str4tos (str4tos)

Race #20655

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Official speed 95.82 wpm (108.20 seconds elapsed during race)
Without ending ping 96.13 wpm (346 ms delay sending score to TypeRacer’s server)
Timerless 97.59 wpm (1,622 ms elapsed before first character typed; 106.24 seconds elapsed during race)
Timerless minus one 97.48 wpm, ignoring the first character typed
Race Start May 15, 2023 11:53:14am UTC
Race Finish May 15, 2023 11:55:02am UTC
Outcome No win (2 of 4)
Opponents 1. suhasmaddali007 (101.86 wpm)
3. ngerks (80.42 wpm)
Accuracy 97.6%
Points 258.72
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 FCalculus is a tool that helps us understand how a chance inge in one quanityttityt is is related to a change in another. How doest he sp 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 moamount of liquid poured into it? We see change cooccuring inring in nearly everything we observe in the world and aununiverse, and powerful modern instruments hep;lp us see more and more. In this section we introduce hte ideathe ideas of average and instantaneous rates of change, and show that they are closely related to the slope of a curve at a poitn Pnt P on the curve. We give precise developemtnments of these important concepts in the next chapter,bu but for now wwee use an informal approach to youso you will see how they lead naturally to the main idea of this chapter, thte limie limit. The idea of a limit plays a foundational role throuhghout calculus.
Timing
Character F -F C a l c u l u s i s a t o o l t h a t
Milliseconds 1622 331 176 121 87 193 66 151 159 99 67 78 102 85 75 64 93 70 126 171 91 80 73 87 32
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 67 30 109 116 126 89 81 84 78 82 53 106 41 202 311 115 57 129 109 65 109 49 66 57 100
Character a c h a n c e i n -n -i - -e -c g e i n o n e
Milliseconds 115 74 110 50 117 79 36 116 71 78 83 286 111 117 92 143 141 107 35 108 82 72 74 82 37
Character q u a n i t y t -t -y -t -i t i t y t i s - -s -i
Milliseconds 63 201 93 93 84 42 79 160 90 245 111 121 125 189 48 122 61 83 57 113 87 72 382 101 220
Character - -t i s r e l a t e d t o a c h a n g e
Milliseconds 164 119 123 123 66 65 114 75 109 95 94 81 202 29 245 53 48 91 81 151 43 100 79 43 122
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 82 302 95 63 91 38 85 86 37 94 59 65 97 159 96 43 111 117 47 96 49 100 0 78 37
Character s p -p -s - -e -h - -t t h e s p e e d o f a
Milliseconds 51 112 90 253 102 96 236 146 121 435 129 98 55 58 67 88 70 108 126 211 89 119 103 37 73
Character f a l l i n g o b j e c t c h a n g e a s
Milliseconds 100 88 129 356 191 85 74 100 53 62 108 181 106 152 161 400 163 62 113 106 50 128 133 170 64
Character a f u n c t i o n o f t i m e ? H o w
Milliseconds 87 98 69 85 74 84 48 165 61 85 23 111 109 228 28 152 37 71 58 239 77 141 154 34 109
Character d o e s t h e l e v e l o f w a t e r i
Milliseconds 126 70 84 88 82 40 45 64 82 59 93 139 102 85 138 36 94 69 83 129 60 114 104 10 78
Character n a b a r r e l c h a n g e a s a f u
Milliseconds 74 44 96 61 27 125 192 130 147 87 86 121 65 103 45 57 98 94 120 48 93 95 77 82 71
Character n c t i o n o f t h e m o -o -m a m o u n t
Milliseconds 93 29 156 58 43 54 72 96 85 8 79 17 64 78 73 87 380 121 170 115 268 50 114 41 100
Character o f l i q u i d p o u r e d i n t o i t ?
Milliseconds 51 101 60 31 46 121 55 148 122 39 91 163 81 114 50 121 72 127 98 114 31 109 104 65 212
Character W e s e e c h a n g e c o -o -c o c c u r i
Milliseconds 145 194 249 91 109 217 126 139 197 59 91 86 45 122 79 183 99 301 382 233 170 154 44 156 80
Character n g i n -n -i - -g -n -i r i n g i n n e a r l y
Milliseconds 86 54 87 108 70 268 112 104 112 139 96 143 78 105 40 67 42 54 155 34 131 117 67 51 98
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 86 94 141 120 89 89 131 58 70 100 39 82 76 64 81 180 77 53 71 52 198 110 84 53 102
Character t h e w o r l d a n d a u n -n -u -a u n i v
Milliseconds 22 58 33 92 56 33 74 95 89 79 116 116 95 44 86 127 110 118 234 210 123 252 82 96 226
Character e r s e , a n d p o w e r f u l m o d e r n
Milliseconds 85 143 174 71 150 82 96 94 51 106 91 146 78 41 53 141 53 110 118 244 56 55 170 49 98
Character i n s t r u m e n t s h e p ; -; -p l p u s
Milliseconds 450 115 63 49 51 172 31 163 91 46 119 81 100 40 109 103 0 505 109 265 161 65 106 66 119
Character s e e m o r e a n d m o r e . I n t h i
Milliseconds 409 191 129 103 62 92 69 44 86 78 57 84 70 44 62 98 32 71 124 135 118 82 46 83 49
Character s s e c t i o n w e i n t r o d u c e h t
Milliseconds 34 96 167 99 211 141 11 69 46 52 140 4 150 92 14 82 165 71 113 39 113 49 80 94 0
Character e i d e a -a -e -d -i - -e -t -h t h e i d e a s o
Milliseconds 46 108 95 39 143 69 288 501 41 19 34 42 39 18 222 81 92 86 38 95 126 95 100 409 101
Character f a v e r a g e a n d i n s t a n t a n e o
Milliseconds 86 70 115 118 136 24 133 91 76 105 375 65 120 91 73 59 29 93 111 103 242 98 661 62 109
Character u s r a t e s o f c h a n g e , a n d s
Milliseconds 81 84 75 44 166 76 51 105 64 87 79 49 166 56 80 98 34 116 88 74 95 72 91 84 90
Character h o w t h a t t h e y a r e c l o s e l y
Milliseconds 77 69 91 60 112 41 111 46 56 64 90 75 77 61 268 74 52 188 26 49 135 88 73 56 69
Character r e l a t e d t o t h e s l o p e o f
Milliseconds 67 180 57 102 95 79 69 137 92 76 46 74 64 37 58 98 86 88 144 173 81 83 72 64 50
Character a c u r v e a t a p o i t n P -P - -n -t n
Milliseconds 78 106 133 89 77 154 115 103 90 70 58 100 83 234 178 76 77 0 73 243 311 111 117 127 242
Character t P o n t h e c u r v e . W e g i v e
Milliseconds 7 112 161 145 133 71 93 64 69 62 71 288 58 120 187 109 90 97 288 194 90 72 77 123 65
Character p r e c i s e d e v e l o p e m t n -n -t -m -e m
Milliseconds 90 52 53 83 144 74 60 67 105 94 148 172 92 118 178 281 80 113 127 91 294 131 193 605 230
Character e n t s o f t h e s e i m p o r t a n t c
Milliseconds 67 103 55 110 78 40 149 48 353 39 104 150 46 81 50 135 26 327 120 137 128 127 65 93 378
Character o n c e p t s i n t h e n e x t c h a p t
Milliseconds 34 72 54 135 65 81 114 77 110 78 69 57 26 98 54 89 35 186 144 112 146 39 139 116 76
Character e r , b u -u -b b u t f o r n o w w w e -e -w
Milliseconds 127 40 120 222 69 399 123 147 132 44 33 83 125 93 43 97 89 97 82 134 84 467 38 353 116
Character e u s e a n i n f o r m a l a p p r o a c
Milliseconds 203 97 124 213 121 501 136 108 77 86 80 102 68 108 54 125 58 104 135 57 98 124 84 92 100
Character h t o y o u -u -o -y - -o -t s o y o u w i l l
Milliseconds 66 76 64 73 52 84 71 43 305 488 27 33 32 35 277 54 118 60 65 52 46 70 69 164 120
Character s e e h o w t h e y l e a d n a t u r a
Milliseconds 109 162 177 123 100 134 53 55 62 53 79 93 20 99 100 40 146 54 80 94 32 86 75 77 76
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 230 130 37 106 81 48 87 248 60 83 94 29 177 77 72 75 128 91 137 62 102 271 121 51 61
Character h i s c h a p t e r , t h t e l i m i -i -m -i
Milliseconds 59 64 69 76 120 49 106 44 77 130 66 46 54 98 38 88 0 87 17 58 123 85 299 504 36
Character -l - -e -t e l i m i t . T h e i d e a o f
Milliseconds 25 45 24 36 420 59 75 43 130 77 129 79 126 171 37 105 86 238 105 127 76 102 78 81 55
Character a l i m i t p l a y s a f o u n d a t i o
Milliseconds 69 112 292 71 129 65 65 92 44 153 94 92 64 70 112 54 253 90 26 99 15 91 73 36 50
Character n a l r o l e t h r o u h -h g h o u t c a l
Milliseconds 81 84 119 27 94 53 136 68 54 73 81 63 41 47 135 551 138 73 74 28 56 83 117 117 138
Character c u l u s .
Milliseconds 187 90 172 120 102 118
WPM Timing
Seconds WPM
2.16 5.55
4.33 63.77
6.49 81.33
8.66 77.63
10.82 75.41
12.98 71.16
15.15 76.84
17.31 80.4
19.48 77.02
21.64 79.85
23.8 82.17
25.97 85.03
28.13 90
30.3 92.68
32.46 93.16
34.62 95.65
36.79 95.25
38.95 91.49
41.12 91.35
43.28 93.44
45.45 92.68
47.61 93.76
49.77 94.03
51.94 92.65
54.1 94.71
56.27 95.76
58.43 93.65
60.59 93.48
62.76 93.5
64.92 95.38
67.09 96.59
69.25 97.91
71.41 96.79
73.58 96.71
75.74 97.12
77.91 95.19
80.07 95.32
82.23 95.58
84.4 95.55
86.56 95.1
88.73 94.4
90.89 94.14
93.05 93.88
95.22 94.9
97.38 95.5
99.55 95.11
101.71 94.86
103.87 95.42
106.04 96.08
108.2 95.82