Solana41 (solana4149)

Race #756

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Official speed 83.81 wpm (123.71 seconds elapsed during race)
Without ending ping 83.98 wpm (250 ms delay sending score to TypeRacer’s server)
Timerless 84.18 wpm (295 ms elapsed before first character typed; 123.16 seconds elapsed during race)
Timerless minus one 84.08 wpm, ignoring the first character typed
Race Start October 3, 2023 11:08:51am UTC
Race Finish October 3, 2023 11:10:54am UTC
Outcome No win (3 of 5)
Opponents 2. canvaslol (89.38 wpm)
4. yammagar (80.31 wpm)
Accuracy 95.9%
Points 226.29
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 Cal culculus ifs a took thal that helps us understand howw a change in one qusantity is related to a change in another,. How does the pspedd ed of a lfalling object change as a fucntionction of time? How does the level off water in a barrel change as a function of thee amount of liquied poured iinnto it? We see change occuringrirring in nearly everytrhinhing qwe observe in the world and universe, and powerful modern instruments help us see more and more. In this srecection we introduce ithe ideas of average and instantanerousous rateds of change, wand woshow that they are closely realtelated to the spolopse e of a curve at a point I P on the curve. We give perecise developments of these important concepts tin the next chapter, but for now swewe use oan informal appeoroach so you will see how they lead nnatuaturally to the main idea of this chapter, the limit. The didea of a limit pllaayees s a funoundational role throughout calculus.
Timing
Character C a l c u l -l -u -c - c u l u s i f -f s a t
Milliseconds 295 148 93 137 2 90 195 212 112 122 123 114 72 176 185 146 72 46 141 364 44 99 81 91 237
Character o o k t h a -a -h -t - -k l t h a t h e l p s
Milliseconds 75 110 125 85 74 98 43 254 98 126 129 120 211 47 73 93 43 88 34 162 67 53 42 123 93
Character u s u n d e r s t a n d h o w w -w a c h a
Milliseconds 219 103 121 142 156 53 123 110 227 106 92 36 124 129 100 96 30 301 291 52 83 97 94 96 83
Character n g e i n o n e q u s -s a n t i t y i s
Milliseconds 76 83 54 74 42 100 63 96 95 69 80 113 88 187 331 76 87 119 69 72 271 142 106 64 67
Character r e l a t e d t o a c h a n g e i n a n
Milliseconds 201 54 90 92 68 93 344 81 149 93 28 103 72 306 77 88 72 55 63 43 70 108 60 156 86
Character o t h e r , -, . H o w d o e s t h e p -p s
Milliseconds 53 47 95 59 58 100 247 110 14 313 265 98 262 129 57 88 56 94 84 37 89 79 133 378 85
Character p e d d - -d -d e d o f a l -l f a l l i n g
Milliseconds 105 66 155 190 111 195 113 125 112 159 62 76 70 88 72 80 114 288 79 42 72 101 179 88 83
Character o b j e c t c h a n g e a s a f u c n t
Milliseconds 63 278 135 120 78 130 146 72 136 61 71 84 55 53 76 84 199 111 80 77 166 80 126 116 95
Character i o -o -i -t -n -c n c t i o n o f t i m e ? H o
Milliseconds 97 36 212 91 148 121 126 210 72 134 60 40 147 51 229 120 96 67 53 111 71 166 114 177 487
Character w d o e s t h e l e v e l o f f - -f w
Milliseconds 53 102 114 87 105 50 116 88 87 74 50 95 101 62 67 101 72 91 128 127 337 130 119 120 41
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 166 8 85 97 102 96 134 54 107 101 273 89 118 105 67 102 78 88 53 98 65 79 49 71 101
Character s a f u n c t i o n o f t h e e -e a m o
Milliseconds 208 123 53 114 210 118 161 154 180 28 30 141 73 70 98 62 103 160 89 116 305 68 83 100 29
Character u n t o f l i q u i e -e d p o u r e d i i
Milliseconds 138 166 62 52 84 75 103 220 143 63 366 309 106 252 95 71 290 461 64 53 44 156 78 51 53
Character n -n -i n t o i t ? W e s e e c h a n g e
Milliseconds 156 313 94 219 94 98 108 133 64 187 106 104 253 113 79 70 146 141 175 47 102 60 111 45 97
Character o c c u r i n g -g -n -i -r r i -i -r r r i n g i n
Milliseconds 135 140 128 83 120 51 114 76 277 94 132 271 281 69 257 89 372 117 144 122 64 73 99 102 67
Character n e a r l y e v e r y t r h i n -n -i -h -r h i n g
Milliseconds 152 74 84 20 176 144 140 59 132 54 151 152 224 0 107 57 90 268 98 152 123 313 64 91 73
Character q -q w e o b s e r v e i n t h e w o r l
Milliseconds 107 234 360 67 54 97 390 110 213 96 107 217 39 83 57 114 54 55 73 59 220 55 117 46 110
Character d a n d u n i v e r s e , a n d p o w e r
Milliseconds 76 80 248 110 81 71 55 163 64 20 41 165 109 141 92 94 167 13 177 13 236 93 169 6 126
Character f u l m o d e r n i n s t r u m e n t s h e
Milliseconds 163 25 190 115 136 53 14 128 77 20 189 19 94 68 60 166 66 165 47 114 12 82 108 103 83
Character l p u s s e e m o r e a n d m o r e .
Milliseconds 24 45 123 135 64 128 89 91 172 102 73 62 35 68 57 158 102 139 57 83 54 36 53 610 87
Character I n t h i s s r e c -c -e -r e c t i o n w e
Milliseconds 164 106 74 49 176 58 101 72 90 60 15 203 241 96 100 113 112 168 21 40 172 57 72 96 128
Character i n t r o d u c e i -i t h e i d e a s o f
Milliseconds 164 129 89 158 88 163 192 75 90 111 96 322 87 81 67 51 86 72 139 66 400 77 153 110 158
Character a v e r a g e a n d i n s t a n t a n e r o u
Milliseconds 147 103 67 132 85 118 75 104 108 93 87 40 104 90 141 393 53 64 298 54 263 65 66 138 65
Character s -s -u -o -r o u s r a t e d -d s o f c h a n g
Milliseconds 71 236 105 144 120 947 66 157 91 274 95 145 50 184 446 53 84 127 90 200 197 113 17 177 203
Character e , w -w a n d w o -o -w s h o w t h a t t h
Milliseconds 56 115 71 103 319 104 95 62 84 90 108 377 92 143 60 123 95 93 52 114 45 104 77 157 161
Character e y a r e c l o s e l y r e a l t e -e -t -l -a
Milliseconds 49 76 56 98 94 68 45 159 70 116 36 104 134 78 1023 103 48 74 26 146 64 262 87 140 109
Character l a t e d t o t h e s p o -o -p l o p s e -
Milliseconds 164 55 44 72 170 50 99 48 110 7 121 79 48 169 258 119 261 108 199 528 233 78 51 103 302
Character -e -s e o f a c u r v e a t a p o i n t
Milliseconds 113 114 87 78 97 81 78 63 107 102 130 59 294 53 212 159 220 107 227 64 496 72 221 125 67
Character I - -I P o n t h e c u r v e . W e g
Milliseconds 45 173 63 322 118 234 92 245 125 78 76 75 72 68 123 73 106 174 52 128 62 194 198 122 66
Character i v e p e -e r e c i s e d e v e l o p m e n t
Milliseconds 70 123 37 118 149 90 415 297 52 219 71 128 80 103 213 136 166 109 377 249 138 194 67 92 42
Character s o f t h e s e i m p o r t a n t c o n c
Milliseconds 81 64 88 79 160 73 61 61 134 180 53 52 100 195 53 79 149 86 129 63 89 187 75 147 89
Character e p t s t -t i n t h e n e x t c h a p t e
Milliseconds 50 168 73 80 109 114 315 459 121 52 53 97 51 76 79 62 206 90 112 156 46 101 126 91 74
Character r , b u t f o r n o w s w e -e -w -s w e u
Milliseconds 67 106 74 79 101 64 93 86 114 46 129 105 53 27 93 560 146 71 202 90 126 105 51 104 25
Character s e o -o a n i n f o r m a l a p p e o -o -e r
Milliseconds 335 29 122 286 638 78 94 91 95 116 102 102 35 284 55 93 72 169 197 113 66 243 218 94 115
Character o a c h s o y o u w i l l s e e h o w
Milliseconds 96 35 175 123 34 173 49 77 94 33 51 81 48 64 174 133 85 54 81 131 108 77 97 84 103
Character t h e y l e a d n n a t u -u -t -a -n a t u r a l
Milliseconds 62 174 65 60 71 200 76 58 132 100 328 84 81 32 126 240 77 143 116 177 116 99 78 52 77
Character l y t o t h e m a i n i d e a o f t h
Milliseconds 91 95 20 125 117 52 44 122 51 80 76 75 64 123 75 98 92 126 82 95 133 96 81 49 152
Character i s c h a p t e r , t h e l i m i t . T h
Milliseconds 38 84 139 85 69 72 237 94 62 66 116 82 55 107 77 26 259 150 132 38 55 140 58 131 108
Character e d -d i d e a o f a l i m i t p l l a -a
Milliseconds 76 85 106 302 159 53 104 89 85 118 89 94 63 90 81 184 125 28 77 84 111 113 222 155 231
Character -l a y e e s - -s -e -e s a f u n -n -u o u n d a
Milliseconds 101 91 63 151 167 0 87 226 99 119 164 110 84 81 106 82 99 310 246 483 191 49 173 141 57
Character t i o n a l r o l e t h r o u g h o u t c a
Milliseconds 245 100 975 152 48 100 22 170 95 141 39 80 139 148 166 48 46 115 68 183 65 82 69 263 89
Character l c u l u s .
Milliseconds 152 120 109 205 147 64 147
WPM Timing
Seconds WPM
2.47 48.5
4.95 43.65
7.42 67.9
9.9 78.81
12.37 79.54
14.85 85.69
17.32 84.53
19.79 82.45
22.27 85.69
24.74 82.94
27.22 85.1
29.69 84.88
32.16 86.93
34.64 88.34
37.11 86.33
39.59 85.79
42.06 84.45
44.54 83.53
47.01 82.2
49.48 82.21
51.96 83.84
54.43 85.54
56.91 88.15
59.38 86.9
61.85 87.11
64.33 87.68
66.8 86.94
69.28 85.22
71.75 84.96
74.23 85.36
76.7 84.17
79.17 83.82
81.65 83.04
84.12 82.59
86.6 82.59
89.07 82.45
91.54 82.71
94.02 83.22
96.49 83.82
98.97 83.54
101.44 83.16
103.92 83.38
106.39 83.92
108.86 84.11
111.34 85.04
113.81 85.3
116.29 84.83
118.76 83.87
121.23 83.64
123.71 83.81