Matt Murdock (computer_scientist)

Race #1392

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Official speed 90.94 wpm (114.01 seconds elapsed during race)
Without ending ping 91.31 wpm (467 ms delay sending score to TypeRacer’s server)
Timerless 91.47 wpm (197 ms elapsed before first character typed; 113.35 seconds elapsed during race)
Timerless minus one 91.37 wpm, ignoring the first character typed
Race Start November 14, 2024 6:51:18pm UTC
Race Finish November 14, 2024 6:53:12pm UTC
Outcome No win (2 of 2)
Opponents 1. mattymarsh (116.35 wpm)
Accuracy 96.7%
Points 245.54
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 howe a a change in one quantity is related to a change in another. How does the speed of a falling object chagne change as f a function at of time? How does the level of weatewater ina . a bareerel change as a funtction of the amount of liquied d pourdeded into it? WSe e see change occurring in nearly everything we obsevrve in the world and universe, and powerful modern instruments hlp9elp us see more an dmod moe. re. In this section we introduce the ideas of average and instanteaneous rates of chagne,nge, and show that they are closely related to the slop e of a uccuvrve at a point P on the curve. We give precise deelovelopment os of these important concepts in the next chatppter, but for now we use an informal approach so yiou will see how they lead naturally to the main idea of this chapter, the lkiimit. The idea of a limit palylays 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 197 187 96 95 84 214 204 147 51 118 120 11 309 394 98 59 140 202 81 134 56 70 58 32 383
Character e l p s u s u n d e r s t a n d h o w e a
Milliseconds 107 34 168 125 33 105 59 70 166 140 69 157 17 120 132 67 52 97 56 84 90 72 11 61 132
Character - -a - -e a c h a n g e i n o n e q u a
Milliseconds 15 331 149 165 152 172 77 237 181 68 93 76 69 133 102 105 106 81 124 109 65 75 133 73 109
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 94 187 512 98 206 102 95 205 138 81 76 81 92 91 111 112 68 86 41 84 83 89 144 49 102
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 83 51 101 115 104 128 2 136 58 139 66 99 75 41 85 33 165 101 58 76 103 53 113 88 116
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 51 76 52 62 103 48 124 258 22 414 82 55 80 52 116 113 134 100 170 191 139 39 65 82 48
Character j e c t c h a g n e -c -h -a -g -n -e - c h a n g e
Milliseconds 118 53 197 124 85 131 59 71 98 22 109 151 517 0 0 0 0 0 0 308 59 129 85 17 127
Character a s f - -f a f u n c t i o n a t - -t -a
Milliseconds 143 98 151 66 81 176 311 132 66 117 92 108 154 32 166 21 79 79 102 19 163 92 273 171 120
Character o f t i m e ? H o w d o e s t h e l e v
Milliseconds 195 74 60 118 66 115 34 195 106 166 137 96 65 124 45 118 100 133 105 98 78 50 93 75 165
Character e l o f w e a t e -w -e -a -t -e w a t e r i n a
Milliseconds 109 73 87 89 42 93 111 16 36 120 118 321 0 0 0 0 320 122 101 128 66 33 83 125 59
Character . - -. -a a b a r e e -e -e r e l c h a n g e
Milliseconds 0 168 350 165 156 111 86 98 102 254 168 95 213 336 123 91 216 101 107 78 65 82 110 75 1
Character a s a f u n t -t c t i o n o f t h e a
Milliseconds 122 295 154 84 68 109 52 114 158 198 298 414 281 73 78 92 89 103 58 81 96 39 75 65 106
Character m o u n t o f l i q u i e d - -d -e d p o u
Milliseconds 37 126 87 153 47 87 60 66 74 173 159 95 90 135 115 195 32 272 143 154 73 72 118 169 379
Character r d e d -d -e -d e d i n t o i t ? W S e - -e
Milliseconds 74 186 195 148 163 154 131 66 169 15 69 142 88 44 90 119 34 212 55 136 0 155 111 221 160
Character -S e s e e c h a n g e o c c u r r i n g i
Milliseconds 181 20 416 71 161 116 58 159 51 83 101 56 92 106 95 132 134 148 107 172 164 131 48 98 48
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 117 71 129 100 58 75 37 136 64 123 157 124 55 105 99 67 100 134 24 125 53 123 101 110 39
Character s e v -v r v e i n t h e w o r l d a n d
Milliseconds 214 134 193 482 101 175 125 64 94 127 19 76 80 60 88 72 77 26 135 57 93 168 82 117 15
Character u n i v e r s e , a n d p o w e r f u l m o
Milliseconds 169 157 134 51 198 0 199 429 97 114 53 85 81 51 68 141 78 86 27 154 78 181 85 156 129
Character d e r n i n s t r u m e n t s h l p 9 -9 -p -l e
Milliseconds 90 124 85 16 70 249 127 89 118 139 75 201 69 104 46 119 62 134 183 219 15 301 148 140 134
Character l p u s s e e m o r e a n d m o -o -m -d -
Milliseconds 99 449 129 149 101 19 182 180 163 96 153 89 54 63 84 119 0 137 17 93 148 243 159 164 152
Character d m o e . - -. -e r e . I n t h i s s e c
Milliseconds 117 33 160 127 88 137 37 294 162 153 78 34 121 43 163 137 82 91 85 125 100 83 101 167 212
Character t i o n w e i n t r o d u c e t h e i d e
Milliseconds 140 36 94 100 134 82 108 108 86 296 75 145 76 121 86 116 136 65 101 64 75 63 153 60 165
Character a s o f a v e r a g e a n d i n s t a n t
Milliseconds 85 151 83 102 516 85 81 269 157 52 107 111 106 47 132 53 99 40 84 125 17 129 51 36 333
Character e -e a n e o u s r a t e s o f c h a g n e ,
Milliseconds 143 480 95 133 100 114 127 92 70 72 84 108 152 130 134 17 302 141 115 61 57 115 25 90 135
Character -, -e -n -g n g e , a n d s h o w t h a t t h
Milliseconds 275 163 172 136 214 33 101 104 98 32 99 69 63 98 52 83 75 95 130 75 10 98 86 88 77
Character e y a r e c l o s e l y r e l a t e d t o
Milliseconds 90 77 100 97 76 62 99 121 78 157 68 80 146 51 139 78 72 126 70 80 150 104 86 113 48
Character t h e s l o p - e o f a u c -c -u c u v
Milliseconds 90 60 114 69 99 91 133 163 209 171 372 50 98 100 47 136 61 108 298 136 167 124 137 99 402
Character -v r v e a t a p o i n t P o n t h e
Milliseconds 299 41 175 117 67 107 105 87 94 77 146 133 104 103 68 72 121 144 104 150 64 70 78 21 125
Character c u r v e . W e g i v e p r e c i s e d e
Milliseconds 162 287 60 155 110 53 81 152 80 145 71 86 84 124 148 36 57 88 198 63 136 158 100 123 150
Character e l o -o -l -e v e l o p m e n t o -o - s o f t
Milliseconds 263 67 142 239 157 141 94 100 65 159 175 357 66 111 99 99 85 242 155 104 99 106 328 109 59
Character h e s e i m p o r t a n t c o n c e p t s i
Milliseconds 72 58 167 101 57 127 149 183 207 163 154 63 62 58 145 158 72 169 64 182 95 260 148 55 102
Character n t h e n e x t c h a t p -p -t p t e r , b
Milliseconds 122 21 117 51 95 54 73 46 160 145 83 144 57 122 121 50 393 149 255 75 143 23 59 74 87
Character u t f o r n o w w e u s e a n i n f o
Milliseconds 82 81 60 135 31 135 121 163 101 66 84 70 146 69 148 51 117 94 79 93 65 88 112 56 115
Character r m a l a p p r o a c h s o y i -i o u w i
Milliseconds 79 110 82 118 123 110 130 148 69 94 122 191 62 66 92 53 127 59 84 349 215 121 59 86 70
Character l l s e e h o w t h e y l e a d n a t u
Milliseconds 133 144 51 80 105 148 87 94 67 99 73 48 95 43 68 74 102 52 51 128 85 74 39 122 105
Character r a l l y t o t h e m a i n i d e a o f
Milliseconds 78 129 31 155 102 104 66 70 89 307 13 149 65 122 79 52 132 98 67 31 155 131 216 271 93
Character t h i s c h a p t e r , t h e l k i -i -k i
Milliseconds 70 117 24 107 73 81 120 45 133 102 56 164 29 42 74 91 75 70 38 144 145 239 230 120 200
Character m i t . T h e i d e a o f a l i m i t
Milliseconds 149 150 100 101 32 109 104 104 32 77 107 167 90 65 64 68 95 53 99 140 176 157 144 60 73
Character p a l y -y -l -a l a y s a f o u n d a t i o n a
Milliseconds 99 139 32 203 214 135 127 184 66 134 100 156 112 96 104 82 101 148 52 66 109 24 75 77 132
Character l r o l e t h r o u g h o u t c a l c u l u
Milliseconds 74 126 130 100 167 65 104 71 72 107 51 514 79 102 122 106 11 124 292 54 95 117 75 128 162
Character s .
Milliseconds 76 77
WPM Timing
Seconds WPM
2.28 73.68
4.56 92.1
6.84 85.96
9.12 90.78
11.4 91.57
13.68 99.99
15.96 101.5
18.24 96.7
20.52 92.97
22.8 92.1
25.08 93.77
27.36 90.78
29.64 86.63
31.92 87.21
34.2 88.41
36.48 86.84
38.76 85.44
41.04 84.2
43.32 85.87
45.6 86.84
47.88 87.96
50.16 88.51
52.44 89.47
54.72 87.49
57 86.73
59.28 86.03
61.56 86.54
63.85 86.84
66.13 87.29
68.41 87.19
70.69 86.75
72.97 88.32
75.25 88.51
77.53 87.3
79.81 87.96
82.09 88.59
84.37 87.76
86.65 87.11
88.93 87.31
91.21 87.76
93.49 88.05
95.77 88.84
98.05 88.98
100.33 90.06
102.61 90.4
104.89 90.61
107.17 91.15
109.45 90.56
111.73 91.08
114.01 90.94