Owen (infinitytrinity)

Race #574

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Official speed 86.16 wpm (120.33 seconds elapsed during race)
Without ending ping 86.36 wpm (273 ms delay sending score to TypeRacer’s server)
Timerless 86.56 wpm (276 ms elapsed before first character typed; 119.79 seconds elapsed during race)
Timerless minus one 86.45 wpm, ignoring the first character typed
Race Start June 27, 2023 5:09:54am UTC
Race Finish June 27, 2023 5:11:55am UTC
Outcome No win (3 of 4)
Opponents 1. alphawoman (95.21 wpm)
Accuracy 95.9%
Points 232.64
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 Cacllculus is a tool that helps us understand how a change in one queantity is related to a change in another. How does the sppeeed of all falling object change as a function of time/? How does the level of water in a breelarrel change as a function of the amount of liuqquid pourred into it? We se chae change occuring iring in realnreearly everyhtingthing we obserceve in the world and univers,e, and powerful modern instruments help us see more and more. In this essection we intrioduce the ideads of average and instantanes=ooiuus rates of change, and show that they are closely related to hte lthe slope of a curve at a poiunnt P on the curve. We give precciise develpomopemnments of these important concepts in the next chaperter, but for now we use an informal approcaach so you will see how they lead naturally to the main idea of this chapoteter, tjhe he limit. the The idea of a mlimit plays a foundational role thougroughout calculus.
Timing
Character C a c l -l -c l c u l u s i s a t o o l t h
Milliseconds 276 186 166 105 403 110 208 130 157 199 204 88 75 86 119 101 134 40 130 63 137 128 67 129 65
Character a t h e l p s u s u n d e r s t a n d h o
Milliseconds 135 132 81 223 197 80 65 115 317 140 123 117 189 159 64 165 58 157 83 141 76 73 48 82 132
Character w a c h a n g e i n o n e q u e -e a n t
Milliseconds 64 86 134 48 155 76 110 109 143 145 81 77 138 78 120 128 77 77 146 117 127 413 80 126 93
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 100 78 146 88 115 85 69 155 82 85 110 111 104 141 39 176 84 75 135 64 143 75 115 117 69
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 120 27 65 125 58 126 72 136 90 113 48 54 118 115 166 129 59 94 134 104 61 108 73 109 25
Character e s p p e -e -p e e d o f a l l -l -l f a l l
Milliseconds 82 73 106 121 190 110 310 99 191 240 145 57 101 111 26 174 79 157 266 120 127 160 198 139 156
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 186 117 68 31 127 124 113 97 175 181 68 144 108 61 105 64 116 209 188 79 68 110 73 121 97
Character n c t i o n o f t i m e / -/ ? H o w d o e
Milliseconds 149 87 184 35 58 133 33 120 68 35 122 24 135 60 189 369 222 274 193 145 98 93 122 109 64
Character s t h e l e v e l o f w a t e r i n a
Milliseconds 129 56 117 27 122 36 111 68 121 128 43 129 81 57 81 137 179 124 128 58 45 48 112 67 84
Character b r e e l -l -e -e -r a r r e l c h a n g e a s
Milliseconds 81 106 177 83 153 101 242 120 124 277 103 100 487 121 122 96 184 76 77 89 60 103 63 132 41
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 64 106 72 172 104 154 102 177 43 58 154 66 99 89 16 129 51 94 35 169 42 127 116 173 74
Character o f l i u q -q -u q u i d p o u r r -r e d i
Milliseconds 48 123 90 81 98 203 5 84 326 145 160 107 179 110 109 177 136 199 127 112 425 92 141 80 91
Character n t o i t ? W e s e c h a -a -h -c - e c h
Milliseconds 112 72 88 134 297 93 205 112 279 66 143 168 157 130 168 80 57 238 120 141 87 96 139 143 96
Character a n g e o c c u r i n g i -i - -g -n -i r i n g
Milliseconds 48 109 40 128 40 57 102 149 102 100 64 87 61 47 69 259 120 136 125 103 108 93 79 74 54
Character i n r e a l -l -a -e -r n r e -e -r e a r l y e v e
Milliseconds 115 88 112 171 71 124 47 270 110 126 103 165 43 83 185 133 327 162 91 105 107 80 105 141 111
Character r y h t i n g -g -n -i -t -h t h i n g w e o b s e
Milliseconds 46 92 120 28 59 125 31 214 116 116 132 95 75 122 41 125 31 77 120 55 77 218 140 207 111
Character r c e -e -c v e i n t h e w o r l d a n d
Milliseconds 92 240 86 297 112 109 144 77 77 100 42 68 72 36 76 77 63 81 68 86 47 96 31 99 47
Character u n i v e r s , -, e , a n d p o w e r f u l
Milliseconds 30 136 131 39 204 58 149 68 374 91 168 87 97 114 52 64 272 158 85 18 73 153 22 186 100
Character m o d e r n i n s t r u m e n t s h e l p u
Milliseconds 174 141 68 165 41 77 108 98 108 52 153 153 76 166 64 102 76 116 73 74 114 167 186 133 164
Character s s e e m o r e a n d m o r e . I n t
Milliseconds 85 119 255 53 232 172 88 118 19 62 66 137 39 118 48 55 113 18 60 126 102 166 100 54 126
Character h i s e s -s -e s e c t i o n w e i n t r i -i
Milliseconds 35 60 75 64 151 182 235 136 183 54 224 206 47 41 150 58 109 50 64 132 112 68 141 43 486
Character o d u c e t h e i d e a d -d s o f a v e r
Milliseconds 176 131 142 256 119 64 110 20 75 21 98 154 174 161 273 363 63 114 57 85 73 151 137 152 54
Character a g e a n d i n s t a n t a n e s = o -o -= -s o
Milliseconds 170 153 211 110 109 85 81 43 65 92 123 140 128 104 107 174 209 101 162 305 172 246 136 290 171
Character i u -u -i u s r a t e s o f c h a n g e , a
Milliseconds 0 137 259 140 217 132 118 134 132 124 112 100 76 82 86 29 252 92 36 126 54 126 68 120 65
Character n d s h o w t h a t t h e y a r e c l o
Milliseconds 88 69 51 110 26 120 90 118 134 68 118 99 69 134 22 115 96 51 308 136 95 77 156 63 152
Character s e l y r e l a t e d t o h t e l -l - -e -t
Milliseconds 37 45 117 108 67 204 91 147 85 116 116 139 49 105 31 100 90 0 85 114 99 300 132 111 104
Character -h t h e s l o p e o f a c u r v e a t
Milliseconds 333 135 93 56 81 118 22 182 70 69 56 82 69 56 106 56 159 137 90 158 152 85 226 136 118
Character a p o i u n -n -u n t P o n t h e c u r v
Milliseconds 135 85 110 95 203 6 144 262 136 284 97 210 226 117 82 116 34 121 35 110 36 155 80 102 145
Character e . W e g i v e p r e c c i -i -c i s e d e
Milliseconds 128 76 107 218 62 81 209 96 90 115 69 49 81 83 141 139 205 217 124 160 94 49 127 262 186
Character v e l p o m -m -o -p o p e m n -n -m -e m e n t s o f
Milliseconds 158 132 51 183 0 202 254 120 124 155 87 119 64 161 216 133 116 184 94 93 60 128 102 98 73
Character t h e s e i m p o r t a n t c o n c e p t s
Milliseconds 40 192 72 130 141 66 81 284 225 174 77 69 145 120 68 114 100 207 115 110 81 140 100 136 128
Character i n t h e n e x t c h a p e r -r -e t e r ,
Milliseconds 73 73 88 58 80 68 65 35 87 84 138 359 102 159 100 57 90 133 62 318 124 125 161 54 209
Character b u t f o r n o w w e u s e a n i n
Milliseconds 253 139 199 118 77 135 83 74 81 45 123 26 87 146 13 188 152 103 39 174 209 84 87 111 117
Character f o r m a l a p p r o c a -a -c a c h s o y o
Milliseconds 56 179 118 118 98 100 88 163 125 170 86 84 107 181 239 133 83 83 92 109 134 51 92 102 58
Character u w i l l s e e h o w t h e y l e a d
Milliseconds 87 18 134 51 153 112 79 126 87 161 123 193 141 52 81 84 51 85 93 33 195 98 134 160 206
Character n a t u r a l l y t o t h e m a i n i d e
Milliseconds 151 164 136 84 90 124 72 137 68 85 250 93 108 126 23 126 52 37 176 63 88 79 144 65 161
Character a o f t h i s c h a p o t e -e -t -o t e r ,
Milliseconds 145 72 115 82 51 143 76 45 69 135 147 83 85 81 4 77 129 226 129 111 117 132 62 69 141
Character t j h e - -e -h -j h e l i m i t . t h e - -e
Milliseconds 117 35 0 89 52 250 132 112 103 207 104 56 74 202 166 161 90 122 112 192 39 156 80 216 125
Character -h -t T h e i d e a o f a m -m l i m i t p
Milliseconds 111 97 144 97 81 81 86 81 157 137 76 66 94 56 109 52 120 423 160 185 166 132 82 76 103
Character l a y s a f o u n d a t i o n a l r o l e
Milliseconds 66 53 137 136 80 499 118 320 88 104 157 49 140 107 35 54 141 81 78 77 118 67 162 73 106
Character t h o u g -g -u -o r o u g h o u t c a l c u l u s
Milliseconds 134 39 140 116 135 210 124 116 96 303 145 123 68 239 129 85 98 151 124 88 90 112 199 186 107
Character .
Milliseconds 84
WPM Timing
Seconds WPM
2.41 49.86
4.81 72.3
7.22 84.76
9.63 86.01
12.03 91.74
14.44 97.23
16.85 93.31
19.25 91
21.66 93.07
24.07 91.74
26.47 95.64
28.88 90.17
31.29 93.2
33.69 92.24
36.1 91.08
38.51 88.19
40.91 87.11
43.32 84.76
45.73 83.45
48.13 83.02
50.54 85
52.95 85.9
55.35 86.93
57.76 88.3
60.17 88.15
62.57 87.64
64.98 87.53
67.39 86.19
69.79 85.45
72.2 87.09
74.61 87.82
77.01 86.95
79.42 87.03
81.83 86.96
84.23 86.9
86.64 85.59
89.05 85.44
91.45 86.08
93.86 85.79
96.27 86.26
98.67 86.22
101.08 86.66
103.49 87.2
105.89 88.05
108.3 87.31
110.71 86.5
113.11 86.36
115.52 86.32
117.93 86.19
120.33 86.16