Charles (kewlbum)

Race #1288

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Official speed 118.03 wpm (87.84 seconds elapsed during race)
Without ending ping 118.12 wpm (68 ms delay sending score to TypeRacer’s server)
Timerless 118.62 wpm (368 ms elapsed before first character typed; 87.41 seconds elapsed during race)
Timerless minus one 118.48 wpm, ignoring the first character typed
Race Start December 18, 2023 11:30:09am UTC
Race Finish December 18, 2023 11:31:37am UTC
Outcome No win (2 of 4)
Opponents 1. altrocality (137.15 wpm)
3. someone_who_needs_help (111.28 wpm)
Accuracy 98.8%
Points 318.68
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 related to a change in another. How does the speed of a falling object change as a funtnction of time? How does the level of water in a barrel fchange as a function of the amount of liquid porured into it? We see change occuringring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this csection we introduce the ideas of average and instantenouaneous 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 and informal approach so you will see how they lead naturally to the main idea of this chapeterter, the limit. The idea of a limit plays a foundational role throughout calfuculouus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 368 234 118 101 147 189 188 74 71 82 96 66 97 92 62 83 146 152 106 68 114 57 69 69 67
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 107 93 136 79 89 49 112 69 65 57 91 115 85 157 85 80 140 61 71 76 43 87 52 117 89
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 81 82 86 100 122 90 42 86 70 57 118 72 183 123 347 126 97 93 122 97 135 74 117 125 109
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 67 160 89 105 117 94 92 130 80 125 48 72 187 101 105 79 84 91 76 79 34 82 64 74 117
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 113 69 102 112 91 76 66 68 146 183 57 93 96 115 80 52 35 131 90 42 75 117 88 108 160
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 89 75 87 63 76 95 105 55 66 126 150 71 38 79 52 52 97 184 62 63 179 71 164 78 116
Character n g e a s a f u n t -t -n n c t i o n o f
Milliseconds 48 73 81 41 100 80 73 110 93 53 90 90 285 219 141 405 143 168 59 37 50 80 83 81 69
Character t i m e ? H o w d o e s t h e l e v e l
Milliseconds 103 45 38 91 138 89 118 172 53 87 104 112 56 65 40 110 76 70 56 77 61 130 77 295 88
Character o f w a t e r i n a b a r r e l f -f c h
Milliseconds 112 97 69 126 83 81 105 83 26 77 58 69 61 126 20 262 151 202 226 110 71 149 250 109 72
Character a n g e a s a f u n c t i o n o f t h e
Milliseconds 119 57 94 71 57 118 80 47 116 79 85 275 96 119 173 56 33 20 101 84 74 77 119 86 108
Character a m o u n t o f l i q u i d p o r -r u r e
Milliseconds 54 118 101 102 91 13 129 76 93 95 53 102 67 141 95 92 180 84 143 66 167 224 115 110 98
Character d i n t o i t ? W e s e e c h a n g e
Milliseconds 202 46 106 57 112 66 109 275 110 341 133 124 239 87 111 209 191 92 108 73 82 77 50 64 70
Character o c c u r i n g -g -n -i r i n g i n n e a r l y
Milliseconds 87 109 166 71 98 91 59 105 188 138 130 70 133 63 52 72 61 53 75 177 106 96 57 112 117
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 102 120 117 108 60 62 122 62 55 91 52 70 98 67 68 94 71 114 114 169 194 54 55 66 50
Character t h e w o r l d a n d u n i v e r s e ,
Milliseconds 86 26 86 49 71 95 77 87 93 90 49 63 90 94 83 39 73 92 97 102 77 124 83 42 56
Character a n d p o w e r f u l m o d e r n i n s t r
Milliseconds 130 89 63 70 116 69 105 57 151 186 47 161 15 149 99 114 108 80 100 71 69 85 51 98 167
Character u m e n t s h e l p u s s e e m o r e a
Milliseconds 47 128 129 47 102 117 78 57 96 89 136 77 83 89 87 106 91 174 95 62 64 73 52 43 108
Character n d m o r e . I n t h i s c -c s e c t i o
Milliseconds 102 45 70 108 61 62 42 133 66 159 151 62 94 122 54 48 93 159 209 73 194 108 203 58 58
Character n w e i n t r o d u c e t h e i d e a s
Milliseconds 39 88 77 85 108 136 63 78 177 50 144 78 137 61 37 469 147 85 85 103 107 80 61 114 33
Character o f a v e r a g e a n d i n s t a n t e n o
Milliseconds 115 95 71 107 167 130 81 105 137 67 50 101 93 69 64 65 73 123 150 107 97 88 102 116 83
Character u -u -o -n -e a n e o u s r a t e s o f c h a n
Milliseconds 100 268 160 152 112 88 102 87 96 65 83 57 140 75 98 90 156 65 99 77 60 118 44 114 83
Character g e , a n d s h o w t h a t t h e y a r
Milliseconds 86 67 32 57 83 97 69 62 79 74 42 89 74 103 88 66 66 63 122 84 76 96 52 84 62
Character e c l o s e l y r e l a t e d t o t h e
Milliseconds 79 66 92 25 144 61 54 202 77 111 123 87 101 138 73 87 118 58 112 56 60 81 46 58 85
Character s l o p e o f a c u r v e a t a p o i
Milliseconds 87 58 127 132 105 78 67 86 63 84 115 27 108 216 271 95 79 112 78 110 71 111 62 67 189
Character n t P o n t h e c u r v e . W e g i v
Milliseconds 71 32 74 106 125 111 75 84 54 77 60 74 72 85 79 175 39 103 42 126 200 81 114 105 97
Character e p r e c i s e d e v e l o p m e n t s o f
Milliseconds 47 48 82 74 90 131 108 79 164 103 116 87 123 60 83 141 132 151 51 140 60 281 101 137 63
Character t h e s e i m p o r t a n t c o n c e p t s
Milliseconds 91 92 75 59 184 50 72 72 67 122 11 121 148 98 74 59 89 116 39 65 110 30 112 130 113
Character i n t h e n e x t c h a p t e r , b u t
Milliseconds 82 70 53 76 48 67 62 74 49 51 213 37 80 130 83 84 128 120 117 85 42 53 172 48 71
Character f o r n o w w e u s e a n d - -d i n
Milliseconds 93 112 83 64 56 44 56 126 98 116 97 75 164 88 47 68 120 68 91 7 401 124 110 129 54
Character f o r m a l a p p r o a c h s o y o u w i
Milliseconds 77 125 100 85 114 67 70 91 77 123 64 117 86 89 73 107 159 60 73 94 64 67 71 153 66
Character l l s e e h o w t h e y l e a d n a t u
Milliseconds 152 115 69 118 79 170 85 110 53 62 61 102 78 91 58 50 125 67 45 110 95 139 105 103 106
Character r a l l y t o t h e m a i n i d e a o f
Milliseconds 96 79 80 116 47 78 144 79 24 219 56 73 79 109 141 99 56 60 104 151 93 51 51 139 81
Character t h i s c h a p e t e r -r -e -t -e t e r , t h
Milliseconds 77 90 67 52 49 83 80 72 96 79 121 43 141 113 171 133 154 112 43 106 88 81 67 165 67
Character e l i m i t . T h e i d e a o f a l i
Milliseconds 102 64 53 64 82 95 110 122 68 96 165 52 86 72 138 71 52 17 86 70 86 81 107 76 56
Character m i t p l a y s a f o u n d a t i o n a l
Milliseconds 82 93 75 85 145 66 79 129 97 67 117 94 53 70 53 42 95 123 70 57 44 51 91 98 69
Character r o l e t h r o u g h o u t c a l f u -u -f c u
Milliseconds 56 90 144 70 57 90 63 117 70 44 92 38 204 65 68 71 132 90 49 158 55 305 119 116 168
Character l o u -u -o u s .
Milliseconds 210 176 63 226 120 101 79 98
WPM Timing
Seconds WPM
1.76 81.97
3.51 105.87
5.27 116.12
7.03 114.41
8.78 113.39
10.54 117.26
12.3 119.04
14.05 121.24
15.81 122.19
17.57 116.12
19.33 117.98
21.08 118.96
22.84 115.07
24.6 116.12
26.35 117.03
28.11 115.26
29.87 113.3
31.62 112.7
33.38 111.8
35.14 112.7
36.89 114.82
38.65 115.5
40.41 115.82
42.16 116.69
43.92 116.94
45.68 116.64
47.43 116.12
49.19 116.36
50.95 114
52.71 114.98
54.46 116.34
56.22 116.76
57.98 116.95
59.73 117.12
61.49 117.68
63.25 117.64
65 117.59
66.76 118.45
68.52 118.74
70.27 118.51
72.03 118.28
73.79 118.39
75.54 118.82
77.3 119.07
79.06 118.7
80.81 118.49
82.57 118.88
84.33 119.67
86.09 119.6
87.84 118.03