AtomicSkunk (georgel8314)

Race #2019

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Official speed 89.96 wpm (115.25 seconds elapsed during race)
Without ending ping 90.09 wpm (169 ms delay sending score to TypeRacer’s server)
Timerless 90.55 wpm (585 ms elapsed before first character typed; 114.50 seconds elapsed during race)
Timerless minus one 90.45 wpm, ignoring the first character typed
Race Start July 25, 2024 10:27:59pm UTC
Race Finish July 25, 2024 10:29:54pm UTC
Outcome Win (1 of 5)
Opponents 3. aiaiuui (76.12 wpm)
4. thepman (73.04 wpm)
Accuracy 97.3%
Points 242.89
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 understand how a change in one quanittity 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 mamount of liquid pourued into it? We casee change occuring ring in enearly everything we observe in the world and universe, and powerful modern intstruments helpu us see more and more. In this section we introduce the ideas of average and instatntaneous atrate os of cahange, and show that they are closely related to the slope of a surcurve at tha point P on the curve. W egie give precise developemments iof thosese important concepts in the next chapter, but for now we use an informal approach so you will see how they lead naturally tot he the main idea of this chapter, the limit. The ideas of a limit plays a foundation roleal 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 585 145 96 451 104 164 93 130 111 101 114 83 90 88 94 63 126 148 181 107 70 82 65 51 107
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 95 83 55 102 66 60 116 105 127 193 44 158 15 148 110 90 97 111 117 69 110 134 90 106 93
Character c h a n g e i n o n e q u a n i t -t -i t i t
Milliseconds 148 110 87 102 51 130 58 91 81 167 243 87 59 134 89 96 121 127 181 102 252 136 112 91 110
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 176 109 155 111 113 85 56 124 97 62 127 201 37 148 32 56 426 108 89 89 64 127 67 114 67
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 114 65 158 75 71 69 67 86 104 35 81 148 126 88 129 116 127 92 94 163 37 183 36 164 13
Character s p e e d o f a f a l l i n g o b j e c t
Milliseconds 548 105 137 147 178 79 125 93 87 96 95 176 106 76 131 123 65 84 102 112 127 212 108 202 177
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 92 162 84 68 122 46 116 91 66 67 79 271 118 112 135 197 74 197 47 88 50 196 130 94 76
Character t i m e ? H o w d o e s t h e l e v e l
Milliseconds 103 56 78 51 234 189 160 164 104 154 320 173 81 185 85 101 113 29 75 128 69 156 135 67 76
Character o f w a t e r i n a b a r r e l c h a n
Milliseconds 100 73 64 97 72 88 158 41 91 93 71 158 76 134 316 130 95 158 156 54 192 16 342 164 108
Character g e a s a f u n c t i o n o f t h e m
Milliseconds 85 120 109 60 67 78 124 73 156 84 187 68 215 42 66 71 181 105 118 87 204 80 104 94 85
Character -m a m o u n t o f l i q u i d p o u r u -u e
Milliseconds 299 63 68 103 84 164 82 109 70 98 61 146 103 202 96 64 202 124 263 202 140 261 336 287 66
Character d i n t o i t ? W e c a -a -c s e e c h a
Milliseconds 197 43 146 52 134 224 164 118 106 291 167 119 207 85 242 110 262 143 59 69 140 115 94 109 35
Character n g e o c c u r i n g - -g -n -i r i n g i n
Milliseconds 157 47 127 91 176 103 174 106 134 108 72 102 140 197 152 147 130 89 83 68 87 111 510 72 156
Character e -e n e a r l y e v e r y t h i n g w e o b
Milliseconds 62 241 474 102 129 79 74 173 81 240 171 145 48 84 105 89 97 99 73 128 99 61 85 206 110
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 210 61 140 197 163 80 106 65 152 63 62 94 64 82 83 81 78 114 51 76 72 76 95 157 162
Character i v e r s e , a n d p o w e r f u l m o d e
Milliseconds 42 121 131 63 99 100 143 113 81 60 99 99 141 153 82 30 100 216 53 151 106 336 87 244 162
Character r n i n t -t s t r u m e n t s h e l p u -u u
Milliseconds 40 92 99 107 74 249 309 71 90 205 145 205 64 107 53 120 85 83 123 54 63 225 312 82 197
Character s s e e m o r e a n d m o r e . I n t
Milliseconds 112 95 484 90 171 42 144 60 8 31 164 21 137 72 104 85 60 50 58 153 123 136 69 176 110
Character h i s s e c t i o n w e i n t r o d u c e
Milliseconds 47 38 97 75 374 85 189 185 19 78 53 158 89 122 171 196 76 265 162 118 157 112 89 107 85
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 78 77 74 85 92 98 146 58 104 127 103 60 90 121 120 156 38 98 96 114 95 41 101 36 120
Character i n s t a t -t n t a n e o u s a t -t -a r a t e
Milliseconds 313 60 127 112 274 98 481 222 140 440 96 158 161 60 121 105 396 127 238 122 337 119 73 152 87
Character o -o - s o f c a -a h a n g e , a n d s h o
Milliseconds 125 261 115 121 39 160 203 141 252 177 393 154 79 124 76 141 82 110 96 90 47 135 207 87 50
Character w t h a t t h e y a r e c l o s e l y r
Milliseconds 86 123 444 113 119 49 64 116 30 122 57 63 47 66 71 109 123 115 119 48 63 119 155 71 311
Character e l a t e d t o t h e s l o p e o f a
Milliseconds 83 219 157 35 148 198 75 98 34 87 68 64 100 101 218 106 136 79 115 30 115 117 40 78 105
Character s u r -r -u -s c u r v e a t t h -h -t a p o i n
Milliseconds 244 174 96 230 138 131 41 146 47 173 116 87 80 72 46 116 42 260 126 78 78 171 19 102 47
Character t P o n t h e c u r v e . W e g i -i -g
Milliseconds 120 108 337 170 149 76 148 28 117 54 117 105 114 87 154 129 36 139 66 164 17 149 28 261 150
Character -e - e g i v e p r e c i s e d e v e l o p e
Milliseconds 141 119 37 161 102 122 96 135 96 100 98 68 233 97 101 333 151 268 135 124 119 12 128 63 195
Character m -m -e m e n t s i -i o f t h o s -s -o e s e i
Milliseconds 26 359 122 126 84 99 59 125 70 93 238 156 59 108 58 56 48 35 241 135 84 176 64 154 373
Character m p o r t a n t c o n c e p t s i n t h e
Milliseconds 108 121 13 127 164 91 86 143 139 198 226 95 69 155 105 70 170 119 99 71 155 63 76 85 84
Character n e x t c h a p t e r , b u t f o r n o w
Milliseconds 106 31 234 154 98 119 64 75 119 117 176 31 137 141 290 53 145 79 127 28 184 138 108 71 59
Character w e u s e a n i n f o r m a l a p p r o
Milliseconds 125 92 66 95 95 63 57 98 82 455 155 90 73 53 101 71 104 125 211 108 198 100 152 94 100
Character a c h s o y o u w i l l s e e h o w t
Milliseconds 135 74 89 104 219 99 77 261 117 68 98 87 77 184 101 142 54 150 208 142 101 56 60 115 154
Character h e y l e a d n a t u r a l l y t o t h e
Milliseconds 52 116 50 70 121 6 100 121 72 215 143 46 120 77 81 62 96 142 81 57 81 115 41 170 7
Character -e -h - -t t h e m a i n i d e a o f t h i
Milliseconds 236 134 132 117 118 96 56 118 72 121 93 113 77 155 63 142 759 144 144 98 101 202 131 52 47
Character s c h a p t e r , t h e l i m i t . T h e
Milliseconds 86 79 102 96 42 337 98 166 36 58 129 44 86 77 106 171 62 251 60 136 147 150 108 91 98
Character i d e a s -s o f a l i m i t p l a y s
Milliseconds 97 84 79 144 48 135 289 118 145 92 130 14 189 196 72 206 92 147 106 83 55 124 109 91 124
Character a f o u n d a t i o n r o l e -e -l -o -r - a l
Milliseconds 77 115 271 193 92 391 74 167 56 40 60 63 151 44 79 139 89 236 134 155 147 142 462 91 110
Character r o l e t h r o u g h o u t c a l c u l u s .
Milliseconds 130 49 152 69 86 105 61 107 49 38 86 46 124 43 67 114 192 142 115 156 120 137 70 115 122
WPM Timing
Seconds WPM
2.31 67.68
4.61 93.71
6.92 102.39
9.22 95.01
11.53 96.83
13.83 101.52
16.14 98.91
18.44 99.57
20.75 100.65
23.05 99.43
25.36 100.33
27.66 100.22
29.97 99.72
32.27 98.91
34.58 96.14
36.88 95.01
39.19 92.48
41.49 90.53
43.8 91.24
46.1 93.19
48.41 93.21
50.71 93
53.02 91.9
55.32 93.27
57.63 93.08
59.93 94.51
62.24 92.74
64.54 91.29
66.85 89.58
69.15 90.06
71.46 90.85
73.76 91.43
76.07 90.24
78.37 90.65
80.68 89.99
82.98 89.37
85.29 88.92
87.59 88.78
89.9 89.3
92.2 89.93
94.51 90.03
96.81 90.11
99.12 90.92
101.42 90.63
103.73 90.35
106.03 90.54
108.34 90.5
110.64 90.67
112.95 89.46
115.25 89.96