Peach (peach_12)

Race #30

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Official speed 77.58 wpm (133.64 seconds elapsed during race)
Without ending ping 77.73 wpm (256 ms delay sending score to TypeRacer’s server)
Timerless 77.79 wpm (106 ms elapsed before first character typed; 133.28 seconds elapsed during race)
Timerless minus one 77.70 wpm, ignoring the first character typed
Race Start May 27, 2023 5:10:44am UTC
Race Finish May 27, 2023 5:12:57am UTC
Outcome No win (3 of 5)
Opponents 1. strongly_typed (107.44 wpm)
2. armada120 (89.46 wpm)
Accuracy 95.9%
Points 209.46
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 Calculaus is a tool that helps u s understand how a change in oune quantity is related to a chancewgegnge in another. HOW ow does the speed of a falling object change as af fucnction of time? HOwow does the level of water in a barrael change as a fucntintiction of the amount of liquid poured into it? We see change occurring in nearly evertryything we obseverve in the world and universwe,e, and opowerful modern instrumens helts help us see more and more. In this section we introcuduce the ideas of average and instantanioueous rates of change,m and show that they are closely related to the slop e of a curve at a point P on the curve. We give precid se develoipmpments of these important convcepts in the next chatepter, but fdoror now we use an informal apporaracooach so you will see how they arlead naturally to thge e main idea of this cahapter, the limit. The idea of a limit plays a foundational erolroel le througuhout calculus.
Timing
Character C a l c u l a -a u s i s a t o o l t h a t
Milliseconds 106 118 78 307 74 159 120 326 208 65 111 84 67 72 98 94 146 53 120 156 121 112 89 42 65
Character h e l p s u - s u n d e r s t a n d h o
Milliseconds 35 105 73 101 156 95 42 119 160 335 136 80 184 151 73 176 153 176 112 95 60 92 121 42 78
Character w a c h a n g e i n o u -u n e q u a n t
Milliseconds 58 85 80 152 25 617 57 94 88 167 75 78 82 110 105 62 327 181 93 88 200 96 112 72 136
Character i t y i s r e l a t e d t o a c h a n c
Milliseconds 50 134 80 137 128 72 111 169 167 89 66 69 162 158 104 88 71 113 50 168 150 106 134 89 103
Character e w -w -e g e -e -g -c -n g -g n g e i n a n o t h e
Milliseconds 191 25 320 119 81 168 263 129 128 111 105 401 385 78 170 85 74 71 136 40 127 97 154 62 190
Character r . H O W - -W -O o w d o e s t h e s p e
Milliseconds 178 120 160 200 87 120 135 307 119 134 257 97 120 57 62 131 110 80 120 81 78 89 130 143 133
Character e d o f a f a l l i n g o b j e c t c h
Milliseconds 145 158 75 111 43 150 193 116 115 215 271 194 207 63 52 100 113 115 118 86 163 199 89 125 89
Character a n g e a s a f -f f u c -c n c t i o n o f
Milliseconds 43 127 48 454 128 169 62 208 27 447 351 160 192 109 94 502 179 172 242 73 77 35 134 72 87
Character t i m e ? H O w -w -O o w d o e s t h e l
Milliseconds 128 137 111 59 93 175 209 201 74 200 364 122 247 64 110 53 140 65 96 103 88 90 79 43 94
Character e v e l o f w a t e r i n a b a r r a -a
Milliseconds 65 160 166 50 119 80 40 127 152 144 68 181 143 80 50 111 113 77 129 128 127 124 157 72 546
Character e l c h a n g e a s a f u c n t i -i -t -n -c
Milliseconds 238 105 152 127 73 54 137 58 167 72 127 57 87 130 247 143 113 95 97 159 112 265 122 137 144
Character n t i -i -t c t i o n o f t h e a m o u n t
Milliseconds 170 133 105 289 121 112 166 41 65 46 119 98 93 89 153 72 88 89 120 120 129 85 163 62 321
Character o f l i q u i d p o u r e d i n t o i t ?
Milliseconds 186 89 64 136 54 226 119 72 230 165 178 182 108 397 162 159 54 77 66 91 92 87 146 88 198
Character W e s e e c h a n g e o c c u r r i n g
Milliseconds 202 175 94 146 120 169 113 94 127 89 100 73 579 184 89 102 130 128 154 50 557 181 74 63 104
Character i n n e a r l y e v e r t r y -y -r -t y t h i n
Milliseconds 66 77 138 360 102 113 71 90 160 128 108 140 184 136 159 16 72 336 127 153 441 176 71 51 92
Character g w e o b s e v -v e -e r v e i n t h e w
Milliseconds 66 111 103 66 87 144 112 169 183 328 313 144 407 104 169 185 86 50 87 128 79 96 104 137 159
Character o r l d a n d u n i v e r s w e , -, -e -w e ,
Milliseconds 97 128 112 121 94 129 87 81 96 137 176 41 150 192 160 135 19 41 76 289 119 136 207 138 191
Character a n d o -o p o w e r f u l m o d e r n i n s
Milliseconds 112 73 71 104 72 422 214 181 79 111 1352 234 27 119 125 201 106 104 176 154 55 126 47 78 130
Character t r u m e n s h e l -l -e -h - -s t s h e l p u
Milliseconds 119 160 74 143 57 108 147 71 118 106 43 247 128 133 129 119 121 88 98 127 113 49 135 238 184
Character s s e e m o r e a n d m o r e . I n t
Milliseconds 104 74 125 146 144 68 100 99 23 143 93 90 65 77 81 58 74 50 147 58 157 136 93 123 84
Character h i s s e c t i o n w e i n t r o c u -u -c d
Milliseconds 57 45 79 63 144 48 184 201 67 46 72 126 52 55 126 199 59 126 174 120 184 36 438 118 265
Character u c e t h e i d e a s o f a v e r a g e
Milliseconds 145 71 210 104 105 40 125 75 37 52 181 94 52 94 103 76 99 114 101 197 173 120 73 223 160
Character a n d i n s t a n t a n i o u -u -o -i e o u s r
Milliseconds 112 80 80 89 78 98 128 121 103 119 502 211 150 137 103 139 277 130 144 94 138 50 71 108 82
Character a t e s o f c h a n g e , m -m a n d s h o
Milliseconds 96 96 170 94 95 56 89 114 86 96 34 125 97 162 107 30 607 128 230 103 72 121 67 85 59
Character w t h a t t h e y a r e c l o s e l y r
Milliseconds 78 87 103 90 28 63 93 335 71 98 87 112 41 43 171 129 289 73 160 46 90 87 152 136 67
Character e l a t e d t o t h e s l o p - e o f
Milliseconds 153 54 49 94 455 180 107 122 62 105 79 80 72 64 122 62 145 171 309 385 112 110 129 81 119
Character a c u r v e a t a p o i n t P o n t
Milliseconds 386 50 170 147 95 158 177 90 85 52 110 95 142 114 184 87 66 49 117 200 178 129 93 131 101
Character h e c u r v e . W e g i v e p r e c i d
Milliseconds 82 111 77 70 78 119 128 184 71 177 161 191 400 170 85 99 166 104 81 129 134 175 64 128 256
Character - -d s e d e v e l o i p m -m -p -i p m e n t s o
Milliseconds 401 159 128 104 123 124 164 175 167 111 153 26 98 183 311 117 122 320 362 86 120 135 33 119 137
Character f t h e s e i m p o r t a n t c o n v -v c e
Milliseconds 81 103 103 68 107 146 71 81 135 130 39 175 97 369 119 113 78 107 134 73 70 90 432 87 169
Character p t s i n t h e n e x t c h a t e -e -t p t
Milliseconds 95 119 50 173 215 92 102 107 85 90 80 111 87 168 161 103 120 79 46 172 177 292 117 185 78
Character e r , b u t f d o r -r -o -d o r n o w w e
Milliseconds 183 159 110 145 105 80 104 103 145 31 23 147 298 117 145 194 77 88 65 79 53 98 107 63 131
Character u s e a n i n f o r m a l a p p o r a -a -r -o
Milliseconds 99 52 94 104 118 53 148 52 116 487 129 87 97 103 80 98 114 101 105 183 96 128 287 128 127
Character r a c o -o -c -a o a c h s o y o u w i l l s
Milliseconds 124 78 104 32 416 122 128 189 74 43 100 105 109 68 103 133 111 48 123 88 80 129 98 132 66
Character e e h o w t h e y a r -r -a l e a d n a t u
Milliseconds 166 153 64 87 73 82 110 100 69 97 92 116 111 58 334 106 205 51 68 104 112 369 78 198 118
Character r a l l y t o t h g e - -e -g e m a i n i
Milliseconds 120 86 36 285 360 111 129 42 405 112 86 23 83 73 384 133 115 116 147 153 56 144 55 103 129
Character d e a o f t h i s c a -a h a p t e r , t h
Milliseconds 26 599 145 129 110 82 86 138 63 42 55 85 112 114 534 209 108 104 133 147 158 107 222 115 76
Character e l i m i t . T h e i d e a o f a l i
Milliseconds 89 81 71 73 116 82 103 139 174 184 129 81 110 81 96 174 81 168 200 104 145 143 127 122 61
Character m i t p l a y s a f o u n d a t i o n a l
Milliseconds 135 81 89 119 81 150 74 134 113 94 90 148 110 79 49 141 71 106 355 79 48 72 79 88 160
Character e r o l -l -o -r -e r o e l - -l -e l e t h r o u g
Milliseconds 216 27 46 167 281 114 143 239 158 86 139 25 200 327 119 129 240 64 120 102 105 128 79 50 614
Character u -u h o u t c a l c u l u s .
Milliseconds 83 583 207 161 61 91 98 126 80 111 330 109 199 234 100 122
WPM Timing
Seconds WPM
2.67 80.81
5.35 87.55
8.02 91.29
10.69 92.04
13.36 82.61
16.04 80.06
18.71 78.25
21.38 79.69
24.06 78.82
26.73 77.22
29.4 76.73
32.07 79.69
34.75 79.43
37.42 76.32
40.09 77.82
42.77 78.01
45.44 78.44
48.11 78.57
50.78 77.74
53.46 76.55
56.13 76.54
58.8 75.3
61.48 75.35
64.15 74.45
66.82 76.68
69.49 76.67
72.17 77.82
74.84 77.45
77.51 78.03
80.19 78.57
82.86 78.93
85.53 78.85
88.2 79.45
90.88 79.76
93.55 79.14
96.22 78.57
98.9 78.63
101.57 78.8
104.24 78.4
106.91 79.13
109.59 78.07
112.26 78.89
114.93 78.62
117.61 78.26
120.28 78.12
122.95 78.57
125.62 79.19
128.3 78.66
130.97 77.88
133.64 77.58