Leas (leas_celyn)

Race #90

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Official speed 87.24 wpm (118.84 seconds elapsed during race)
Without ending ping 87.24 wpm (2 ms delay sending score to TypeRacer’s server)
Timerless 87.58 wpm (454 ms elapsed before first character typed; 118.39 seconds elapsed during race)
Timerless minus one 87.47 wpm, ignoring the first character typed
Race Start November 19, 2023 7:46:57am UTC
Race Finish November 19, 2023 7:48:56am UTC
Outcome No win (3 of 5)
Opponents 1. neko_kat (113.16 wpm)
2. wlkvr (94.52 wpm)
4. smileyyy___ (78.85 wpm)
Accuracy 94.9%
Points 235.54
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 Calcucllus is a tool that helps us aununderstand how acha change in one wquantity is realtelated to a change in antoherother. How does the speed of a falling object change as a funciton tion of time? How does hte lethe level fo watof water in ab ar barrel change as a functio nnof hn of the amount of liquid poured in tto it ?t? We see change occuring inring in enearly everything we observe in the world and universe, andd pwo powerufl ful modern instruments help us see more andd more m more. IN TIn this section we introudecduce th ie e ideas of average and instantaneous rates of change, and show that they are closely related to hethe slope of a curve at a pooint P on the curve. wE wwWe giev prve precise deveoplopments of these important concepts in the next chapte,r brer, but offor now ewe use an informal appraochoacroach s o y i o you will see h wow the yelyy lead naturally to the main idae of ea of this chapter, the limttiit. The lidea of a limit plays a foundational role throughout calculus.
Timing
Character C a l c u c l -l -c l u s i s a t o o l t h
Milliseconds 454 292 84 90 102 58 116 176 100 199 119 87 24 62 103 45 147 99 89 48 144 165 26 175 6
Character a t h e l p s u s a u n -n -u -a u n d e r s t
Milliseconds 448 181 112 74 89 166 35 22 284 84 104 60 126 109 85 164 181 94 260 80 25 87 109 92 126
Character a n d h o w a c h a -a -h -c c h a n g e i n
Milliseconds 59 20 109 56 56 141 34 64 84 218 139 76 265 269 202 31 394 203 52 138 7 116 36 104 60
Character o n e w -w q u a n t i t y i s r e a l t e
Milliseconds 26 82 147 193 85 190 273 60 125 66 97 81 50 105 81 73 186 34 81 68 82 72 31 115 85
Character -e -t -l -a l a t e d t o a c h a n g e i n
Milliseconds 231 83 78 89 217 102 69 93 103 50 102 22 95 132 74 117 91 67 102 22 101 42 59 38 77
Character a n t o h e r -r -e -h -o -t o t h e r . H o w d o
Milliseconds 19 89 150 22 98 52 68 172 131 111 98 89 115 100 87 55 53 95 152 125 195 50 90 114 57
Character e s t h e s p e e d o f a f a l l i n g
Milliseconds 106 67 70 135 23 127 28 140 48 86 237 225 87 96 45 85 40 111 67 80 36 132 137 48 29
Character o b j e c t c h a n g e a s a f u n c i
Milliseconds 52 87 167 83 63 48 198 67 149 54 166 63 51 86 66 86 79 69 136 115 62 128 39 86 145
Character t o n - -n -o -t -i t i o n o f t i m e ? H o
Milliseconds 8 137 111 7 190 106 167 91 117 32 95 219 155 64 80 53 84 71 35 81 45 245 211 176 174
Character w d o e s h t e l e -e -l - -e -t -h t h e l e
Milliseconds 47 91 66 84 108 35 86 101 12 51 84 51 69 229 129 61 91 97 92 106 73 80 56 71 65
Character v e l f o w a t -t -a -w - -o -f o f w a t e r
Milliseconds 101 101 96 11 164 9 87 63 77 89 230 118 67 95 103 85 119 82 67 83 95 73 98 69 72
Character i n a b a r -r -a - -b b a r r e l c h a n g
Milliseconds 64 60 70 60 87 20 116 118 114 169 95 108 41 121 52 118 193 89 76 35 237 67 96 86 17
Character e a s a f u n c t i o n n o f h -h - -f -o
Milliseconds 90 78 87 60 67 445 166 92 138 53 68 137 31 133 125 11 46 55 61 80 91 157 158 77 106
Character -n -n - n o f t h e a m o u n t o f l i q
Milliseconds 97 105 163 189 68 127 93 47 79 40 76 35 92 96 55 169 66 65 7 89 63 58 64 143 80
Character u i d p o u r e d i n t -t - t o i t ? -?
Milliseconds 88 111 62 52 66 37 187 176 114 96 39 87 74 120 116 117 101 103 17 113 100 22 94 203 268
Character - -t t ? W e s e e c h a n g e o c c u r i
Milliseconds 121 51 504 216 195 126 185 68 114 36 131 55 136 25 236 95 44 96 31 90 109 132 136 85 85
Character n g i n -n -i - -g -n -i r i n g i n e -e n e a r
Milliseconds 80 17 53 63 64 200 196 79 98 103 90 96 119 56 47 69 47 81 56 109 292 145 49 55 33
Character l y e v e r y t h i n g w e o b s e r v e
Milliseconds 65 151 63 69 88 74 36 85 106 82 96 90 9 73 70 67 89 44 136 28 154 70 53 94 82
Character i n t h e w o r l d a n d u n i v e r s e
Milliseconds 57 83 48 67 33 92 86 70 66 19 131 72 80 46 59 73 7 103 77 127 56 84 113 130 57
Character , a n d d p w o -o -w -p - - -d p o w e r u f
Milliseconds 96 27 83 133 67 54 27 135 37 29 189 189 91 108 83 182 122 81 118 29 80 193 65 193 20
Character l - -l -f -u f u l m o d e r n i n s t r u m e
Milliseconds 185 39 180 185 97 106 72 106 162 98 69 71 42 104 93 85 8 411 66 187 107 127 197 167 68
Character n t s h e l p u s s e e m o r e a n d d
Milliseconds 86 11 155 34 116 111 86 109 33 123 52 79 125 12 152 87 29 62 65 69 64 73 41 43 50
Character m o r e -e -r -o -m - m -m - -d m o r e . I N
Milliseconds 20 91 49 51 103 177 195 76 98 96 83 96 259 74 104 173 94 91 31 84 120 133 184 77 130
Character T -T - -N -I I n t h i s s e c t i o n w e i
Milliseconds 79 226 115 77 98 588 205 62 45 95 87 36 47 104 206 215 174 23 144 110 47 8 78 76 126
Character n t r o u d e c -c -e -d -u d u c e t h i -i e -
Milliseconds 45 68 161 57 119 67 138 24 182 113 86 86 250 132 93 45 88 96 33 119 91 286 195 97 169
Character -e - e i d e a s o f a v e r a g e a n d
Milliseconds 132 86 66 86 72 98 143 101 108 34 81 54 87 239 129 52 73 99 12 96 52 73 50 66 35
Character i n s t a n t a n e o u s r a t e s o f c h
Milliseconds 87 54 73 139 130 32 333 146 147 71 131 83 78 25 106 103 95 90 172 55 148 17 108 90 102
Character a n g e , a n d s h o w t h a t t h e y
Milliseconds 70 166 25 85 96 53 98 72 61 67 126 12 196 48 72 68 46 63 90 13 148 18 143 29 59
Character a r e c l o s e l y r e l a t e d t o h e
Milliseconds 98 66 122 48 119 52 131 62 56 79 124 61 50 88 139 22 84 113 100 43 118 13 124 72 274
Character -e -h t h e s l o p e o f a c u r v e a t
Milliseconds 115 103 137 22 71 86 104 249 194 145 34 64 82 49 85 34 122 121 77 147 31 77 58 75 105
Character a p o -o o i n t P o n t h e c u r v e
Milliseconds 94 66 110 58 172 338 346 177 57 15 87 160 150 83 152 75 70 82 57 82 461 58 266 7 146
Character . w E - -E w -w -w w -w W e g i e v p r -r -p -
Milliseconds 296 207 187 154 101 259 259 39 138 114 158 378 188 171 77 168 126 145 12 99 138 32 164 187 99
Character -v -e v e p r e c i s e d e v e o p -p -o l o p m
Milliseconds 104 362 210 60 61 121 16 202 184 44 149 92 38 164 209 105 100 377 148 301 312 178 177 120 122
Character e n t s o f t h e s e i m p o r t a n t c
Milliseconds 56 93 22 135 37 75 82 59 94 52 68 179 8 96 83 81 141 42 50 173 35 12 98 81 137
Character o n c e p t s i n t h e n e x t c h a p t
Milliseconds 44 80 63 86 87 74 136 46 33 64 102 67 44 96 74 41 45 181 109 88 116 71 93 119 38
Character e , r b -b - -r -, -e r -r e r , b u t o f -f -o f
Milliseconds 112 10 62 67 111 217 107 86 109 97 113 260 77 55 95 61 168 71 40 80 162 57 212 106 52
Character o r n o w e -e w e u s e a n i n f o r m
Milliseconds 45 105 57 49 122 22 90 191 198 63 55 84 47 107 127 99 155 104 118 79 43 158 65 99 48
Character a l a p p r a o c h -h -c -o -a -r o a c -c -a -o r o a
Milliseconds 98 118 35 290 37 129 55 119 6 180 66 186 178 94 85 96 83 77 86 157 125 83 71 89 57
Character c h s o y -y - -o - i -i - - o y o u w
Milliseconds 149 44 48 117 137 32 142 10 252 188 102 96 283 441 335 349 315 222 174 143 82 165 51 56 70
Character i l l s e e h w -w - o w t h e y e l -l -e
Milliseconds 361 167 135 28 84 26 156 17 138 95 271 180 137 120 85 49 111 65 73 62 25 258 10 164 182
Character -y y -y - y l e a d n a t u r a l l y t o t
Milliseconds 102 301 249 127 147 114 100 41 78 61 47 121 53 169 63 96 76 70 108 151 62 72 78 53 63
Character h e m a i n i d a e o f - -f -o - -e -a e a
Milliseconds 42 76 79 98 74 30 88 41 119 82 171 13 44 107 60 101 104 101 157 98 109 95 86 56 50
Character o f t h i s c h a p t e r , t h e l i m t
Milliseconds 143 100 58 116 21 73 75 60 154 19 280 129 139 74 120 55 43 100 41 108 54 24 185 40 122
Character -t t i -i -t i t . T h e l -l i d e a o f a
Milliseconds 371 235 59 264 118 99 96 136 153 72 159 101 66 92 191 106 75 94 15 36 71 54 86 44 123
Character l i m i t p l a y s a f o u n d a t i o n a
Milliseconds 29 257 406 253 90 62 251 38 56 168 59 57 45 108 38 63 163 36 43 121 76 17 146 111 70
Character l r o l e t h r o u g h o u t c a l c u l u
Milliseconds 77 86 90 58 151 15 87 38 48 129 50 118 115 20 155 75 7 95 142 106 85 79 99 183 107
Character s .
Milliseconds 50 116
WPM Timing
Seconds WPM
2.38 70.68
4.75 83.3
7.13 82.46
9.51 78.25
11.88 78.76
14.26 84.98
16.64 84.38
19.02 90.87
21.39 91.44
23.77 90.87
26.15 89.96
28.52 87.93
30.9 88.16
33.28 85.11
35.65 89.19
38.03 86.77
40.41 87.61
42.78 85.55
45.16 89.55
47.54 91.88
49.91 88.95
52.29 89.27
54.67 90.66
57.05 88.35
59.42 87.44
61.8 87.57
64.18 86.57
66.55 88.17
68.93 90
71.31 91.88
73.68 91.85
76.06 91.82
78.44 91.03
80.81 89.09
83.19 88.28
85.57 87.37
87.95 89.1
90.32 88.88
92.7 88.67
95.08 89.23
97.45 87.92
99.83 85.83
102.21 85.71
104.58 84.45
106.96 85.83
109.34 85.61
111.71 85.29
114.09 85.62
116.47 86.24
118.84 87.24