joey (legend_joey)

Race #5810

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Official speed 77.52 wpm (133.75 seconds elapsed during race)
Without ending ping 77.64 wpm (215 ms delay sending score to TypeRacer’s server)
Timerless 77.98 wpm (572 ms elapsed before first character typed; 132.96 seconds elapsed during race)
Timerless minus one 77.89 wpm, ignoring the first character typed
Race Start March 9, 2024 11:36:42pm UTC
Race Finish March 9, 2024 11:38:55pm UTC
Outcome No win (4 of 5)
Opponents 2. kailhreds (80.88 wpm)
Accuracy 94.4%
Points 209.29
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 Cvalalalculus is ta a tool t hat hhhat ehelps un s understand how a change in one wnquanitittiytty is related atto a change in another. hHow does the speed of a sfalling object change as a funcitotition of tiemme H? How does the level of water in a baarrreell change as a functonion fof the mamiuntount of liqiuid pioured into it> ?we We see change occuriring in nearlyt ev everything we obesserve in wthethe wroldorld and universe, and powerful moderin n insturruments help us see more and more. In this secittion we introdduuce the ideas of average inaand instanteaneous rates of cahnghange , and show that they are closely ralletelated to the slpeope of a cruurve at a pount int P on the curve. We ibgive precise develpoopments of thseese important conecpcepotts in the next chapotter, bnut yut futut for now we use an informal apporoach so you will see how they lead naturally to the majni in idea of this chaprtter, the lim itit. The idea of a milimit plays a foundational role thouroughout calculus.
Timing
Character C v a l -l -a a l -l -a -v a l c u l u s i s t a
Milliseconds 572 11 67 150 174 129 348 137 167 126 124 112 115 400 148 650 209 132 96 145 116 74 163 135 91
Character - -a -t a t o o l t h a t h -h - -t -a -h h -h -
Milliseconds 134 116 117 97 24 107 84 414 146 68 92 81 20 30 63 43 80 166 126 114 123 98 339 192 108
Character h a t e -e h e l p s u n - -n s u n d e r s
Milliseconds 184 33 51 50 257 315 195 65 158 43 59 183 192 78 244 148 99 110 70 91 50 32 67 492 109
Character t a n d h o w a c h a n g e i n o n e
Milliseconds 90 87 48 100 68 62 105 61 58 90 92 107 147 76 81 105 74 47 10 73 115 162 77 23 81
Character w n -n -w q u a n i t i -i -t t -t -i t i y t -t -y t y
Milliseconds 89 148 262 121 102 129 111 58 231 106 115 177 118 139 288 118 95 123 75 10 326 128 101 148 78
Character i s r e l a t e d a t -t -a t o a c h a n g
Milliseconds 49 106 49 97 81 102 336 93 92 86 47 160 69 218 117 133 93 86 84 93 116 59 56 124 99
Character e i n a n o t h e r . h -h H o w d o e s
Milliseconds 76 22 77 72 60 65 89 80 19 129 37 35 139 5 296 325 200 159 96 53 82 130 71 60 62
Character t h e s p e e d o f a s -s f a l l i n g
Milliseconds 115 101 52 49 106 92 66 134 58 79 67 64 88 14 114 89 270 68 62 124 116 174 58 52 79
Character o b j e c t c h a n g e a s a f u n c i t
Milliseconds 76 151 238 94 47 171 49 198 365 126 69 94 75 40 91 75 69 113 78 107 85 57 110 185 8
Character o -o -t t i -i -t -i t i o n o f t i e m -m -e m e
Milliseconds 152 243 124 147 101 177 119 112 91 97 127 79 4 151 63 61 107 70 90 5 393 124 179 100 330
Character H -H - - ? H o w d o e s t h e l e v e l
Milliseconds 147 149 165 110 134 548 159 187 194 96 50 76 108 69 65 16 97 74 50 48 108 43 87 90 104
Character o f w a t e r i n a b a a r -r -a r r e e
Milliseconds 60 124 59 88 123 102 88 121 49 61 98 60 73 7 133 100 173 156 173 177 119 61 171 10 299
Character l -l -e l c h a n g e a s a f u n c t o n -n
Milliseconds 172 192 119 171 55 89 109 5 140 67 42 77 76 74 51 388 88 133 259 176 101 151 205 69 294
Character -o i o n f -f o f t h e m -m a m i u n t -t -n -u
Milliseconds 124 220 134 80 39 97 447 365 45 84 88 80 43 62 95 244 134 163 179 9 85 66 156 120 128
Character -i o u n t o f l i q i -i u i d p i -i o u r e
Milliseconds 109 217 184 67 53 60 129 77 68 63 186 170 145 412 240 169 115 62 54 186 294 154 216 101 177
Character d i n t o i t > - -> ? w e -e -w W e s e e
Milliseconds 90 82 46 57 93 70 94 98 59 245 108 211 100 249 335 119 151 112 160 86 88 91 112 62 153
Character c h a n g e o c c u r i -i r i n g i n n e
Milliseconds 132 97 106 90 47 73 75 63 70 162 156 106 128 121 300 94 110 62 28 78 75 55 57 145 82
Character a r l y t e v -v -e - -t e v e r y t h i n g w
Milliseconds 64 21 132 72 12 38 77 104 160 122 115 146 177 100 66 128 49 119 114 103 48 94 37 72 111
Character e o b e s -s -e s e r v e i n w t h e -e -h -t -w
Milliseconds 61 77 67 159 109 140 235 115 94 168 88 198 76 118 70 45 111 103 102 50 101 175 113 123 113
Character t h e w r o l d -d -l -o -r o r l d a n d u n i
Milliseconds 139 96 65 80 85 84 19 137 64 180 120 125 114 186 82 82 89 78 106 15 314 117 132 64 157
Character v e r s e , a n d p o w e r f u l m o d e r
Milliseconds 109 149 52 157 48 107 87 287 87 79 59 80 59 42 152 25 249 117 203 101 190 26 130 168 41
Character i n - -n -i n i n s t u r -r -u r u m e n t s h
Milliseconds 166 61 150 263 127 119 155 111 13 62 148 80 206 91 199 88 130 82 145 100 76 81 56 98 104
Character e l p u s s e e m o r e a n d m o r e .
Milliseconds 92 109 49 113 131 75 74 100 109 137 131 88 64 37 59 48 76 83 68 75 48 36 63 67 97
Character I n t h i s s e c i t -t -i t i o n w e i
Milliseconds 111 152 44 83 104 92 78 33 53 106 158 60 145 85 267 126 67 108 113 79 0 81 39 70 171
Character n t r o d d u -u -d u c e t h e i d e a s o f
Milliseconds 43 53 127 133 180 161 328 187 116 188 67 64 54 90 87 51 86 96 40 80 65 180 50 232 99
Character a v e r a g e i n a -a -n -i a n d i n s t a n
Milliseconds 71 98 148 410 61 173 7 654 80 136 68 27 201 119 134 124 115 60 77 75 57 34 90 162 185
Character t e -e a n e o u s r a t e s o f c a h n g -g
Milliseconds 107 397 439 238 105 509 152 136 102 68 210 92 86 84 105 60 123 88 100 341 110 73 158 34 170
Character -n -h -a h a n g e - , a n d s h o w t h a t
Milliseconds 119 131 142 222 75 99 62 69 171 265 205 98 80 135 124 53 115 118 54 33 71 106 97 39 51
Character t h e y a r e c l o s e l y r a l -l -a l e
Milliseconds 52 93 43 85 86 86 43 69 61 54 101 124 149 225 69 123 100 78 160 92 123 198 122 146 105
Character t -t -e -l e l a t e d t o t h e s l p e -e -p o
Milliseconds 80 155 125 124 132 131 80 70 156 527 104 93 120 49 28 112 43 62 84 118 139 183 143 131 184
Character p e o f a c r u -u -r u r v e a t a p o
Milliseconds 53 56 69 129 104 59 75 95 75 197 110 240 94 212 50 184 80 36 173 112 82 95 92 69 208
Character u n t - -t -n -u i n t P o n t h e c u r v
Milliseconds 632 66 36 63 207 117 130 318 190 58 40 102 264 183 193 99 46 97 77 35 74 78 157 58 213
Character e . W e i b -b -i g i v e p r e c i s e d e
Milliseconds 77 105 117 126 58 80 395 73 198 114 142 175 46 51 57 84 290 74 134 136 392 95 39 212 116
Character v e l p o -o -p o p m e n t s o f t h s e -e -s e
Milliseconds 107 83 29 137 16 379 118 189 33 178 75 117 122 446 88 139 67 82 117 92 113 38 315 124 146
Character s e i m p o r t a n t c o n e c p -p -c -e c e p
Milliseconds 108 70 65 324 54 157 35 74 157 101 91 78 84 94 60 57 118 49 176 147 134 87 114 67 93
Character o t -t -o t s i n t h e n e x t c h a p o t
Milliseconds 25 90 227 125 180 101 55 104 71 54 72 135 0 158 121 30 152 173 120 105 139 102 106 0 391
Character -t -o t e r , b n u t - -t -u -n y u t f -f - -t -u
Milliseconds 125 147 63 123 58 59 126 89 4 62 4 90 150 124 135 100 239 0 42 55 108 132 118 125 110
Character u t -t -u -y u t f o r n o w w e u s e a n
Milliseconds 371 157 203 119 123 223 60 75 79 143 30 112 49 73 98 98 178 35 84 259 71 31 68 78 111
Character i n f o r m a l a p p o -o r o a c h s o y
Milliseconds 157 148 59 122 143 56 140 79 130 94 95 184 112 177 339 181 147 123 60 556 107 99 70 88 95
Character o u w i l l s e e h o w t h e y l e a d
Milliseconds 92 56 98 68 70 138 121 24 87 51 135 88 250 94 24 63 83 102 53 102 33 182 57 56 58
Character n a t u r a l l y t o t h e m a j n i -
Milliseconds 69 59 111 52 125 106 150 16 108 99 85 129 27 79 60 76 62 77 101 22 149 51 0 32 234
Character -i -n -j i n i d e a o f t h i s c h a p r t
Milliseconds 129 105 179 211 52 64 140 85 79 37 45 93 93 68 90 94 413 87 28 111 73 99 111 133 172
Character -t -r t e r , t h e l i m i t -t -i - i t . T
Milliseconds 219 122 87 128 33 52 111 86 86 77 41 95 164 40 61 56 133 200 136 119 192 82 130 108 116
Character h e i d e a o f a m i -i -m l i m i t p l
Milliseconds 127 71 60 110 37 77 38 50 53 78 84 31 129 92 72 299 126 268 169 162 261 112 93 93 163
Character a y s a f o u n d a t i o n a l r o l e t
Milliseconds 143 97 107 55 101 160 106 73 194 33 70 112 70 59 138 64 151 185 4 147 88 162 71 50 76
Character h o u -u -o r o u g h o u t c a l c u l u s .
Milliseconds 108 138 178 203 118 275 104 178 65 89 152 61 47 70 169 93 33 201 90 239 184 77 124
WPM Timing
Seconds WPM
2.67 17.94
5.35 35.89
8.02 35.89
10.7 41.5
13.37 57.42
16.05 52.34
18.72 57.68
21.4 64.49
24.07 70.78
26.75 73.12
29.42 70.96
32.1 69.53
34.77 73.16
37.45 73.38
40.12 71.18
42.8 70.66
45.47 69.93
48.15 69.04
50.82 71.07
53.5 72.45
56.17 71.99
58.85 71.57
61.52 72.95
64.2 72.34
66.87 75.01
69.55 76.44
72.22 76.6
74.9 75.78
77.57 75.03
80.25 74.62
82.92 76.12
85.6 75.42
88.27 75.58
90.95 75.87
93.62 74.85
96.3 75.27
98.97 74.93
101.65 74.73
104.32 74.65
107 75.03
109.67 73.75
112.35 74.45
115.02 74.28
117.7 75.75
120.37 76.06
123.05 76.46
125.72 76.93
128.4 76.92
131.07 77.45
133.75 77.52