Andre (smallchicken)

Race #42297

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Official speed 95.79 wpm (108.24 seconds elapsed during race)
Without ending ping 96.04 wpm (279 ms delay sending score to TypeRacer’s server)
Timerless 96.46 wpm (478 ms elapsed before first character typed; 107.48 seconds elapsed during race)
Timerless minus one 96.35 wpm, ignoring the first character typed
Race Start August 20, 2023 4:28:03pm UTC
Race Finish August 20, 2023 4:29:51pm UTC
Outcome No win (2 of 5)
Opponents 1. ralphwinson (97.85 wpm)
3. piyush41y08h (88.54 wpm)
Accuracy 97.6%
Points 258.64
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 udnernderstand how a change in one quantity is related to a acchange in another. How does the psspeed of a falling object change as a function of time? How doe ss the level of water ina a barrel change as ffuna fucnnction of athe amount of liquid poured into it? We see change occurring in nearly everything we observe in the world and univesrerse, and powerful modern instruments help us see more and more. In this section we intrdooduce the ideas of average inand isntnstantaneous rates of change, adnnd show that they are closely related to the slope of a rucurve at a point P on the curve. We give precise developments of these important concepts in the next chapter, but fo rnor now we use an informal approach so you will see how they lead naturally to the main idea of this chapter, the lmimit. The idea of a limit plays a foundational ruole throughout calcululs.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 478 281 149 131 184 265 88 119 74 102 77 72 148 75 224 46 170 168 75 73 92 75 52 35 72
Character e l p s u s u d n e r -r -e -n -d n d e r s t a n
Milliseconds 149 99 69 83 73 200 350 90 127 53 0 186 90 211 136 152 154 196 36 181 70 145 97 151 0
Character d h o w a c h a n g e i n o n e q u a
Milliseconds 127 37 85 47 73 117 107 122 138 67 102 70 104 60 10 107 68 104 221 48 101 100 126 250 601
Character n t i t y i s r e l a t e d t o a a c -c
Milliseconds 98 246 0 257 188 69 125 66 87 134 95 395 104 29 81 202 48 98 69 88 68 239 171 112 277
Character -a c h a n g e i n a n o t h e r . H o w d
Milliseconds 128 75 134 66 103 83 32 64 68 55 91 56 103 73 62 116 58 85 62 76 152 187 20 165 75
Character o e s t h e p s -s -p s p e e d o f a f a
Milliseconds 106 85 67 53 104 56 85 94 96 69 294 125 95 127 94 149 161 69 113 95 70 92 106 102 48
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 81 231 88 75 25 73 134 120 169 91 47 227 54 171 62 112 100 7 60 113 94 67 79 142 79
Character f u n c t i o n o f t i m e ? H o w d o e
Milliseconds 272 76 110 32 201 21 83 20 86 117 77 78 126 17 82 118 147 132 185 143 55 128 86 83 101
Character s -s - s t h e l e v e l o f w a t e r
Milliseconds 72 21 427 129 108 100 126 77 79 71 188 132 97 99 0 106 148 74 138 25 70 100 108 75 62
Character i n a - -a a b a r r e l c h a n g e a s
Milliseconds 67 58 111 119 309 130 406 68 174 190 434 80 210 56 46 103 75 89 96 78 57 44 74 100 79
Character f -f f u n -n -u -f a f u c n -n -c n c t i o n o
Milliseconds 70 220 438 395 112 114 267 140 144 72 131 83 148 109 0 455 134 282 141 213 11 36 63 106 115
Character f a -a t h e a m o u n t o f l i q u i d
Milliseconds 73 73 119 319 87 153 90 94 70 71 324 85 188 54 65 73 93 88 110 90 51 274 101 89 119
Character p o u r e d i n t o i t ? W e s e e c h
Milliseconds 163 198 59 45 62 193 25 89 108 73 123 130 93 85 146 81 147 246 108 97 58 146 63 154 75
Character a n g e o c c u r r i n g i n n e a r l y
Milliseconds 109 98 33 31 66 109 122 153 191 114 158 63 76 70 57 95 67 76 164 72 18 53 85 117 45
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 113 105 141 76 49 146 79 91 120 60 135 72 58 104 151 31 275 48 72 195 61 54 119 52 79
Character t h e w o r l d a n d u n i v e s r e -e -r -s
Milliseconds 30 121 47 134 84 106 61 129 95 39 94 86 63 58 202 86 144 55 160 75 171 21 250 161 155
Character r s e , a n d p o w e r f u l m o d e r n
Milliseconds 149 335 44 86 72 72 122 63 57 98 205 41 34 50 219 34 19 166 127 19 78 166 39 66 87
Character i n s t r u m e n t s h e l p u s s e e m
Milliseconds 156 76 39 76 149 58 205 56 132 83 57 60 93 131 115 38 107 263 74 86 96 56 174 55 76
Character o r e a n d m o r e . I n t h i s s e c
Milliseconds 63 41 36 90 69 109 55 75 71 34 77 32 184 49 222 63 157 76 65 79 88 87 102 93 198
Character t i o n w e i n t r d o -o -d o d u c e t h e
Milliseconds 251 73 0 58 82 60 72 126 166 54 63 157 794 119 282 147 889 135 202 115 23 93 115 67 32
Character i d e a s o f a v e r a g e i n -n -i a n d
Milliseconds 111 91 64 206 36 99 84 368 104 75 106 133 103 82 128 54 51 82 88 79 310 118 144 105 70
Character i s n t -t -n -s n s t a n t a n e o u s r a t e
Milliseconds 45 156 128 35 93 262 136 352 218 269 75 162 92 166 131 115 239 103 78 104 186 92 65 133 56
Character s o f c h a n g e , a d n -n -d n d s h o w
Milliseconds 75 76 102 114 94 119 72 113 60 76 34 136 18 53 135 65 356 127 201 55 72 122 74 40 95
Character t h a t t h e y a r e c l o s e l y r e
Milliseconds 73 97 79 37 96 53 121 80 89 52 90 139 117 66 11 324 91 200 48 30 112 107 51 153 39
Character l a t e d t o t h e s l o p e o f a r
Milliseconds 93 112 48 56 190 84 78 63 95 95 74 117 103 26 991 222 31 211 120 154 102 88 94 228 106
Character u -u -r c u r v e a t a p o i n t P o n
Milliseconds 111 325 168 167 178 55 860 48 101 110 116 70 164 97 101 207 56 22 35 77 184 201 148 83 65
Character t h e c u r v e . W e g i v e p r e c i s
Milliseconds 52 122 47 66 114 77 119 209 96 4 137 166 298 104 173 155 88 35 81 170 62 40 178 214 112
Character e d e v e l o p m e n t s o f t h e s e i
Milliseconds 58 70 145 158 77 93 31 247 38 208 57 122 73 38 78 196 110 105 103 90 31 176 37 77 125
Character m p o r t a n t c o n c e p t s i n t h e
Milliseconds 127 46 261 107 165 97 17 107 66 163 62 60 78 55 124 106 72 65 210 57 66 31 119 94 72
Character n e x t c h a p t e r , b u t f o r n o -o
Milliseconds 116 10 225 62 41 243 73 89 117 64 99 94 47 56 132 92 144 0 195 32 144 3 140 11 289
Character -n -r - r n o w w e u s e a n i n f o r m
Milliseconds 140 159 143 479 97 107 42 114 109 91 62 110 200 48 42 110 102 189 130 160 72 107 122 126 90
Character a l a p p r o a c h s o y o u w i l l s
Milliseconds 88 89 84 159 155 173 161 122 92 102 79 64 115 73 101 103 66 117 41 41 97 38 148 98 38
Character e e h o w t h e y l e a d n a t u r a l l
Milliseconds 80 227 97 254 51 68 110 58 103 56 64 40 62 103 18 161 76 80 74 70 165 102 78 55 162
Character y t o t h e m a i n i d e a o f t h i
Milliseconds 54 72 120 55 107 80 66 98 57 171 107 60 94 62 125 68 178 20 90 81 85 111 111 61 44
Character s c h a p t e r , t h e l m -m i m i t . T
Milliseconds 60 50 195 61 45 155 43 141 74 64 64 154 53 98 79 79 154 439 267 77 125 40 158 48 71
Character h e i d e a o f a l i m i t p l a y s
Milliseconds 137 88 86 64 61 166 60 71 100 54 123 65 126 91 46 74 150 101 120 147 70 23 89 118 85
Character a f o u n d a t i o n a l r u -u o l e t h r
Milliseconds 131 85 138 61 61 187 65 137 49 438 25 61 101 115 89 101 166 301 208 173 45 58 80 82 133
Character o u g h o u t c a l c u l u l -l s .
Milliseconds 63 44 113 79 77 103 49 99 133 118 144 83 143 70 1149 60 732 99 367
WPM Timing
Seconds WPM
2.16 66.52
4.33 85.92
6.49 77.61
8.66 90.08
10.82 86.48
12.99 83.15
15.15 91.07
17.32 90.77
19.48 94.24
21.65 97.01
23.81 95.75
25.98 95.62
28.14 94.24
30.31 89.88
32.47 88.32
34.64 88.35
36.8 89.67
38.97 90.85
41.13 92.78
43.29 94.51
45.46 93.97
47.62 94.74
49.79 95.92
51.95 97.7
54.12 98.23
56.28 94.88
58.45 95.26
60.61 94.04
62.78 93.09
64.94 93.5
67.11 94.42
69.27 95.28
71.44 94.24
73.6 92.28
75.77 93.13
77.93 93.31
80.1 93.64
82.26 94.38
84.42 95.09
86.59 94.1
88.75 94.37
90.92 94.77
93.08 95.78
95.25 96.51
97.41 97.44
99.58 97.25
101.74 97.78
103.91 97.36
106.07 97.41
108.24 95.79