DARUS (darus)

Race #168

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Official speed 78.23 wpm (132.53 seconds elapsed during race)
Without ending ping 78.30 wpm (120 ms delay sending score to TypeRacer’s server)
Timerless 78.49 wpm (312 ms elapsed before first character typed; 132.10 seconds elapsed during race)
Timerless minus one 78.40 wpm, ignoring the first character typed
Race Start November 2, 2023 4:37:40pm UTC
Race Finish November 2, 2023 4:39:53pm UTC
Outcome No win (4 of 5)
Opponents 1. racen55 (104.90 wpm)
2. derpeus (84.07 wpm)
3. raket124 (80.55 wpm)
Accuracy 96.0%
Points 211.22
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 change in another. How does the speed of a falling object change as a function of time? How does the level of water ina b a barelrrel change as a function of the maoamount of luiquid poured into it? We see change reoccurdring in nearly everything we iobserve in the world and universe, and powerful modenrn intrusstruments helps us see more and more. IN tn this section swe introduce th ee ideas o avf average anaannd instatnntanoeous rates of change., and show that tehyehhey are closely crealtelated to the slope of a curve at a oipiooint PP on the curve. We give precise development s of these ipmportat nt concepts in the enext charpter, but for now we use an informal approach so you will see how they ealead anaturally to the main idea of this chapter, the limit. The idea of a liit pimit plays 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 312 150 314 102 155 213 171 149 69 168 76 495 96 110 162 40 135 143 171 143 71 145 54 55 121
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 256 80 164 78 85 139 90 54 220 58 75 39 180 86 185 109 92 106 75 132 167 84 88 309 398
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 157 94 26 154 120 60 80 102 65 117 147 73 110 91 168 101 139 122 235 157 74 188 62 169 218
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 90 108 70 174 122 139 48 164 53 184 60 117 68 137 121 127 91 127 145 53 78 87 67 142 115
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 133 193 85 140 67 57 172 169 186 192 102 103 108 120 15 382 115 144 74 74 280 117 102 104 127
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 149 36 153 84 88 51 292 177 69 97 135 165 62 89 36 175 164 141 40 190 197 84 161 84 159
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 105 195 56 109 127 65 96 194 67 323 89 115 66 227 11 152 92 171 157 46 91 115 54 111 44
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 271 231 209 193 98 166 144 142 77 63 76 136 53 131 59 243 75 115 45 77 161 140 52 108 151
Character a t e r i n a b -b - - -a a b a r e l -l r
Milliseconds 62 158 92 71 43 135 76 159 0 105 210 188 113 104 94 270 97 112 224 78 99 289 174 202 346
Character -r -e r e l c h a n g e a s a f u n c t i o
Milliseconds 81 163 139 31 77 203 158 63 68 106 95 52 84 107 64 42 145 126 185 83 100 89 217 28 162
Character n o f t h e m a o -o -a -m a m o u n t o f
Milliseconds 115 138 118 81 38 135 62 18 160 201 44 137 247 134 100 53 190 125 149 86 120 103 155 75 97
Character l u -u i q u i d p o u r e d i n t o i t ?
Milliseconds 170 337 335 198 128 143 166 75 113 226 141 298 105 65 147 43 142 55 72 116 172 114 71 235 236
Character W e s e e c h a n g e r e -e -r o c c u r d -d
Milliseconds 97 186 135 100 119 102 131 217 108 104 81 148 84 128 345 135 181 104 189 133 151 138 127 160 350
Character r i n g i n n e a r l y e v e r y t h i n g
Milliseconds 366 96 116 78 86 150 50 131 303 178 39 183 92 137 54 179 195 98 56 241 223 91 145 109 84
Character w e i -i o b s e r v e i n t h e w o r l
Milliseconds 98 182 58 98 173 377 225 157 98 64 238 167 91 84 140 65 130 62 130 40 116 127 53 152 31
Character d a n d u n i v e r s e , a n d p o w e r
Milliseconds 125 62 155 75 188 15 171 86 122 368 163 66 151 84 82 162 59 118 53 81 157 140 51 51 182
Character f u l m o d e n -n r n i n t r u s -s -u -r -t s t
Milliseconds 79 71 196 131 205 123 78 75 156 303 121 91 157 116 56 205 49 156 136 178 114 111 109 39 181
Character r u m e n t s h e l p s -s u s s e e m o r
Milliseconds 55 118 87 116 90 106 58 93 198 133 136 227 144 269 201 150 78 63 106 192 84 100 158 61 47
Character e a n d m o r e . I N t -t - -N n t h i s
Milliseconds 44 120 41 92 106 62 176 107 52 51 143 195 226 51 208 101 159 109 236 203 143 141 91 156 50
Character s e c t i o n s -s w e i n t r o d u c e t
Milliseconds 120 117 35 164 194 45 133 66 145 143 275 92 48 130 230 61 90 34 162 87 126 64 170 59 173
Character h e -e - e i d e a s o a v -v -a - f a v e
Milliseconds 71 215 19 299 113 125 140 145 48 57 71 197 123 152 485 91 166 222 140 128 320 115 106 158 132
Character r a g e a n a -a -n a n -n -a n d i n s t a t n -n
Milliseconds 38 151 91 89 77 250 30 39 222 115 69 140 467 207 187 80 96 121 73 29 184 196 269 54 295
Character -t n t a n o -o e o u s r a t e s o f c h a n
Milliseconds 106 170 51 316 127 160 441 73 135 188 107 55 155 60 222 49 186 44 119 96 67 119 68 137 162
Character g e . -. , a n d s h o w t h a t t e h y -y
Milliseconds 166 45 138 274 211 203 143 201 103 162 449 257 159 75 96 83 89 119 14 126 10 173 53 207 261
Character -h -e e h -h -e h e y a r e c l o s e l y c -c r
Milliseconds 104 113 260 21 270 107 163 79 118 173 59 90 65 76 476 63 124 75 19 162 136 76 219 297 84
Character e a l t e -e -t -l -a l a t e d t o t h e s l o
Milliseconds 26 141 0 260 46 197 120 134 99 214 57 147 57 174 93 153 32 133 51 105 79 78 144 59 159
Character p e o f a c u r v e a t a o i -i -o p i
Milliseconds 124 132 97 223 105 86 65 50 191 137 171 180 73 101 146 144 81 388 116 306 226 222 116 321 328
Character o -o -i o i n t P P - -P o n t h e c u r v
Milliseconds 12 407 109 190 173 130 125 102 270 592 187 258 121 188 131 83 126 122 97 123 77 110 94 94 209
Character e . W e g i v e p r e c i s e d e v e l o
Milliseconds 52 165 225 413 239 267 299 115 114 75 109 298 68 42 278 81 129 71 117 160 66 220 58 111 177
Character p m e n t - s o f t h e s e i p -p m p o r
Milliseconds 129 79 144 100 101 206 309 138 155 158 72 107 124 28 394 125 73 146 162 242 460 218 480 203 53
Character t a t - -t n t c o n c e p t s i n t h e
Milliseconds 67 146 187 137 309 105 269 72 94 118 88 80 72 105 118 89 90 19 132 71 128 117 56 85 58
Character e -e n e x t c h a r -r p t e r , b u t f o r
Milliseconds 234 375 159 59 183 177 76 160 85 123 92 291 184 119 76 92 115 215 172 171 74 118 130 96 103
Character n o w w e u s e a n i n f o r m a l a
Milliseconds 72 172 89 144 102 352 43 96 124 64 32 83 108 97 117 162 62 178 111 105 85 93 89 139 84
Character p p r o a c h s o y o u w i l l s e e h
Milliseconds 107 113 235 118 80 203 127 186 194 64 124 174 28 163 138 144 22 184 93 164 177 113 173 128 424
Character o w t h e y e a -a -e l e a d a -a n a t u r a
Milliseconds 179 39 119 91 77 40 178 171 112 84 247 116 296 13 111 88 106 182 354 181 46 75 104 94 74
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 82 121 99 84 167 24 198 61 63 84 58 159 86 52 67 115 147 40 44 72 76 131 86 103 150
Character h i s c h a p t e r , t h e l i m i t . T
Milliseconds 55 158 53 66 148 108 104 130 90 116 63 56 184 109 71 102 58 153 176 108 137 106 166 270 66
Character h e i d e a o f a l i i t p -p - -t -i -i i
Milliseconds 205 86 105 157 83 76 47 96 135 86 66 150 76 160 176 216 77 86 155 217 111 121 81 130 547
Character m i t p l a y s a f o u n d a t i o n a l
Milliseconds 126 122 54 125 140 111 40 102 108 118 123 56 308 119 171 67 123 131 178 42 120 233 98 131 170
Character r o l e t h r o u g h o u t c a l c u l u s .
Milliseconds 134 76 115 108 42 251 59 145 79 191 114 111 183 145 74 141 142 77 57 128 89 161 168 33 162
WPM Timing
Seconds WPM
2.65 63.38
5.3 83.75
7.95 86.02
10.6 88.28
13.25 92.35
15.9 91.3
18.55 93.13
21.21 93.37
23.86 93.06
26.51 93.71
29.16 87.66
31.81 89.41
34.46 88.45
37.11 86.34
39.76 87.22
42.41 84.04
45.06 84.42
47.71 83.75
50.36 85.06
53.01 85.56
55.66 84.51
58.31 84.58
60.96 83.65
63.62 84.13
66.27 83.3
68.92 82.01
71.57 80.32
74.22 79.87
76.87 79.46
79.52 78.47
82.17 78.57
84.82 78.24
87.47 78.47
90.12 76.83
92.77 76.19
95.42 75.83
98.07 76.11
100.72 75.53
103.38 75.22
106.03 75.49
108.68 75.64
111.33 76.32
113.98 76.65
116.63 76.45
119.28 76.96
121.93 77.95
124.58 78.31
127.23 77.53
129.88 77.89
132.53 78.23