eqq (eqqu)

Race #1112

View Pit Stop page for race #1112 by eqqu — Ghost race

View profile for eqq (eqqu)

Official speed 72.75 wpm (142.52 seconds elapsed during race)
Without ending ping 72.89 wpm (279 ms delay sending score to TypeRacer’s server)
Timerless 73.36 wpm (904 ms elapsed before first character typed; 141.33 seconds elapsed during race)
Timerless minus one 73.27 wpm, ignoring the first character typed
Race Start November 1, 2023 1:40:42am UTC
Race Finish November 1, 2023 1:43:04am UTC
Outcome No win (5 of 5)
Opponents 2. yaboiiiiiiiiiii (87.33 wpm)
3. kaminari_zero (86.33 wpm)
4. jpen369 (83.15 wpm)
Accuracy 95.8%
Points 196.44
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 hepslps us understand thow a change in one quanitittity is realtelated to a change in another. How deos oes the spened of a falling objceect change as a function of time> H? How does the level of water in a barrek chal change as afa fucnnction of the amoun t of liuquid porured into it ? We chansee change occuring ring in nearly everything we observcve iein in the world and universe, and powerful modern intrustruments help us see more and more. In thsi seis section we introduce the ideas of eaverage and instantaneous rate s of change and, and show that they are closely related to the slope of a curve at a Popounint P on the curve. We gice ve prescise developments of these importan cot concepts in the next chpteapter, but for now ewe use an inofformal approach so weyou will see how they lwead naturally to the main idea of this chapter, the limit. The diea idea of a limit plaus a ys 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 904 723 168 250 83 230 222 94 124 121 98 82 105 81 167 97 132 153 114 78 88 101 118 51 141
Character e p s -s -p l p s u s u n d e r s t a n d t -t
Milliseconds 127 211 141 167 370 261 173 95 89 130 114 40 140 146 78 112 105 214 69 114 101 58 147 90 300
Character h o w a c h a n g e i n o n e q u a n i
Milliseconds 196 149 64 107 70 101 103 90 90 95 161 100 76 144 138 75 128 156 82 86 121 118 100 116 127
Character t i t -t -i -t -i t i t y i s r e a l t -t -l -a -e e
Milliseconds 77 117 59 248 133 151 135 112 88 79 156 71 147 110 127 124 101 122 136 224 206 147 155 267 550
Character l a t e d t o a c h a n g e i n a n o t
Milliseconds 109 96 170 49 154 127 107 72 44 323 140 82 108 70 110 172 81 52 142 143 42 53 146 122 61
Character h e r . H o w d e o s - -s -o -e o e s t h e
Milliseconds 130 55 95 177 141 139 143 88 104 72 111 33 157 75 243 137 152 232 171 60 180 0 165 157 73
Character s p e n -n e d o f a f a l l i n g o b j
Milliseconds 77 118 63 234 134 369 101 190 54 128 76 95 104 94 104 179 138 128 184 128 131 65 119 225 484
Character c e -e -c e c t c h a n g e a s a f u n c t
Milliseconds 80 161 254 145 111 185 226 80 448 104 55 118 189 55 99 87 101 113 82 88 107 113 150 92 211
Character i o n o f t i m e > H -H - -> ? H o w d o
Milliseconds 14 159 164 25 140 75 99 118 144 355 94 324 119 177 206 144 237 294 95 168 195 76 90 287 171
Character e s t h e l e v e l o f w a t e r i n
Milliseconds 57 160 94 168 94 67 69 164 38 179 168 56 59 161 49 115 102 166 62 127 107 0 167 160 0
Character a b a r r e k c h a -a -h -c - -k l c h a n g e
Milliseconds 75 97 156 129 195 140 119 146 52 104 115 54 311 136 146 143 240 202 118 73 88 48 131 179 57
Character a s a f -f -a a f u c n -n -c n c t i o n o f
Milliseconds 118 117 72 127 85 501 377 175 498 126 81 121 168 135 186 139 231 110 202 48 158 173 40 278 49
Character t h e a m o u n - t o f l i u -u q u i d
Milliseconds 106 110 78 67 83 95 75 144 182 184 174 239 83 85 134 95 60 164 183 232 210 120 88 167 111
Character p o r -r u r e d i n t o i t - ? W e c
Milliseconds 47 223 141 340 269 173 25 120 180 53 144 115 123 82 20 203 84 538 456 370 210 82 237 110 102
Character h a n -n -a -h -c s e e c h a n g e o c c u r i n
Milliseconds 86 92 99 259 146 136 132 119 178 96 89 91 111 63 126 188 66 88 571 42 160 205 87 131 146
Character g - -g -n -i r i n g i n n e a r l y e v e r
Milliseconds 123 56 167 165 164 144 111 120 141 116 59 126 132 55 167 57 162 128 56 240 59 324 77 97 78
Character y t h i n g w e o b s e r v c -c v e i -i - -e
Milliseconds 97 119 89 123 179 115 85 95 97 91 90 245 136 183 127 187 115 333 87 176 56 131 363 159 262
Character -v e i n - -n -i i n t h e w o r l d a n d
Milliseconds 157 94 211 165 33 244 163 139 99 177 174 59 75 97 59 64 116 57 107 88 127 62 134 57 91
Character u n i v e r s e , a n d p o w e r f u l m
Milliseconds 70 107 142 131 204 58 51 191 142 69 121 84 100 85 47 179 144 139 44 169 205 95 230 99 161
Character o d e r n i n t r u -u -r -t s t r u m e n t s h
Milliseconds 153 221 109 91 183 66 135 144 94 117 142 355 155 166 150 245 98 162 197 69 112 49 159 160 127
Character e l p u s s e e m o r e a n d m o r e .
Milliseconds 108 124 109 109 150 30 132 93 220 201 0 609 178 69 370 98 101 45 135 19 151 107 97 44 147
Character I n t h s i s e -e -s - -i -s i s s e c t i o
Milliseconds 139 144 107 54 77 99 86 32 175 0 175 114 143 304 141 134 166 78 91 91 181 163 231 71 149
Character n w e i n t r o d u c e t h e i d e a s
Milliseconds 175 44 50 109 121 408 137 33 224 0 142 122 97 179 115 123 106 57 80 117 27 134 150 60 156
Character o f e -e a v e r a g e a n d i n s t a n t a
Milliseconds 106 87 119 214 347 43 182 85 60 190 84 93 83 114 106 87 65 119 140 59 191 100 173 357 212
Character n e o u s r a t e - s o f c h a n g e a
Milliseconds 452 125 109 207 557 126 151 169 131 90 252 578 136 105 125 97 89 109 91 109 89 194 113 248 86
Character n d -d -n -a - , a n d s h o w t h a t t h e
Milliseconds 100 121 220 148 123 134 249 120 66 140 32 59 127 74 167 109 87 133 100 69 122 24 166 38 162
Character y a r e c l o s e l y r e l a t e d t o
Milliseconds 89 34 70 143 68 130 125 117 144 29 130 70 208 67 84 81 151 59 208 48 138 119 98 28 144
Character t h e s l o p e o f a c u r v e a t a
Milliseconds 101 78 103 37 143 56 162 127 124 28 158 96 136 43 176 769 110 97 400 117 92 83 129 27 149
Character P o -o -P p o u n -n -u i n t P o n t h e c
Milliseconds 78 291 216 296 122 186 172 180 187 235 122 435 143 60 109 187 82 151 163 117 60 100 70 59 182
Character u r v e . W e g i c e - -e -c v e p r e s -s
Milliseconds 84 153 82 246 165 147 489 200 88 153 139 129 153 114 206 158 145 133 145 78 209 67 68 259 285
Character c i s e d e v e l o p m e n t s o f t h e s
Milliseconds 92 123 34 167 223 374 154 175 97 129 166 131 318 97 143 46 214 67 83 253 98 137 87 79 162
Character e i m p o r t a n c o -o -c - t c o n c e p t
Milliseconds 132 62 122 143 159 143 78 164 183 84 152 173 83 193 145 143 165 84 171 123 146 62 173 89 219
Character s i n t h e n e x t c h p t e -e -t -p a p t
Milliseconds 79 73 122 149 35 73 127 44 80 159 46 202 105 37 112 95 185 217 117 228 127 141 276 111 202
Character e r , b u t f o r n o w e -e w e u s e
Milliseconds 79 126 71 134 170 116 90 79 88 87 75 92 152 99 48 114 82 547 240 37 82 185 52 138 88
Character a n i n o f -f -o f o r m a l a p p r o a c h
Milliseconds 185 126 70 134 169 316 180 326 149 92 97 92 114 111 116 91 306 164 108 213 93 81 221 61 47
Character s o w e -e -w y o u w i l l s e e h o w t
Milliseconds 84 129 50 144 117 180 122 188 146 166 43 93 86 175 123 93 70 183 132 69 122 127 22 150 46
Character h e y l w -w e a d n a t u r a l l y t o t
Milliseconds 119 88 97 27 189 35 570 89 153 118 60 169 0 198 161 26 116 93 145 193 67 100 92 101 90
Character h e m a i n i d e a o f t h i s c h a p
Milliseconds 98 84 56 150 34 106 149 32 125 54 124 124 103 84 109 52 183 37 166 41 121 58 107 71 133
Character t e r , t h e l i m i t . T h e d i e a
Milliseconds 178 78 89 90 108 346 95 96 37 158 145 235 51 119 121 104 195 180 93 59 149 0 124 146 76
Character - -a -e -i -d i d e a o f a l i m i t p l a u
Milliseconds 186 141 328 140 136 155 57 135 207 0 119 86 94 61 95 173 185 122 139 121 76 154 150 64 170
Character s a - -a - -s -u y s a f o u n d a t i o n a
Milliseconds 81 87 102 113 137 159 154 172 189 199 70 78 86 68 127 121 161 154 52 111 196 69 140 163 51
Character l r o l e t h r o u g h o u t c a l c u l u
Milliseconds 129 68 71 114 163 104 82 227 72 93 128 178 96 99 164 173 99 58 141 121 56 175 85 207 186
Character s .
Milliseconds 112 152
WPM Timing
Seconds WPM
2.85 37.89
5.7 54.73
8.55 65.96
11.4 71.57
14.25 64.84
17.1 68.06
19.95 67.96
22.8 70.52
25.65 68.76
28.5 71.99
31.35 69.27
34.2 72.27
37.05 70.28
39.9 69.17
42.75 69.61
45.6 69.47
48.46 68.35
51.31 67.13
54.16 66.03
57.01 67.78
59.86 66.56
62.71 66.4
65.56 68.09
68.41 67.36
71.26 68.2
74.11 68.82
76.96 68.45
79.81 69.47
82.66 69.97
85.51 69.05
88.36 68.58
91.21 70.26
94.06 71.57
96.91 70.95
99.76 70.37
102.61 70.17
105.46 69.75
108.31 70.24
111.16 70.06
114.01 70.1
116.86 70.34
119.71 70.37
122.56 70.49
125.41 70.9
128.26 71.95
131.11 72.58
133.96 72.11
136.81 72.01
139.67 72.52
142.52 72.75