Textrovert (zasekle)

Race #2004

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Official speed 80.51 wpm (128.78 seconds elapsed during race)
Without ending ping 80.68 wpm (265 ms delay sending score to TypeRacer’s server)
Timerless 80.82 wpm (236 ms elapsed before first character typed; 128.28 seconds elapsed during race)
Timerless minus one 80.73 wpm, ignoring the first character typed
Race Start November 30, 2023 3:40:17pm UTC
Race Finish November 30, 2023 3:42:25pm UTC
Outcome No win (2 of 3)
Opponents 3. totti1337 (77.31 wpm)
Accuracy 96.8%
Points 217.37
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 cahhange in one quanittitiy is errelated to a cahnhange in antootehher. How does the speed of a falling object change as a function of time? How does the level of water in a vbabarrewll change as afu function of the amount of liquid puoured into it? We see changnge occurring in nearly everything we observer in the wroorld and inuniverse, adnnd powerful modern instrucments help us see more and more. In this section we sintroduce the ideas of average an dd instantaneous rates of change, and show taht hat they are closely related to the slope of a curve at a point P on the curve. We give precise developmneneents of theese important concepts oin the cnext chapter, but for now we use an informal approach so you will see how they lead natualrrally to the mmain idea of this chapter, the ilimit. The eidea of a limit plays a foundational orole 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 236 168 131 218 150 146 210 213 148 86 43 107 106 130 49 73 162 208 155 74 87 60 84 113 137
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 105 103 181 87 102 84 100 116 80 178 102 165 86 115 114 69 183 44 161 161 148 44 80 105 109
Character c a h -h -a h a n g e i n o n e q u a n i t -t
Milliseconds 106 124 11 468 182 201 106 153 102 129 100 73 160 57 120 156 48 62 182 112 156 121 220 92 184
Character -i t i t i -i y i s e r -r -e r e l a t e d t o
Milliseconds 159 125 118 134 132 278 178 196 185 153 67 153 0 463 162 47 76 119 58 169 147 161 84 100 61
Character a c a h n -n -h -a h a n g e i n a n t o -o -t
Milliseconds 56 127 176 145 134 128 213 181 147 165 158 62 165 84 122 156 76 157 24 118 91 254 118 315 163
Character o t e h -h -e h e r . H o w d o e s t h e s
Milliseconds 118 225 199 71 312 148 120 91 53 179 174 224 151 43 109 136 86 90 129 54 127 87 58 81 133
Character p e e d o f a f a l l i n g o b j e c t
Milliseconds 139 67 226 234 70 91 122 143 85 120 148 56 157 159 128 177 70 80 98 196 98 115 143 184 103
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 209 150 67 215 73 151 90 156 97 92 92 104 125 92 192 30 186 12 145 152 47 163 54 112 79
Character i m e ? H o w d o e s t h e l e v e l o
Milliseconds 74 159 63 181 91 138 234 72 209 200 122 77 124 54 104 96 40 91 103 45 171 107 148 72 135
Character f w a t e r i n a v b a -a -b -v b a r r e w
Milliseconds 70 84 232 128 55 166 82 108 149 143 69 55 141 112 3 103 214 196 136 58 82 124 164 256 12
Character l -l -w l c h a n g e a s a f u -u -f f u n c
Milliseconds 53 255 176 154 90 218 105 95 133 81 140 76 186 127 71 126 196 165 354 171 116 196 98 182 45
Character t i o n o f t h e a m o u n t o f l i q
Milliseconds 176 21 140 148 78 118 56 124 76 76 106 90 117 129 126 170 208 54 91 100 71 86 100 170 81
Character u i d p u -u o u r e d i n t o i t ? W e
Milliseconds 117 200 228 116 192 189 327 156 161 185 181 183 79 180 173 100 97 126 119 78 220 116 138 203 163
Character s e e c h a n -n g -g n g e o c c u r r i n g
Milliseconds 260 152 130 94 220 130 0 357 233 192 397 141 75 139 251 193 138 150 90 94 146 79 187 19 115
Character i n n e a r l y e v e r y t h i n g w e o
Milliseconds 79 157 86 116 30 118 86 80 168 136 90 186 100 72 131 86 123 154 144 60 74 126 91 116 183
Character b s e r v e r - -r i n t h e w r o -o -r o r
Milliseconds 129 211 323 221 229 116 93 171 257 163 232 129 162 61 91 80 8 186 422 136 62 274 144 112 74
Character l d a n d i n -n -i u n i v e r s e , a d n -n
Milliseconds 181 96 106 77 109 55 114 113 176 238 165 124 178 152 34 133 100 146 97 168 135 112 121 16 385
Character -d n d p o w e r f u l m o d e r n i n s t r
Milliseconds 157 132 66 82 150 179 69 44 142 269 69 188 117 193 146 67 164 111 164 158 130 176 28 233 207
Character u c -c m e n t s h e l p u s s e e m o r e
Milliseconds 177 124 179 167 60 136 68 157 164 216 81 85 174 177 133 99 104 139 102 164 110 128 156 90 51
Character a n d m o r e . I n t h i s s e c t i o
Milliseconds 118 87 92 74 46 168 153 61 73 118 121 196 194 89 87 84 196 68 96 136 86 194 190 50 151
Character n w e s -s i n t r o d u c e t h e i d e a
Milliseconds 142 74 97 85 97 166 288 159 168 28 161 94 163 150 139 136 185 223 53 119 81 99 66 157 112
Character s o f a v e r a g e a n d -d - d i n s t
Milliseconds 109 120 142 143 116 197 191 148 86 115 117 160 78 133 65 199 9 502 158 96 86 126 171 65 139
Character a n t a n e o u s r a t e s o f c h a n g e
Milliseconds 125 154 150 127 142 211 256 192 158 149 216 112 105 121 167 66 136 63 107 144 99 193 385 104 133
Character , a n d s h o w t a h t - -t -h -a h a t t
Milliseconds 169 107 155 80 57 138 140 68 168 33 142 116 120 25 149 115 170 152 171 104 183 58 96 136 130
Character h e y a r e c l o s e l y r e l a t e d t
Milliseconds 87 101 112 130 54 138 66 144 118 232 184 74 190 177 171 86 160 90 141 118 129 137 168 74 201
Character o t h e s l o p e o f a c u r v e a t
Milliseconds 75 97 104 86 100 84 122 90 180 162 74 212 234 117 110 159 150 178 94 121 223 122 119 133 205
Character a p o i n t P o n t h e c u r v e .
Milliseconds 239 166 148 140 158 174 202 78 92 174 66 158 152 85 94 53 91 66 130 94 108 193 103 123 63
Character W e g i v e p r e c i s e d e v e l o p m n
Milliseconds 195 181 114 161 108 112 152 14 527 87 166 199 135 114 168 122 241 156 145 82 159 189 167 258 236
Character e -e -n n e -e -n e n t s o f t h e e -e s e i m
Milliseconds 106 230 160 150 83 200 146 107 131 111 183 129 119 68 128 80 56 113 115 367 150 91 164 160 160
Character p o r t a n t c o n c e p t s o -o i n t h e
Milliseconds 132 174 51 158 82 187 186 136 292 79 161 118 71 123 135 203 141 147 234 151 167 64 60 93 44
Character c -c n e x t c h a p t e r , b u t f o r
Milliseconds 103 127 192 300 72 195 178 226 210 136 90 186 101 127 139 113 108 198 78 142 110 132 95 85 98
Character n o w w e u s e a n i n f o r m a l a p
Milliseconds 118 172 44 110 123 105 103 404 88 57 131 155 135 109 98 169 39 131 65 114 106 144 110 115 61
Character p r o a c h s o y o u w i l l s e e h o
Milliseconds 168 118 159 94 161 148 84 155 59 109 149 151 52 68 79 90 156 155 27 92 107 165 70 140 162
Character w t h e y l e a d n a t u a l r -r -l -a r a l
Milliseconds 73 55 77 110 77 107 110 164 54 146 87 136 113 111 336 250 140 115 137 127 188 147 40 112 102
Character l y t o t h e m -m m a i n i d e a o f
Milliseconds 139 192 108 177 37 136 129 46 141 86 80 280 487 113 112 148 65 132 61 190 104 111 76 123 104
Character t h i s c h a p t e r , t h e i -i l i m i t
Milliseconds 84 76 182 70 88 237 106 12 227 45 127 118 122 82 92 71 79 84 82 248 153 159 165 175 46
Character . T h e e -e i d e a o f a l i m i t p
Milliseconds 122 54 192 233 144 134 161 220 131 66 158 112 119 121 77 108 57 148 67 137 156 175 81 99 163
Character l a y s a f o u n d a t i o n a l o -o r o l
Milliseconds 171 58 153 95 118 86 135 72 102 72 221 151 115 127 109 136 146 89 120 121 225 291 105 77 167
Character e t h r o u g h o u t c a l c u l u s .
Milliseconds 43 96 120 42 129 38 71 128 109 206 105 167 93 164 103 107 140 136 207 247 312 97
WPM Timing
Seconds WPM
2.58 79.21
5.15 95.51
7.73 86.97
10.3 82.7
12.88 77.34
15.45 75.32
18.03 70.55
20.6 73.96
23.18 76.1
25.76 79.21
28.33 81.32
30.91 81.54
33.48 80.28
36.06 79.54
38.63 81.07
41.21 80.08
43.78 78.93
46.36 78.69
48.94 80.19
51.51 78.74
54.09 77.87
56.66 77.09
59.24 77.38
61.81 77.26
64.39 78.46
66.97 78.67
69.54 79.38
72.12 78.87
74.69 78.72
77.27 79.05
79.84 78.75
82.42 79.06
84.99 79.35
87.57 79.34
90.15 80
92.72 79.85
95.3 78.7
97.87 78.72
100.45 78.73
103.02 78.39
105.6 78.86
108.17 79.43
110.75 80.29
113.33 79.73
115.9 79.62
118.48 80.12
121.05 80
123.63 80.47
126.2 80.73
128.78 80.51