Yet (yet1208)

Race #11801

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Official speed 90.52 wpm (114.54 seconds elapsed during race)
Without ending ping 90.70 wpm (224 ms delay sending score to TypeRacer’s server)
Timerless 90.92 wpm (280 ms elapsed before first character typed; 114.03 seconds elapsed during race)
Timerless minus one 90.82 wpm, ignoring the first character typed
Race Start April 25, 2024 4:24:20am UTC
Race Finish April 25, 2024 4:26:14am UTC
Outcome No win (3 of 5)
Opponents 1. jellyowar308 (109.88 wpm)
2. prinplup9 (101.68 wpm)
Accuracy 98.0%
Points 244.40
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 to cha change in one quantitit y is related to a change in another. How does the speed of a falling object change as a function of time? DHow does the level of water in abarra barrel change as a function of the amount of liquid poured into it? We see change occuring ring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this rsection we indotroduce th e ideas of average and instantaneous rates of change, and show that they are closely reallated to the slope of a curve at a point P on the curve. We give precise developments of these important concepts in the nxext chapter, but for now we used anuse an informal approach so you will see how they lead natrauurally to the main idea of this chapter, the limit. The idea of a limit plays a foundataional role througouhout calcuslus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 280 176 151 267 146 387 117 98 117 104 79 84 130 86 148 55 133 189 99 96 61 69 85 35 82
Character e l p s u s u n d e r s t a n d h o w t o
Milliseconds 100 49 184 84 52 66 114 83 102 146 60 165 81 109 73 83 87 77 114 128 65 66 69 112 79
Character c h -t -o - -c -h a c h a n g e i n o n e q
Milliseconds 77 89 56 331 0 0 0 0 113 156 98 79 73 80 86 63 52 94 53 98 268 49 54 83 390
Character u a n t i t i t - -t -i y i s r e l a t e d
Milliseconds 92 133 86 185 88 97 79 109 139 316 109 75 304 63 99 71 83 279 83 88 113 84 67 138 44
Character t o a c h a n g e i n a n o t h e r . H
Milliseconds 104 37 77 88 113 154 54 97 60 101 68 53 111 51 89 132 70 80 70 2227 128 55 155 158 319
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 94 53 125 112 89 95 107 28 99 25 63 78 39 157 92 143 136 66 100 33 101 68 130 100 235
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 128 123 181 43 56 68 101 125 158 92 114 183 63 131 59 74 83 59 79 84 197 73 59 122 76
Character f u n c t i o n o f t i m e ? D -D H o w d
Milliseconds 294 74 154 32 305 58 144 29 116 52 77 90 223 71 39 87 295 267 357 374 181 118 44 124 128
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 86 94 112 58 169 107 100 94 100 100 156 67 59 84 100 36 120 94 98 84 126 71 53 85 62
Character a b a r r -r -a -b -a -r a b a r r e l c h a n g
Milliseconds 87 110 155 95 90 198 388 313 0 0 0 391 78 158 95 109 214 106 117 82 100 51 41 124 48
Character e a s a f u n c t i o n o f t h e a m
Milliseconds 55 116 112 72 66 138 45 113 89 139 79 211 47 123 35 101 64 35 116 116 39 35 59 198 84
Character o u n t o f l i q u i d p o u r e d i n t
Milliseconds 109 46 130 20 85 60 67 81 87 194 157 136 43 82 101 578 189 71 82 70 145 67 118 54 94
Character o i t ? W e s e e c h a n g e o c c u r
Milliseconds 83 73 212 69 349 279 407 318 112 99 181 136 89 102 94 99 48 70 63 75 160 117 163 120 117
Character i n g - -g -n -i r i n g i n n e a r l y e v
Milliseconds 158 44 79 85 464 117 133 102 186 89 40 109 56 70 61 96 118 91 49 55 102 79 80 138 165
Character e r y t h i n g w e o b s e r v e i n t h
Milliseconds 100 72 92 133 55 81 76 52 88 277 58 67 246 135 103 282 82 230 61 110 136 54 101 166 62
Character e w o r l d a n d u n i v e r s e , a n d
Milliseconds 45 103 83 33 58 92 63 85 118 101 82 59 179 155 39 108 167 91 135 67 117 130 207 66 76
Character p o w e r f u l m o d e r n i n s t r u m e
Milliseconds 89 352 165 118 30 40 157 57 131 215 283 84 56 180 46 76 85 120 70 96 104 199 469 349 100
Character n t s h e l p u s s e e m o r e a n d
Milliseconds 85 72 104 105 138 80 82 154 118 87 90 112 400 166 129 72 90 67 4 44 84 44 64 59 66
Character m o r e . I n t h i s r -r s e c t i o n w
Milliseconds 65 52 58 39 188 168 291 138 84 72 51 32 78 53 224 390 132 67 193 223 102 152 35 121 100
Character e i n d o -o -d t r o d u c e t h - e i d e
Milliseconds 41 100 504 53 30 138 525 137 103 196 110 91 128 117 58 76 129 21 110 432 129 101 135 47 180
Character a s o f a v e r a g e a n d i n s t a n t
Milliseconds 69 132 39 101 94 100 226 143 131 116 169 83 66 66 90 51 60 83 143 57 206 94 92 99 74
Character a n e o u s r a t e s o f c h a n g e , a
Milliseconds 884 437 101 99 46 102 402 103 78 166 51 136 309 155 84 72 172 72 82 83 82 52 86 98 203
Character n d s h o w t h a t t h e y a r e c l o
Milliseconds 79 69 82 280 105 51 61 70 81 72 77 85 82 103 49 34 97 52 126 46 69 84 625 5 133
Character s e l y r e a l -l -a l a t e d t o t h e s
Milliseconds 66 72 74 89 67 125 52 64 119 469 115 214 27 76 70 146 75 93 66 82 72 53 50 72 79
Character l o p e o f a c u r v e a t a p o i n
Milliseconds 74 122 148 117 35 114 36 102 96 106 86 124 73 196 70 82 147 64 68 414 466 419 166 156 39
Character t P o n t h e c u r v e . W e g i v e
Milliseconds 55 86 381 285 214 41 95 83 39 48 61 165 186 117 343 104 173 151 367 62 200 145 112 109 47
Character p r e c i s e d e v e l o p m e n t s o f
Milliseconds 67 134 85 54 170 121 104 67 66 189 179 200 73 166 183 120 826 132 103 79 145 108 124 48 96
Character t h e s e i m p o r t a n t c o n c e p t s
Milliseconds 100 51 77 186 52 88 153 79 180 134 98 214 49 110 87 88 131 57 45 128 76 81 129 128 99
Character i n t h e n x -x e x t c h a p t e r , b u
Milliseconds 132 48 81 107 58 75 15 101 246 721 68 194 171 68 207 93 66 68 124 115 83 85 71 148 166
Character t f o r n o w w e u s e d a n -u -s -e -d -
Milliseconds 26 92 110 68 87 56 95 65 13 105 112 80 59 395 76 53 191 52 151 134 366 0 0 0 0
Character -a -n u s e a n i n f o r m a l a p p r o a c
Milliseconds 0 0 363 100 60 234 161 96 98 182 53 81 76 134 75 148 154 83 117 117 115 87 81 112 107
Character h s o y o u w i l l s e e h o w t h e
Milliseconds 67 103 247 72 66 127 81 72 67 44 93 142 130 136 92 178 161 123 117 33 20 114 83 44 51
Character y l e a d n a t r a u -u -a -r u r a l l y t o
Milliseconds 84 99 133 67 51 130 103 248 125 108 191 159 19 398 118 111 278 278 101 66 133 118 58 131 62
Character t h e m a i n i d e a o f t h i s c h
Milliseconds 81 116 41 110 52 162 74 125 37 84 103 46 153 97 45 54 104 73 147 28 71 114 138 127 77
Character a p t e r , t h e l i m i t . T h e i d e
Milliseconds 56 99 100 123 79 243 97 110 35 52 76 57 169 134 146 97 131 126 444 38 179 107 172 85 166
Character a o f a l i m i t p l a y s a f o u n
Milliseconds 65 18 77 93 66 65 126 256 109 109 149 99 62 125 145 72 91 114 94 81 133 46 121 27 107
Character d a t a -a i o n a l r o l e t h r o u g o u -u
Milliseconds 64 100 114 292 550 233 133 55 77 357 147 485 95 133 40 73 209 59 115 86 66 184 102 108 438
Character -o h o u t c a l c u s -s l u s .
Milliseconds 120 382 128 53 114 123 249 156 177 103 120 126 425 181 72 33 199
WPM Timing
Seconds WPM
2.29 73.34
4.58 99.53
6.87 96.04
9.16 92.98
11.45 92.2
13.74 89.93
16.04 83.81
18.33 88.4
20.62 91.96
22.91 92.2
25.2 90.48
27.49 90.8
29.78 88.65
32.07 92.05
34.36 92.55
36.65 91.35
38.94 91.52
41.23 91.09
43.52 91.26
45.82 92.98
48.11 93.04
50.4 92.39
52.69 93.15
54.98 93.42
57.27 92.41
59.56 91.47
61.85 92.35
64.14 91.11
66.43 91.22
68.72 92.2
71.01 91.76
73.3 92.98
75.6 91.91
77.89 91.67
80.18 91.75
82.47 91.24
84.76 91.88
87.05 91.26
89.34 92.41
91.63 90.62
93.92 91.1
96.21 91.92
98.5 91
100.79 91.79
103.08 92.31
105.38 92.47
107.67 92.84
109.96 91.78
112.25 91.19
114.54 90.52