47 155 54 76 48 109 69 139 77 109 76 71 70 62
Character s e c t i o n w e i n t r o c -c d u c e t
Milliseconds 46 124 85 170 170 39 69 24 86 54 92 92 163 55 100 54 93 163 325 100 63 93 154 86 84
Character h e i d e a s o f a v e r a g e a n d i
Milliseconds 70 47 115 86 46 201 62 132 116 224 86 85 208 186 170 101 217 124 100 78 123 70 139 47 147
Character n s t a n t e -e a n e o u s 4 r a -a -r -4 r a t e
Milliseconds 46 78 123 78 93 131 202 357 91 71 502 147 110 91 116 142 0 60 394 124 155 46 78 124 69
Character s o f c h a n g e , a n d s h o w t h a
Milliseconds 71 86 145 178 16 156 61 93 78 77 61 100 62 78 77 85 116 85 87 37 79 99 72 123 77
Character t t h e y a r e c l o s e s l -l -s l y r e
Milliseconds 78 116 69 117 85 85 162 86 108 69 71 100 62 139 39 46 178 116 286 124 170 110 68 93 94
Character l a t e d t o t h e s l o p e o f a c
Milliseconds 77 301 465 69 155 62 116 31 139 40 92 46 178 78 147 131 124 140 92 132 71 68 71 76 116
Character u r v e a t a p o i n t P o n t h e
Milliseconds 117 92 217 54 78 93 116 93 46 139 209 86 69 23 94 116 225 192 147 86 84 101 31 93 78
Character c u r v e . W e g i v e p r e c i s e d e
Milliseconds 124 62 116 170 39 70 108 255 62 108 124 55 131 63 38 161 442 47 201 301 63 62 140 92 139
Character v e l o p m e n t s o f t h e s e i m p o r
Milliseconds 78 116 85 139 70 178 62 116 77 70 47 131 54 101 93 92 70 77 155 131 148 116 101 54 162
Character t w -w a n t c o n c e p t s i n t h e - -e
Milliseconds 70 132 433 70 92 47 132 85 77 39 85 185 101 93 54 55 139 38 157 0 145 47 92 202 123
Character -h - -t t h e n e x t c h a p t e r , b u t
Milliseconds 132 124 162 24 92 93 92 110 170 94 161 108 55 116 94 116 239 123 164 85 70 99 117 77 109
Character f o r n o w w e u s e a n i n f o r m
Milliseconds 47 162 85 109 53 155 47 76 87 116 62 99 194 71 38 84 102 85 155 108 70 69 115 102 77
Character a l a p p r o a c h a s -s -a s o y o u w i
Milliseconds 163 549 71 131 108 139 93 70 77 70 100 95 68 77 271 116 93 62 62 77 93 62 23 109 69
Character l l s e e h o w t h e y l e a d n a t u
Milliseconds 140 139 31 62 78 185 187 99 70 62 170 93 77 101 62 93 54 54 101 116 77 102 107 101 108
Character r a l l y t o t h e m a i n i d e a o f
Milliseconds 110 84 116 139 116 102 45 79 107 70 54 94 76 85 78 77 71 39 107 100 178 55 61 109 47
Character t h i s c h a p t e r , t h e m -m l i m i
Milliseconds 76 126 92 69 55 76 116 87 93 101 131 123 70 93 54 78 54 84 86 62 325 170 155 85 117
Character t . T h e i d e a o f a l i m i t p l
Milliseconds 138 71 69 140 61 85 101 163 77 162 62 85 116 94 100 93 93 549 132 77 116 101 124 154 140
Character a y s a f o u n d a t i o n a l r o l e t
Milliseconds 93 85 108 132 69 109 239 70 70 147 31 147 93 100 47 54 132 116 123 147 93 147 39 124 77
Character h r o u g h o u t c l a -a -l a l c l -l u l u s .
Milliseconds 40 123 38 64 92 77 162 78 69 124 85 139 24 286 139 71 101 85 162 403 139 123 170 155 23
WPM Timing
Seconds WPM
2.08 46.13
4.16 77.85
6.24 86.5
8.32 98.04
10.4 91.12
12.49 97.07
14.57 102.15
16.65 104.52
18.73 105.08
20.81 100.92
22.89 103.28
24.97 102.36
27.05 104.25
29.13 103.39
31.21 102.26
33.29 100.2
35.38 97.7
37.46 98.68
39.54 99.55
41.62 96.88
43.7 97.21
45.78 98.04
47.86 98.54
49.94 97.07
52.02 98.73
54.1 98.92
56.18 99.1
58.26 99.07
60.35 97.04
62.43 97.84
64.51 99.15
66.59 97.49
68.67 98.21
70.75 98.37
72.83 98.86
74.91 98.68
76.99 99.28
79.07 99.25
81.15 97.89
83.24 98.18
85.32 98.74
87.4 98.17
89.48 98.84
91.56 99.61
93.64 100.34
95.72 100.42
97.8 100.24
99.88 100.44
101.96 100.74
104.04 99.65