Victor (vertlance)

Race #201

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Official speed 94.32 wpm (109.92 seconds elapsed during race)
Without ending ping 94.44 wpm (141 ms delay sending score to TypeRacer’s server)
Timerless 95.36 wpm (1,063 ms elapsed before first character typed; 108.72 seconds elapsed during race)
Timerless minus one 95.25 wpm, ignoring the first character typed
Race Start November 16, 2024 3:48:15am UTC
Race Finish November 16, 2024 3:50:04am UTC
Outcome No win (4 of 5)
Opponents 1. stupididiot9 (122.74 wpm)
2. mapra99 (104.51 wpm)
3. zoltanstudios (99.52 wpm)
5. neil_dudheker (78.91 wpm)
Accuracy 97.2%
Points 254.65
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 Cakcylculus is a tyooool that helps us understand how a change in one wquanquantity is related to a change in another. How does the speed of a falling objkecjeect change as a function of time? How dowes the tlelevel of water in a barrel change as a function of the amount of liquid poured into it? We see change coorccuring in ruing iin nearly everything we observe in the world and universe, and powerful modern instruments help us lsee more and more. In this esection we introduce the ideas of average and instantatenouneous rates of change, and show that they are closely realtelated to the slope of a curve at a point P on the curve. We give preicise delevelvelopments of these important concepts in the cnext chanpter, but for now we use an informal approahch so you will see how they leaf d mnnaturally to the main idea oif f this chapter, the limit. The idfea ea of a limit plays a fountaiodational role throughout calculus.
Timing
Character C a k c y -y -c -k l c u l u s i s a t y o o -o
Milliseconds 1063 134 613 162 89 493 160 126 625 347 131 187 203 96 113 76 52 82 70 61 146 7 35 141 290
Character -o -y o o l t h a t h e l p s u s u n d e r
Milliseconds 152 106 151 139 143 54 61 77 57 60 77 132 70 139 68 78 49 85 70 69 146 136 47 92 36
Character s t a n d h o w a c h a n g e i n o n e
Milliseconds 118 92 79 55 76 81 65 107 32 74 65 60 105 50 47 71 68 42 68 50 56 65 143 42 98
Character w q u a n -n -a -u -q -w q u a n t i t y i s r e
Milliseconds 55 249 51 55 153 31 206 145 126 126 317 150 62 138 63 130 80 84 162 105 85 54 59 206 63
Character l a t e d t o a c h a n g e i n a n o t
Milliseconds 104 84 158 56 141 69 71 61 62 101 81 106 24 91 50 77 140 88 144 43 84 104 93 123 61
Character h e r . H o w d o e s t h e s p e e d o
Milliseconds 63 44 59 105 70 168 120 55 56 139 62 96 133 63 66 79 113 74 174 84 79 82 134 57 62
Character f a f a l l i n g o b j k e c -c -e -k j e -e -j
Milliseconds 83 64 95 60 202 104 57 118 175 20 44 41 64 150 97 8 21 142 245 147 153 349 52 294 145
Character e c t c h a n g e a s a f u n c t i o n
Milliseconds 118 143 159 59 325 87 70 91 55 48 71 89 62 85 56 84 106 81 79 149 147 29 57 112 61
Character o f t i m e ? H o w d o w -w e s t h e t
Milliseconds 85 26 77 103 91 111 37 188 116 229 131 70 44 132 70 89 376 186 133 68 74 67 50 54 197
Character l e -e -l -t l e v e l o f w a t e r i n a
Milliseconds 89 69 250 144 101 137 21 125 48 77 97 140 36 94 211 125 91 90 69 45 63 45 61 63 90
Character b a r r e l c h a n g e a s a f u n c t i
Milliseconds 78 93 114 118 66 110 104 153 65 66 79 45 50 64 132 75 52 102 66 170 104 90 78 166 48
Character o n o f t h e a m o u n t o f l i q u i
Milliseconds 43 134 67 53 76 59 82 38 57 74 170 68 131 56 130 44 75 51 82 61 50 181 99 112 65
Character d p o u r e d i n t o i t ? W e s e e
Milliseconds 244 100 247 182 50 91 131 132 58 18 58 81 97 93 97 56 138 125 263 201 127 158 140 131 91
Character c h a n g e c o -o -c o r -r c c u r i n g i n
Milliseconds 223 63 58 83 52 46 62 171 71 165 126 140 97 316 53 132 77 148 119 63 62 48 117 40 78
Character - -n -i - -g -n -i r u -u i n g i -i i n n e a r l y
Milliseconds 338 157 146 151 146 141 1104 597 69 301 215 46 309 105 223 269 625 41 99 103 58 144 66 95 104
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 71 103 147 88 64 49 112 67 70 91 63 52 102 7 101 432 157 221 153 48 171 65 77 37 36
Character t h e w o r l d a n d u n i v e r s e ,
Milliseconds 66 76 58 47 75 88 44 64 89 52 61 82 49 70 52 129 85 154 227 117 52 135 142 67 113
Character a n d p o w e r f u l m o d e r n i n s t r
Milliseconds 194 62 77 84 134 85 66 55 153 133 52 169 74 108 43 97 89 83 107 110 110 46 266 107 62
Character u m e n t s h e l p u s l -l s e e m o r e
Milliseconds 58 137 62 98 7 130 52 123 51 136 39 73 121 53 70 724 248 43 152 105 63 83 58 297 71
Character a n d m o r e . I n t h i s e -e s e c t
Milliseconds 59 126 46 67 25 79 51 63 46 80 108 139 77 138 57 89 45 58 65 145 289 86 128 136 147
Character i o n w e i n t r o d u c e t h e i d e a
Milliseconds 20 35 122 61 81 87 11 388 44 215 51 170 105 106 64 187 90 75 62 44 54 106 91 124 117
Character s o f a v e r a g e a n d i n s t a n t a
Milliseconds 77 27 92 96 63 132 132 140 76 134 123 65 45 119 64 56 43 91 59 75 101 97 95 85 144
Character t -t e n o u -u -o -n -e n e o u s r a t e s o f
Milliseconds 121 304 119 92 160 54 221 140 144 99 166 50 113 40 107 89 366 91 105 56 125 97 85 110 56
Character c h a n g e , a n d s h o w t h a t t h e
Milliseconds 118 70 65 84 72 45 107 93 118 174 152 56 121 60 108 41 66 77 44 67 63 75 161 56 79
Character y a r e c l o s e l y r e a l t e -e -t -l -a l
Milliseconds 87 29 88 65 72 67 156 52 132 30 129 50 76 78 126 68 113 49 139 63 255 145 139 112 187
Character a t e d t o t h e s l o p e o f a c u
Milliseconds 315 85 96 118 102 124 123 112 19 174 116 94 201 95 151 82 127 75 86 87 54 103 72 154 109
Character r v e a t a p o i n t P o n t h e c
Milliseconds 83 165 49 98 93 108 73 56 72 133 38 207 144 38 52 133 103 116 188 67 86 69 41 61 118
Character u r v e . W e g i v e p r e i -i c i s e d
Milliseconds 57 111 143 49 87 149 122 217 94 376 84 90 37 97 189 58 58 220 275 80 79 87 169 170 281
Character e l -l e v e l -l -e -v -e v e l o p m e n t s o f
Milliseconds 99 89 231 110 72 90 114 261 143 136 315 156 109 126 168 65 217 95 107 36 140 51 125 395 62
Character t h e s e i m p o r t a n t c o n c e p t s
Milliseconds 106 97 41 151 154 96 40 38 135 53 28 127 158 87 83 73 274 55 117 88 51 126 84 128 60
Character i n t h e c -c n e x t c h a n -n p t e r ,
Milliseconds 152 70 201 95 99 49 91 157 226 167 54 139 93 74 137 73 22 122 258 111 90 112 51 102 145
Character b u t f o r n o w w e u s e a n i n f
Milliseconds 309 88 64 76 84 62 83 34 52 67 111 83 158 65 78 271 82 140 65 114 77 64 93 68 68
Character o r m a l a p p r o a h -h c h s o y o u w
Milliseconds 152 98 77 76 90 63 174 119 124 134 87 71 147 345 78 101 88 408 51 53 106 49 44 55 69
Character i l l s e e h o w t h e y l e a f - -f d
Milliseconds 60 160 109 45 72 150 112 55 72 129 52 53 319 20 141 80 62 176 51 117 126 92 229 152 92
Character m n -n -m n a t u r a l l y t o t h e m a i
Milliseconds 34 182 12 312 150 167 73 112 93 122 221 107 136 72 68 283 45 100 70 63 61 57 85 63 87
Character n i d e a o i f - -f -i f t h i s c h a p
Milliseconds 53 50 195 199 143 132 151 126 9 61 92 211 157 122 74 61 94 53 62 54 48 189 56 49 104
Character t e r , t h e l i m i t . T h e i d f e a
Milliseconds 75 71 57 49 110 103 64 52 56 111 190 42 103 63 113 89 123 80 76 49 179 140 6 56 155
Character - -a -e -f e a o f a l i m i t p l a y s
Milliseconds 48 165 145 132 127 85 144 56 93 110 57 198 41 115 183 94 46 454 97 290 53 63 144 49 60
Character a f o u n t a i o -o -i -a -t d a t i o n a l r o
Milliseconds 72 89 174 49 46 135 112 103 100 73 293 152 141 418 90 75 114 46 56 114 81 104 106 207 211
Character l e t h r o u g h o u t c a l c u l u s .
Milliseconds 137 42 60 66 47 103 23 47 58 105 97 68 28 85 238 83 47 95 100 158 133 76 63
WPM Timing
Seconds WPM
2.2 10.92
4.4 19.1
6.6 43.67
8.79 68.23
10.99 69.87
13.19 76.42
15.39 84.99
17.59 90.74
19.79 86.73
21.98 88.97
24.18 90.81
26.38 89.15
28.58 92.37
30.78 96.3
32.98 97.16
35.18 97.23
37.37 95.36
39.57 90.06
41.77 86.76
43.97 87.06
46.17 88.37
48.37 90.06
50.56 91.37
52.76 91.2
54.96 93.01
57.16 93
59.36 94
61.56 93.96
63.76 93.17
65.95 94.61
68.15 94.73
70.35 94.33
72.55 95.11
74.75 95.84
76.95 95.29
79.15 93.25
81.34 93.23
83.54 93.94
85.74 93.63
87.94 94.16
90.14 94.52
92.34 95
94.53 94.31
96.73 94.4
98.93 94.13
101.13 95.16
103.33 94.53
105.53 94.38
107.73 93.57
109.92 94.32