Simi (simandrei)

Race #634

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Official speed 84.04 wpm (123.37 seconds elapsed during race)
Without ending ping 84.22 wpm (262 ms delay sending score to TypeRacer’s server)
Timerless 84.53 wpm (448 ms elapsed before first character typed; 122.66 seconds elapsed during race)
Timerless minus one 84.43 wpm, ignoring the first character typed
Race Start December 4, 2024 10:14:40am UTC
Race Finish December 4, 2024 10:16:44am UTC
Outcome No win (2 of 3)
Opponents 1. mfahrim (100.78 wpm)
Accuracy 96.5%
Points 226.90
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 quanititity irs realtedlaelated to a change in another. How does the speed of a falling object change as a function of time? How does the leve of wl of water in a barrel change a ss a function foof the amount of liquid poured into it? We see change uccoccurring in nearly weverything we observe ni in the world and universe, and pwoerowerful modrern instruments help us see more and more. I n this ectsection we introduce the idead os of average and tinstanteanoeous rateds 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 hyttthese important concepts in the next schapted, bur, but for now we use an informal approach so you will see how they lead naturally to the main idea of thi schs cahapted, thr, the lmimimit. The idea of a mlimit palyslays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 448 105 135 76 125 194 164 120 55 118 95 63 108 47 127 68 138 131 179 117 71 95 117 109 158
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 166 102 109 147 113 119 96 108 145 73 56 66 125 103 124 75 76 113 59 149 121 80 94 56 92
Character c h a n g e i n o n e q u a n i t -t -i i -i t
Milliseconds 99 55 65 103 63 147 40 127 62 134 139 106 114 64 117 82 160 80 132 99 228 138 304 342 84
Character i t y i r -r s r e a l t e d -d -e -a -l -t -e l a -a
Milliseconds 103 91 206 134 109 113 261 86 98 122 62 100 99 67 58 158 434 333 0 0 0 0 132 219 138
Character -l e l a t e d t o a c h a n g e i n a n
Milliseconds 160 193 149 67 78 64 154 96 102 68 163 66 124 83 103 74 134 38 334 119 111 36 156 74 82
Character o t h e r . H o w d o e s t h e s p e e d
Milliseconds 169 148 425 95 113 153 121 141 162 90 88 120 105 76 163 80 127 76 102 106 323 59 160 170 103
Character o f a f a l l i n g o b j e c t c h a n
Milliseconds 91 127 28 105 77 83 103 110 86 137 136 78 276 359 202 130 101 104 97 162 68 165 36 284 117
Character g e a s a f u n c t i o n o f t i m e ?
Milliseconds 134 81 103 104 130 0 293 105 128 110 59 69 167 49 142 144 144 149 159 156 107 131 74 43 204
Character H o w d o e s t h e l e v e o f w -w -
Milliseconds 183 127 155 99 86 135 93 56 169 149 132 106 92 83 121 66 135 82 92 103 68 94 76 228 138
Character -f -o - l o f w a t e r i n a b a r r e l
Milliseconds 116 136 277 204 153 117 79 95 89 80 89 81 111 61 111 37 143 59 109 17 148 84 134 147 89
Character c h a n g e a s -s - s a f u n c t i o n
Milliseconds 300 116 95 71 105 65 76 51 164 99 106 264 150 91 826 77 271 242 108 65 71 240 41 136 119
Character f o -o -f o f t h e a m o u n t o f l i q
Milliseconds 145 149 60 239 95 166 94 113 86 73 116 65 146 84 96 206 82 153 86 131 80 87 158 139 81
Character u i d p o u r e d i n t o i t ? W e s e
Milliseconds 98 149 87 117 149 153 185 64 112 139 80 119 38 96 72 160 96 73 180 174 116 149 96 84 171
Character e c h a n g e u c c -c -c -u o c c u r r i n g
Milliseconds 157 73 130 41 156 100 57 66 80 130 83 160 324 162 106 156 85 142 91 114 520 76 81 90 93
Character i n n e a r l y w -w e v e r y t h i n g w e
Milliseconds 103 54 168 146 40 63 98 140 81 108 141 341 22 118 78 122 226 208 61 92 95 102 78 86 165
Character o b s e r v e n i - -i -n i n t h e w o r
Milliseconds 68 159 0 145 149 72 165 82 60 138 0 212 306 276 192 200 67 136 78 86 132 70 144 103 91
Character l d a n d u n i v e r s e , a n d p w o e
Milliseconds 136 152 322 80 87 95 82 121 66 128 123 46 148 90 178 80 198 86 89 101 50 128 177 0 176
Character r -r -e -o -w o w e r f u l m o d r -r e r n i n s
Milliseconds 87 196 139 128 381 152 38 180 68 181 46 186 156 127 52 14 168 234 102 83 71 158 102 59 13
Character t r u m e n t s h e l p u s s e e m o r e
Milliseconds 110 71 32 130 86 151 49 164 70 200 88 110 100 302 161 99 122 82 168 166 57 130 62 39 48
Character a n d m o r e . I - n t h i s e c t -t
Milliseconds 136 36 76 106 62 147 58 75 49 77 338 268 209 401 157 149 73 86 49 145 43 149 133 175 217
Character -c -e s e c t i o n w e i n t r o d u c e t h
Milliseconds 129 120 57 176 83 164 37 133 119 153 45 230 286 118 68 24 58 151 118 135 83 53 97 184 63
Character e i d e a d o -o - -d s o f a v e r a g e
Milliseconds 322 131 145 54 72 75 269 253 134 207 137 126 133 123 92 217 110 64 134 48 161 99 127 54 129
Character a n d t -t i n s t a n t e -e a n o -o e o u s r
Milliseconds 92 99 105 103 134 255 148 64 17 109 79 104 127 73 587 70 118 131 256 119 80 154 97 94 67
Character a t e d -d s o f c h a n g e , a n d s h o
Milliseconds 78 113 65 159 250 88 101 117 98 83 130 51 101 158 32 95 91 147 52 117 77 113 143 59 140
Character w t h a t t h e y a r e c l o s e l y r
Milliseconds 83 110 72 93 51 87 89 265 100 96 82 72 85 83 63 68 114 85 78 52 147 101 107 77 147
Character e l a t e d t o t h e s l o p e o f a
Milliseconds 70 55 128 123 24 138 68 231 57 341 123 104 79 104 121 80 42 153 95 88 120 76 83 119 65
Character c u r v e a t a p o i n t P o n t h e
Milliseconds 124 125 58 151 71 100 108 96 104 95 121 412 185 168 85 99 130 189 191 140 123 161 114 81 57
Character c u r v e . W e g i v e p r e c i s e d
Milliseconds 138 71 102 84 210 10 79 191 164 148 100 151 88 131 76 44 154 38 87 286 111 84 163 100 103
Character e v e l o p m e n t s o f h y t -t -y t -t -h t h
Milliseconds 81 187 64 90 103 163 180 72 143 48 117 57 130 80 90 262 17 17 280 111 199 113 318 165 100
Character e s e i m p o r t a n t c o n c e p t s i n
Milliseconds 86 151 179 81 132 73 148 146 54 167 97 99 65 116 105 50 68 93 52 75 157 160 65 132 75
Character t h e n e x t s -s c h a p t e d , b u -u -b
Milliseconds 134 122 113 133 99 125 34 182 177 556 117 291 106 80 141 127 65 75 135 55 158 36 123 271 146
Character - -, -d r , b u t f o r n o w w e u s e
Milliseconds 111 140 252 156 94 151 84 87 84 129 120 63 132 48 118 158 108 119 202 161 84 133 65 145 108
Character a n i n f o r m a l a p p r o a c h s o y
Milliseconds 124 95 307 215 65 84 108 89 97 100 115 156 64 102 135 79 116 48 133 72 180 298 85 151 87
Character o u w i l l s e e h o w t h e y l e a d
Milliseconds 77 159 134 138 0 183 123 167 55 160 154 67 129 73 156 84 89 89 67 197 117 103 43 89 332
Character n a t u r a l l y t o t h e m a i n i d
Milliseconds 113 178 0 170 136 154 111 97 133 94 125 200 118 163 59 96 81 71 149 65 82 66 153 269 78
Character e a o f t h i s c h -h -c -s - s c a -a h a p
Milliseconds 69 111 78 126 84 100 214 48 105 154 13 180 73 277 139 126 110 201 141 238 99 281 189 46 146
Character t e d , t h -h -t - -, -d r , t h e l m i m -m -i
Milliseconds 27 67 140 54 152 46 106 266 127 125 126 132 82 105 161 69 107 82 82 192 209 59 137 316 141
Character -m i m i t . T h e i d e a o f a m -m l i
Milliseconds 127 173 76 68 96 111 237 318 111 91 84 117 51 69 76 73 114 55 100 48 101 166 259 143 130
Character m i t p a l y s -s -y -l -a l a y s a f o u n d
Milliseconds 90 93 82 99 120 56 8 132 151 218 126 128 111 263 62 140 143 126 104 144 80 114 578 82 73
Character a t i o n a l r o l e t h r o u g h o u t c
Milliseconds 76 150 73 160 123 77 104 161 84 58 127 90 115 75 87 118 85 171 150 143 197 182 77 96 111
Character a l c u l u s .
Milliseconds 57 86 80 102 164 163 97 74
WPM Timing
Seconds WPM
2.47 87.54
4.93 99.7
7.4 107
9.87 89.97
12.34 75.87
14.8 81.87
17.27 82.68
19.74 84.5
22.21 84.84
24.67 86.08
27.14 85.77
29.61 85.52
32.08 84.55
34.54 82.68
37.01 83.65
39.48 84.81
41.95 83.82
44.41 84.3
46.88 84.73
49.35 83.65
51.82 84.53
54.28 82.68
56.75 83.95
59.22 84.91
61.68 83.26
64.15 83.8
66.62 82.5
69.09 83.2
71.55 82.51
74.02 83.33
76.49 84.72
78.96 85.41
81.42 85.48
83.89 85.97
86.36 86.57
88.83 85.52
91.29 86.36
93.76 85.75
96.23 84.92
98.7 85.11
101.16 85.41
103.63 85.8
106.1 86.3
108.57 85.77
111.03 84.73
113.5 83.95
115.97 84.13
118.44 83.59
120.9 83.87
123.37 84.04