Olav (thederpygod)

Race #5833

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Official speed 103.43 wpm (100.24 seconds elapsed during race)
Without ending ping 103.72 wpm (280 ms delay sending score to TypeRacer’s server)
Timerless 104.32 wpm (576 ms elapsed before first character typed; 99.39 seconds elapsed during race)
Timerless minus one 104.20 wpm, ignoring the first character typed
Race Start December 21, 2023 2:35:09pm UTC
Race Finish December 21, 2023 2:36:49pm UTC
Outcome Win (1 of 4)
Opponents 2. hofgalmir (85.97 wpm)
Accuracy 97.1%
Points 279.25
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 quainntity is releatated to a change in another. How does the speed of a falling object change as a function of time? DHow does the level of water in a barrel change as a funcntion of the amount of liquid poured into it? We see change occurin inring in reanearnearly everhtything we observe in the world and universe, and powerful moderns in instruments help u ss see more and more. In this section we introduce the ideas of average and instatntnnteantoeoius us rates of changgee, and show that they are. closely realtelated to teh she slope of a cruvecurve at a point P on the curve. We give precidse developments of tehse hese important concepts in the next chapter, but for nowe we use an informal approach so you will see how they lead natruurally to the main idea of this cahhapter, the limit. The idea of a limit plays a foundatinoonal 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 576 175 398 69 305 269 79 87 76 43 70 77 135 90 140 68 119 142 24 60 102 31 63 50 66
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 81 111 68 103 62 75 94 63 83 173 41 156 36 131 78 83 46 111 16 93 37 55 74 60 73
Character c h a n g e i n o n e q u a i n -n -i n t i t
Milliseconds 136 77 78 97 58 77 38 109 68 106 77 103 24 93 173 105 77 203 0 366 113 90 89 79 70
Character y i s r e l e a t -t -a -e a t e d t o a c
Milliseconds 356 122 105 110 37 110 57 92 119 41 168 88 108 119 58 80 57 142 46 112 49 60 56 116 49
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 104 67 139 0 59 86 60 95 58 68 157 45 85 111 42 60 95 32 174 183 114 86 95 68 58
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 60 46 89 51 61 84 50 129 77 112 143 89 78 104 42 97 97 259 132 166 112 50 78 24 110
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 16 80 173 0 111 155 52 264 79 94 81 38 80 42 92 69 112 85 74 54 104 157 61 142 80
Character o n o f t i m e ? D -D H o w d o e s t h
Milliseconds 25 95 86 111 0 111 57 121 15 51 200 60 192 287 112 211 95 88 76 86 59 57 57 82 92
Character e l e v e l o f w a t e r i n a b a r
Milliseconds 35 59 59 44 162 79 96 40 324 111 90 56 53 66 86 69 77 52 76 70 66 69 129 95 131
Character r e l c h a n g e a s a f u n c n -n t i o
Milliseconds 120 96 80 39 78 75 96 87 41 42 111 59 70 95 87 80 65 113 343 69 17 352 167 72 66
Character n o f t h e a m o u n t o f l i q u i d
Milliseconds 52 79 103 39 96 67 42 57 73 82 88 78 114 247 96 60 52 109 63 48 81 136 120 25 132
Character p o u r e d i n t o i t ? W e s e e c
Milliseconds 87 149 32 140 124 92 117 73 56 69 76 71 86 95 75 183 61 119 158 102 55 156 241 55 384
Character h a n g e o c c u r i n i n -n -i - -n -i r i n g
Milliseconds 97 58 99 58 32 114 103 76 123 77 104 123 51 71 75 105 119 109 82 110 96 141 59 70 68
Character i n r e a -a -e n e a r -r -r -n -e -a n e a r l y
Milliseconds 40 52 94 60 215 0 119 152 97 110 33 41 61 184 126 0 0 0 342 50 98 42 78 102 43
Character e v e r h t -t -h y t h i n g w e o b s e r v e
Milliseconds 111 114 96 70 87 128 242 146 66 123 276 122 68 43 120 78 53 110 90 107 134 71 96 224 69
Character i n t h e w o r l d a n d u n i v e r s
Milliseconds 61 59 87 67 0 133 23 104 52 115 259 198 78 69 65 138 0 86 194 180 43 86 123 83 92
Character e , a n d p o w e r f u l m o d e r n s i
Milliseconds 61 121 27 56 131 0 101 52 95 49 17 97 169 63 61 78 93 79 47 145 88 164 132 72 94
Character n -n -i - -s i n s t r u m e n t s h e l p u
Milliseconds 75 191 115 98 87 198 122 77 121 49 171 35 196 95 97 50 66 119 213 78 79 105 33 85 179
Character s -s - s s e e m o r e a n d m o r e . I
Milliseconds 0 362 111 143 108 92 167 182 146 29 100 56 35 78 90 61 87 24 86 33 86 50 110 74 134
Character n t h i s s e c t i o n w e i n t r o d u
Milliseconds 152 17 157 58 70 49 66 70 62 164 144 70 34 96 81 0 48 131 43 86 23 163 109 95 149
Character c e t h e i d e a s o f a v e r a g e a
Milliseconds 59 68 89 77 77 41 68 85 213 140 32 90 149 40 122 61 221 134 130 89 85 111 51 91 91
Character n d i n s t a t n -n -t t n -n -t n t e -e a n t o -o
Milliseconds 62 114 23 77 86 42 110 70 109 30 337 115 88 74 198 127 55 45 103 376 106 45 155 149 291
Character -t e o i u s - -s -u -i u s r a t e s o f c h
Milliseconds 113 66 148 0 88 108 38 143 129 109 89 218 121 183 95 84 96 69 68 86 30 71 94 96 113
Character a n g g e -e -g e , a n d s h o w t h a t t
Milliseconds 67 147 0 103 50 395 126 40 128 52 68 85 50 102 79 107 62 49 105 76 94 78 16 86 152
Character h e y a r e . - -. c l o s e l y r e a l t
Milliseconds 131 79 69 56 59 71 69 304 99 252 115 81 85 123 148 40 42 116 92 89 66 80 91 34 138
Character e -e -t -l -a l a t e d t o t e h s -s - -h -e h e
Milliseconds 71 91 90 107 119 130 69 43 42 127 72 86 68 68 43 111 22 189 0 202 100 93 97 188 156
Character s l o p e o f a c r u v e -e -v -u -r -c c u r
Milliseconds 77 77 90 158 35 93 193 42 84 97 28 151 0 194 43 120 88 161 113 197 310 138 448 108 70
Character v e a t a p o i n t P o n t h e c u
Milliseconds 163 87 72 100 160 94 106 80 156 43 104 69 103 83 142 114 87 94 111 0 81 34 103 50 123
Character r v e . W e g i v e p r e c i d -d s e d e
Milliseconds 33 156 89 114 59 225 154 116 76 151 51 57 56 74 50 85 116 115 188 291 78 46 108 67 134
Character v e l o p m e n t s o f t e h s e - -e -s -h -e
Milliseconds 70 97 175 404 98 118 133 92 52 62 51 55 79 93 70 68 35 93 57 97 172 106 200 107 364
Character h e s e i m p o r t a n t c o n c e p t s i
Milliseconds 83 77 124 61 96 61 86 79 94 31 148 58 80 51 85 104 52 76 31 96 106 75 95 35 136
Character n t h e n e x t c h a p t e r , b u t f
Milliseconds 71 60 51 144 49 132 50 26 200 98 145 216 80 156 170 96 113 32 149 53 110 105 78 87 85
Character o r n o w e - -e w e u s e a n i n f o
Milliseconds 61 93 25 86 51 59 85 79 248 102 79 65 83 85 129 40 78 76 78 88 92 90 93 68 297
Character r m a l a p p r o a c h s o y o u w i l l
Milliseconds 70 139 94 151 113 202 153 106 130 347 85 186 674 106 65 104 46 94 88 28 64 47 121 134 133
Character s e e h o w t h e y l e a d n a t r u -u
Milliseconds 192 113 132 142 98 40 120 0 104 49 85 41 122 35 105 31 57 114 81 74 89 64 187 247 210
Character -r u r a l l y t o t h e m a i n i d e a
Milliseconds 97 58 166 86 138 100 80 68 76 79 59 69 126 0 70 111 146 79 96 33 96 41 130 58 83
Character o f t h i s c a h -h -a h a p t e r , t h e
Milliseconds 49 120 69 75 60 70 48 85 52 112 35 359 101 103 86 91 74 103 79 174 62 85 77 42 36
Character l i m i t . T h e i d e a o f a l i m i
Milliseconds 119 86 122 123 112 121 101 61 148 24 81 256 59 129 0 117 46 94 86 31 157 55 77 97 148
Character t p l a y s a f o u n d a t i n o -o -n o n a
Milliseconds 155 121 45 148 56 150 50 72 94 117 447 79 69 130 40 79 105 483 149 122 242 112 48 88 102
Character l r o l e t h r o u g h o u t c a l c u l u
Milliseconds 72 83 78 123 191 41 71 56 122 60 79 67 85 88 111 97 86 96 94 76 80 91 126 154 106
Character s .
Milliseconds 112 61
WPM Timing
Seconds WPM
2 47.88
4.01 98.76
6.01 115.72
8.02 106.24
10.02 102.95
12.03 109.73
14.03 112.87
16.04 115.22
18.04 117.72
20.05 116.72
22.05 118.08
24.06 116.72
26.06 118.79
28.07 119.28
30.07 118.11
32.08 114.1
34.08 111.26
36.09 109.73
38.09 110.57
40.1 112.23
42.1 109.73
44.11 108.56
46.11 109.56
48.12 110.98
50.12 111.33
52.13 110.27
54.13 107.52
56.14 106.88
58.14 106.91
60.15 105.94
62.15 105.81
64.15 104.56
66.16 101.94
68.16 102.46
70.17 103.29
72.17 102.42
74.18 101.59
76.18 102.38
78.19 102.67
80.19 102.95
82.2 102.92
84.2 102.18
86.21 103.01
88.21 102.57
90.22 103.62
92.22 103.45
94.23 103.92
96.23 103.87
98.24 103.22
100.24 103.43