Jonathan (acinity)

Race #104

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Official speed 83.71 wpm (123.86 seconds elapsed during race)
Without ending ping 83.83 wpm (182 ms delay sending score to TypeRacer’s server)
Timerless 83.87 wpm (47 ms elapsed before first character typed; 123.63 seconds elapsed during race)
Timerless minus one 83.77 wpm, ignoring the first character typed
Race Start December 11, 2024 12:39:43am UTC
Race Finish December 11, 2024 12:41:46am UTC
Outcome No win (2 of 3)
Opponents 1. xander360 (97.41 wpm)
3. whoanow12 (75.30 wpm)
Accuracy 98.0%
Points 226.03
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 chnage 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 berrarrel change as a function of the amount of liquid poured into it? We shee chagnnge cooccurring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section wew indtroduce the ideas of average and instantaneous rates of chagnnge, and hwoshow that they are closely related to the slpope of a cureve ant a point P on the curse. ve. We give prceecise developments of these important concepts in the next chapter, but for now we use an informal appriacoach so you will see how they lead naturally to the main idea of this pchapter, the limit. The idea of a litmmit plays 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 47 441 158 368 76 155 258 118 76 154 88 57 149 77 195 77 153 174 68 95 80 68 82 30 133
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 120 134 166 159 131 194 89 79 183 167 20 198 50 148 79 70 108 94 82 122 85 135 110 96 101
Character c h n a g e - -e -c -h -n -a -g c h a n g e i n o
Milliseconds 168 77 200 19 150 52 82 322 168 10348 0 0 0 0 754 97 147 9 150 46 59 154 69 74 203
Character n e q u a n t i t y i s r e l a t e d t o
Milliseconds 48 142 83 238 56 163 460 256 103 192 126 117 103 114 107 149 69 84 164 101 74 199 128 192 55
Character a c h a n g e i n a n o t h e r . H o w
Milliseconds 93 99 82 170 100 121 55 146 51 81 128 74 70 198 60 98 118 102 99 76 107 99 226 52 163
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 103 145 86 116 49 109 124 75 94 82 125 59 168 164 127 31 105 114 50 150 82 286 67 88 178
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 168 47 120 53 135 117 103 118 219 99 76 147 54 120 106 51 74 103 74 74 135 93 80 227 96
Character n c t i o n o f t i m e ? H o w d o e s
Milliseconds 196 208 214 53 80 70 129 105 70 75 176 55 48 124 188 284 218 155 136 80 171 54 165 49 110
Character t h e l e v e l o f w a t e r i n a b
Milliseconds 123 51 73 57 84 113 186 65 82 98 179 164 100 417 118 106 75 102 105 151 74 45 104 77 175
Character e r r -r -r -e a r r e l c h a n g e a s a f
Milliseconds 95 221 121 229 145 122 83 174 170 75 110 159 219 53 166 82 100 71 61 119 99 86 94 79 151
Character u n c t i o n o f t h e a m o u n t o f
Milliseconds 75 176 92 198 10 49 75 78 109 67 55 129 53 71 54 143 107 102 119 177 115 101 105 116 84
Character l i q u i d p o u r e d i n t o i t ? W e
Milliseconds 125 75 189 103 57 237 124 176 93 121 173 118 221 73 185 86 240 81 117 107 93 283 117 167 149
Character s h -h e e c h a g n -n -g n g e c o -o -c o c c
Milliseconds 56 145 81 323 59 170 127 377 121 121 128 7 392 119 188 57 60 109 192 58 296 121 200 53 175
Character u r r i n g i n n e a r l y e v e r y t h i
Milliseconds 127 170 256 203 70 167 126 149 72 96 112 88 75 125 88 142 70 105 152 49 151 97 226 92 84
Character n g w e o b s e r v e i n t h e w o r l
Milliseconds 92 97 127 72 78 134 193 118 238 95 81 219 74 148 128 97 51 103 98 73 9 200 103 17 187
Character d a n d u n i v e r s e , a n d p o w e r
Milliseconds 65 78 170 58 97 28 253 166 121 122 95 156 146 70 234 53 175 57 118 56 160 47 68 79 81
Character f u l m o d e r n i n s t r u m e n t s h e
Milliseconds 198 77 76 123 174 51 119 193 77 181 92 201 165 116 100 150 103 219 92 79 97 96 88 122 119
Character l p u s s e e m o r e a n d m o r e .
Milliseconds 82 101 89 111 67 79 152 51 173 55 101 56 118 75 57 120 59 120 29 155 78 93 78 136 93
Character I n t h i s s e c t i o n w e w - -w i n
Milliseconds 228 197 118 149 48 53 89 108 127 50 201 174 24 101 105 36 79 154 27 109 331 113 207 177 67
Character d -d t r o d u c e t h e i d e a s o f a v
Milliseconds 192 253 58 181 71 262 103 97 164 104 126 74 50 76 134 113 198 48 173 108 133 82 76 119 204
Character e r a g e a n d i n s t a n t a n e o u s r
Milliseconds 74 145 117 202 23 157 92 83 71 76 108 75 92 114 91 112 166 165 201 192 125 117 143 106 143
Character a t e s o f c h a g n -n -g n g e , a n d h
Milliseconds 96 103 73 153 81 75 117 53 157 73 168 150 200 242 126 164 88 72 160 46 121 63 89 55 188
Character w o -o -w -h s h o w t h a t t h e y a r e c
Milliseconds 13 88 275 120 145 89 106 50 93 108 70 80 49 83 52 151 31 120 100 55 93 59 74 92 140
Character l o s e l y r e l a t e d t o t h e s l p
Milliseconds 57 154 82 57 106 119 104 169 70 136 132 83 75 198 80 124 54 75 69 59 123 57 169 83 317
Character -p o p e o f a c u r e -e v e a n -n t a
Milliseconds 308 211 83 79 110 77 93 76 128 77 176 99 118 99 421 60 71 155 233 79 252 86 128 116 157
Character p o i n t P o n t h e c u r s e . - -. -e
Milliseconds 226 66 77 92 75 106 185 192 123 70 121 709 71 97 32 222 77 119 123 101 90 46 397 146 123
Character -s v e . W e g i v e p r c e -e -c e c i s e
Milliseconds 155 54 74 139 67 219 477 122 215 82 119 48 56 181 41 225 192 391 119 60 204 122 399 115 108
Character d e v e l o p m e n t s o f t h e s e i m p
Milliseconds 142 196 102 68 108 175 50 219 116 79 142 147 100 112 66 79 99 77 148 148 94 83 366 93 125
Character o r t a n t c o n c e p t s i n t h e n e
Milliseconds 50 119 154 138 81 120 130 169 81 97 119 217 84 119 142 106 126 73 49 78 82 91 32 126 72
Character x t c h a p t e r , b u t f o r n o w w
Milliseconds 251 120 75 146 77 119 108 124 94 75 159 67 178 70 145 105 73 85 90 28 107 82 17 183 69
Character e u s e a n i n f o r m a l a p p r i a c
Milliseconds 55 177 150 67 100 59 96 80 123 141 63 41 138 70 108 113 108 119 117 117 147 94 106 113 201
Character -c -a -i o a c h s o y o u w i l l s e e h
Milliseconds 274 142 124 188 41 129 101 75 125 82 94 151 57 93 78 50 84 56 128 93 64 84 152 74 151
Character o w t h e y l e a d n a t u r a l l y t o
Milliseconds 56 134 135 405 121 118 201 95 127 112 76 123 133 125 66 127 80 125 92 134 149 93 76 130 75
Character t h e m a i n i d e a o f t h i s p -p
Milliseconds 75 159 0 115 57 129 109 112 162 27 137 68 174 69 60 82 119 130 284 74 59 116 75 110 247
Character c h a p t e r , t h e l i m i t . T h e i
Milliseconds 137 124 165 135 166 88 105 157 68 100 76 121 56 130 75 198 93 149 129 69 153 151 68 81 151
Character d e a o f a l i t m -m -t m i t p l a y s
Milliseconds 164 172 45 153 81 94 51 104 77 178 141 123 83 338 122 142 96 68 155 224 72 109 82 140 88
Character a f o u n d a t i o n a l r o l e t h r o u
Milliseconds 74 102 151 131 89 175 43 144 178 37 73 96 191 108 141 268 76 153 108 109 70 82 98 12 98
Character g h o u t c a l c u l u s .
Milliseconds 101 74 133 94 99 105 169 89 64 239 611 199 186 115 91
WPM Timing
Seconds WPM
2.48 72.66
4.95 87.2
7.43 80.74
9.91 60.55
12.39 48.44
14.86 40.37
17.34 34.6
19.82 37.54
22.29 42.52
24.77 48.93
27.25 54.61
29.73 58.54
32.2 62.23
34.68 64.71
37.16 67.17
39.63 66.61
42.11 70.39
44.59 71.86
47.07 71.9
49.54 70.73
52.02 71.05
54.5 72.44
56.97 74.14
59.45 75.49
61.93 76.35
64.41 78.25
66.88 78.59
69.36 78.55
71.84 79.51
74.31 80.09
76.79 79.54
79.27 80.69
81.75 81.18
84.22 80.93
86.7 80.83
89.18 79.8
91.65 79.21
94.13 79.17
96.61 79.75
99.08 80.42
101.56 81.29
104.04 81.66
106.52 82.13
108.99 82.35
111.47 83.11
113.95 83.2
116.42 83.69
118.9 83.46
121.38 83.94
123.86 83.71