david (dalgimbap)

Race #10

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Official speed 101.87 wpm (101.78 seconds elapsed during race)
Without ending ping 102.18 wpm (313 ms delay sending score to TypeRacer’s server)
Timerless 102.22 wpm (37 ms elapsed before first character typed; 101.43 seconds elapsed during race)
Timerless minus one 102.10 wpm, ignoring the first character typed
Race Start June 19, 2024 10:56:50pm UTC
Race Finish June 19, 2024 10:58:32pm UTC
Outcome No win (2 of 5)
Opponents 1. datoucai (142.52 wpm)
Accuracy 97.6%
Points 275.04
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. I hoHow does the spedeed of falla falling object change as a function of time? How does the level of water in a barrel change as a function of trhe amouhe amoutn of nt of liquid poured into it? hwe seWe see change occuring in inring in nearluy ey everything we observe in the world and universe, and powerful modern instruments help us see more and more I. e/ . IN this n this secitno we intion we introduce the ideas of average and instanteaneous rates of change an, and show that they are closely related to the slope of a curve at a point P on the curve. W ee give precise developments of these important concepts in the next chapter, but for now we use an informal approach so you will se how thee how they laead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational 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 37 411 116 116 105 195 150 50 52 97 53 66 102 82 89 58 135 143 91 63 101 51 329 0 0
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 0 130 58 83 71 70 76 58 134 74 99 107 128 137 113 125 59 81 38 78 50 52 59 109 76
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 88 83 67 86 80 118 39 60 58 70 109 64 73 62 164 85 156 117 159 68 135 115 62 125 65
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 55 158 118 90 76 124 97 104 79 112 52 34 90 68 83 82 60 91 40 109 23 52 49 70 38
Character n o t h e r . I h o -o -h - -I H o w d o e s
Milliseconds 109 73 29 117 48 119 86 92 186 89 131 86 229 137 122 125 325 81 92 71 104 85 64 143 109
Character t h e s p e d e -e -d e d o f f a l l -l -l -a -f
Milliseconds 64 99 49 50 112 63 103 177 39 364 152 153 84 110 75 64 86 102 113 65 123 265 120 144 117
Character a f a l l i n g o b j e c t c h a n g e a
Milliseconds 189 98 79 116 66 126 125 82 8 53 68 87 160 58 133 173 68 108 71 63 101 66 107 113 45
Character s a f u n c t i o n o f t i m e ? H o w
Milliseconds 73 91 77 102 58 77 73 66 184 37 47 38 79 57 59 60 106 35 48 67 208 64 425 164 63
Character d o e s t h e l e v e l o f w a t e r
Milliseconds 47 115 57 95 130 87 63 100 49 43 115 34 115 83 42 65 77 59 53 88 112 57 107 84 42
Character i n a b a r r e l c h a n g e a s a f
Milliseconds 60 40 89 70 68 84 70 100 153 91 103 74 71 87 52 80 65 94 64 111 74 78 80 86 79
Character u n c t i o n o f t r h e a m o u -u -o -m -a -
Milliseconds 51 67 71 173 24 54 32 77 68 54 61 127 33 43 82 82 72 40 56 84 197 132 130 113 112
Character -e -h -r h e a m o u t n o f - -f -o - -n -t n t
Milliseconds 126 125 109 167 57 54 104 40 52 82 43 27 112 27 65 97 204 134 132 110 133 118 177 73 53
Character o f l i q u i d p o u r e d i n t o i t ?
Milliseconds 67 96 53 88 141 92 80 67 51 101 99 80 164 67 116 102 35 37 51 96 58 46 97 63 236
Character h -h w e s e -e -s - -e -w W e s e e c h a n g
Milliseconds 93 157 243 155 82 86 137 81 187 137 132 123 95 131 205 155 113 117 167 89 67 79 54 83 47
Character e o c c u r i n g i n - -n -i - -g -n -i i n -n -i
Milliseconds 97 59 76 133 142 80 98 79 48 68 274 0 0 55 245 133 135 117 129 131 138 356 106 370 148
Character r i n g i n n e a r l u y e -e - -y -u y e v
Milliseconds 289 92 66 76 105 71 81 127 156 67 133 73 59 171 4 82 27 304 131 139 104 246 66 88 134
Character e r y t h i n g w e o b s e r v e i n t h
Milliseconds 123 116 84 100 57 43 99 37 68 88 65 84 95 97 66 106 112 142 58 120 66 47 71 65 80
Character e w o r l d a n d u n i v e r s e , a n d
Milliseconds 66 57 95 52 106 63 112 44 97 81 94 37 68 61 117 32 151 161 141 90 67 97 127 61 123
Character p o w e r f u l m o d e r n i n s t r u m e
Milliseconds 23 167 47 88 59 106 160 61 157 51 114 53 32 116 123 32 46 57 68 23 134 136 32 150 61
Character n t s h e l p u s s e e m o r e a n d
Milliseconds 88 51 115 37 96 84 101 40 95 102 65 83 97 100 151 65 33 44 40 89 83 80 107 24 78
Character m o r e I -I - -e . - -. e / - -/ . I N t h
Milliseconds 81 49 19 114 170 160 273 126 132 263 143 220 125 116 103 105 439 137 220 277 201 62 94 131 65
Character i s - -s -i -h -t - -N n t h i s s e c i t n o
Milliseconds 64 68 97 196 142 138 115 133 130 84 423 130 181 98 33 65 88 280 135 141 184 27 56 20 54
Character w e i n -n -i - -e -w - -o -n -t -i t i o n w e i n
Milliseconds 40 83 115 72 55 926 142 136 124 121 129 112 450 266 185 327 100 85 65 87 61 84 105 123 58
Character t r o d u c e t h e i d e a s o f a v e r
Milliseconds 48 151 88 112 88 82 83 90 73 103 31 55 86 48 111 119 68 100 36 59 104 128 120 65 121
Character a g e a n d i n s t a n t e -e a n e o u s r
Milliseconds 137 110 35 101 49 140 28 59 113 74 49 143 142 87 96 170 333 81 109 99 108 71 80 108 74
Character a t e s o f c h a n g e a n -n -a - , a n d
Milliseconds 187 125 79 118 50 57 76 70 109 80 51 263 0 33 108 68 94 228 135 130 241 96 51 150 85
Character s h o w t h a t t h e y a r e c l o s e
Milliseconds 76 90 66 43 74 57 89 80 69 112 83 65 79 83 60 53 57 66 64 85 105 75 101 46 59
Character l y r e l a t e d t o t h e s l o p e o
Milliseconds 67 170 63 30 121 129 84 132 100 91 103 109 63 39 110 72 83 64 105 73 114 90 91 87 105
Character f a c u r v e a t a p o i n t P o n
Milliseconds 89 89 290 120 113 99 101 136 68 160 161 163 100 71 68 28 79 135 64 72 81 159 114 86 62
Character t h e c u r v e . W e -e - e g i v e p
Milliseconds 79 52 103 48 38 114 75 120 154 86 111 99 165 169 55 356 121 141 213 78 133 58 96 64 48
Character r e c i s e d e v e l o p m e n t s o f t h
Milliseconds 124 113 156 94 53 76 95 111 112 169 107 91 101 81 100 79 104 73 127 67 72 61 97 120 89
Character e s e i m p o r t a n t c o n c e p t s i n
Milliseconds 60 135 51 85 192 72 83 71 31 148 133 76 63 99 94 83 68 76 108 107 76 134 58 57 50
Character t h e n e x t c h a p t e r , b u t f o
Milliseconds 70 81 77 75 55 85 97 131 80 39 83 80 68 100 64 121 121 28 85 229 75 76 59 105 37
Character r n o w w e u s e a n i n f o r m a l
Milliseconds 113 38 45 50 42 88 93 94 122 68 60 67 96 80 74 59 83 57 67 85 100 65 84 82 70
Character a p p r o a c h s o y o u w i l l s e h
Milliseconds 65 99 141 63 137 42 151 67 58 64 84 68 125 84 69 67 59 87 159 127 69 52 47 92 76
Character o w t h e -e -h -t - -w -o -h - e h o w t h e y
Milliseconds 62 51 87 84 91 78 174 142 134 110 123 132 116 119 145 119 104 85 91 59 175 61 121 33 200
Character l a -a e a d n a t u r a l l y t o t h e m
Milliseconds 200 86 293 77 111 56 64 69 77 157 60 92 108 68 99 52 75 138 91 35 90 80 71 58 72
Character a i n i d e a o f t h i s c h a p t e r ,
Milliseconds 67 109 38 79 82 56 97 120 78 60 56 75 121 51 41 67 51 129 63 91 80 172 128 104 244
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 100 95 67 66 53 509 190 81 84 67 147 232 210 164 90 82 81 61 100 116 88 45 40 102 50
Character l i m i t p l a y s a f o u n d a t i o n
Milliseconds 95 113 160 91 76 59 83 84 97 72 131 73 88 94 85 78 63 66 59 43 154 154 59 48 60
Character a l r o l e t h r o u g h o u t c a l c u l
Milliseconds 86 121 58 58 83 133 68 51 109 56 109 97 79 65 123 94 84 69 100 97 109 68 91 72 160
Character u s .
Milliseconds 167 76 160
WPM Timing
Seconds WPM
2.04 100.22
4.07 117.91
6.11 129.7
8.14 126.75
10.18 127.34
12.21 118.89
14.25 109.48
16.28 106.85
18.32 112.01
20.36 112.01
22.39 115.76
24.43 118.89
26.46 112.92
28.5 108.64
30.53 109.26
32.57 104.27
34.6 102.99
36.64 97.6
38.68 96.19
40.71 97.57
42.75 99.94
44.78 101.29
46.82 103.3
48.85 102.43
50.89 99.04
52.92 95.46
54.96 94.11
57 90.74
59.03 90.66
61.07 92.36
63.1 92.61
65.14 92.67
67.17 93.79
69.21 95.02
71.24 95.5
73.28 96.62
75.31 95.6
77.35 96.34
79.39 97.2
81.42 98.6
83.46 99.64
85.49 100.78
87.53 99.67
89.56 99.01
91.6 99.83
93.63 100.6
95.67 100.22
97.71 100.96
99.74 101.78
101.78 101.87