dasdr (dasdr)

Race #2525

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Official speed 96.80 wpm (107.11 seconds elapsed during race)
Without ending ping 97.01 wpm (228 ms delay sending score to TypeRacer’s server)
Timerless 97.28 wpm (305 ms elapsed before first character typed; 106.57 seconds elapsed during race)
Timerless minus one 97.17 wpm, ignoring the first character typed
Race Start June 27, 2024 8:42:20pm UTC
Race Finish June 27, 2024 8:44:07pm UTC
Outcome No win (2 of 4)
Opponents 1. giftedotter (102.54 wpm)
3. flowhy_ (84.19 wpm)
Accuracy 98.2%
Points 261.36
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 quantity is realterelated to a change in another. How does the speed of a fialling object change as a function of time? How diesdoes the evlevel of water in a barrel change as a function of the amount of liquid poured into it? We see change occurring in nearly everytyhing we observe in the world asnnd universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instanteaneous rates of change, and show theat they are closely related to the slope of a curve at a point P ON on the curve. We give praecise developments of thse these important concepts in the next fchachatppter, but for now we ussee an informal ppapproach 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.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 305 180 117 126 108 152 189 150 94 70 99 61 101 61 115 41 152 154 77 109 67 86 92 53 179
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 115 63 192 76 84 93 139 131 175 132 38 194 75 179 61 109 99 101 37 217 99 92 77 108 93
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 162 91 86 78 44 132 60 72 146 61 102 122 84 100 77 108 276 107 123 95 91 122 126 85 68
Character r e a l t e -r -e -a -l -t -e r e l a t e d t o a
Milliseconds 86 421 93 126 0 129 125 298 0 0 0 0 0 200 101 176 86 85 115 169 55 108 61 99 78
Character c h a n g e i n a n o t h e r . H o w d
Milliseconds 85 129 101 68 86 46 123 53 96 135 50 97 85 124 75 119 52 94 99 39 232 175 61 86 77
Character o e s t h e s p e e d o f a f i -i a l l
Milliseconds 92 77 85 75 102 145 93 108 84 79 68 156 159 71 105 62 64 68 101 85 191 294 99 139 155
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 183 147 95 27 108 101 91 94 155 122 93 106 94 70 84 38 155 122 86 37 162 99 102 91 103
Character n c t i o n o f t i m e ? H o w d i e s -d
Milliseconds 135 78 108 78 192 137 47 262 109 45 117 22 130 48 200 100 169 192 55 68 116 77 92 101 345
Character -i -e -s d o e s t h e e v -e -v l e v e l o f
Milliseconds 0 0 0 170 93 84 115 48 91 109 48 62 127 131 386 0 263 52 94 100 100 75 131 48 61
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 123 85 125 106 70 86 68 113 72 69 108 136 124 92 140 132 108 62 175 76 118 75 109 108 123
Character a s a f u n c t i o n o f t h e a m o u
Milliseconds 107 68 173 106 84 99 94 146 71 121 70 162 38 108 115 93 22 125 86 44 78 108 75 102 122
Character n t o f l i q u i d p o u r e d i n t o
Milliseconds 155 69 47 75 115 146 170 471 176 114 110 243 135 35 163 170 92 65 169 86 30 206 109 60 92
Character i t ? W e s e e c h a n g e o c c u r r i
Milliseconds 108 54 170 91 224 79 98 108 116 508 139 145 110 78 75 60 109 68 125 369 140 86 321 254 123
Character n g i n n e a r l y e v e r y t y -y h i n g
Milliseconds 146 77 38 86 137 54 271 92 79 97 102 116 61 139 122 85 114 117 60 156 408 362 123 125 68
Character w e o b s e r v e i n t h e w o r l d
Milliseconds 38 124 75 86 70 129 108 71 107 186 91 93 94 98 92 108 78 75 95 75 108 40 152 55 78
Character a s n -n -s n d u n i v e r s e , a n d p o w
Milliseconds 122 78 153 323 154 177 78 54 152 178 108 93 93 109 129 115 78 100 107 123 108 85 95 160 53
Character e r f u l m o d e r n i n s t r u m e n t s
Milliseconds 79 105 148 75 146 95 116 115 84 194 313 94 85 299 200 77 114 133 62 162 68 93 76 79 84
Character h e l p u s s e e m o r e a n d m o r e
Milliseconds 109 136 40 183 109 102 94 83 84 91 170 133 115 128 71 55 147 84 91 85 60 93 131 38 62
Character . I n t h i s s e c t i o n w e i n t r
Milliseconds 131 48 176 145 62 132 61 130 70 79 121 86 168 131 70 153 101 123 168 102 106 138 163 55 130
Character o d u c e t h e i d e a s o f a v e r a g
Milliseconds 131 215 107 64 177 69 115 95 50 78 114 72 170 91 62 132 115 109 20 133 137 100 139 155 107
Character e a n d i n s t a n t e -e a n e o u s r a t
Milliseconds 107 123 88 81 94 69 184 178 76 385 449 128 96 112 363 95 127 272 100 114 139 38 138 103 123
Character e s o f c h a n g e , a n d s h o w t h
Milliseconds 91 95 66 116 91 41 146 109 276 0 0 112 72 85 85 110 51 87 88 65 109 43 85 84 95
Character e -e a t t h e y a r e c l o s e l y r e l
Milliseconds 68 516 115 132 437 133 92 68 108 38 107 93 94 48 128 55 152 41 79 121 100 53 162 99 162
Character a t e d t o t h e s l o p e o f a c u
Milliseconds 49 91 121 163 45 119 51 54 108 62 77 86 83 61 178 178 39 98 115 71 61 62 118 91 85
Character r v e a t a p o i n t P O N - -N -O o n
Milliseconds 85 275 146 78 115 102 51 94 68 78 231 223 163 61 46 223 793 370 169 103 375 193 137 356 153
Character t h e c u r v e . W e g i v e p r a -a e
Milliseconds 61 118 85 67 92 116 101 77 160 132 100 53 193 86 90 109 62 92 115 71 122 61 140 470 85
Character c i s e d e v e l o p m e n t s o f t h s e
Milliseconds 359 72 138 129 86 101 139 136 102 102 189 156 200 68 103 50 87 85 62 91 30 116 78 85 84
Character -t -h -s -e - t h e s e i m p o r t a n t c o n
Milliseconds 139 361 0 0 0 0 178 85 53 107 141 93 51 139 187 159 92 155 99 85 61 78 116 117 160
Character c e p t s i n t h e n e x t f c h a -f -c -h
Milliseconds 68 155 55 130 178 140 121 148 100 106 94 61 79 91 37 162 123 54 117 0 92 93 346 0 0
Character -a c h a t p -p -t p t e r , b u t f o r n o w
Milliseconds 0 224 91 92 100 93 384 139 193 85 108 116 376 156 121 62 100 30 117 21 126 68 54 102 60
Character w e u s s e -e -s e a n i n f o r m a l p
Milliseconds 109 145 98 86 108 93 369 101 245 155 184 155 130 131 55 130 138 77 55 122 109 102 74 103 150
Character p -p -p a p p r o a c h s o y o u w i l l s
Milliseconds 194 361 0 240 61 162 139 106 35 631 0 0 98 22 63 107 62 61 54 102 37 164 150 87 77
Character e e h o w t h e y l e a d n a t u r a l l
Milliseconds 85 169 330 101 98 119 83 100 91 93 138 72 152 71 98 124 94 85 84 76 146 94 108 61 130
Character y t o t h e m a i n i d e a o f t h i
Milliseconds 77 54 122 54 69 101 87 59 96 83 69 98 132 109 115 100 161 47 199 70 137 56 121 55 115
Character s c h a p t e r , t h e l i m i t . T h e
Milliseconds 62 94 107 124 68 156 68 108 100 53 93 100 55 84 78 44 223 232 123 94 115 45 209 200 46
Character i d e a o f a l i m i t p l a y s a
Milliseconds 84 131 46 171 82 118 100 67 71 68 102 85 224 169 128 156 109 83 161 61 133 54 100 76 85
Character f o u n d a t i o n a l r o l e t h r o u g h
Milliseconds 115 39 100 146 68 108 109 39 114 95 160 446 110 114 45 140 70 55 108 74 132 92 123 139 62
Character o u t c a l c u l u s .
Milliseconds 117 91 85 44 133 77 92 100 114 139 132 116 68
WPM Timing
Seconds WPM
2.14 95.23
4.28 100.83
6.43 106.44
8.57 106.44
10.71 95.23
12.85 100.83
15 104.03
17.14 101.53
19.28 103.32
21.42 101.39
23.56 98.29
25.71 99.9
27.85 101.26
29.99 102.43
32.13 101.21
34.27 100.13
36.42 99.52
38.56 98.97
40.7 98.77
42.84 98.03
44.99 98.7
47.13 98.03
49.27 98.64
51.41 99.9
53.55 99.71
55.7 100.4
57.84 99.38
59.98 98.83
62.12 99.67
64.26 98.97
66.41 99.93
68.55 100.48
70.69 98.63
72.83 97.37
74.98 96.99
77.12 96.79
79.26 96.14
81.4 96.26
83.54 95.81
85.69 95.09
87.83 94.41
89.97 93.9
92.11 94.32
94.25 94.59
96.4 95.36
98.54 95.84
100.68 96.07
102.82 96.4
104.97 96.6
107.11 96.8