Osama (osama_alkhodairy)

Race #5642

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Official speed 83.21 wpm (124.60 seconds elapsed during race)
Without ending ping 83.28 wpm (105 ms delay sending score to TypeRacer’s server)
Timerless 83.47 wpm (285 ms elapsed before first character typed; 124.21 seconds elapsed during race)
Timerless minus one 83.37 wpm, ignoring the first character typed
Race Start March 12, 2024 8:55:22pm UTC
Race Finish March 12, 2024 8:57:27pm UTC
Outcome No win (3 of 3)
Opponents 1. ilkerb (129.57 wpm)
2. exalted777 (111.16 wpm)
Accuracy 95.7%
Points 224.66
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 understnad aand how a change in onre quantutyity is rlatelated to c aha chanvegge in another. How does the speed of a falling object change a ss afun funtction of time? How does the level of water in a barrel change as a function of the amount of liquid opoured into it? We see change occuring irin in g in nearly everything we observe in teh wthe world and unoiverse, and powerfu l moderni instruments help us see more an d more. In this section we introduce the ideas of average and instanteanrieous rates of vchange, and how tashow taht tthat whtehhey arree closely related to the slope of a curve at a pioint P on the curve. We give precise development s of these improtortant comcepncepts in the next hchapter, but for now we use nan informal apperoaeoaraochoach so you will see how they lead natueallrally to the main idea of this cahahphapeteter, the limit.T The idea of a limit play s a foundational role 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 285 125 187 396 124 193 156 86 81 110 64 93 86 22 205 64 111 163 126 136 96 67 73 30 126
Character e l p s u s u n d e r s t n a d - -d -a a -a -n
Milliseconds 69 119 48 93 92 98 64 102 113 80 21 74 110 115 84 134 3 86 110 240 113 122 97 238 114
Character a n d h o w a c h a n g e i n o n r -r e
Milliseconds 92 71 83 64 139 62 71 140 91 97 521 89 61 85 87 48 47 144 59 148 160 62 150 484 77
Character q u a n t u t y -y -t -u i t y i s r l a t -t -a
Milliseconds 100 65 239 88 74 145 83 90 80 307 117 114 487 82 124 144 112 78 48 112 161 76 117 197 241
Character -l e l a t e d t o c a h -h -a - -c a c h a n
Milliseconds 149 84 181 50 179 53 195 69 105 87 169 91 48 97 88 332 114 127 120 115 66 147 60 82 85
Character v e -e g -g -v g e i n a n o t h e r . H o w
Milliseconds 149 62 535 141 170 111 78 38 80 101 62 134 77 64 60 77 115 84 38 138 146 171 93 87 68
Character d o e s t h e s p e e d o f a f a l l i
Milliseconds 100 88 111 57 90 95 57 32 102 118 76 107 147 96 31 151 63 106 56 77 118 412 98 139 232
Character n g o b j e c t c h a n g e a s -s - s a
Milliseconds 94 45 117 107 94 105 88 72 224 71 269 57 101 74 81 70 66 167 87 88 401 108 184 32 153
Character f u n -n -u -f f u n t -t c t i o n o f t i m e
Milliseconds 208 91 57 368 114 118 169 64 90 78 52 328 62 156 87 173 53 137 110 106 54 119 28 94 65
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 214 146 183 97 82 83 87 67 127 52 38 155 45 57 102 157 79 154 73 71 166 110 71 106 71
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 78 170 82 129 15 120 59 156 75 52 154 123 183 177 41 97 144 74 75 24 112 89 68 87 148
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 58 111 98 60 145 87 75 61 147 42 127 58 156 102 63 102 94 57 37 98 166 68 86 61 75
Character t o f l i q u i d o -o p o u r e d i n t o
Milliseconds 124 124 156 81 49 140 141 43 137 131 112 128 333 348 184 179 186 83 69 169 111 117 71 37 92
Character i t ? W e s e e c h a n g e o c c u r i
Milliseconds 124 109 53 161 169 169 141 64 96 172 139 52 134 50 58 80 73 60 43 156 97 92 87 92 106
Character n g i -i - -g -n -i r i n i n - -n -i - g i n
Milliseconds 66 68 93 138 194 125 108 121 131 208 125 41 155 132 46 160 218 119 130 103 91 92 120 55 134
Character n e a r l y e v e r y t h i n g w e o b s e
Milliseconds 194 116 113 119 158 107 88 175 175 29 82 93 133 68 139 47 53 122 16 64 80 224 152 94 123
Character r v e i n t e h w -w -t -e -h - t h e w o r l
Milliseconds 58 210 38 86 101 60 150 35 83 12 122 63 349 242 0 0 0 122 109 3 130 74 101 55 84
Character d a n d u n o -o i v e r s e , a n d p o w
Milliseconds 115 80 79 85 94 35 95 73 146 364 173 60 57 103 168 151 65 72 72 105 57 81 147 115 46
Character e r f u - l m o d e r n i -i i n s t r u m e
Milliseconds 36 178 182 74 684 524 215 189 116 50 40 56 171 129 253 339 160 96 52 25 174 90 182 196 87
Character n t s h e l p u s s e e m o r e a n -
Milliseconds 51 109 61 59 119 111 96 55 181 96 67 103 358 182 113 111 148 51 63 44 84 110 67 178 370
Character d m o r e . I n t h i s s e c t i o n w
Milliseconds 100 93 115 34 57 51 107 117 203 116 148 90 53 132 90 103 100 172 145 148 40 137 35 174 51
Character e i n t r o d u c e t h e i d e a s o f
Milliseconds 69 62 197 57 38 69 100 137 87 121 233 131 71 65 31 98 150 27 217 49 245 214 137 99 86
Character a v e r a g e a n d i n s t a n t e -e a n r i
Milliseconds 91 256 126 382 82 132 50 86 128 68 74 78 106 71 25 136 69 95 209 313 377 64 89 582 169
Character -i -r e o u s r a t e s o f v -v c h a n g e ,
Milliseconds 364 474 212 221 53 134 204 123 99 126 85 202 104 152 53 93 141 373 107 110 51 93 75 67 149
Character a n d h o w t a -h -o -w - -t -a s h o w t a h
Milliseconds 90 108 88 80 74 147 75 48 151 65 133 256 0 0 0 0 0 146 313 18 70 147 36 93 6
Character t t -t -a -h -t - -t t h a t w h -h -w t e h -h -e h e
Milliseconds 108 73 110 369 0 0 0 0 0 154 114 37 70 80 106 64 532 118 185 271 18 491 116 200 74
Character y a r r e -e -r e c l o s e l y r e l a t e d
Milliseconds 58 145 84 107 243 52 367 118 82 99 94 78 107 61 176 118 96 144 144 48 237 59 118 63 166
Character t o t h e s l o p e o f a c u r v e
Milliseconds 90 132 103 339 64 112 29 123 184 71 103 138 187 129 171 84 96 107 31 421 101 103 204 37 87
Character a t a p i -i o i n t P o n t h e c u r
Milliseconds 107 101 56 116 31 192 270 268 157 147 60 46 105 194 159 96 68 141 59 65 11 101 90 84 86
Character v e . W e g i v e p r e c i s e d e v e l
Milliseconds 191 56 55 136 135 143 84 164 42 248 84 161 155 72 64 193 102 77 176 58 121 63 180 44 68
Character o p m e n t - s o f t h e s e i m p r o t
Milliseconds 133 237 291 94 74 70 117 439 94 96 87 83 72 103 61 24 197 115 81 120 74 127 142 18 242
Character -t -o -r o r t a n t c o m c e p -p -e -c -m n c e p t
Milliseconds 258 114 126 151 84 177 81 44 88 112 144 55 50 180 50 97 269 127 120 121 154 61 42 82 158
Character s i n t h e n e x t h -h c h a p t e r ,
Milliseconds 83 152 99 61 141 74 56 20 118 89 82 147 202 74 244 271 101 112 33 155 63 66 155 22 63
Character b u t f o r n o w w e u s e n -n a n i
Milliseconds 164 36 99 82 167 111 108 79 147 58 45 130 82 65 80 169 72 174 82 188 530 100 67 142 106
Character n f o r m a l a p p e r o a -a -o -r -e e o a -a -o -e
Milliseconds 70 64 96 64 99 78 108 128 37 148 102 112 0 105 107 228 120 126 127 46 145 116 253 135 102
Character r a o c h -h -c -o -a o a c h s o y o u w i l l
Milliseconds 81 84 52 177 121 220 127 108 126 173 59 122 76 130 77 69 119 129 127 63 142 76 42 138 109
Character s e e h o w t h e y l e a d n a t u e a
Milliseconds 103 87 175 102 123 165 64 64 118 69 71 53 86 136 117 164 203 154 67 154 46 150 71 142 43
Character l l -l -l -a -e r a l l y t o t h e m a i n i
Milliseconds 85 134 250 120 119 122 44 43 115 142 54 98 120 73 136 76 60 28 101 135 71 84 51 174 98
Character d e a o f t h i s c a h -h -a a h p -p -h -a h a
Milliseconds 64 176 51 113 122 86 71 113 18 138 52 104 68 79 0 512 104 140 76 183 193 128 110 154 68
Character p e t e -e -t -e t e r , t h e l i m i t . T -T
Milliseconds 87 143 103 198 181 127 110 111 82 115 71 80 81 78 3 105 156 420 110 75 97 140 318 313 186
Character T h e i d e a o f a l i m i t p l a y
Milliseconds 246 164 59 86 128 30 171 51 64 129 84 93 54 64 145 131 107 78 81 88 116 124 101 126 143
Character - s a f o u n d a t i o n a l r o l e t h
Milliseconds 398 79 90 74 49 165 98 55 51 85 63 197 57 106 62 77 115 114 115 57 130 95 61 128 76
Character r o u g h o u t c a l c u l u s .
Milliseconds 117 13 52 118 40 190 51 49 134 104 69 34 130 61 151 121 59 102
WPM Timing
Seconds WPM
2.49 81.86
4.98 96.31
7.48 86.68
9.97 83.07
12.46 74.16
14.95 71.43
17.44 72.92
19.94 79.45
22.43 80.79
24.92 76.08
27.41 77.92
29.9 82.26
32.4 84.83
34.89 88.05
37.38 86.68
39.87 88.78
42.36 84.98
44.86 85.34
47.35 85.41
49.84 85.95
52.33 85.3
54.82 84.71
57.32 85.63
59.81 86.08
62.3 87.25
64.79 87.23
67.28 86.14
69.78 84.96
72.27 84.52
74.76 83.31
77.25 81.71
79.74 81.71
82.24 82.01
84.73 82
87.22 82.82
89.71 83.2
92.2 82.77
94.7 82.24
97.19 82.73
99.68 83.31
102.17 83.04
104.66 81.4
107.16 82.31
109.65 81.97
112.14 82.93
114.63 81.86
117.12 81.66
119.62 81.96
122.11 82.25
124.6 83.21