samy (samy_mohsen)

Race #11498

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Official speed 84.43 wpm (122.80 seconds elapsed during race)
Without ending ping 84.77 wpm (494 ms delay sending score to TypeRacer’s server)
Timerless 84.97 wpm (289 ms elapsed before first character typed; 122.02 seconds elapsed during race)
Timerless minus one 84.87 wpm, ignoring the first character typed
Race Start December 4, 2024 1:47:57pm UTC
Race Finish December 4, 2024 1:50:00pm UTC
Outcome No win (2 of 5)
Opponents 1. str4tos (91.71 wpm)
3. andystarr (70.37 wpm)
4. cadis_ (62.23 wpm)
Accuracy 96.4%
Points 227.96
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 hlelps us understand how a change in one quantity is relate dd to a change in another. HOw ow does th se speed of a falling object change as a function of imttime? How does the level of water ina a barrel change as a function of the amount of liquid poured into it? We see change occuringring in nearly everything we observer in e in the world and universe, and powerful modern instrucmeemments help us esee more an md more. In this section we introduce the idea oss of average and instantaneous sreatates of change, ansd show that they are closely relate dtod to the slpeope of a curve at a pontint P on the curve. WE ge give precise developments of these improtortant concepts in the nex t chaperter, abut for now we use an informal apoproach so you swill see hwoow they lead natruurally to the main idea of this caphpapter, the limit. The idea of a limit plays a foundational role throught cout claalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 289 215 39 163 329 127 289 225 162 135 63 98 191 119 113 79 99 102 259 92 76 75 62 26 113
Character l -l e l p s u s u n d e r s t a n d h o w
Milliseconds 147 336 105 71 112 86 65 139 85 94 298 145 44 167 42 143 84 102 63 112 42 100 77 8 110
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 84 125 97 78 27 145 28 70 100 53 70 76 140 87 61 103 164 104 132 73 608 49 112 66 97
Character i s r e l a t e d -d - d t o a c h a n g
Milliseconds 91 38 97 94 76 92 135 49 80 161 6 391 98 104 89 89 45 86 99 133 72 88 87 107 101
Character e i n a n o t h e r . H O w - -w -O o w d
Milliseconds 44 111 67 88 53 124 64 111 37 95 68 61 48 74 227 90 109 85 286 123 105 193 24 97 94
Character o e s t h s -s - e s p e e d o f a f a
Milliseconds 98 68 45 109 103 71 120 8 467 95 108 90 106 196 92 125 182 94 74 92 118 71 134 124 128
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 33 126 96 94 43 75 131 118 67 103 195 200 183 150 85 91 73 86 50 69 95 121 85 85 131
Character f u n c t i o n o f i m t -t -m -i t i m e ? H
Milliseconds 80 114 170 119 167 68 19 77 135 59 99 76 103 111 19 279 123 132 80 106 69 59 282 125 152
Character o w d o e s t h e l e v e l o f w a t e
Milliseconds 107 94 67 139 60 93 49 82 98 74 72 50 140 33 166 66 120 247 132 89 44 179 122 85 100
Character r i n a - -a a b a r r e l c h a n g e
Milliseconds 65 89 66 83 295 151 351 101 209 125 113 434 120 192 146 160 92 91 132 82 85 100 98 53 99
Character a s a f u n c t i o n o f t h e a m o u
Milliseconds 59 125 69 135 147 406 90 137 68 131 70 19 80 87 95 68 120 219 49 111 51 196 71 125 81
Character n t o f l i q u i d p o u r e d i n t o
Milliseconds 398 102 231 116 64 83 120 167 260 116 340 99 129 157 102 77 79 165 203 134 203 91 293 98 118
Character i t ? W e s e e c h a n g e o c c u r i n
Milliseconds 235 77 178 183 146 136 91 101 149 141 87 121 86 116 69 113 40 78 82 83 156 142 61 109 69
Character g -g -n -i r i n g i n n e a r l y e v e r y t
Milliseconds 83 359 113 109 118 129 87 82 120 180 67 69 185 351 106 73 83 99 101 255 127 112 78 83 98
Character h i n g w e o b s e r v e r i n - -n -i - -r
Milliseconds 106 130 92 0 142 60 102 208 254 102 220 130 57 177 90 59 172 54 77 65 361 113 115 136 136
Character -e e i n t h e w o r l d a n d u n i v e
Milliseconds 150 474 120 87 82 56 121 40 115 28 127 493 104 48 159 94 189 43 96 51 94 168 84 70 131
Character r s e , a n d p o w e r f u l m o d e r n
Milliseconds 70 49 129 23 116 94 50 112 72 120 105 63 59 60 175 42 73 127 150 101 57 188 100 140 105
Character i n s t r u c m e -e -m -c e m -m -e m e n t s h e l
Milliseconds 118 70 50 144 126 151 65 127 115 239 111 113 180 58 364 95 191 32 137 64 85 86 158 104 34
Character p u s e -e s e e m o r e a n m -m - d m
Milliseconds 139 136 75 82 120 51 420 792 162 144 49 131 76 23 102 99 115 140 165 71 343 104 104 77 65
Character o r e . I n t h i s s e c t i o n w e i
Milliseconds 66 39 47 131 78 172 108 130 94 49 52 88 36 174 200 179 122 0 27 52 105 32 99 138 99
Character n t r o d u c e t h e i d e a o s -s -o - s
Milliseconds 71 121 167 31 149 114 97 143 90 73 106 25 171 159 92 158 51 183 80 69 299 132 122 62 89
Character o f a v e r a g e a n d i n s t a n t a n e
Milliseconds 112 90 149 94 108 162 56 134 99 59 109 70 110 60 42 98 67 44 153 386 94 149 376 98 535
Character o u s s -s r e a t -t -a -e a t e s o f c h a n
Milliseconds 433 76 86 96 180 342 39 122 24 92 278 155 128 116 77 74 59 128 47 107 105 127 100 30 126
Character g e , a n s -s d s h o w t h a t t h e y
Milliseconds 38 60 118 94 31 78 108 407 110 114 551 76 53 81 92 114 57 82 50 56 110 72 57 113 75
Character a r e c l o s e l y r e l a t e d t o -o -t -d
Milliseconds 71 37 89 66 158 46 156 50 56 101 137 85 111 84 209 88 81 75 140 39 177 23 244 124 137
Character - d t o t h e s l p e -e -p o p e o f a
Milliseconds 113 59 141 86 79 78 62 77 84 55 156 60 169 165 315 102 212 183 137 147 100 75 144 163 200
Character c u r v e a t a p o n t -t -n i n t P o n
Milliseconds 87 116 66 261 147 293 80 122 62 106 116 96 33 140 74 401 100 195 77 49 180 158 246 178 67
Character t h e c u r v e . W E g -g - -E e g i v e
Milliseconds 66 71 78 59 71 142 95 54 165 58 95 52 195 86 147 90 266 119 106 119 165 268 157 36 43
Character p r e c i s e d e v e l o p m e n t s o f
Milliseconds 104 100 493 116 553 167 55 64 104 244 163 135 77 28 180 63 170 81 88 72 97 87 73 107 54
Character t h e s e i m p r o t -t -o -r o r t a n t c o n
Milliseconds 154 35 84 158 60 104 102 93 117 121 12 188 217 128 133 267 52 219 136 101 35 81 207 66 68
Character c e p t s i n t h e n e x - t c h a p e
Milliseconds 151 326 116 82 70 106 105 78 82 45 99 49 90 89 98 205 425 333 63 115 93 92 55 192 127
Character r -r -e t e r , a -a b u t f o r n o w w e
Milliseconds 125 198 117 99 165 33 55 114 90 296 105 125 76 34 153 81 93 10 154 87 65 60 149 98 107
Character u s e a n i n f o r m a l a p o -o p r o a c
Milliseconds 123 24 71 99 125 99 113 59 88 146 594 67 74 142 80 141 212 216 343 345 170 78 277 128 129
Character h s o y o u s -s w i l l s e e h w o -o -w
Milliseconds 49 136 95 60 109 98 70 83 41 73 443 60 138 144 101 110 63 170 159 180 115 29 0 364 115
Character o w t h e y l e a d n a t r u -u -r u r a l l
Milliseconds 288 148 307 99 52 100 77 95 119 43 93 122 85 189 204 182 469 76 378 92 174 69 84 58 141
Character y t o t h e m a i n i d e a o f t h i
Milliseconds 182 109 84 68 74 137 72 101 43 88 86 32 82 90 79 32 173 76 86 107 83 83 116 40 65
Character s c a p -p -a h p -p a p t e r , t h e l i m i
Milliseconds 84 43 163 114 44 355 100 167 174 388 92 89 75 145 56 73 59 93 65 98 52 86 83 92 123
Character t . T h e i d e a o f a l i m i t p l
Milliseconds 398 267 86 114 229 105 122 493 42 174 47 121 119 75 94 108 125 71 82 100 117 136 134 163 158
Character a y s a f o u n d a t i o n a l r o l e t
Milliseconds 17 171 76 105 105 127 144 121 41 188 88 402 133 41 28 76 188 118 158 132 95 157 98 127 77
Character h r o u g h t c -c - -t o u t c l a -a -l a l c u
Milliseconds 60 132 71 78 101 96 76 75 195 215 124 115 186 59 50 80 130 114 56 354 107 348 89 253 81
Character l u s .
Milliseconds 469 120 98 80
WPM Timing
Seconds WPM
2.46 68.4
4.91 80.62
7.37 97.72
9.82 100.16
12.28 100.65
14.74 96.91
17.19 94.93
19.65 97.72
22.1 95.55
24.56 97.23
27.02 93.72
29.47 94.06
31.93 94.34
34.38 93.88
36.84 93.16
39.3 92.22
41.75 92.55
44.21 90.12
46.66 88.98
49.12 91.12
51.58 90.04
54.03 89.06
56.49 87.52
58.94 89.17
61.4 89.32
63.86 89.83
66.31 88.31
68.77 87.77
71.22 87.78
73.68 88.27
76.14 87.32
78.59 87.34
81.05 87.06
83.5 86.51
85.96 85.99
88.42 86.32
90.87 86.36
93.33 85.89
95.78 86.07
98.24 86.12
100.7 85.8
103.15 85.04
105.61 84.77
108.06 85.28
110.52 84.91
112.98 85.19
115.43 85.35
117.89 85.61
120.34 85.36
122.8 84.43