Totti1337 (totti1337)

Race #11

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Official speed 77.31 wpm (134.11 seconds elapsed during race)
Without ending ping 78.17 wpm (1,473 ms delay sending score to TypeRacer’s server)
Timerless 78.38 wpm (350 ms elapsed before first character typed; 132.29 seconds elapsed during race)
Timerless minus one 78.28 wpm, ignoring the first character typed
Race Start November 30, 2023 3:40:17pm UTC
Race Finish November 30, 2023 3:42:31pm UTC
Outcome No win (3 of 3)
Opponents 2. zasekle (80.51 wpm)
Accuracy 96.0%
Points 208.75
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 at tool that hehelps us understaandnd how a changei n o in one quantity is a rrelated otto a cahnhange in another. How does the speed o ff a falling object change as a funtiocittion of time? How does the level of water in a abarrrel changel change as a function of the amount of liquid pioured into it? We see change pococcuring iring in nearly. everything we boobobserve in the world and universe, and pwoweowerful modenrn instruments help us see more and more. In this section we ciintroduce the ideas of averearage and instant aneous arates of hcchange, and show that they ware lclosely relatied to the slope of a curve at a tpioint P on the curve. We give precise developments of these important concepts in the nexthcat chapter, but for now we us aee an informatll approach so you will see how they lead naturarlaally to the main idea o ff this chapter, the limit. The idea of a limit plays a foundational lrole thorrroughout calculus.
Timing
Character C a l c u l u s i s a t - -t t o o l t h
Milliseconds 350 243 91 256 162 276 171 113 62 81 144 80 79 101 59 273 175 292 189 95 160 177 32 80 116
Character a t h -h e -e h e l p s u s u n d e r s t a a
Milliseconds 42 97 67 190 274 127 286 210 81 142 194 94 66 62 117 59 256 159 32 129 112 48 112 81 244
Character n d -d -n -a n d h o w a c h a n g e i n o
Milliseconds 156 110 224 128 112 177 64 65 95 159 33 97 82 77 112 64 33 175 48 143 65 0 160 65 126
Character -o - -n - -i i n o n e q u a n t i t y i s
Milliseconds 193 144 112 130 108 163 95 176 96 175 176 64 65 128 82 141 336 113 111 239 114 191 195 114 59
Character a r -r - -a r e l a t e d o t -t -o t o a c a
Milliseconds 128 129 95 208 145 131 236 177 64 95 95 166 123 66 94 81 208 127 48 66 93 105 73 224 128
Character h n -n -h -a h a n g e i n a n o t h e r . H o
Milliseconds 0 256 209 126 129 160 64 99 60 144 32 48 195 108 82 80 192 80 95 81 131 109 79 176 161
Character w d o e s t h e s p e e d o f -f - f a
Milliseconds 61 83 96 84 95 110 270 48 113 112 84 92 112 82 141 129 95 98 111 47 288 144 66 63 113
Character f a l l i n g o b j e c t c h a n g e a s
Milliseconds 110 307 79 112 95 159 130 63 51 143 125 112 133 158 193 45 128 112 19 141 432 178 94 96 112
Character a f u n t i o -o -i -t c i t -t -i t i o n o f
Milliseconds 64 127 129 97 79 160 64 162 146 267 128 160 64 114 94 529 159 98 111 159 161 66 142 48 64
Character t i m e ? H o w d o e s t h e l e v e l
Milliseconds 95 81 226 158 160 127 353 191 32 401 63 128 64 144 52 92 64 113 35 120 52 160 160 80 80
Character o f w a t e r i n a a -a b a r r r e l c
Milliseconds 112 130 110 97 79 113 159 129 63 225 160 66 62 116 44 224 260 158 110 80 146 141 81 80 127
Character h a n g -g -n -a -h -c - -l -e -r e l c h a n g e a s
Milliseconds 80 48 129 63 227 125 113 99 127 160 190 175 194 222 161 145 110 97 63 129 32 146 45 81 129
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 159 48 144 95 64 161 96 176 48 144 143 17 242 62 97 79 80 129 47 97 46 193 126 146 66
Character o f l i q u i d p i -i o u r e d i n t o
Milliseconds 45 98 78 81 80 191 194 158 208 193 79 176 177 543 304 211 94 143 128 65 49 162 45 161 63
Character i t ? W e s e e c h a n g e p o c -c -o -p o
Milliseconds 98 78 159 99 269 161 79 96 128 161 159 65 79 64 115 45 144 51 78 0 239 225 129 126 177
Character c c u r i n g i -i - -g -n -i r i n g i n n e a
Milliseconds 111 176 111 192 129 160 64 69 75 192 145 94 114 111 80 80 161 32 95 64 144 64 127 291 80
Character r l y . - -. e v e r y t h i n g w e b o -o
Milliseconds 94 80 224 256 97 275 125 128 126 193 161 113 109 81 95 162 143 31 51 126 97 81 238 80 128
Character o b -b -o -b o b s e r v e i n t h e w o r l d
Milliseconds 192 84 124 128 144 98 78 242 112 158 208 144 84 45 159 80 67 61 111 48 96 81 111 116 92
Character a n d u n i v e r s e , a n d p w o -o -w w
Milliseconds 96 99 94 81 63 99 189 160 48 160 127 113 161 142 291 158 96 111 162 82 141 50 192 144 126
Character e -e -w o w e r f u l m o d e n -n r n i n s t r
Milliseconds 305 271 131 93 129 144 146 162 60 191 51 140 161 64 131 158 367 49 128 95 97 144 158 116 125
Character u m e n t s h e l p u s s e e m o r e a
Milliseconds 52 143 62 96 95 192 129 239 96 115 161 93 111 128 80 127 145 144 64 32 144 80 144 112 112
Character n d m o r e . I n t h i s s e c t i o n
Milliseconds 114 95 47 80 144 36 140 132 125 127 159 33 89 55 193 50 61 97 96 159 144 47 129 160 32
Character w e c i -i -c i n t r o d u c e t h e i d e a
Milliseconds 193 96 127 114 110 191 145 176 144 64 160 67 364 81 127 161 175 161 97 78 64 81 96 160 64
Character s o f a v e r e a -a -e r -r a g e a n d i n
Milliseconds 143 113 144 98 29 145 144 144 130 0 45 273 113 159 271 33 112 177 63 112 64 113 65 47 208
Character s t a n t - a n e o u s a -a r a t e s o f
Milliseconds 159 98 93 97 96 64 369 68 106 113 243 286 95 98 128 221 49 80 129 178 238 127 176 176 32
Character h c -c -h c h a n g e , a n d s h o w t h a t
Milliseconds 272 128 160 112 83 95 81 126 62 147 110 97 112 63 97 49 95 81 160 62 65 191 81 48 99
Character t h e y w -w a r e l -l c l o s e l y r e l
Milliseconds 158 111 113 142 129 95 145 192 65 94 159 65 112 159 114 116 123 96 128 96 207 80 227 146 93
Character a t i -i e d t o t h e s l o p e o f a
Milliseconds 95 113 159 321 95 176 96 113 79 95 100 94 94 48 96 33 159 161 80 47 97 143 69 155 80
Character c u r v e a t a t -t p i -i o i n t P o n
Milliseconds 208 145 95 160 160 81 97 126 80 131 95 111 351 83 351 240 63 176 159 65 64 160 116 189 208
Character t h e c u r v e . W e g i v e p r e c i
Milliseconds 97 31 129 113 48 141 47 145 175 162 80 81 113 192 45 207 97 128 160 79 161 80 128 144 96
Character s e d e v e l o p m e n t s o f t h e s e
Milliseconds 144 192 99 188 178 175 160 80 176 176 176 80 81 82 161 28 95 130 15 111 67 141 161 128 66
Character i m p o r t a n t c o n c e p t s i n t h e
Milliseconds 95 175 161 143 32 144 128 96 95 64 241 112 177 63 160 129 111 162 62 144 160 64 64 112 129
Character n e x t h -h c a -a -c -t t c h a p t e r , b u
Milliseconds 63 64 80 194 158 113 222 64 161 449 127 256 640 97 271 81 62 145 50 142 128 48 96 116 60
Character t f o r n o w w e u s a -a e -e - e a n
Milliseconds 116 92 161 16 415 81 127 175 68 62 127 114 78 116 125 111 112 176 134 125 126 128 82 110 80
Character i n f o r m a t l -l -t l a p p r o a c h s o
Milliseconds 79 145 144 63 113 32 255 65 144 320 176 128 113 78 225 245 142 77 82 126 145 112 79 112 80
Character y o u w i l l s e e h o w t h e y l e
Milliseconds 96 112 207 144 49 64 143 403 125 113 79 210 159 80 80 191 48 65 130 62 113 95 82 286 48
Character a d n a t u r a -a r l a -a -l -r a l l y t o t
Milliseconds 64 128 64 97 62 145 96 81 95 225 478 113 95 337 127 145 96 96 151 168 32 81 255 132 61
Character h e m a i n i d e a o f -f - f t h i s
Milliseconds 83 110 78 32 129 80 128 50 144 61 145 32 115 94 110 34 431 96 144 64 160 82 161 61 51
Character c h a p t e r , t h e l i m i t . T h e i
Milliseconds 156 354 63 160 63 145 143 83 94 210 95 80 63 64 143 145 174 86 125 79 208 113 207 80 128
Character d e a o f a l i m i t p l a y s a f o
Milliseconds 112 272 97 208 174 82 30 193 113 192 159 146 140 66 48 112 128 79 145 96 81 95 127 96 129
Character u n d a t i o n a l l -l r o l e t h o r -r r -r
Milliseconds 175 130 30 99 143 33 157 145 127 97 95 145 226 61 49 159 70 59 351 83 177 28 512 65 175
Character -o r o u g h o u t c a l c u l u s .
Milliseconds 145 64 82 222 464 112 369 174 97 64 240 143 129 191 129 335 179 77 144
WPM Timing
Seconds WPM
2.68 58.16
5.36 58.16
8.05 62.64
10.73 64.87
13.41 68
16.09 66.36
18.78 67.75
21.46 71.58
24.14 73.57
26.82 72.48
29.5 71.58
32.19 73.82
34.87 73.65
37.55 70.31
40.23 73.37
42.92 73.54
45.6 74.22
48.28 73.82
50.96 73.23
53.64 72.93
56.33 72.86
59.01 74.02
61.69 72.94
64.37 73.26
67.05 74.8
69.74 75.54
72.42 75.89
75.1 75.9
77.78 75.75
80.47 75.91
83.15 76.2
85.83 76.34
88.51 77.41
91.19 76.98
93.88 77.59
96.56 78.17
99.24 78.6
101.92 77.94
104.61 77.89
107.29 77.85
109.97 77.69
112.65 78.08
115.33 77.83
118.02 78.29
120.7 78.15
123.38 78.39
126.06 78.91
128.75 78.85
131.43 78.16
134.11 77.31