kappa (kappakon)

Race #1489

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Official speed 98.26 wpm (105.52 seconds elapsed during race)
Without ending ping 98.39 wpm (135 ms delay sending score to TypeRacer’s server)
Timerless 98.72 wpm (356 ms elapsed before first character typed; 105.03 seconds elapsed during race)
Timerless minus one 98.61 wpm, ignoring the first character typed
Race Start February 7, 2025 3:33:26am UTC
Race Finish February 7, 2025 3:35:12am UTC
Outcome No win (3 of 4)
Opponents 1. lcbeast (109.69 wpm)
Accuracy 96.9%
Points 265.29
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 hleps ueps lps us understand how a change in one uquantity is related to ca change in another. How does the speed of a tfalling object change as a cfcuntunction of time? How does the level of water in a barrel change as a functino oon of the amount of liqeuuid poured into it? We see chang wee occurinring in nearly everything ewwe observe in the world and universe, and powerful modern instruments hlep eplp us see more and more. In this section we introduce the ideas of average and instantaneous rates of change, and show tahthat they are closely related to the slpop ee fo of a curve at a lpoint P on the curve. We grivive precise development ss of these important concepts in the next chapter, but for now we use an informal approach so you will soee how they leadd naturally to the nmain idea of this chapter, the limit. the The idesa 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 356 170 110 31 126 93 125 113 89 33 96 105 189 63 131 70 125 158 62 66 120 16 78 53 70
Character l e p s u -u - -s -p -e -l e p s - -s -p l p s u s
Milliseconds 95 79 94 63 79 74 216 128 151 124 156 109 92 205 140 96 327 139 128 171 127 91 77 48 155
Character u n d e r s t a n d h o w a c h a n g e
Milliseconds 111 52 104 62 138 64 93 143 46 122 62 62 62 46 31 110 62 110 94 77 94 62 93 33 61
Character i n o n e u -u q u a n t i t y i s r e l a
Milliseconds 52 59 31 160 78 79 124 372 312 76 77 94 204 93 94 78 46 64 160 106 96 95 75 126 62
Character t e d t o c -c a c h a n g e i n a n o t
Milliseconds 78 144 151 63 94 64 45 125 374 79 93 29 124 144 32 120 48 63 77 49 47 156 109 31 86
Character h e r . H o w d o e s t h e s p e e d o
Milliseconds 102 48 47 127 32 187 62 154 202 233 108 140 78 95 124 64 143 94 156 79 124 109 139 109 202
Character f a t -t f a l l i n g o b j e c t c h a n
Milliseconds 111 111 204 104 158 296 48 48 110 138 62 33 91 143 154 77 184 100 151 156 110 127 123 61 79
Character g e a s a c -c f c u n t -t -n -u -c u n c t i o
Milliseconds 62 46 110 46 63 67 119 32 203 281 63 170 32 109 140 186 141 156 110 158 33 73 174 44 32
Character n o f t i m e ? H o w d o e s t h e l
Milliseconds 47 48 108 63 61 123 63 81 44 220 46 158 172 91 93 78 96 62 63 62 172 108 315 122 114
Character e v e l o f w a t e r i n a b a r r e l
Milliseconds 73 127 107 94 48 124 280 124 109 129 92 109 79 30 94 66 27 62 83 109 90 63 404 129 122
Character c h a n g e a s a f u n c t i n o o -o -
Milliseconds 47 111 78 96 63 98 26 139 62 155 172 62 124 63 98 59 94 156 110 49 15 150 110 236 157
Character -o -n o n o f t h e a m o u n t o f l i q
Milliseconds 129 121 168 31 95 92 110 110 62 81 47 135 125 63 78 93 31 124 93 140 32 110 315 62 93
Character e u -u -e u i d p o u r e d i n t o i t ? W
Milliseconds 175 62 251 138 140 31 125 109 203 170 93 327 108 157 74 81 16 110 109 536 151 48 284 63 453
Character e s e e c h a n g w -w e -e - e o c c u r i
Milliseconds 188 110 78 61 171 82 92 63 81 77 80 124 63 347 114 249 139 79 66 155 109 142 109 147 120
Character n -n -i r i n g i n n e a r l y e v e r y t h
Milliseconds 61 282 155 77 80 30 96 89 16 94 30 157 62 79 30 79 94 45 141 141 110 48 78 174 46
Character i n g e w -w -e w e o b s e r v e i n t h e
Milliseconds 78 125 92 93 80 93 250 126 93 16 111 153 61 157 95 110 185 108 63 63 50 46 123 96 61
Character w o r l d a n d u n i v e r s e , a n d
Milliseconds 46 127 77 124 94 93 81 47 105 79 62 47 95 124 62 147 25 63 110 123 47 47 109 63 77
Character p o w e r f u l m o d e r n i n s t r u m e n
Milliseconds 48 157 62 33 49 186 75 124 469 284 45 109 143 65 142 93 85 71 93 50 137 127 230 79 93
Character t s h l e p - -p -e -l e p -p l p u s s e e
Milliseconds 51 119 32 125 94 98 103 79 281 139 142 127 122 233 361 205 141 94 95 103 100 109 64 137 64
Character m o r e a n d m o r e . I n t h i s s e
Milliseconds 109 15 80 46 65 44 108 47 76 63 48 31 46 157 63 187 282 93 111 77 29 111 109 94 108
Character c t i o n w e i n t r o d u c e t h e i d
Milliseconds 156 156 62 47 31 83 43 30 112 186 48 125 127 63 108 124 65 76 78 79 77 47 97 28 79
Character e a s o f a v e r a g e a n d i n s t a n
Milliseconds 158 93 108 112 62 64 77 234 173 142 44 125 97 75 93 65 92 77 61 129 75 63 61 125 139
Character t a n e o u s r a t e s o f c h a n g e ,
Milliseconds 159 231 127 250 123 128 94 93 66 93 76 65 142 64 44 78 78 109 47 78 96 77 33 62 61
Character a n d s h o w t a h t -t -h -a h a t t h e y
Milliseconds 47 124 45 110 110 61 32 66 122 295 219 0 202 250 125 125 124 46 36 74 63 80 77 79 32
Character a r e c l o s e l y r e l a t e d t o t h
Milliseconds 94 44 47 79 104 110 125 31 172 110 94 142 125 46 156 92 95 129 151 83 91 77 47 50 107
Character e s l p -p o p e -e - e f o - -o -f o f a
Milliseconds 14 109 108 96 262 376 219 47 216 97 250 93 157 233 155 31 172 223 140 125 157 78 70 72 94
Character c u r v e a t a l -l p o i n t P o n t
Milliseconds 45 143 60 156 112 105 62 63 46 130 0 199 356 173 138 47 64 62 158 93 263 202 77 111 138
Character h e c u r v e . W e g r i v -v -i -r i v e p
Milliseconds 94 63 77 50 106 78 174 109 185 79 139 159 136 235 140 125 80 219 143 122 123 62 94 78 31
Character r e c i s e d e v e l o p m e n t s -s - s o
Milliseconds 126 78 186 124 94 95 79 200 156 111 123 94 156 16 184 77 111 93 130 30 407 141 76 79 47
Character f t h e s e i m p o r t a n t c o n c e p t
Milliseconds 63 107 47 111 46 80 77 64 110 65 106 158 63 141 31 451 80 126 141 90 62 64 94 94 77
Character s i n t h e n e x t c h a p t e r , b u
Milliseconds 79 93 98 59 46 160 26 173 67 121 32 170 111 79 138 82 108 63 64 108 80 109 19 170 94
Character t f o r n o w w e u s e a n i n f o r
Milliseconds 123 80 92 95 78 51 58 63 80 93 93 78 112 78 62 66 107 94 82 58 110 78 76 124 65
Character m a l a p p r o a c h s o y o u w i l l
Milliseconds 112 91 107 96 138 98 113 117 123 96 93 125 405 93 109 92 99 138 48 30 315 73 79 123 63
Character s o -o e e h o w t h e y l e a d -d d n a t
Milliseconds 97 235 232 108 125 61 48 32 94 93 46 110 65 61 62 128 73 63 131 244 331 109 154 187 125
Character u r a l l y t o t h e n -n m a i n i d e a
Milliseconds 171 94 109 15 144 75 48 109 62 47 78 97 76 78 95 253 139 62 81 45 77 130 74 126 79
Character o f t h i s c h a p t e r , t h e l i m
Milliseconds 106 102 39 78 64 64 74 127 108 124 112 108 32 81 89 78 66 28 109 78 77 79 63 81 76
Character i t . t h e - -e -h -t T h e i d e s -s a o f
Milliseconds 126 107 111 60 173 93 62 112 265 141 141 123 93 93 80 79 79 77 220 268 325 79 63 93 78
Character a l i m i t p l a y s a f o u n d a t i
Milliseconds 77 62 113 167 80 169 46 82 138 106 160 92 95 92 77 79 82 107 111 80 46 156 110 64 93
Character o n a l r o l e t h r o u g h o u t c a l c
Milliseconds 45 31 80 127 75 282 105 187 77 93 77 94 111 65 33 104 80 77 61 80 107 144 136 95 158
Character u l u s .
Milliseconds 109 109 281 125 110
WPM Timing
Seconds WPM
2.11 96.67
4.22 73.92
6.33 70.13
8.44 90.98
10.55 88.71
12.66 92.88
14.77 95.04
16.88 93.82
18.99 95.4
21.1 90.98
23.21 94.08
25.32 94.3
27.43 96.67
29.54 95.45
31.65 96.67
33.77 94.18
35.88 92.99
37.99 91.61
40.1 90.68
42.21 91.83
44.32 92.88
46.43 95.63
48.54 95.18
50.65 93.59
52.76 93.48
54.87 94.48
56.98 96.25
59.09 97.28
61.2 97.65
63.31 97.62
65.42 98.32
67.53 98.27
69.64 95.98
71.75 95.83
73.86 96.18
75.97 94.93
78.08 95.28
80.19 95.32
82.3 95.79
84.41 96.53
86.52 97.64
88.63 97.48
90.74 97.73
92.85 97.31
94.96 97.93
97.07 98.65
99.19 97.39
101.3 97.73
103.41 98.18
105.52 98.26