ian (iqtang)

Race #234

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Official speed 97.09 wpm (106.79 seconds elapsed during race)
Without ending ping 97.30 wpm (231 ms delay sending score to TypeRacer’s server)
Timerless 97.56 wpm (288 ms elapsed before first character typed; 106.27 seconds elapsed during race)
Timerless minus one 97.45 wpm, ignoring the first character typed
Race Start January 10, 2024 4:16:22pm UTC
Race Finish January 10, 2024 4:18:09pm UTC
Outcome No win (2 of 3)
Opponents 1. ber0620 (99.34 wpm)
Accuracy 97.7%
Points 262.13
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 chnageaange as a function of time? How does the level of water ina a barrel chnageange as a function of the amount of liquid poured into it? We see change occuring inring in nearly everything we bobserve in the world and universe, and powerful modern sinstruments help us see more naand more. In this section we introduce the ideas of average and instantaneous rates of chnageange, and hsshow that they are closely related to the slop of ae of a curve at a point P on the curve,. We give precise deveelopments of thse ese important concepts in the next chapter, but for now we use an informal approach so you will see how they lkeeadadad naturally to the main idea of this chapter, the lmimit,. The idea of a limit plays a foundational role throughout calcucllkus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 288 561 111 130 109 207 152 86 87 81 88 73 104 90 58 68 119 172 83 89 65 79 52 102 141
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 90 95 139 77 122 104 103 81 135 56 121 167 68 103 89 65 92 74 71 65 90 56 69 108 110
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 156 45 145 17 91 85 100 111 101 73 168 81 27 93 114 80 136 111 366 106 162 640 235 180 105
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 72 169 72 75 131 44 102 172 47 109 68 82 120 69 166 69 100 68 109 82 80 74 69 84 121
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 66 95 59 62 97 60 105 81 171 228 105 56 141 36 117 86 91 21 66 157 71 216 19 168 143
Character d o f a f a l l i n g o b j e c t c h n
Milliseconds 159 33 144 51 70 135 132 318 81 64 135 129 107 23 69 104 131 108 82 85 76 146 176 39 188
Character a g e -e -g -a a -a -n a n g e a s a f u n c t i
Milliseconds 41 52 186 250 144 134 184 136 151 108 104 91 72 68 113 129 110 116 90 110 103 86 80 84 65
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 92 78 53 140 45 72 104 53 51 77 185 182 197 236 90 102 103 62 94 84 42 127 16 69 127
Character l e v e l o f w a t e r i n a -a a b a r
Milliseconds 150 51 123 62 61 113 95 82 52 91 62 69 77 75 35 153 71 192 383 113 137 128 190 94 95
Character r e l c h n a g e -e -g -a -n a n g e a s a f
Milliseconds 135 51 132 111 211 52 165 34 73 102 326 133 139 132 122 105 96 64 99 95 117 104 103 89 100
Character u n c t i o n o f t h e a m o u n t o f
Milliseconds 137 95 50 99 71 84 68 79 146 63 64 124 70 93 63 109 88 57 184 52 59 83 78 88 95
Character l i q u i d p o u r e d i n t o i t ? W e
Milliseconds 177 139 66 96 70 101 86 195 151 204 62 93 181 70 35 83 89 57 144 135 81 196 171 184 358
Character s e e c h a n g e o c c u r i n g i n -n -i
Milliseconds 120 117 66 152 68 199 86 144 31 86 120 121 257 85 160 69 86 113 49 71 61 102 53 281 147
Character - -g -n -i r i n g i n n e a r l y e v e r y t
Milliseconds 134 147 148 141 113 102 69 60 75 138 56 80 169 73 69 33 107 136 88 101 79 79 34 60 137
Character h i n g w e b -b o b s e r v e i n t h e
Milliseconds 53 69 102 48 92 104 70 111 166 244 191 60 155 66 110 130 85 104 98 78 30 81 29 44 119
Character w o r l d a n d u n i v e r s e , a n d p
Milliseconds 71 100 58 138 17 91 103 109 45 85 80 41 162 99 76 92 128 184 144 293 256 94 95 44 115
Character o w e r f u l m o d e r n s -s i n s t r u m e
Milliseconds 101 85 63 111 179 50 175 72 165 86 49 156 47 95 86 120 260 172 63 35 99 80 99 209 47
Character n t s h e l p u s s e e m o r e n a -a -n
Milliseconds 124 34 136 79 104 107 137 142 88 112 83 65 153 84 162 25 125 58 67 58 80 278 29 316 127
Character a n d m o r e . I n t h i s s e c t i o n
Milliseconds 85 103 54 71 68 92 56 35 187 133 247 233 80 95 64 85 31 63 113 86 106 106 87 87 66
Character w e i n t r o d u c e t h e i d e a s o
Milliseconds 140 165 53 242 242 69 45 54 126 174 88 106 24 153 82 59 29 79 135 63 196 93 158 148 95
Character f a v e r a g e a n d i n s t a n t a n e o
Milliseconds 108 118 162 431 72 73 159 150 122 92 135 96 98 50 198 68 116 109 161 298 417 279 236 128 155
Character u s r a t e s o f c h n a g e -e -g -a -n a n g
Milliseconds 144 75 67 97 78 103 64 113 80 112 83 53 194 112 171 10 161 86 253 136 159 171 132 105 75
Character e , a n d h s -s -h s h o w t h a t t h e y
Milliseconds 73 79 295 99 94 90 41 125 63 304 122 84 89 87 40 73 85 21 61 94 46 112 69 129 28
Character a r e c l o s e l y r e l a t e d t o t
Milliseconds 117 97 55 71 83 191 13 138 54 51 132 166 47 136 26 125 81 67 68 186 63 101 51 96 33
Character h e s l o p o f a -a - -f -o - e o f a c
Milliseconds 98 69 98 83 76 148 130 67 127 42 66 114 211 156 135 133 153 129 76 110 92 52 105 117 201
Character u r v e a t a p o i n t P o n t h e
Milliseconds 87 74 111 86 124 93 77 101 254 108 103 99 175 60 39 64 173 114 132 93 104 83 84 77 61
Character c u r v e , -, . W e g i v e p r e c i s e
Milliseconds 191 86 174 142 86 141 298 188 98 214 490 93 137 64 82 52 140 99 79 54 98 88 104 52 112
Character d e v e e -e l o p m e n t s o f t h s e - -e
Milliseconds 163 139 109 58 163 340 182 376 261 166 88 87 66 90 68 105 81 57 103 38 123 72 150 211 152
Character -s e s e i m p o r t a n t c o n c e p t s i
Milliseconds 146 82 98 73 98 169 51 518 116 130 153 108 134 83 94 179 56 82 101 142 166 116 164 67 78
Character n t h e n e x t c h a p t e r , b u t f
Milliseconds 85 77 57 32 181 93 108 58 175 75 106 161 52 109 135 118 135 56 121 105 132 132 74 101 96
Character o r n o w w e u s e a n i n f o r m a l
Milliseconds 57 102 44 101 58 57 76 149 43 90 135 68 47 76 151 38 132 87 56 57 136 97 127 52 124
Character a p p r o a c h s o y o u w i l l s e e
Milliseconds 63 247 75 114 141 105 127 125 70 107 130 48 140 60 108 52 69 96 51 148 136 51 81 70 160
Character h o w t h e y l k -k e e a d -d -a a d -d -a -e a
Milliseconds 107 119 84 52 46 80 61 74 75 64 158 5 423 71 179 58 160 133 132 114 102 120 143 146 77
Character d n a t u r a l l y t o t h e m a i n i
Milliseconds 52 119 124 83 56 102 87 96 72 112 163 65 194 124 108 45 72 80 64 122 57 105 82 44 144
Character d e a o f t h i s c h a p t e r , t h e
Milliseconds 58 147 74 87 94 199 104 110 98 26 69 69 157 60 141 12 330 120 45 111 128 78 75 74 61
Character l m -m i m i t , -, . T h e i d e a o f a
Milliseconds 233 246 293 196 90 85 53 182 246 187 118 135 138 53 84 79 91 142 75 87 105 84 64 144 111
Character l i m i t p l a y s a f o u n d a t i o n a
Milliseconds 217 159 114 79 63 74 134 111 89 179 95 74 104 94 91 110 127 58 57 123 97 68 67 80 225
Character l r o l e t h r o u g h o u t c a l c u c l
Milliseconds 129 88 215 75 185 61 74 87 60 131 85 143 85 44 171 59 66 66 180 70 107 104 128 93 243
Character -l -c l k -k u s .
Milliseconds 297 141 189 9 603 197 101 134
WPM Timing
Seconds WPM
2.14 73.04
4.27 98.33
6.41 110.5
8.54 99.73
10.68 102.26
12.81 106.75
14.95 105.95
17.09 104.65
19.22 100.51
21.36 101.7
23.49 105.73
25.63 102.54
27.76 99.41
29.9 102.34
32.04 102.63
34.17 101.84
36.31 98.16
38.44 99.57
40.58 99.66
42.72 101.14
44.85 101.14
46.99 101.14
49.12 100.4
51.26 101.14
53.39 101.81
55.53 101.14
57.67 100.09
59.8 100.13
61.94 98.62
64.07 98.89
66.21 100.23
68.34 98.5
70.48 98.75
72.62 98.33
74.75 98.25
76.89 97.39
79.02 96.43
81.16 96.55
83.29 96.96
85.43 98.05
87.57 98.39
89.7 98.86
91.84 97.61
93.97 98.33
96.11 98.64
98.24 97.59
100.38 97.91
102.52 98.21
104.65 98.61
106.79 97.09