Mason (knap9)

Race #109

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Official speed 93.80 wpm (110.53 seconds elapsed during race)
Without ending ping 94.11 wpm (364 ms delay sending score to TypeRacer’s server)
Timerless 94.41 wpm (351 ms elapsed before first character typed; 109.82 seconds elapsed during race)
Timerless minus one 94.30 wpm, ignoring the first character typed
Race Start October 26, 2023 10:52:41pm UTC
Race Finish October 26, 2023 10:54:32pm UTC
Outcome No win (2 of 5)
Opponents 1. jervin14 (95.75 wpm)
4. sshamus (90.76 wpm)
Accuracy 97.3%
Points 253.26
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 Calciulis isus 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 HHow does the level of water unin ab barrel change as a functuoiojnn of the amount of liquid pioiureured into it? We see change occurring in nearly everythinfg wegg we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we introduce the idideas of average and instantaneous rates of change, and show that they are closely realtelated to the slope of a curve at a point P on a cuthe curve. We give precise develiopments tfof thoseesese important concepts in the next chapter, but for now we use an informal appreoaoach so you will see how they lead naututurally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throiuhgghotoutut calucuculus.
Timing
Character C a l c i -i u l i s i s -s -i - -s -i u s i s a
Milliseconds 351 183 84 109 102 436 163 156 149 80 57 43 95 197 134 128 136 143 197 84 73 119 115 42 114
Character t o o l t h a t h e l p s u s u n d e r
Milliseconds 76 64 52 140 146 70 72 70 69 71 60 0 127 70 146 56 52 75 87 73 37 131 61 144 122
Character s t a n d h o w a c h a n g e i n o n e
Milliseconds 149 48 83 70 92 56 44 172 58 227 38 294 94 34 124 28 116 130 72 51 113 53 115 112 45
Character q u a n i t -t -i t i t y i s r e l a t e d
Milliseconds 48 99 76 168 97 363 51 305 123 417 62 93 124 46 105 109 50 145 120 25 150 177 142 119 65
Character t o a c h a n g e i n a n o t h e r . H
Milliseconds 108 27 163 25 105 118 126 66 120 33 133 54 74 127 61 106 30 140 89 84 88 129 76 131 90
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 132 49 93 103 84 54 133 79 98 23 131 94 88 57 96 120 138 77 61 59 104 69 114 63 105
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 43 119 161 102 66 63 58 142 136 62 136 140 51 112 59 99 44 68 140 61 64 103 62 68 101
Character f u n c t i o n o f t i m e - ? h o w -
Milliseconds 88 58 135 46 277 42 149 114 58 87 56 104 73 36 135 47 286 279 302 146 110 183 68 71 134
Character -w -o H -H -h H o w d o e s t h e l e v e l o
Milliseconds 111 148 245 208 127 243 158 62 71 93 63 66 134 67 82 37 122 30 136 43 141 56 135 102 85
Character f w a t e r u n -n -u i n a b - -b b a r r
Milliseconds 74 106 97 118 152 111 122 71 60 161 189 138 132 122 21 120 135 41 421 122 162 70 93 104 135
Character e l c h a n g e a s a f u n c t u o -o -u i
Milliseconds 158 48 181 63 78 117 43 95 130 71 50 88 73 53 99 48 88 126 34 173 38 161 142 133 173
Character o j n -n -j n o f t h e a m o u n t o f l
Milliseconds 136 224 32 274 138 219 81 85 106 111 61 23 119 49 112 0 168 167 114 51 89 31 108 66 50
Character i q u i d p i -i o i u r e -e -r -u -i u r e d i n
Milliseconds 173 41 115 133 63 69 47 183 421 122 25 118 49 168 126 118 134 130 290 103 171 114 57 50 107
Character t o i t ? W e s e e c h a n g e o c c u
Milliseconds 75 85 95 63 64 169 156 459 137 137 91 119 96 74 118 26 122 35 96 128 68 103 47 147 192
Character r r i n g i n n e a r l y e v e r y t h i n
Milliseconds 64 262 126 135 57 80 68 108 40 122 46 109 76 83 78 73 189 98 79 117 64 119 141 46 103
Character f g w e -e -w - -g -f g -g g w e o b s e r v e
Milliseconds 79 0 79 101 138 116 123 119 139 150 213 245 486 100 91 135 211 102 136 48 127 117 81 72 56
Character i n t h e w o r l d a n d u n i v e r s e
Milliseconds 76 120 52 34 67 90 101 84 59 130 74 137 49 536 43 70 50 70 112 144 61 157 115 152 111
Character , a n d p o w e r f u l m o d e r n i n s
Milliseconds 77 58 93 28 101 71 70 139 46 87 132 143 39 165 43 104 138 36 142 111 60 82 106 115 42
Character t r u m e n t s h e l p u s s e e m o r e
Milliseconds 135 132 31 155 56 122 42 166 68 110 132 177 188 90 99 54 74 92 168 119 141 82 133 38 122
Character a n d m o r e . I n t h i s s e c t i o
Milliseconds 46 83 73 55 52 73 143 39 139 87 89 134 435 200 67 102 136 103 31 516 127 126 135 52 128
Character n w e i n t r o d u c e t h e i d -d -i i d
Milliseconds 113 31 89 87 85 85 112 43 109 44 160 88 139 150 52 106 29 119 21 574 26 149 237 275 70
Character e a s o f a v e r a g e a n d i n s t a n
Milliseconds 147 71 91 52 80 101 57 280 122 78 133 78 42 89 73 65 54 73 61 65 122 65 118 130 124
Character t a n e o u s r a t e s o f c h a n g e ,
Milliseconds 497 288 207 246 202 152 80 66 146 113 89 66 101 72 60 84 94 157 112 69 84 89 145 71 77
Character a n d s h o w t h a t t h e y a r e c l
Milliseconds 108 35 77 74 95 69 142 72 50 127 32 101 58 71 86 40 101 40 88 67 80 112 47 136 25
Character o s e l y r e a l t e -e -t -l -a l a t e d t o
Milliseconds 134 85 128 98 95 76 121 128 106 0 136 125 186 108 142 154 168 138 85 137 119 101 54 36 96
Character t h e s l o p e o f a c u r v e a t a
Milliseconds 75 46 92 55 111 52 177 315 94 48 92 83 110 45 79 95 299 67 149 144 197 146 101 110 51
Character p o i n t P o n a c u -u -c - -a t h e c
Milliseconds 97 132 139 177 112 69 45 102 154 196 160 65 91 93 112 73 310 130 144 137 129 100 84 134 731
Character u r v e . W e g i v e p r e c i s e d e v
Milliseconds 77 76 143 136 50 101 198 136 99 150 94 102 154 78 31 97 185 401 103 88 127 70 108 131 130
Character e l i -i o p m e n t s t -t f -f o f t h o s -s -o
Milliseconds 136 35 397 232 122 146 163 91 70 67 163 84 160 211 211 187 134 75 71 93 31 291 80 172 148
Character e e s e -e -s -e s e i m p o r t a n t c o n c e
Milliseconds 395 305 101 157 110 131 187 130 114 42 61 135 137 122 74 147 120 38 73 80 133 38 125 41 141
Character p t s i n t h e n e x t c h a p t e r ,
Milliseconds 82 87 167 80 95 111 55 54 77 68 114 46 94 162 62 72 84 42 130 78 77 141 112 49 87
Character b u t f o r n o w w e u s e a n i n f
Milliseconds 122 165 31 143 55 63 76 65 129 135 65 121 187 201 76 51 89 109 44 56 75 84 91 124 105
Character o r m a l a p p r e o a -a -o -e o a c h s o y
Milliseconds 97 84 85 90 45 52 109 74 124 88 147 136 34 240 109 141 153 44 145 63 105 89 65 78 358
Character o u w i l l s e e h o w t h e y l e a d
Milliseconds 47 135 42 76 49 154 111 95 38 147 123 98 66 140 61 75 85 37 124 37 143 156 68 78 86
Character n a u t u -u -t -u t u r a l l y t o t h e m
Milliseconds 119 186 99 123 35 169 207 125 123 194 68 93 69 77 132 71 91 207 53 86 96 0 127 40 36
Character a i n i d e a o f t h i s c h a p t e r ,
Milliseconds 138 37 103 81 59 74 115 62 32 130 40 124 88 44 150 39 70 109 27 114 67 67 139 96 271
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 102 98 50 86 41 83 102 138 117 62 306 108 143 99 89 52 93 57 121 43 52 102 62 96 42
Character l i m i t p l a y s a f o u n d a t i o n
Milliseconds 97 112 123 132 131 49 118 91 109 109 103 29 87 76 95 82 22 149 107 64 92 108 35 126 113
Character a l r o l e t h r o i -i u h g -g -h g h o t -t o
Milliseconds 97 57 67 70 47 127 40 124 57 73 249 90 166 298 218 167 124 291 127 168 56 159 340 177 121
Character u t -t -u -o u t c a l u c u -u -c -u c u l u s .
Milliseconds 158 102 192 127 124 301 82 95 111 126 39 153 62 222 165 131 114 149 68 151 134 68 82
WPM Timing
Seconds WPM
2.21 32.57
4.42 67.85
6.63 88.66
8.84 92.28
11.05 87.94
13.26 94.99
15.47 100.81
17.69 104.49
19.9 105.55
22.11 96.08
24.32 99.19
26.53 94.54
28.74 97.29
30.95 94.22
33.16 95.18
35.37 92.62
37.58 92.92
39.79 94.09
42 91.71
44.21 92.01
46.42 92.54
48.63 94.25
50.85 95.11
53.06 95.45
55.27 95.75
57.48 94.58
59.69 95.9
61.9 94.8
64.11 96.21
66.32 97.35
68.53 96.83
70.74 96.69
72.95 96.06
75.16 94.83
77.37 94.76
79.58 94.09
81.79 92.43
84.01 91.85
86.22 92.98
88.43 93.64
90.64 93.74
92.85 94.09
95.06 94.05
97.27 94.62
99.48 95.54
101.69 96.06
103.9 96.78
106.11 96.01
108.32 94.61
110.53 93.8