Kawsar (kawasar5685)

Race #1322

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Official speed 79.99 wpm (129.62 seconds elapsed during race)
Without ending ping 80.25 wpm (412 ms delay sending score to TypeRacer’s server)
Timerless 80.61 wpm (592 ms elapsed before first character typed; 128.61 seconds elapsed during race)
Timerless minus one 80.52 wpm, ignoring the first character typed
Race Start December 3, 2023 4:49:33pm UTC
Race Finish December 3, 2023 4:51:42pm UTC
Outcome No win (5 of 5)
Opponents 1. christo_ (97.87 wpm)
2. tids (97.63 wpm)
4. whythisname (84.81 wpm)
Accuracy 97.1%
Points 215.98
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 Calcusulus is a tool that helps ousus understand how a change in one quantity is related too c a change in another. Howw How does the speed of a falling object change as a function of time? How does the level of wtater in a barrrel el change as a function of the amount lf of liquid poweruured into it? We casee change occuring ioccuring ioccuriring in nearly everythin g we observe in the world and aununiverse, and powerful modern instruments help us see more and more. In this section we intruoducde the introuduce the ideas of average and instanntaneous rates of chagnnge, and shwo thshow thata ththat they are closely related to the slope of a curve a t a point P on the curve. We givre prgive precise developemenments of thse ese important concept s in the next chapter, but for now uwewe suuse an inforammal approach so you will see how they lead naturally to the main idea of thi s chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character C a l c u s -s -u u l u s i s a t o o l t h
Milliseconds 592 114 103 109 127 144 1834 175 3540 167 106 121 59 59 99 56 136 61 150 89 127 158 89 92 79
Character a t h e l p s o u s -s -o -u u s u n d e r s t
Milliseconds 85 94 38 109 43 131 483 92 58 126 63 89 289 170 0 231 100 77 233 151 53 179 144 171 915
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 90 63 91 82 175 53 77 40 135 68 151 99 153 104 85 77 74 45 127 98 65 86 93 47 229
Character u a n t i t y i s r e l a t e d t o o c -c
Milliseconds 62 145 105 135 67 127 83 99 103 110 42 141 29 151 111 98 50 178 57 214 0 105 94 171 306
Character - -o a c h a n g e i n a n o t h e r . H
Milliseconds 116 347 174 114 93 128 138 91 113 65 70 44 59 105 98 54 64 83 85 73 72 55 75 83 333
Character o w w -H -o -w -w - H o w d o e s t h e s p e
Milliseconds 121 41 24 152 399 0 0 0 0 564 123 100 99 141 86 89 51 62 118 83 31 52 101 145 398
Character e d o f a f a l l i n g o b j e c t c h
Milliseconds 106 191 38 84 92 94 37 126 404 97 86 149 87 162 36 69 68 114 48 119 483 189 87 160 92
Character a n g e a s a f u n c t i o n o f t i m
Milliseconds 84 111 56 49 110 77 413 110 156 131 115 149 154 36 181 0 70 150 397 110 143 46 191 86 127
Character e ? H o w d o e s t h e l e v e l o f
Milliseconds 43 360 76 317 160 24 131 115 440 0 0 0 0 59 0 51 339 45 140 146 56 72 102 89 41
Character w t -t a t e r i n a b a r r r e l - -l -e -r
Milliseconds 246 312 349 34 117 92 86 62 86 144 85 63 119 110 159 117 78 107 128 75 94 270 109 109 114
Character e l c h a n g e a s a f u n c t i o n o
Milliseconds 109 105 53 88 151 35 160 83 53 120 208 115 87 87 95 47 149 160 108 212 49 43 147 120 40
Character f t h e a m o u n t l f -l -f - o f l i q
Milliseconds 109 28 204 78 62 46 161 67 149 68 160 63 101 132 51 44 445 0 0 182 106 44 105 69 74
Character u i d p o w e r -r -e u -u -w u r e d i n t o i
Milliseconds 129 87 155 55 223 85 55 68 49 310 110 308 251 97 166 72 82 196 49 207 122 103 31 65 71
Character t ? W e c a -a -c s e e c h a n g e o c c u
Milliseconds 114 206 85 223 226 74 132 114 326 102 88 197 93 101 110 98 124 75 51 76 45 190 118 502 94
Character r i n g i -i -o -c -c -u -r -i -n -g - o c c u r i n g
Milliseconds 166 42 133 73 85 53 334 82 0 0 0 0 0 0 0 0 209 104 144 101 145 56 137 57 55
Character i -i -o -c -c -u -r -i -n -g - o c c u r i -i r i n g i n
Milliseconds 62 341 85 0 0 0 0 0 0 0 0 236 138 127 165 171 202 387 63 90 123 85 53 87 104
Character n e a r l y e v e r y t h i n - g w e o
Milliseconds 82 171 90 98 74 44 156 72 56 171 194 47 79 140 53 64 132 97 398 62 90 79 57 109 296
Character b s e r v e i n t h e w o r l d a n d a
Milliseconds 94 295 41 58 218 141 83 65 98 180 0 131 76 81 107 104 51 107 79 47 136 68 60 56 248
Character u n -a -u -n u n i v e r s e , a n d p o w e r f
Milliseconds 42 164 310 0 0 176 311 130 86 195 69 106 88 0 103 87 82 43 47 194 51 123 37 24 169
Character u l m o d e r n i n s t r u m e n t s h e l
Milliseconds 61 457 91 234 91 57 163 50 48 80 78 112 91 110 185 115 181 91 94 29 127 95 149 82 145
Character p u s s e e m o r e a n d m o r e . I
Milliseconds 355 106 67 147 41 300 223 120 79 112 73 40 45 60 126 64 58 26 135 86 41 60 94 66 425
Character n t h i s s e c t i o n w e i n t r u -u o
Milliseconds 231 124 115 68 54 33 49 128 90 167 161 72 40 127 104 54 63 88 144 109 93 128 64 560 149
Character d u c d e t h e -t -h -e - -i -n -t -r -o -d -u -c -d -e -
Milliseconds 84 124 80 174 29 44 89 86 29 59 289 0 0 0 106 0 0 0 0 0 0 0 0 0 0
Character i n t r o u -u d u c e t h e i d e a s o f
Milliseconds 235 122 112 138 67 316 300 54 100 84 161 72 88 93 33 68 115 51 180 95 472 128 113 116 57
Character a v e r a g e a n d i n s t a n n -n t a n e o
Milliseconds 235 176 172 68 133 73 79 42 106 91 30 66 207 122 69 80 170 162 73 611 53 143 157 113 129
Character u s r a t e s o f c h a g n -n -g n g e , a
Milliseconds 78 117 42 185 106 105 37 93 39 96 70 74 111 76 117 131 14 455 108 214 121 124 88 88 111
Character n d s h w o t h -t -h -s -h -w -o - s h o w t h a
Milliseconds 59 84 34 270 86 67 0 112 55 116 298 0 107 0 0 0 0 152 105 34 71 74 113 91 64
Character t a t h -t -h -t -h -a -t -a - t h a t t h e y a r
Milliseconds 57 41 38 167 122 301 0 122 0 0 0 0 0 157 130 96 95 58 118 75 85 97 65 289 84
Character e c l o s e l y r e l a t e d t o t h e
Milliseconds 54 79 120 75 135 51 51 88 138 74 68 55 124 124 65 47 174 77 132 43 57 103 42 41 54
Character s l o p e o f a c u r v e a - t a p
Milliseconds 137 82 165 138 71 32 116 54 77 88 83 156 96 78 180 101 117 112 154 343 90 54 156 85 151
Character o i n t P o n t h e c u r v e . W e g
Milliseconds 47 144 204 93 80 192 177 118 133 61 164 67 44 65 137 86 125 305 174 58 81 220 121 145 119
Character i v r e p r -p -r -g -i -v -r -e - g i v e p r e c i
Milliseconds 107 85 134 41 0 172 74 380 0 107 0 0 0 0 0 454 99 103 157 74 284 101 81 221 121
Character s e d e v e l o p e m e n -n -e -m -e m e n t s o
Milliseconds 159 46 65 211 169 197 181 116 154 142 177 146 84 141 288 100 118 129 187 71 440 108 151 83 60
Character f t h s e - -e -s e s e i m p o r t a n t c
Milliseconds 106 70 146 58 125 53 132 409 97 127 138 115 49 109 58 126 201 0 65 167 119 116 53 102 186
Character o n c e p t - s i n t h e n e x t c h a
Milliseconds 91 98 83 160 96 114 102 445 55 99 106 118 115 79 79 89 48 122 83 211 143 83 119 125 310
Character p t e r , b u t f o r n o w u w e -e -w -u w
Milliseconds 114 119 123 79 27 58 261 51 148 45 171 77 84 44 124 55 32 53 175 243 47 199 120 97 86
Character e s u -u -s u s e a n i n f o r a m -m -a m a l
Milliseconds 43 82 199 59 347 94 254 79 32 89 98 87 96 77 95 111 97 103 415 110 414 77 235 151 108
Character a p p r o a c h s o y o u w i l l s e e
Milliseconds 77 172 70 127 126 72 188 177 96 57 142 52 56 134 110 59 68 79 119 141 106 82 128 171 139
Character h o w t h e y l e a d n a t u r a l l y
Milliseconds 36 197 60 39 86 136 40 92 80 104 87 53 96 79 76 145 79 91 97 105 87 173 415 240 587
Character t o t h e m a i n i d e a o f t h i -
Milliseconds 124 63 51 154 92 82 61 133 107 61 77 107 91 70 114 115 26 94 70 61 150 40 47 84 490
Character s c h a p t e r , t h e l i m i t . T h e
Milliseconds 38 89 107 121 65 136 75 125 88 42 81 142 69 64 52 102 41 177 109 298 132 57 192 135 39
Character i d e a o f a l i m i t p l a y s a
Milliseconds 91 210 47 130 46 57 81 78 67 97 78 146 57 142 114 32 81 95 130 60 96 117 45 85 109
Character f o u n d a t i o n a l r o l e t h r o u g h
Milliseconds 98 433 25 173 24 93 104 34 42 108 77 110 80 301 50 148 66 49 198 55 133 71 37 104 86
Character o u t c a l c u l u s .
Milliseconds 105 65 76 55 177 323 96 103 130 257 134 116 66
WPM Timing
Seconds WPM
2.59 18.52
5.18 9.26
7.78 23.15
10.37 34.72
12.96 40.74
15.55 54.01
18.15 56.87
20.74 62.49
23.33 63.26
25.92 66.66
28.52 68.59
31.11 69.82
33.7 71.57
36.29 71.75
38.88 74.37
41.48 75.22
44.07 73.79
46.66 73.81
49.25 71.14
51.85 68.97
54.44 70.76
57.03 72.17
59.62 72.45
62.22 74.06
64.81 74.62
67.4 76.56
69.99 75.26
72.59 74.4
75.18 75.18
77.77 75.3
80.36 75.86
82.95 74.35
85.55 75.61
88.14 77.2
90.73 77.24
93.32 76.89
95.92 76.57
98.51 75.53
101.1 75.37
103.69 75.8
106.29 76.44
108.88 75.94
111.47 75.79
114.06 76.48
116.65 77.25
119.25 77.79
121.84 78.3
124.43 79.18
127.02 79.83
129.62 79.99