E (phillipcool127)

Race #1434

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Official speed 85.96 wpm (120.61 seconds elapsed during race)
Without ending ping 86.08 wpm (162 ms delay sending score to TypeRacer’s server)
Timerless 86.28 wpm (288 ms elapsed before first character typed; 120.16 seconds elapsed during race)
Timerless minus one 86.18 wpm, ignoring the first character typed
Race Start December 3, 2023 6:53:34pm UTC
Race Finish December 3, 2023 6:55:35pm UTC
Outcome No win (2 of 5)
Opponents 1. penguinstar123 (90.94 wpm)
3. ginforspeed (79.52 wpm)
4. chameleom (61.09 wpm)
Accuracy 96.2%
Points 232.08
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 i s as a tool that helps us understand hoa cw a change in one wquanuquantity is related to a change in another. How does th ee psespeed of a falling object change as a function of time/ ? howHow does the level of qwwatere in a barrel change as a function of the amount of liquid poured into it? We see change occuring in occurring in nearly everything ewe observe int he the world and universe, and powerful moder n instruments help usa s see more and more. I nn this seciotn wsceection we introudduce the ideas of taverage and insattanteaneous rates of cahhange, and hsowshow that they are closely related to the slope of a curve at a point P on the curve. We give preceiise developments of theesse important concepts in the next chapter, hubut for now we use an informal sapproach so you wil ll see how they lead naturaly ly to the main idea oaf thiof this chapter, lthe limit. The idea of a milimit plays a fuoundation al role throughout calculiuus.
Timing
Character C a l c u l u s i s a -a - -s - s a t o o
Milliseconds 288 177 277 109 190 144 105 147 69 50 182 16 136 91 242 117 130 115 93 101 31 132 104 42 142
Character l t h a t h e l p s u s u n d e r s t a n
Milliseconds 188 79 80 82 11 108 33 63 140 365 165 106 73 100 70 97 132 89 68 172 50 107 120 74 100
Character d h o a c -c - -a w a c h a n g e i n o
Milliseconds 105 87 3 62 126 102 202 189 111 121 65 135 34 165 232 109 90 113 208 82 75 55 88 67 131
Character n e w q u a n -w -q -u -a -n u -u q u a n t i t y i
Milliseconds 41 114 67 222 16 84 157 38 390 0 0 0 0 267 352 137 97 108 86 147 78 130 102 65 108
Character s r e l a t e d t o a c h a n g e i n
Milliseconds 87 63 146 51 111 0 116 77 198 78 110 77 59 197 326 101 85 82 109 88 77 80 63 70 81
Character a n o t h e r . H o w d o e s t h e -e - e
Milliseconds 111 93 93 435 87 77 73 126 67 166 277 95 95 83 63 97 94 12 121 126 127 131 392 108 50
Character p s e -p -s -e s p e e d o f a f a l l i n g
Milliseconds 62 154 52 151 344 0 0 141 65 51 147 166 97 31 245 138 77 110 128 107 43 126 179 81 101
Character o b j e c t c h a n g e a s a f u n c t
Milliseconds 18 89 185 142 75 135 174 76 343 103 62 112 44 90 103 110 202 114 62 123 88 91 93 68 159
Character i o n o f t i m e / - -/ ? h o w -h -o -w H o
Milliseconds 6 87 45 62 154 112 54 133 50 24 113 140 221 361 105 210 153 186 150 113 354 0 0 273 143
Character w d o e s t h e l e v e l o f q w -w -q w
Milliseconds 110 143 44 87 85 86 34 78 283 217 83 84 127 109 89 112 87 121 58 91 133 22 304 111 33
Character a t e r e -e i n a b a r r e l c h a n g e
Milliseconds 45 97 115 94 175 394 64 99 35 88 49 124 113 194 129 205 73 124 73 190 32 81 122 42 67
Character a s a f u n c t i o n o f t h e a m o
Milliseconds 96 81 90 105 97 119 54 120 58 115 168 38 46 70 106 107 102 69 118 43 64 101 50 79 105
Character u n t o f l i q u i d p o u r e d i n t o
Milliseconds 216 76 109 71 62 82 80 80 163 103 101 129 215 101 149 289 235 65 195 175 65 50 69 67 115
Character i t ? W e s e e c h a n g e o c c u r i
Milliseconds 22 237 64 283 127 117 196 113 118 121 115 102 71 92 89 115 72 64 51 117 103 200 99 68 116
Character n g i n -i -n - -o -c -c -u -r -i -n -g - o c c u r r i
Milliseconds 67 19 81 41 58 95 330 0 0 104 0 0 0 0 0 0 0 0 289 78 127 83 104 171 105
Character n g i n n e a r l y e v e r y t h i n g e
Milliseconds 57 62 74 63 45 119 98 75 62 60 96 121 98 52 175 128 55 79 137 91 58 174 88 16 124
Character -e w e o b s e r v e i n t h e -e -h - -t t h
Milliseconds 402 43 46 84 169 225 276 62 149 221 71 73 65 42 91 127 5 110 297 106 145 119 118 39 90
Character e w o r l d a n d u n i v e r s e , a n d
Milliseconds 75 92 59 68 144 85 100 83 60 106 383 109 75 90 157 88 73 69 136 38 117 167 97 94 34
Character p o w e r f u l m o d e r - n i n s t r u
Milliseconds 75 153 124 93 24 76 165 66 157 67 126 115 64 208 131 202 279 151 36 100 110 12 206 45 64
Character m e n t s h e l p u s a s -s - - -a s e e
Milliseconds 154 81 87 65 102 107 56 135 52 191 126 103 66 4 160 33 259 104 129 213 132 65 56 73 167
Character m o r e a n d m o r e . I n -n - n t h
Milliseconds 140 94 44 60 46 82 46 55 100 48 64 58 65 49 121 113 187 215 91 263 105 155 59 72 59
Character i s s e c i o t n w -w - -s -e -c -i -o -t -n s c e -e
Milliseconds 74 38 330 89 57 152 110 66 0 71 105 72 355 174 422 0 0 0 0 0 0 168 165 133 181
Character -c e c t i o n w e i n t r o u d -d -u d u c e
Milliseconds 99 32 83 176 20 52 20 102 78 60 103 95 45 118 49 75 197 97 216 106 100 121 42 83 74
Character t h e i d e a s o f t -t a v e r a g e a n
Milliseconds 96 39 87 63 101 63 143 87 80 128 116 48 97 101 291 43 102 124 56 187 132 119 91 113 95
Character d i n s a t -t -a t a n t e -e a n e o u s r a t
Milliseconds 114 96 139 86 93 104 0 492 123 53 81 72 97 131 455 59 98 400 82 125 52 102 67 105 95
Character e s o f c a h -h -a h a n g e , a n d h s o
Milliseconds 63 78 125 134 52 99 263 111 34 408 104 149 48 134 20 61 366 108 60 78 109 52 115 12 72
Character w -h -s -o -w s h o w t h a t t h e y a r e c
Milliseconds 139 328 0 0 0 128 52 40 92 80 71 87 33 85 48 160 96 97 114 40 84 66 50 91 272
Character l o s e l y r e l a t e d t o t h e s l o
Milliseconds 14 170 48 45 91 139 120 74 82 68 124 60 93 216 64 65 83 174 106 88 100 112 146 57 202
Character p e o f a c u r v e a t a p o i n t
Milliseconds 110 46 389 155 69 77 98 116 53 83 86 119 62 80 109 170 114 99 124 679 114 75 69 146 74
Character P o n t h e c u r v e . W e g i v e p
Milliseconds 194 191 135 76 48 90 54 62 69 95 56 109 184 26 149 154 553 117 168 92 75 123 75 34 162
Character r e c e i -i -e i s e d e v e l o p m e n t s o
Milliseconds 67 430 195 92 36 365 97 198 101 60 87 152 435 160 90 125 144 129 160 139 75 85 102 106 107
Character f t h e e s -s -e s e i m p o r t a n t c o n
Milliseconds 95 72 97 78 173 280 121 249 102 15 42 94 54 94 83 43 157 157 45 104 76 60 186 78 40
Character c e p t s i n t h e n e x t c h a p t e r
Milliseconds 88 69 130 188 95 96 60 58 96 56 67 28 113 77 122 166 163 99 256 95 43 135 69 96 82
Character , h u -u -h b u t f o r n o w w e u s e
Milliseconds 84 58 166 67 328 113 150 49 60 62 114 102 81 56 74 401 54 95 100 466 83 111 42 61 91
Character a n i n f o r m a l s -s a p p r o a c h s o
Milliseconds 143 86 74 129 69 98 113 119 92 211 102 81 67 314 99 80 114 121 66 81 86 155 193 180 87
Character y o u w i l l -l - l s e e h o w t h e
Milliseconds 57 124 67 80 21 189 91 150 147 0 460 109 181 34 47 75 219 123 88 54 107 80 159 88 95
Character y l e a d n a t u r a l y - -y l y t o t
Milliseconds 114 97 95 145 89 185 105 119 95 200 72 90 61 71 178 90 291 113 177 23 86 53 57 115 40
Character h e m a i n i d e a o a f t h i -t -h -i -o -a
Milliseconds 66 89 392 121 122 75 52 49 158 50 276 52 91 145 14 113 68 84 45 73 258 0 0 114 0
Character -f - o f t h i s c h a p t e r , l -l t h e
Milliseconds 0 0 423 208 110 84 33 62 48 100 233 82 78 157 0 348 102 137 109 194 300 126 16 116 67
Character l i m i t . T h e i d e a o f a m -m i -i
Milliseconds 21 159 85 145 101 105 99 174 104 71 84 155 153 132 30 143 68 186 150 178 31 279 336 287 421
Character l i m i t p l a y s a f u -u o u n d a t i o
Milliseconds 163 144 164 243 166 70 110 159 54 150 86 98 79 98 50 108 533 194 248 145 82 106 80 78 34
Character n - a l r o l e t h r o u g h o u t c a l
Milliseconds 70 95 307 98 94 47 59 142 207 56 71 485 26 554 73 73 108 99 168 65 78 79 127 93 114
Character c u l i u -u -i u s .
Milliseconds 70 88 152 138 128 274 109 147 107 90
WPM Timing
Seconds WPM
2.41 49.75
4.82 77.11
7.24 79.59
9.65 79.59
12.06 80.59
14.47 84.57
16.89 84.57
19.3 82.08
21.71 84.57
24.12 87.05
26.54 82.76
28.95 83.32
31.36 83.8
33.77 87.77
36.18 88.22
38.6 88.61
41.01 86.03
43.42 88.44
45.83 87.97
48.25 87.05
50.66 88.83
53.07 89.09
55.48 88.46
57.89 88.51
60.31 85.36
62.72 86.48
65.13 86.96
67.54 85.81
69.96 85.42
72.37 85.73
74.78 86.97
77.19 87.52
79.61 87.43
82.02 87.64
84.43 86.98
86.84 87.05
89.25 87.26
91.67 88.1
94.08 87.63
96.49 87.92
98.9 87.72
101.32 88.24
103.73 88.04
106.14 87.28
108.55 87.22
110.97 87.7
113.38 86.58
115.79 86.54
118.2 86.09
120.61 85.96