ahm (ahm_1)

Race #327

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Official speed 93.12 wpm (111.34 seconds elapsed during race)
Without ending ping 93.37 wpm (303 ms delay sending score to TypeRacer’s server)
Timerless 93.71 wpm (394 ms elapsed before first character typed; 110.64 seconds elapsed during race)
Timerless minus one 93.60 wpm, ignoring the first character typed
Race Start January 11, 2024 6:04:01pm UTC
Race Finish January 11, 2024 6:05:52pm UTC
Outcome No win (3 of 4)
Opponents 1. urchinonquit (132.08 wpm)
2. supraaxdd (99.65 wpm)
Accuracy 96.1%
Points 251.42
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 tjahat helps us understand hwow a change in one quantity is realtedlated to a change in another. How does the speed of a falling object tchange as a function of time? How does the leve of l of the water in a barrel change as a function of the amount of liqued id pourteed into it? We see change occurring nin nearly everything we onsebserve in the world and unievverse, and poerfuwerful modern insturruments help us seee more and more. I nn this section we introduce the ideas of averrrage aind instanteaeneous rates of change, we and show that they are closely relate d to the slope of a curve ad t a point P aon the curve. We give preceicise dse developments of these important concetpepts in the next chapter, but for now we use an inorformal approahch so you will see how they eadlead naturally to htthe main idea of this chapter, the limit. The idea of a lliimit plays a foundational role throughotutut calculusi...
Timing
Character C a l c u l u s i s a t o o l t j a -a -j h
Milliseconds 394 218 125 161 132 224 170 75 81 86 86 81 78 124 47 51 113 128 78 44 76 99 222 141 111
Character a t h e l p s u s u n d e r s t a n d h w
Milliseconds 77 81 61 112 50 69 300 83 57 183 71 60 140 167 50 67 125 94 98 75 48 99 68 143 331
Character -w o w a c h a n g e i n o n e q u a n t
Milliseconds 219 137 76 52 199 122 81 47 100 69 61 49 72 64 67 87 119 50 52 60 360 71 107 94 153
Character i t y i s r e a l t e d -d -e -t -l -a l a t e d
Milliseconds 112 80 82 31 181 49 92 70 30 55 50 99 31 152 160 128 121 133 102 165 52 43 62 130 78
Character t o a c h a n g e i n a n o t h e r . H
Milliseconds 123 62 96 98 119 96 45 67 99 60 41 76 76 60 91 59 131 93 79 152 25 51 80 101 218
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 162 74 46 91 58 101 50 64 109 66 114 92 83 80 79 121 72 34 102 65 81 65 151 123 39
Character l l i n g o b j e c t t -t c h a n g e a s
Milliseconds 39 125 195 37 29 85 87 83 130 66 44 171 92 80 177 88 108 69 95 63 35 62 103 77 76
Character a f u n c t i o n o f t i m e ? H o w d
Milliseconds 90 109 72 192 157 64 150 49 177 35 89 96 46 78 80 47 168 82 161 198 230 153 95 44 93
Character o e s t h e l e v e o f - -f -o - l o f
Milliseconds 83 71 41 98 79 122 93 56 134 48 114 61 90 73 81 113 177 135 111 113 333 112 146 79 91
Character t h e - -e -h -t w a t e r i n a b a r r e l
Milliseconds 70 19 85 97 215 128 127 109 70 29 70 91 64 66 58 113 126 30 181 70 149 97 192 47 105
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 78 125 59 62 102 50 48 56 84 109 90 83 141 75 41 201 104 140 60 169 43 78 259 95 51
Character t h e a m o u n t o f l i q u e d - -d -e i
Milliseconds 69 65 69 59 89 86 171 167 40 49 92 62 60 78 76 170 61 155 146 146 145 115 130 154 177
Character d p o u r t e -e -t e d i n t o i t ? W e
Milliseconds 93 65 338 354 205 91 271 129 158 103 68 72 69 67 96 82 95 111 97 46 181 338 176 136 63
Character s e e c h a n g e o c c u r r i n g n -n i n
Milliseconds 176 76 285 130 129 62 82 64 22 75 61 127 75 148 81 97 256 130 85 51 71 171 194 145 55
Character n e a r l y e v e r y t h i n g w e o n s
Milliseconds 131 35 167 31 51 120 86 60 67 124 65 112 178 18 153 67 104 32 139 117 55 97 255 75 168
Character e -e -s -n b s e r v e i n t h e w o r l d a
Milliseconds 60 144 108 130 86 74 48 398 178 62 202 15 233 107 53 67 71 68 85 36 103 72 119 60 82
Character n d u n i e v -v -e v e r s e , a n d p o e r
Milliseconds 149 86 45 120 112 146 98 56 210 118 86 39 122 76 82 115 104 60 162 84 68 80 142 72 57
Character f u -u -f -r -e w e r f u l m o d e r n i n s t u
Milliseconds 126 63 297 144 127 123 95 15 41 154 28 217 79 125 150 38 61 102 77 91 158 65 115 76 132
Character r -r -u r u m e n t s h e l p u s s e e e -e
Milliseconds 91 324 112 129 84 158 84 100 49 51 112 240 70 0 181 75 130 68 74 113 126 146 278 246 106
Character m o r e a n d m o r e . I n -n - n t h i
Milliseconds 79 162 35 39 51 107 123 71 45 111 172 87 26 99 93 153 111 144 223 130 82 55 65 56 65
Character s s e c t i o n w e i n t r o d u c e t h
Milliseconds 82 75 69 122 71 166 40 182 34 94 69 77 75 180 66 179 144 126 92 125 96 54 78 86 66
Character e i d e a s o f a v e r r -r -r r a g e a i
Milliseconds 55 88 135 124 51 44 110 75 84 63 76 271 138 233 20 64 199 154 390 221 105 92 70 75 119
Character -i n d i n s t a n t e -e a e -e n e o u s r a t
Milliseconds 236 187 53 49 140 78 112 111 113 70 115 506 217 64 285 192 79 47 82 160 46 61 98 77 275
Character e s o f c h a n g e , w e - -e -w a n d s
Milliseconds 46 45 86 92 45 78 187 129 41 111 56 43 151 59 60 130 18 143 124 115 79 120 63 46 82
Character h o w t h a t t h e y a r e c l o s e l y
Milliseconds 63 71 94 71 102 74 77 80 63 172 219 74 114 42 37 63 44 86 107 48 130 69 13 96 54
Character r e l a t e - d t o t h e s l o p e o
Milliseconds 69 109 73 210 37 89 60 214 190 112 109 49 78 88 42 156 66 69 74 83 144 142 166 112 145
Character f a c u r v e a d - -d t a p o i n t
Milliseconds 71 91 41 157 73 177 39 161 56 80 75 125 109 116 136 78 146 27 207 116 136 181 45 36 141
Character P a -a o n t h e c u r v e . W e g i v e
Milliseconds 323 172 95 215 131 46 93 80 216 66 53 223 93 107 163 54 66 126 91 118 68 157 103 118 66
Character p r e c e -e i c -c i s e d -d - -e -s -i s e d e
Milliseconds 64 87 56 56 185 24 370 202 158 108 269 104 41 157 102 96 139 119 139 121 181 76 126 100 80
Character v e l o p m e n t s o f t h e s e i m p o r
Milliseconds 108 103 0 131 193 205 64 99 35 49 84 83 46 106 77 68 80 124 88 294 99 113 108 147 28
Character t a n t c o n c e t -t -e p -p e p t s i n t h
Milliseconds 154 42 88 68 62 140 145 181 35 77 221 185 121 138 234 183 106 60 77 92 63 105 200 70 45
Character e n e x t c h a p t e r , b u t f o r n
Milliseconds 74 56 80 44 135 85 76 167 123 80 152 58 63 102 75 98 120 114 87 98 140 96 94 57 139
Character o w w e u s e a n i n o r -r -o f o r m a l
Milliseconds 106 90 73 164 50 124 115 90 32 182 50 100 106 124 72 269 118 158 112 83 116 54 158 67 132
Character a p p r o a h -h c h s o y o u w i l l s
Milliseconds 49 124 209 127 127 117 48 282 233 105 166 176 71 98 72 308 37 150 61 43 674 175 111 87 67
Character e e h o w t h e y e a d -d -a -e l e a d n a
Milliseconds 42 163 54 645 105 58 109 158 144 44 93 89 148 44 85 109 136 122 135 58 40 60 44 163 58
Character t u r a l l y t o h t -t -h t h e m a i n i
Milliseconds 69 105 86 40 82 111 73 73 112 89 86 169 24 358 112 89 459 91 105 83 84 125 86 84 103
Character d e a o f t h i s c h a p t e r , t h e
Milliseconds 95 27 41 77 92 52 105 73 60 46 81 80 110 205 158 110 86 66 113 75 111 105 161 65 99
Character l i m i t . T h e i d e a o f a l l i -i
Milliseconds 191 189 97 130 126 91 101 139 136 95 93 239 71 46 49 69 81 83 78 153 124 167 80 195 172
Character -l i m i t p l a y s a f o u n d a t i o n a
Milliseconds 110 155 82 52 111 78 165 145 54 62 126 58 123 97 75 45 155 164 54 45 88 377 197 103 345
Character l r o l e t h r o u g h o t u -u -t t -t u t c
Milliseconds 135 82 187 76 156 56 91 135 172 98 87 166 25 57 294 110 122 188 98 243 234 169 69 76 130
Character a l c u l u s i . -. . -. -i .
Milliseconds 71 75 117 121 180 168 84 332 192 201 173 298 155 143
WPM Timing
Seconds WPM
2.23 86.22
4.45 88.92
6.68 89.81
8.91 98.35
11.13 94.84
13.36 102.39
15.59 107.78
17.81 108.45
20.04 108.98
22.27 105.08
24.49 103.37
26.72 105.08
28.95 106.95
31.18 102
33.4 100.23
35.63 100.37
37.86 101.12
40.08 99.1
42.31 100.4
44.54 98.89
46.76 98.8
48.99 98.22
51.22 98.17
53.44 98.35
55.67 99.37
57.9 97.62
60.12 96.2
62.35 96.81
64.58 96.81
66.8 97.72
69.03 98.39
71.26 97.67
73.48 97.65
75.71 96.37
77.94 95.61
80.16 96.4
82.39 95.4
84.62 96.29
86.85 96.31
89.07 95.79
91.3 95.29
93.53 94.69
95.75 94.74
97.98 95.29
100.21 95.32
102.43 95.24
104.66 95.51
106.89 95.2
109.11 94.58
111.34 93.12