Kristian (konpiv)

Race #7254

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Official speed 105.73 wpm (98.06 seconds elapsed during race)
Without ending ping 105.88 wpm (136 ms delay sending score to TypeRacer’s server)
Timerless 106.91 wpm (948 ms elapsed before first character typed; 96.98 seconds elapsed during race)
Timerless minus one 106.79 wpm, ignoring the first character typed
Race Start February 29, 2024 9:51:54pm UTC
Race Finish February 29, 2024 9:53:32pm UTC
Outcome Win (1 of 4)
Opponents 2. prinplup9 (98.25 wpm)
Accuracy 97.6%
Points 285.48
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 Calcukllus is a tool that helps us understand how a cahhange in one quanittity is related to a change in another. How does stthe speed of faia falling object change as a function of time? Hw dwow deooes the level of water in a braarerel changfee a ss 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 averagfe e and instantaneous rates of change, and show that they are closelty ry related to the slope of a cruve curve at a point P on the necurve. We give precise developments of these important concepts in the nexty ch chaoptepter, but for now we use an informal approach so youi w will see how they lead naturally to the main idea of this chaoterpter, the limit. The idea of a limit plays a dfofoundational role throughout calculus.
Timing
Character C a l c u k l -l -k l u s i s a t o o l t h
Milliseconds 948 304 142 102 319 222 0 343 271 390 198 78 66 55 77 77 71 57 110 41 138 134 63 71 126
Character a t h e l p s u s u n d e r s t a n d h o
Milliseconds 68 78 37 49 103 458 188 93 67 78 123 108 106 147 14 106 114 138 81 102 110 96 60 74 162
Character w a c a h -h -a h a n g e i n o n e q u a
Milliseconds 12 63 85 77 95 99 78 315 101 178 55 115 55 21 84 58 135 54 110 148 20 75 75 133 91
Character n i t -t -i t i t y i s r e l a t e d t o a
Milliseconds 73 156 85 405 121 114 83 108 105 114 100 65 59 120 48 51 103 69 85 82 64 117 70 75 103
Character c h a n g e i n a n o t h e r . H o w d
Milliseconds 80 85 114 98 109 94 33 78 35 138 33 85 61 158 106 99 86 58 97 106 84 129 61 58 86
Character o e s s t -t -s t h e s p e e d o f f a i -i
Milliseconds 87 77 130 95 122 183 107 170 206 138 47 64 81 98 118 139 58 63 107 71 45 91 76 28 230
Character -a -f a f a l l i n g o b j e c t c h a n g e
Milliseconds 136 139 66 72 219 59 76 128 167 144 106 36 79 416 94 93 62 174 45 135 79 70 115 48 37
Character a s a f u n c t i o n o f t i m e ? H
Milliseconds 60 87 75 77 89 68 64 149 148 73 169 39 69 181 99 124 59 58 98 47 147 71 168 82 121
Character w d -d - -w w -w o w d e o -o -e o e s t h e l
Milliseconds 215 68 107 138 142 156 74 200 88 84 64 79 66 91 224 155 251 79 114 75 86 88 57 88 95
Character e v e l o f w a t e r i n a b r a -a -r a
Milliseconds 34 126 42 77 69 140 46 63 68 87 86 102 66 64 116 153 62 86 85 96 131 53 322 114 52
Character r e -e r e l c h a n g f e -e -f e a s -s - s
Milliseconds 167 132 289 79 60 73 95 83 88 104 82 116 8 44 281 254 112 58 98 100 55 257 126 138 87
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 96 89 68 146 138 54 155 32 58 155 91 109 58 38 194 88 65 71 90 31 169 154 136 56 75
Character o f l i q u i d p o u r e d i n t o i t ?
Milliseconds 94 87 51 49 145 61 119 140 64 61 96 189 194 68 84 69 67 25 144 79 119 120 125 85 133
Character = - -= W e s e e c h a n g e o c c u r r
Milliseconds 13 180 233 144 118 88 181 60 92 174 123 59 104 79 94 100 67 15 81 116 91 120 142 103 125
Character i n g i n n e a r l y e v e r y t h i n g
Milliseconds 65 164 35 62 79 148 101 112 59 44 87 84 148 89 70 104 135 51 107 101 62 113 155 35 73
Character w e o b s e r v e i n t h e w o r l d a
Milliseconds 97 57 73 31 182 65 169 69 216 31 65 72 143 55 98 76 61 73 94 80 116 115 65 84 84
Character n d u n i v e r s e , a n d p o w e r f u l
Milliseconds 76 75 57 66 136 169 86 135 104 134 135 70 122 67 88 57 84 71 135 34 175 65 146 42 165
Character m o d e r n i n s t r u m e n t s h e l p
Milliseconds 95 77 155 18 124 69 46 115 66 134 47 137 74 36 150 58 116 22 124 88 73 127 189 166 83
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 122 37 111 56 178 128 71 83 159 28 48 68 51 75 100 31 47 169 58 35 89 99 127 152 67
Character t h i s s e c t i o n w e i n t r o d u c e
Milliseconds 70 92 160 31 52 105 182 59 172 26 49 169 44 71 50 77 117 138 36 46 114 73 131 80 60
Character t h e i d e a s o f a v e r a g f e - -e
Milliseconds 57 109 63 62 72 106 35 63 68 115 124 61 134 86 84 109 144 70 102 118 7 12 65 259 146
Character -f e a n d i n s t a n t a n e o u s r a t e
Milliseconds 111 49 55 97 105 63 102 69 146 46 126 80 93 86 155 180 92 127 148 31 56 81 72 97 60
Character s o f c h a n g e , a n d s h o w t h a
Milliseconds 112 102 49 99 72 93 79 67 109 70 45 99 61 85 111 169 139 64 90 154 28 62 95 84 52
Character t t h e y a r e c l o s e l t y r -r - -y -t
Milliseconds 102 65 102 62 119 102 41 132 95 62 63 107 49 118 40 149 46 104 3 64 126 177 132 149 106
Character y r e l a t e d t o t h e s l o p e o f
Milliseconds 56 86 119 77 41 92 93 81 99 57 136 64 91 78 88 60 78 65 43 159 140 90 52 92 105
Character a c r u v e -c -r -u -v -e - c u r v e a t a
Milliseconds 33 336 121 173 166 94 99 49 85 334 0 0 0 0 0 315 206 41 206 73 81 91 102 98 63
Character p o i n t P o n t h e n e -e -n c u r v e
Milliseconds 88 67 169 174 151 64 51 114 110 163 164 83 60 85 83 50 76 94 366 124 257 131 52 200 58
Character . W e g i v e p r e c i s e d e v e l o p
Milliseconds 89 95 131 126 91 132 82 99 55 100 56 75 67 138 108 90 186 88 91 92 119 60 76 183 115
Character m e n t s o f t h e s e i m p o r t a n t
Milliseconds 163 53 131 97 115 96 112 68 69 77 93 75 164 118 79 35 150 174 132 63 125 104 71 60 75
Character c o n c e p t s i n t h e n e x t y c h -h
Milliseconds 120 59 169 64 56 101 64 112 31 99 130 28 66 103 60 75 80 8 174 105 3 57 65 103 248
Character -c - -y c h a o p t e -e -t -p -o p t e r , b u t
Milliseconds 118 144 137 137 72 110 76 114 0 54 128 124 142 157 150 39 99 127 46 97 78 90 70 125 79
Character f o r n o w w e u s e a n i n f o r m a
Milliseconds 86 79 117 60 62 170 36 38 162 70 138 180 74 155 58 73 87 91 87 136 10 186 154 76 123
Character l a p p r o a c h s o y o u i w -w - -i w
Milliseconds 91 43 113 43 117 83 109 62 84 106 56 66 104 86 90 51 148 10 71 72 178 140 138 65 66
Character i l l s e e h o w t h e y l e a d n a t
Milliseconds 51 136 121 44 92 180 140 54 75 179 49 64 100 71 67 111 54 145 39 53 48 54 107 39 173
Character u r a l l y t o t h e m a i n i d e a o
Milliseconds 95 94 77 73 119 29 92 115 70 89 66 89 64 64 63 73 93 138 76 103 9 83 29 45 141
Character f t h i s c h a o t e r -r -e -t -o p t e r , t
Milliseconds 82 67 87 82 167 54 57 101 100 104 111 55 123 65 177 127 146 151 65 56 129 49 70 88 51
Character h e l i m i t . T h e i d e a o f a l
Milliseconds 106 72 76 64 161 127 160 119 101 64 113 143 24 104 109 30 80 30 77 109 86 77 83 80 86
Character i m i t p l a y s a d f o -o -f -d f o u n d a
Milliseconds 154 138 153 94 60 64 131 70 154 47 66 87 68 113 0 61 247 126 249 127 62 158 119 36 111
Character t i o n a l r o l e t h r o u g h o u t c a
Milliseconds 67 32 40 165 88 106 62 61 81 129 73 32 125 51 136 65 175 110 55 172 174 15 102 131 106
Character l c u l u s .
Milliseconds 97 83 147 166 138 100 70
WPM Timing
Seconds WPM
1.96 30.59
3.92 48.95
5.88 67.3
7.84 78.01
9.81 83.21
11.77 85.66
13.73 93.53
15.69 92.54
17.65 91.78
19.61 92.39
21.57 96.23
23.53 92.8
25.5 92.72
27.46 92.65
29.42 90.96
31.38 90.63
33.34 93.22
35.3 94.16
37.26 94.03
39.22 95.45
41.19 97.02
43.15 98.73
45.11 99.76
47.07 100.7
49.03 102.3
50.99 103.31
52.95 104.7
54.91 104.24
56.88 105.07
58.84 106.26
60.8 105.4
62.76 106.31
64.72 104.2
66.68 104.38
68.64 103.32
70.6 103.85
72.57 104.18
74.53 104.66
76.49 104.02
78.45 103.4
80.41 103.87
82.37 104.6
84.33 104.16
86.29 104.99
88.25 106.06
90.22 105.35
92.18 105.84
94.14 105.29
96.1 105.89
98.06 105.73