auden (abu898)

Race #7905

View Pit Stop page for race #7905 by abu898 — Ghost race

View profile for auden (abu898)

Official speed 96.32 wpm (107.64 seconds elapsed during race)
Without ending ping 96.52 wpm (218 ms delay sending score to TypeRacer’s server)
Timerless 96.73 wpm (239 ms elapsed before first character typed; 107.18 seconds elapsed during race)
Timerless minus one 96.62 wpm, ignoring the first character typed
Race Start January 2, 2025 1:56:56pm UTC
Race Finish January 2, 2025 1:58:43pm UTC
Outcome Win (1 of 3)
Opponents 2. triplej414 (92.83 wpm)
Accuracy 97.5%
Points 260.06
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 at o tolol that helps us understand how a change in one quantity is related to a chagnenge in another. How sdoes the speed of a falling iobject change as a function ot tf time? How does the level of water in a barrel change as a function of the mamlount of liquid poured into it? We see chang eoce occurring in nearly eveyrrytinghing we observe in the world and universe, and pwerowerful modern instruments help us see more and more. IN thin 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 concept sss in the next chapter, but for now we use an informal approach so you will see how they lead naturally to mthe main idea of this chapter, the klimit. The idea of a limit ppllaya s a fountatiodational role thoughroughout calculurss.
Timing
Character C a l c u l u s i s a t o -o - -t t o l -l o
Milliseconds 239 194 98 150 84 154 241 175 86 107 110 74 431 145 13 217 242 133 105 313 109 86 267 392 190
Character l t h a t h e l p s u s u n d e r s t a n
Milliseconds 158 49 113 85 54 47 60 165 90 111 126 100 71 116 77 105 521 152 43 138 79 151 291 138 110
Character d h o w a c h a n g e i n o n e q u a
Milliseconds 84 74 125 74 51 73 75 57 183 95 44 128 41 61 53 59 112 61 122 95 107 62 333 88 106
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 112 130 106 198 65 88 290 101 91 82 55 149 158 102 91 128 63 77 40 80 25 128 101 93 44
Character g n e -e -n -g n g e i n a n o t h e r . H o w
Milliseconds 142 7 54 396 119 102 216 102 102 18 57 107 73 48 79 95 57 96 61 43 84 75 242 156 93
Character s -s d o e s t h e s p e e d o f a f a
Milliseconds 58 129 267 77 111 53 79 32 139 29 78 24 121 66 81 126 175 352 111 108 60 91 56 218 109
Character l l i n g i -i o b j e c t c h a n g e a s
Milliseconds 76 117 135 59 79 33 70 396 209 74 152 31 157 135 51 141 65 86 73 62 77 61 99 73 46
Character a f u n c t i o n o t t -t - -t f t i m e ?
Milliseconds 109 62 108 91 448 103 175 13 36 103 55 97 138 109 214 189 131 91 124 71 98 40 106 64 188
Character H o w d o e s t h e l e v e l o f w a
Milliseconds 109 292 162 125 69 97 44 108 73 37 139 11 139 0 85 93 127 50 55 81 107 93 38 212 97
Character t e r i n a b a r r e l c h a n g e a s
Milliseconds 86 91 78 73 36 127 115 26 103 150 132 116 103 90 104 117 73 94 62 95 46 65 42 127 87
Character a f u n c t i o n o f t h e m -m a m l -l
Milliseconds 42 116 40 123 55 158 15 158 43 41 98 69 55 107 54 152 73 27 41 90 401 113 93 30 575
Character o u n t o f l i q u i d p o u r e d i n t
Milliseconds 211 63 167 74 47 57 120 20 119 151 315 75 65 176 97 235 116 266 197 77 174 336 102 114 140
Character o i t ? W e s e e c h a n g e o c -c -o -e
Milliseconds 85 98 70 116 226 170 134 157 146 119 141 123 83 122 60 84 78 97 91 30 134 97 432 136 81
Character - e o c c u r r i n g i n n e a r l y e v
Milliseconds 138 110 121 68 143 117 90 207 123 81 145 124 240 318 128 87 92 243 103 26 139 146 84 207 157
Character e y r -r -y r y t i n g -g -n -i h i n g w e o b s
Milliseconds 71 505 162 351 120 106 162 148 91 113 95 293 116 119 230 63 126 74 53 103 66 51 149 98 183
Character e r v e i n t h e w o r l d a n d u n i
Milliseconds 67 103 194 72 97 61 115 78 250 53 91 71 142 80 79 83 83 68 80 60 80 41 115 145 86
Character v e r s e , a n d p w e r -r -e -w o w e r f u l
Milliseconds 79 127 84 122 60 98 103 35 79 85 47 152 96 28 53 328 119 151 219 76 9 56 177 236 186
Character m o d e r n i n s t r u m e n t s h e l p
Milliseconds 110 108 43 97 152 74 35 91 93 112 110 67 55 45 186 45 105 43 96 67 85 115 68 78 126
Character u s s e e m o r e a n d m o r e . I N
Milliseconds 96 117 42 145 144 122 39 132 59 64 48 41 110 46 129 66 120 56 66 45 101 73 150 130 90
Character t h i -i -h -t - -N n t h i s s e c t i o n w e
Milliseconds 54 71 83 302 159 112 205 184 254 195 328 65 80 83 83 80 104 157 140 24 71 99 74 71 45
Character i n t r o d u c e t h e i d e a s o f a
Milliseconds 78 219 76 87 42 41 165 96 69 150 68 143 75 43 89 65 88 126 78 108 74 114 93 47 218
Character v e r a g e a n d i n s t a n t a n e o u s
Milliseconds 177 108 138 81 67 61 72 61 169 120 57 150 104 125 37 115 492 277 239 121 164 177 416 223 62
Character r a t e s o f c h a n g e , a n d s h o w
Milliseconds 108 91 117 67 150 53 55 92 37 120 57 91 83 61 37 78 99 77 80 60 49 162 44 51 105
Character t h a t t h e y a r e c l o s e l y r e
Milliseconds 62 91 77 5 80 43 97 91 70 89 51 68 114 32 74 131 61 141 42 42 101 153 55 134 72
Character l a t e d t o t h e s l o p e o f a c
Milliseconds 189 82 124 85 156 54 134 53 76 57 56 74 32 149 62 551 150 105 54 67 109 40 62 115 119
Character u r v e a t a p o i n t P o n t h e
Milliseconds 159 256 164 98 71 61 102 61 67 212 194 67 92 134 83 73 198 114 161 126 280 156 66 74 30
Character c u r v e . W e g i v e p r e c i s e d e
Milliseconds 183 103 36 171 51 112 96 176 133 97 116 71 104 54 71 112 114 53 185 103 198 98 86 235 127
Character v e l o p m e n t s o f t h e s e i m p o r
Milliseconds 127 61 31 189 127 144 84 75 77 105 35 78 92 52 94 47 81 108 84 67 188 157 92 47 162
Character t a n t c o n c e p t s -s s -s - s i n t h
Milliseconds 384 79 98 95 110 353 39 77 71 147 78 83 92 6 436 110 217 133 96 78 64 125 111 0 108
Character e n e x t c h a p t e r , b u t f o r n
Milliseconds 32 89 68 31 150 133 66 111 60 103 77 80 73 91 74 96 334 205 121 55 132 84 67 68 281
Character o w w e u s e a n i n f o r m a l a p p
Milliseconds 105 69 54 93 96 82 111 65 57 61 100 64 90 73 73 108 116 41 116 80 73 101 138 50 127
Character r o a c h s o y o u w i l l s e e h o w
Milliseconds 93 87 110 137 47 91 120 55 56 133 55 83 67 108 19 152 102 61 98 91 137 123 96 51 136
Character t h e y l e a d n a t u r a l l y t o m
Milliseconds 62 110 36 83 80 61 115 84 31 116 42 169 151 110 54 111 63 57 91 146 62 98 85 63 98
Character -m t h e m a i n i d e a o f t h i s c h
Milliseconds 331 98 85 49 67 74 79 60 83 68 125 79 152 91 51 69 94 48 110 61 85 144 259 121 92
Character a p t e r , t h e k -k l i m i t . T h e i
Milliseconds 85 71 80 80 90 49 101 127 46 82 26 108 396 228 114 112 90 98 109 82 159 130 70 61 89
Character d e a o f a l i m i t p p l -l -p l a y a
Milliseconds 93 145 67 66 66 123 48 90 63 230 138 97 81 97 77 201 221 220 232 100 189 81 101 107 7
Character - -a s a f o u n t a t i o -o -i -t -a -t d a t i o
Milliseconds 397 103 97 65 92 73 103 61 79 144 29 72 116 63 84 255 125 133 194 118 132 107 101 100 105
Character n a l r o l e t h o u g h -h -g -u -o r o u g h o
Milliseconds 77 145 91 104 140 42 133 98 120 133 79 152 78 122 72 274 121 143 89 133 107 79 92 84 133
Character u t c a l c u l u r s -s -r s .
Milliseconds 90 141 86 124 80 83 198 272 121 175 56 90 392 129 122 92
WPM Timing
Seconds WPM
2.15 72.46
4.31 44.59
6.46 63.17
8.61 76.64
10.76 81.38
12.92 85.47
15.07 87.59
17.22 89.19
19.38 89.19
21.53 91.97
23.68 89.69
25.83 93.37
27.99 96.47
30.14 97.94
32.29 96.25
34.45 95.11
36.6 95.09
38.75 92.59
40.9 92.12
43.06 88.63
45.21 88.92
47.36 90.71
49.51 89.91
51.67 91.74
53.82 93.64
55.97 90.69
58.13 92.08
60.28 92.97
62.43 92.64
64.58 92.9
66.74 94.94
68.89 96.15
71.04 95.77
73.2 95.74
75.35 96.51
77.5 96.77
79.65 96.87
81.81 96.23
83.96 96.76
86.11 97.55
88.27 98.43
90.42 99.14
92.57 99.56
94.72 100.21
96.88 99.96
99.03 99.24
101.18 98.44
103.34 98.01
105.49 97.15
107.64 96.32