unmurderable (unmurderable)

Race #3728

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Official speed 87.41 wpm (118.61 seconds elapsed during race)
Without ending ping 87.64 wpm (313 ms delay sending score to TypeRacer’s server)
Timerless 88.66 wpm (1,362 ms elapsed before first character typed; 116.94 seconds elapsed during race)
Timerless minus one 88.56 wpm, ignoring the first character typed
Race Start January 9, 2024 3:03:32am UTC
Race Finish January 9, 2024 3:05:31am UTC
Outcome No win (4 of 5)
Opponents 1. roadto5wpm (118.11 wpm)
2. justiceex (116.08 wpm)
3. jmiddleton (92.63 wpm)
Accuracy 97.0%
Points 236.02
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 chaneg ge in another. Hwoow does the speed of a falling object change as a function of theime? How does itthe level of water in a barerel change as a function of the amount of liquid poured into tiit? We see change occurring in nearly everything we observe in the world and iuniverse, and powerful modern instruments help us see more and more. ThiIn this section we introcduct the the ideas of average and instatntaneiousous rates of change, and show that they are closely related to the slope of a curve at a point P aon the curve. We give precise develoopepemments of these important concepts in the next chapter, but for now we use an informal approach yso you will see how they lead naturally to the fmain diidea of this cahhapeter, the limit. Tehe idea of a lilmit plays a foundationlal role thorughthroughout caclculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 1362 223 200 298 68 422 262 238 96 99 345 68 120 95 107 67 159 191 74 102 61 96 33 50 67
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 116 75 140 103 41 85 130 70 160 167 48 179 67 113 99 70 37 100 59 238 71 55 55 138 85
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 124 77 98 498 115 301 74 72 60 87 141 73 64 65 283 49 152 69 176 42 728 81 93 136 90
Character r e l a t e d t o a c h a n e g - -g -e g
Milliseconds 45 315 47 92 116 86 52 179 43 97 58 101 69 104 108 45 119 63 130 10 209 201 129 125 87
Character e i n a n o t h e r . H w o -o -w o w d o e
Milliseconds 33 53 66 63 90 112 71 70 77 51 77 67 104 77 181 249 104 235 130 179 102 15 161 490 90
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 64 82 293 41 59 70 55 98 90 173 503 98 130 66 72 282 93 118 83 213 229 89 67 40 60
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 162 94 109 112 192 168 94 170 72 63 104 53 87 117 216 72 127 101 99 77 107 154 312 181 41
Character o n o f t h e -e -h i m e ? H o w d o e s
Milliseconds 68 70 111 121 86 49 120 29 54 380 121 174 48 85 246 89 403 178 100 99 117 34 167 25 194
Character i t -t -i t h e l e v e l o f w a t e r i n
Milliseconds 213 152 286 144 120 103 96 160 288 55 149 109 181 188 104 90 71 246 35 90 86 114 84 94 73
Character a b a r e -e r e l c h a n g e a s a f
Milliseconds 92 140 82 105 139 220 96 416 71 87 142 117 320 20 108 84 49 78 136 112 44 97 125 81 72
Character u n c t i o n o f t h e a m o u n t o f
Milliseconds 72 167 105 192 43 35 20 128 151 68 58 147 33 68 53 142 95 54 145 192 76 53 126 98 49
Character l i q u i d p o u r e d i n t o t i -i -t i t
Milliseconds 105 109 184 71 70 104 123 387 121 74 158 41 191 48 92 53 98 87 82 88 46 392 116 174 61
Character ? W e s e e c h a n g e o c c u r r i n g
Milliseconds 218 116 312 209 111 119 111 142 67 128 60 32 144 36 87 123 138 155 167 113 125 324 88 72 64
Character i n n e a r l y e v e r y t h i n g w e
Milliseconds 61 92 46 80 203 67 76 48 82 139 49 102 161 155 61 47 135 48 78 91 10 79 114 88 107
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 85 101 366 54 84 175 77 83 98 94 61 77 53 35 84 89 86 65 114 68 73 101 84 98 97
Character i -i u n i v e r s e , a n d p o w e r f u l
Milliseconds 129 293 170 176 91 53 136 91 70 77 135 205 98 64 59 59 324 84 123 65 63 167 64 62 123
Character m o d e r n i n s t r u m e n t s h e l p u
Milliseconds 195 101 131 191 158 94 80 251 28 245 90 87 121 206 41 119 60 84 174 142 111 72 193 119 94
Character s s e e m o r e a n d m o r e . T h -h -T
Milliseconds 84 135 117 108 160 81 76 88 45 18 94 95 102 84 66 87 66 56 30 131 103 128 187 289 124
Character i -i I n t h i s s e c t i o n w e i n t r
Milliseconds 197 331 209 210 121 139 10 80 108 57 136 101 174 140 13 66 110 28 262 63 74 114 72 149 53
Character o c -c d u c t t h -h -t - -t e t h e i d e a s
Milliseconds 75 144 254 94 89 82 175 53 114 108 285 134 134 141 82 60 303 75 67 66 163 531 163 61 85
Character o f a v e r a g e a n d i n s t a t -t n t
Milliseconds 122 108 435 56 113 251 120 76 163 84 81 66 165 112 84 54 102 36 166 156 157 162 446 125 217
Character a n e i o u s -s -u -o -i o u s r a t e s o f c
Milliseconds 121 458 485 252 47 105 66 363 135 134 131 244 111 136 119 244 93 91 456 25 302 100 73 67 172
Character h a n g e , a n d s h o w t h a t t h e y
Milliseconds 41 57 119 20 74 123 61 67 108 84 78 98 56 55 94 47 105 48 122 70 79 120 97 40 135
Character a r e c l o s e l y r e l a t e d t o t
Milliseconds 47 333 73 53 66 131 50 142 72 31 140 171 53 171 23 115 135 76 57 164 57 72 64 91 57
Character h e s l o p e o f a c u r v e a t a
Milliseconds 84 11 102 110 78 238 104 84 61 102 74 75 128 88 99 194 101 231 166 55 139 272 84 183 100
Character p o i n t P a -a o n t h e c u r v e . W
Milliseconds 250 131 67 92 42 70 172 133 96 320 169 61 79 77 73 38 82 464 118 110 183 78 108 81 218
Character e g i v e p r e c i s e d e v e l o o p e -e
Milliseconds 212 86 159 132 55 94 73 129 77 120 241 80 295 79 79 145 199 113 78 12 214 96 27 159 267
Character -p -o p e m -m -e m e n t s o f t h e s e i m p
Milliseconds 138 120 229 185 35 487 171 180 78 148 57 110 71 90 59 84 108 57 50 97 82 44 119 80 112
Character o r t a n t c o n c e p t s i n t h e n e
Milliseconds 82 122 174 102 97 58 89 141 289 60 87 179 90 90 183 115 155 48 41 100 71 19 93 107 72
Character x t c h a p t e r , b u t f o r n o w w
Milliseconds 202 177 61 145 86 104 155 91 101 84 74 89 243 61 104 59 148 101 80 78 61 71 73 84 418
Character e u s e a n i n f o r m a l a p p r o a c
Milliseconds 96 69 126 47 97 74 103 305 110 139 53 179 81 112 95 100 84 111 170 97 143 79 98 178 227
Character h y -y s o y o u w i l l s e e h o w t
Milliseconds 86 84 135 352 74 116 89 102 128 82 104 67 86 12 157 67 49 102 155 72 95 76 102 456 91
Character h e y l e a d n a t u r a l l y t o t h e
Milliseconds 80 83 96 38 330 80 74 110 62 177 79 92 101 76 133 87 139 137 55 168 76 119 302 86 50
Character f -f m a i n d i -i -d i d e a o f t h i s
Milliseconds 84 112 322 138 101 91 67 36 168 51 342 136 193 45 181 49 49 159 87 66 127 26 58 76 45
Character c a h -h -a h a p e -e t e r , t h e l i m i t .
Milliseconds 194 60 165 308 129 206 115 82 94 398 106 84 93 81 125 339 58 76 41 77 68 163 112 113 104
Character T e -e h e i d e a o f a l i l -l m i t
Milliseconds 67 144 206 334 141 68 52 125 21 187 61 80 119 63 76 123 76 451 163 186 394 141 82 93 140
Character p l a y s a f o u n d a t i o n l -l a l r o
Milliseconds 91 205 18 131 287 225 121 121 100 70 56 158 534 100 93 199 44 67 245 332 65 93 68 112 99
Character l e t h o r u g h -t -h -o -r -u -g -h t h r o u g h o
Milliseconds 171 86 41 116 54 115 25 76 98 73 373 0 0 0 0 0 0 289 77 111 100 36 115 80 94
Character u t c a c -c l c u l u s .
Milliseconds 93 67 54 200 158 132 456 198 101 94 234 172 94 101
WPM Timing
Seconds WPM
2.37 25.29
4.74 53.11
7.12 77.56
9.49 80.94
11.86 81.95
14.23 84.31
16.61 81.66
18.98 82.83
21.35 85.43
23.72 87.01
26.09 85.07
28.47 82.62
30.84 82.88
33.21 85.63
35.58 88.02
37.96 86.94
40.33 87.48
42.7 89.08
45.07 91.05
47.45 91.05
49.82 91.77
52.19 91.97
54.56 92.37
56.93 91.9
59.31 90.45
61.68 89.5
64.05 89.74
66.42 87.44
68.8 85.99
71.17 88.02
73.54 88.93
75.91 89.63
78.28 89.21
80.66 89.27
83.03 89.17
85.4 87.96
87.77 88.59
90.15 89.32
92.52 89.88
94.89 89.91
97.26 90.31
99.64 90.45
102.01 89.99
104.38 89.56
106.75 89.48
109.12 89.29
111.5 88.79
113.87 88.42
116.24 88.06
118.61 87.41