Cas (casss24)

Race #28

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Official speed 100.28 wpm (103.39 seconds elapsed during race)
Without ending ping 100.58 wpm (309 ms delay sending score to TypeRacer’s server)
Timerless 100.95 wpm (375 ms elapsed before first character typed; 102.71 seconds elapsed during race)
Timerless minus one 100.83 wpm, ignoring the first character typed
Race Start January 3, 2024 9:37:36am UTC
Race Finish January 3, 2024 9:39:19am UTC
Outcome No win (2 of 4)
Opponents 1. _ehsaas_gupta (112.39 wpm)
Accuracy 97.0%
Points 270.76
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 sttool that helps uis sus uyndnderstand how a changeo i in one quantity is related to a change in another. How des toes the speed of a falling object change as a function of time? How does the level of water in a barrle cel change as a function of the amoutn nt of liquid puooured into it? We see change occurring in nearly everything we observe in the world and universe,m a and powerful modern instruments help us see mrpoe ore and more. In this section we introduce the ideas of average and instantaneuous rates of change,m a and sohhow that they are closely related to the slope of a curve at a point P oinn the curve/.. We give precise developments of these impritkortanmt t concepts in the next chapter, but for now we use an informal apporacroach so you will see how they lead natrurally to the main idea of this chapter, the limit. The idea of a limit playass a foundational role throughout calculkuus.
Timing
Character C a l c u l u s i s a s t -t -s t o o l t h
Milliseconds 375 147 186 189 269 207 521 175 91 108 92 62 77 100 93 98 169 126 122 61 169 500 98 67 151
Character a t h e l p s u i s - -s -i -u s -s u s u y n
Milliseconds 65 90 58 84 60 27 83 74 51 95 0 80 35 288 126 143 163 142 249 188 154 50 147 17 156
Character d -d -n -y n d e r s t a n d h o w a c h a n g
Milliseconds 18 351 142 128 176 39 136 24 139 91 95 85 17 162 97 134 45 81 70 94 86 148 58 74 64
Character e o i -i - -o i n o n e q u a n t i t y i
Milliseconds 78 99 3 8 393 139 411 250 94 114 197 283 79 70 94 95 82 94 87 97 92 102 139 60 77
Character s r e l a t e d t o a c h a n g e i n
Milliseconds 64 80 33 91 106 116 83 85 141 43 75 75 57 136 201 144 174 57 87 51 78 53 44 159 113
Character a n o t h e r . H o w d e s t -t - -s -e o e s
Milliseconds 70 94 83 23 152 41 57 73 50 146 122 57 93 79 134 68 92 97 209 136 131 492 166 69 80
Character t h e s p e e d o f a f a l l i n g o
Milliseconds 48 71 144 13 92 97 55 95 136 126 71 92 63 83 46 131 193 73 125 131 162 20 61 64 54
Character b j e c t c h a n g e a s a f u n c t i o
Milliseconds 79 132 78 116 142 90 97 150 55 67 57 67 57 63 100 74 104 97 96 180 181 75 154 53 69
Character n o f t i m e ? H o w d o e s t h e l
Milliseconds 51 100 60 75 80 71 67 172 65 180 64 147 249 79 170 76 84 84 75 46 84 141 20 68 76
Character e v e l o f w a t e r i n a b a r r l e
Milliseconds 49 86 107 96 125 119 86 74 59 96 55 95 68 81 76 144 56 63 84 79 83 152 135 124 29
Character c -c - -e -l e l c h a n g e a s a f u n c
Milliseconds 97 69 277 132 123 146 142 102 17 147 175 36 81 49 77 51 77 92 105 73 148 114 140 243 161
Character t i o n o f t h e a m o u t n - -n -t n t
Milliseconds 195 82 85 75 85 80 88 93 78 127 35 53 105 192 81 197 109 101 113 206 126 122 164 56 80
Character o f l i q u i d p u o -o -u o u r e d i n t o
Milliseconds 75 93 66 121 184 127 71 154 137 72 115 228 194 245 125 187 188 41 62 122 54 78 146 86 79
Character i t ? W e s e e c h a n g e o c c u r r
Milliseconds 406 117 98 193 74 156 240 91 92 79 153 86 91 144 54 55 72 62 63 121 93 136 118 133 148
Character i n g i n n e a r l y e v e r y t h i n g
Milliseconds 143 89 67 87 36 165 43 107 58 70 64 88 97 87 94 116 91 113 177 152 128 101 34 29 116
Character w e o b s e r v e i n t h e w o r l d a
Milliseconds 102 69 111 140 78 138 61 68 187 68 74 112 164 86 49 116 44 83 78 58 88 85 58 43 73
Character n d u n i v e r s e , m a -a - -m a n d p o
Milliseconds 76 86 56 66 148 95 28 70 99 123 52 106 0 85 63 262 134 119 55 59 117 53 74 95 132
Character w e r f u l m o d e r n i n s t r u m e n t s
Milliseconds 57 39 62 142 70 175 107 64 97 21 132 74 86 108 93 153 37 71 76 70 193 84 101 32 80
Character h e l p u s s e e m r p o e - -e -o -p -r o
Milliseconds 43 92 81 31 62 72 104 406 92 100 83 153 90 40 87 6 0 35 109 256 129 137 139 133 241
Character r e a n d m o r e . I n t h i s s e c t
Milliseconds 75 63 44 56 86 88 48 72 48 51 62 179 104 141 284 98 70 147 86 45 68 111 53 104 156
Character i o n w e i n t r o d u c e t h e i d e a
Milliseconds 71 98 31 103 73 61 88 115 156 57 59 84 116 88 79 59 78 77 136 24 77 57 64 133 55
Character s o f a v e r a g e a n d i n s t a n t a
Milliseconds 108 80 159 88 194 96 109 93 102 105 104 89 47 73 119 87 81 131 138 77 71 101 138 374 119
Character n e u -u o u s r a t e s o f c h a n g e , m
Milliseconds 197 108 208 394 122 191 92 56 115 230 105 96 93 83 91 92 73 94 147 44 76 61 78 74 0
Character a -a - -m a n d s o h -h -o h o w t h a t t
Milliseconds 69 64 214 137 127 80 48 109 80 86 90 104 58 285 131 109 46 102 61 71 145 43 110 107 90
Character h e y a r e c l o s e l y r e l a t e d t
Milliseconds 198 81 105 96 71 107 50 70 117 80 154 46 51 94 271 153 102 376 170 91 96 72 147 27 82
Character o t h e s l o p e o f a c u r v e a t
Milliseconds 91 113 48 132 47 70 86 46 146 127 72 58 100 79 74 77 99 68 142 49 205 100 73 87 104
Character a p o i n t P o i n -n -i n t h e c u r
Milliseconds 103 47 213 272 152 148 159 39 71 136 147 106 5 88 263 131 118 119 90 132 36 72 100 87 133
Character v e / . -. -/ . W e g i v e p r e c i s e d
Milliseconds 199 88 155 0 390 183 194 291 202 221 97 71 519 92 64 83 177 64 292 170 133 151 69 111 97
Character e v e l o p m e n t s o f t h e s e i m p r
Milliseconds 109 89 100 53 181 63 231 102 123 52 102 75 58 79 79 82 122 44 171 43 95 63 165 137 110
Character i t k -k -t -i -r o r t a n m t - -t -m t c o n c e
Milliseconds 57 0 20 320 146 142 109 135 82 53 87 72 6 83 125 229 132 136 62 98 97 63 171 17 67
Character p t s i n t h e n e x t c h a p t e r ,
Milliseconds 116 63 82 57 56 180 76 58 141 27 77 63 62 165 73 82 105 172 73 34 124 85 88 85 110
Character b u t f o r n o w w e u s e a n i n f
Milliseconds 73 100 83 86 77 108 41 118 80 77 26 69 96 37 85 109 64 49 61 109 54 94 85 116 67
Character o r m a l a p p o r a c -c -a -r -o r o a c h s o
Milliseconds 108 91 78 109 81 36 98 122 129 118 50 99 114 182 126 131 124 76 89 71 79 155 82 77 48
Character y o u w i l l s e e h o w t h e y l e
Milliseconds 75 198 191 176 71 58 78 169 124 37 40 69 132 98 82 70 75 66 76 175 64 123 78 79 51
Character a d n a t r -r u r a l l y t o t h e m a i
Milliseconds 81 106 63 76 20 81 89 366 184 42 75 113 141 70 82 92 92 71 47 142 20 91 38 95 74
Character n i d e a o f t h i s c h a p t e r , t
Milliseconds 115 31 131 38 116 87 78 93 83 81 76 120 74 54 47 117 143 64 79 195 101 98 128 124 86
Character h e l i m i t . T h e i d e a o f a l
Milliseconds 165 47 72 59 156 169 82 60 155 66 110 155 20 94 93 55 122 57 89 68 74 88 46 131 34
Character i m i t p l a y a s -s -a s a f o u n d a t i
Milliseconds 161 170 51 75 62 88 110 27 55 90 28 381 112 91 59 83 109 77 76 192 142 37 72 70 50
Character o n a l r o l e t h r o u g h o u t c a l c
Milliseconds 77 63 180 149 89 84 129 143 57 61 53 165 15 96 110 67 138 93 150 83 100 219 82 77 101
Character u l k u -u -k u s .
Milliseconds 122 162 7 155 249 128 182 40 178
WPM Timing
Seconds WPM
2.07 40.62
4.14 58.03
6.2 58.03
8.27 59.48
10.34 65
12.41 68.67
14.47 76.27
16.54 81.97
18.61 80.6
20.68 84.73
22.75 89.16
24.81 91.4
26.88 95.08
28.95 93.27
31.02 94.4
33.08 92.85
35.15 90.8
37.22 90.6
39.29 92.55
41.36 94.01
43.42 95.89
45.49 96.28
47.56 97.65
49.63 98.17
51.7 97.49
53.76 98.43
55.83 99.51
57.9 99.9
59.97 98.66
62.03 98.66
64.1 98.66
66.17 98.47
68.24 99.53
70.31 99.34
72.37 98.32
74.44 97.2
76.51 97.09
78.58 97.13
80.64 96.27
82.71 97.2
84.78 98.51
86.85 97.83
88.92 98.39
90.98 98.66
93.05 99.69
95.12 100.04
97.19 100.63
99.25 100.71
101.32 101.14
103.39 100.28