Abdu (abduqodirov)

Race #2764

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Official speed 76.51 wpm (135.51 seconds elapsed during race)
Without ending ping 76.85 wpm (604 ms delay sending score to TypeRacer’s server)
Timerless 77.05 wpm (342 ms elapsed before first character typed; 134.57 seconds elapsed during race)
Timerless minus one 76.96 wpm, ignoring the first character typed
Race Start October 9, 2024 8:13:25pm UTC
Race Finish October 9, 2024 8:15:40pm UTC
Outcome No win (2 of 3)
Accuracy 96.4%
Points 206.57
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 understansd d how a change in toone quantity is related to a change in another. How does the speed of a falling object change asa a fcuucntionction of time? How does the level woof water in a barrelr change as funa fucntnction aofof the amount o flif f liqueid poured into it? We see change occuringring in nearly everything we obseve irve in the world wand universe, and powerful modern instruments help us esee more and more. In this section we introduce the ideas of average an ind instantenanoeous rates of change, and howshow that tehhey are closely related to the slpope of a curve at a point P on the curve. We give precise developments of these important occonceptsi in the next chapter, but for now we seuse a n informal approcaach so you will see how they lead naturally to hthe main idesaa oa o ff this chapter, the limit .. The idea of a limit plays a foundational orrole 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 342 128 99 122 135 180 117 130 141 26 485 137 97 102 197 84 147 176 58 77 165 45 26 81 95
Character e l p s u s u n d e r s t a n s d - -d -s d
Milliseconds 79 126 180 69 111 88 94 123 160 165 70 165 58 185 662 154 113 119 48 212 249 152 158 76 72
Character h o w a c h a n g e i n t o -o -t o n e q
Milliseconds 111 78 57 74 143 93 109 92 64 96 39 132 46 47 68 124 63 185 293 154 196 85 57 119 100
Character u a n t i t y i s r e l a t e d t o a c
Milliseconds 176 108 106 126 90 110 115 126 82 109 92 292 109 150 141 71 72 194 93 106 48 131 69 133 182
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 95 56 105 28 114 79 39 79 146 88 49 85 77 109 63 56 101 149 261 90 103 97 123 96 94
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 88 110 93 115 45 68 132 124 109 171 204 378 149 73 96 124 96 88 110 84 150 111 66 84 71
Character o b j e c t c h a n g e a s a - -a a f c
Milliseconds 101 83 136 120 192 120 98 140 81 116 68 58 119 65 223 46 210 164 367 141 35 91 118 161 511
Character u -u -c u c n t i o -o -i -t -n -c n c t i o n o f t
Milliseconds 80 267 148 181 175 3 175 34 133 283 120 165 146 161 201 82 158 45 114 74 112 67 68 119 133
Character i m e ? H o w d o e s t h e l e v e l w
Milliseconds 95 53 118 222 115 177 88 140 86 135 83 106 83 116 99 91 85 54 90 116 144 125 112 19 124
Character o -o -w o f w a t e r i n a b a r r e l r -r
Milliseconds 132 227 144 181 31 114 44 199 72 148 55 79 102 88 99 60 121 152 124 72 179 77 136 220 422
Character c h a n g e a s f u n -n -u -f a f u c n t -t
Milliseconds 66 216 133 99 101 51 117 87 152 63 154 664 135 160 315 168 143 354 164 168 123 150 121 151 229
Character -n -c n c t i o n a o f -f -o -a o f t h e a m o
Milliseconds 153 157 200 47 177 43 129 64 202 559 27 181 275 164 148 182 16 142 77 98 92 110 148 80 38
Character u n t o f l i -i -l -f f - -f - f l i q u e -e
Milliseconds 164 167 52 79 97 179 72 116 106 242 151 159 123 171 130 149 220 123 86 200 149 152 158 117 524
Character i d p o u r e d i n t o i t ? W e s e e
Milliseconds 352 140 167 114 261 151 111 296 168 111 114 104 104 151 45 254 96 363 190 244 125 139 116 105 171
Character c h a n g e o c c u r i n g -g -n -i r i n g i
Milliseconds 118 95 100 74 98 28 149 22 124 132 168 111 108 113 119 106 310 172 134 136 100 99 69 119 120
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 113 239 232 92 160 90 122 147 94 75 208 132 132 44 196 48 70 125 64 393 106 85 148 305 132
Character s e v e i -i - -e -v r v e i n t h e w o r l
Milliseconds 145 107 216 131 106 111 263 169 159 159 38 196 120 87 95 115 118 52 100 48 102 77 67 120 71
Character d w -w a n d u n i v e r s e , a n d p o w
Milliseconds 109 103 240 311 98 112 88 97 103 170 65 35 165 52 107 112 177 214 142 110 68 99 138 153 126
Character e r f u l m o d e r n i n s t r u m e n t s
Milliseconds 57 111 259 90 113 119 119 93 145 168 77 93 131 584 109 73 137 240 127 182 76 120 39 132 110
Character h e l p u s e -e s e e m o r e a n d m o
Milliseconds 86 138 62 168 132 144 73 115 324 283 69 58 190 148 140 47 117 51 128 98 92 77 86 64 48
Character r e . I n t h i s s e c t i o n w e i n
Milliseconds 125 43 180 212 188 312 340 59 79 62 102 410 453 452 217 202 69 107 61 87 116 132 152 149 99
Character t r o d u c e t h e i d e a s o f a v e r
Milliseconds 145 165 67 143 151 74 168 67 188 94 109 91 130 144 168 163 121 101 200 115 135 245 107 169 41
Character a g e a n i n -n -i - d i n s t a n t e n -n -e
Milliseconds 167 85 174 65 261 139 180 136 100 363 119 142 67 92 81 98 128 110 117 76 656 166 222 238 137
Character a n o -o e o u s r a t e s o f c h a n g e ,
Milliseconds 39 133 65 502 94 107 94 66 124 180 161 69 106 136 100 99 68 85 144 48 116 67 20 148 46
Character a n d h o w -w -o -h s h o w t h a t t e h -h
Milliseconds 111 116 114 27 103 125 76 82 244 163 152 88 123 70 36 110 203 48 144 224 352 63 209 105 322
Character -e h e y a r e c l o s e l y r e l a t e d
Milliseconds 152 191 67 168 117 107 82 49 127 173 97 159 44 373 144 167 123 265 90 222 181 67 68 199 105
Character t o t h e s l p -p o p e o f a c u r v e
Milliseconds 88 51 144 51 98 84 61 120 69 170 551 278 202 114 131 112 83 107 94 116 221 114 96 174 142
Character a t a p o i n t P o n t h e c u r v
Milliseconds 101 337 120 143 67 133 195 146 111 241 79 77 200 160 131 111 126 54 85 71 90 147 51 127 182
Character e . W e g i v e p r e c i s e d e v e l o
Milliseconds 134 86 142 166 137 145 143 191 47 110 84 155 100 240 197 140 115 104 188 216 264 163 125 84 148
Character p m e n t s o f t h e s e i m p o r t a n t
Milliseconds 204 104 112 176 80 124 149 84 113 70 151 64 88 185 63 157 128 43 121 240 216 184 132 106 103
Character o c -c -o c o n c e p t s i -i i n t h e n e
Milliseconds 102 266 123 140 155 113 81 71 59 200 71 92 111 159 411 85 120 109 126 64 120 61 168 84 81
Character x t c h a p t e r , b u t f o r n o w w
Milliseconds 195 140 94 146 121 86 98 71 124 84 71 166 159 66 127 87 197 86 114 65 163 95 88 112 180
Character e s e -e -s u s e a - n i n f o r m a l a
Milliseconds 164 198 306 96 262 145 205 84 53 152 133 123 561 174 72 129 80 55 180 113 140 109 178 164 115
Character p p r o c a -a -c a c h s o y o u w i l l s
Milliseconds 133 141 90 95 142 165 287 139 55 131 110 117 50 58 132 112 94 78 92 51 93 151 137 44 68
Character e e h o w t h e y l e a d n a t u r a l l
Milliseconds 132 164 112 238 70 115 83 117 106 96 86 95 88 183 159 76 124 124 144 73 431 128 116 125 132
Character y t o h -h t h e m a i n i d e s a -a a o
Milliseconds 150 85 173 63 116 140 395 89 112 84 97 19 184 80 98 146 159 97 156 120 98 462 82 77 79
Character -o - -a -s a o f -f - f t h i s c h a p t e r
Milliseconds 325 165 173 150 169 99 118 164 96 343 143 83 142 90 54 56 87 77 169 94 120 65 113 107 100
Character , t h e l i m i t . -. - . T h e i d e a
Milliseconds 77 146 122 54 117 77 88 64 139 120 125 139 35 488 156 194 76 150 119 86 100 130 102 165 116
Character o f a l i m i t p l a y s a f o u n d
Milliseconds 91 100 96 91 85 107 137 100 109 107 80 79 98 148 93 107 114 94 119 109 87 114 162 176 55
Character a t i o n a l o r -r -o r o l e t h r o u g h o
Milliseconds 268 133 90 95 53 173 112 117 168 76 279 128 70 129 158 67 281 500 152 51 153 138 8 195 133
Character u t c a l c u l u s .
Milliseconds 124 102 89 203 124 114 105 129 145 163 144 110
WPM Timing
Seconds WPM
2.71 75.27
5.42 86.34
8.13 81.17
10.84 81.91
13.55 87.67
16.26 92.24
18.97 92.98
21.68 88.55
24.39 82.16
27.1 85.01
29.81 85.74
32.52 83.76
35.23 78.68
37.94 75.9
40.65 74.68
43.36 72.78
46.07 72.67
48.78 73.06
51.49 73.87
54.2 73.06
56.91 73.16
59.63 74.47
62.34 74.5
65.05 75.09
67.76 75.62
70.47 75.27
73.18 75.93
75.89 75.43
78.6 74.05
81.31 75.12
84.02 74.27
86.73 74.44
89.44 74.47
92.15 74.88
94.86 75.52
97.57 75.64
100.28 76.23
102.99 75.85
105.7 76.52
108.41 76.16
111.12 76.13
113.83 76.54
116.54 76.81
119.25 76.98
121.96 75.86
124.67 76.43
127.38 76.31
130.09 76.84
132.8 76.54
135.51 76.51