Denislav (drap3r)

Race #664

View Pit Stop page for race #664 by drap3r — Ghost race

View profile for Denislav (drap3r)

Official speed 111.63 wpm (92.88 seconds elapsed during race)
Without ending ping 112.05 wpm (344 ms delay sending score to TypeRacer’s server)
Timerless 112.38 wpm (276 ms elapsed before first character typed; 92.26 seconds elapsed during race)
Timerless minus one 112.25 wpm, ignoring the first character typed
Race Start January 4, 2024 8:41:33pm UTC
Race Finish January 4, 2024 8:43:06pm UTC
Outcome No win (2 of 5)
Opponents 1. teiloq (115.90 wpm)
4. aelius_raellla (96.28 wpm)
Accuracy 97.3%
Points 301.40
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 Caclcukllus is a tool that helps us understand how a change in one quantity is related to a change i an another. Howe does the speed of a faillling object change as a function of time? How does the level of water in a barrel change as a function fof the amount of luqiiquid poured into it? We see change ocurriccurring in nearly everything we observe in the world nand universe, and powerfwwefrful modern instruments help us see more and more. In this section we introduce the ideas of average and instanteaneous rates of change, and show that they are closely related to the slope of a cruve urve at a point P on hthe curve. We give precise developments of tehse hese important concepts in the next chapter, but for now we use an informal paprproach s oo you will see how they lead naturally to the main idea of hthis chapter, the limit. The idea of a limit palylays oa foundational role thouroughout calculus.
Timing
Character C a c -c l c u k l -l -k l u s i s a t o o l
Milliseconds 276 155 121 331 128 133 135 286 346 142 202 81 162 61 81 54 106 63 82 95 80 62 141 36 91
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 40 101 19 84 72 41 79 97 92 92 81 103 58 364 156 55 38 49 144 32 64 57 127 56 62
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 99 63 16 80 82 79 79 81 64 103 40 56 66 79 15 64 121 64 45 73 123 80 106 68 129
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 94 65 124 80 125 98 54 79 65 138 79 63 65 135 90 101 48 65 104 55 107 95 61 97 67
Character e i a -a - n a n o t h e r . H o w e -e d
Milliseconds 36 45 117 63 128 182 155 127 74 173 90 39 80 62 98 39 82 121 148 133 76 90 345 79 83
Character o e s t h e s p e e d o f a f a i l -l -i
Milliseconds 76 40 146 57 78 81 104 81 83 76 105 94 87 72 81 56 71 57 102 197 75 82 160 269 139
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 83 148 138 79 39 49 55 146 37 81 107 158 63 120 41 80 78 57 63 44 117 79 82 65 95
Character f u n c t i o n o f t i m e ? H o w d o e
Milliseconds 68 77 119 120 161 54 63 107 54 125 75 80 80 70 38 99 205 94 212 214 101 83 75 185 56
Character s t h e l e v e l o f w a t e r i n a
Milliseconds 119 65 56 103 65 82 117 57 104 81 73 45 122 39 81 119 112 71 66 98 61 91 45 39 135
Character b a r r e l c h a n g e a s a f u n c t
Milliseconds 74 97 121 80 160 39 122 36 67 94 40 146 38 40 83 102 80 78 86 76 64 80 97 78 154
Character i o n f -f o f t h e a m o u n t o f l u
Milliseconds 56 54 89 24 223 256 233 467 60 96 121 36 67 82 104 79 120 40 82 56 62 87 57 176 221
Character q i -i -q -u i q u i d p o u r e d i n t o i t
Milliseconds 162 89 223 131 244 164 69 119 66 149 90 215 82 208 55 40 143 41 65 80 40 95 65 85 74
Character ? W e s e e c h a n g e o c u r r i -i -r -r
Milliseconds 243 79 184 208 103 79 81 128 55 89 60 110 36 99 30 65 87 200 271 74 143 120 95 154 111
Character c -c -u c u r r i n g i n n e a r l y e v e r
Milliseconds 161 118 144 80 88 98 110 81 82 90 28 73 70 58 120 41 63 41 94 177 56 64 99 61 104
Character y t h i n g w e o b s e r v e i n t h e
Milliseconds 55 104 81 40 99 36 81 63 104 56 104 122 125 80 173 183 40 77 82 87 79 98 143 56 78
Character w o r l d n -n a n d u n i v e r s e , a n d
Milliseconds 109 77 90 53 81 38 123 204 59 78 58 40 103 63 124 53 65 80 82 54 63 79 40 80 125
Character p o w -w e r f -f -r w -w -e w e f -f r f u l m o d
Milliseconds 77 65 54 65 161 400 126 145 195 124 170 254 120 65 14 292 243 97 257 80 169 63 138 78 87
Character e r n i n s t r u m e n t s h e l p u s s
Milliseconds 58 80 79 79 103 58 23 66 141 78 36 161 63 80 63 81 194 118 113 31 149 135 76 81 126
Character e e m o r e a n d m o r e . I n t h i s
Milliseconds 80 139 78 126 35 80 63 79 371 101 90 62 84 63 56 67 181 205 137 187 115 68 97 36 70
Character s e c t i o n w e i n t r o d u c e t h e
Milliseconds 57 100 56 157 152 81 41 79 44 81 74 106 200 40 79 139 104 76 162 80 80 81 128 57 52
Character i d e a s o f a v e r a g e a n d i n s
Milliseconds 41 103 63 64 34 147 37 160 40 80 65 121 81 98 104 371 15 98 121 92 75 55 120 71 49
Character t a n t e -e a n e o u s r a t e s o f c h a
Milliseconds 81 64 81 161 78 431 81 102 120 187 61 72 183 141 39 103 57 143 55 105 54 49 97 63 122
Character n g e , a n d s h o w t h a t t h e y a
Milliseconds 38 126 11 65 63 81 104 70 41 86 76 61 40 72 47 80 46 100 54 122 48 121 98 64 80
Character r e c l o s e l y r e l a t e d t o t h e
Milliseconds 76 45 100 79 81 103 57 85 51 274 55 70 72 148 53 96 38 144 67 95 62 97 80 104 64
Character s l o p e o f a c r u v e - -e -v -u -r u r
Milliseconds 56 92 110 78 65 115 68 97 64 55 64 122 214 185 80 167 48 82 70 138 120 118 149 60 39
Character v e a t a p o i n t P o n h -h t h e
Milliseconds 161 39 56 105 82 69 290 46 134 46 295 55 79 64 121 104 287 81 78 138 214 48 64 57 48
Character c u r v e . W e g i v e p r e c i s e d e
Milliseconds 112 87 85 157 54 65 144 200 210 73 127 119 53 66 43 124 50 37 130 97 64 78 40 97 78
Character v e l o p m e n t s o f t e h s e - -e -s -h -e
Milliseconds 105 40 65 79 41 118 100 94 48 78 64 123 79 55 105 83 20 153 65 55 175 145 95 161 144
Character h e s e i m p o r t a n t c o n c e p t s i
Milliseconds 105 56 122 60 55 82 64 83 61 40 141 35 103 66 55 128 99 35 58 62 87 75 64 58 118
Character n t h e n e x t c h a p t e r , b u t f
Milliseconds 41 67 76 57 61 81 110 50 156 182 46 106 81 99 64 74 56 93 83 73 80 79 97 48 81
Character o r n o w w e u s e a n i n f o r m a l
Milliseconds 78 79 41 80 42 39 56 134 73 58 189 51 79 66 104 79 95 128 30 105 72 96 39 114 119
Character p -p a p r -r p r o a c h s o -o - o y o u
Milliseconds 79 152 199 115 39 143 218 94 115 118 57 80 102 122 144 78 98 167 143 235 142 64 128 81 65
Character w i l l s e e h o w t h e y l e a d n a
Milliseconds 133 106 220 126 42 34 80 145 81 99 36 81 56 107 64 76 85 76 136 82 46 81 78 41 79
Character t u r a l l y t o t h e m a i n i d e a
Milliseconds 57 65 79 44 75 124 150 54 81 80 63 104 81 55 63 82 95 115 29 105 119 43 54 41 97
Character o f h -h t h i s c h a p t e r , t h e l i
Milliseconds 109 80 39 98 231 80 41 62 64 33 153 88 104 64 82 54 79 82 63 81 79 38 82 120 217
Character m i t . T h e i d e a o f a l i m i t
Milliseconds 31 591 81 144 79 121 143 80 56 280 33 63 39 83 103 55 66 95 167 264 153 63 83 61 99
Character p a l y -y -l -a l a y s o -o a f o u n d a t i o
Milliseconds 62 96 25 216 159 129 147 125 83 134 65 76 184 286 33 81 81 63 98 22 94 74 98 94 40
Character n a l r o l e t h o u -u -o r o u g h o u t c
Milliseconds 39 71 155 72 71 82 79 56 43 78 79 62 45 294 138 92 103 49 89 86 45 15 100 69 187
Character a l c u l u s .
Milliseconds 74 88 111 112 144 166 49 152
WPM Timing
Seconds WPM
1.86 32.3
3.72 74.29
5.57 92.59
7.43 109.82
9.29 114.99
11.15 113.05
13 111.67
14.86 109.01
16.72 111.97
18.58 114.34
20.43 114.52
22.29 116.82
24.15 118.27
26.01 115.82
27.86 111.54
29.72 111.84
31.58 111.72
33.44 108.39
35.29 110.84
37.15 111.44
39.01 112.9
40.87 108.35
42.72 107.01
44.58 107.94
46.44 108.27
48.3 109.08
50.15 109.82
52.01 110.28
53.87 109.38
55.73 111.33
57.58 112.11
59.44 113.05
61.3 111
63.16 110.58
65.01 110.37
66.87 111.44
68.73 110
70.59 111.35
72.45 112.14
74.3 113.21
76.16 112.34
78.02 111.21
79.88 112.38
81.73 113.2
83.59 113.55
85.45 112.77
87.31 112.57
89.16 111.84
91.02 111.8
92.88 111.63