M00tya (m00tya)

Race #272

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Official speed 102.67 wpm (100.98 seconds elapsed during race)
Without ending ping 103.09 wpm (407 ms delay sending score to TypeRacer’s server)
Timerless 103.39 wpm (300 ms elapsed before first character typed; 100.28 seconds elapsed during race)
Timerless minus one 103.27 wpm, ignoring the first character typed
Race Start November 21, 2023 2:36:57pm UTC
Race Finish November 21, 2023 2:38:38pm UTC
Outcome No win (2 of 5)
Opponents 1. thelastmuffin (111.02 wpm)
3. krishhhhna (102.07 wpm)
4. gushinartem (101.28 wpm)
5. alfabetica (90.64 wpm)
Accuracy 98.1%
Points 277.20
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 hlepelps us understand how a change in one quantity is reallated to a change in another. How dowes the speed of a falling object change as a function of time? How odoes the lever o ll of water in a barrel change as a function of the amount of liquieed poured into it? We see change uccoccurring in hnearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we intdoroduce the ideas of average ad innd 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 conccetpts in the next chapter, but for now uswe use a n informal approach so you will seee how they lead naturally to the main idea of this cahapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 300 132 126 83 174 343 131 101 53 133 72 43 140 60 126 89 110 110 65 124 89 44 73 50 52
Character l e p -p -e -l e l p s u s u n d e r s t a n d
Milliseconds 101 13 261 215 127 121 118 85 148 92 42 148 79 56 169 118 105 133 32 99 126 76 81 101 42
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 91 41 69 55 107 63 147 116 86 48 135 47 53 117 49 84 106 68 106 42 201 108 132 252 157
Character i t y i s r e a l -l -a l a t e d t o a c
Milliseconds 126 97 161 115 192 107 51 182 49 208 149 210 112 171 52 82 56 166 51 109 100 73 68 101 81
Character h a n g e i n a n o t h e r . H o w d o w
Milliseconds 100 75 41 126 59 43 48 43 96 61 85 39 100 50 82 44 83 114 134 75 140 46 355 60 99
Character -w e s t h e s p e e d o f a f a l l i n
Milliseconds 399 101 140 50 151 75 56 51 101 142 92 125 157 51 123 86 37 116 61 366 65 129 129 54 81
Character g o b j e c t c h a n g e a s a f u n c
Milliseconds 77 56 183 109 133 99 142 132 58 143 99 131 18 127 83 72 170 181 58 108 60 140 92 131 93
Character t i o n o f t i m e ? H o w o -o d o e s
Milliseconds 117 44 24 31 116 102 50 49 132 52 42 114 169 190 216 191 100 43 284 300 73 124 67 109 66
Character t h e l e v e r o -o - -r l -l - l o f w a
Milliseconds 124 76 75 25 125 82 118 122 52 51 148 284 125 133 216 17 364 118 201 65 126 58 49 217 91
Character t e r i n a b a r r e l c h a n g e a s
Milliseconds 125 148 31 46 98 47 81 76 80 143 198 302 155 100 114 79 83 140 51 116 60 65 65 86 157
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 61 107 81 193 103 121 101 125 32 25 83 75 82 35 57 94 91 49 50 98 85 73 100 128 71
Character o f l i q u i e -e e -e d p o u r e d i n t
Milliseconds 51 104 90 41 82 51 199 107 41 95 399 133 338 87 47 161 24 256 115 46 196 76 93 42 91
Character o i t ? W e s e e c h a n g e u c c -c -c
Milliseconds 72 126 145 89 176 91 211 155 72 136 122 129 54 122 64 92 47 95 66 33 166 85 98 298 124
Character -u o c c u r r i n g i n h -h n e a r l y e v
Milliseconds 119 191 109 107 118 106 201 140 45 81 43 114 32 92 167 291 204 57 36 56 90 90 86 223 156
Character e r y t h i n g w e o b s e r v e i n t h
Milliseconds 110 58 93 106 103 62 77 50 44 122 50 57 201 99 217 112 40 249 62 481 106 50 92 84 66
Character e w o r l d a n d u n i v e r s e , a n d
Milliseconds 75 41 108 91 42 76 81 44 167 91 88 42 144 117 106 107 176 50 118 74 110 117 67 74 66
Character p o w e r f u l m o d e r n i n s t r u m e
Milliseconds 55 77 23 75 29 46 159 68 42 115 292 98 111 138 59 158 100 144 55 109 182 110 93 121 118
Character n t s h e l p u s s e e m o r e a n d
Milliseconds 84 99 88 45 143 76 40 185 122 109 91 60 175 216 132 132 15 87 218 49 240 192 117 91 43
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 55 87 73 59 50 123 119 116 106 177 58 48 60 65 102 116 215 143 81 27 26 97 94 41 58
Character i n t d o -o -d r o d u c e t h e i d e a s o
Milliseconds 159 41 505 410 124 273 110 84 97 71 137 185 189 44 149 125 76 60 172 32 152 83 181 42 177
Character f a v e r a g e a d i n -n -i - -d n d i n s
Milliseconds 59 40 201 139 111 256 48 168 58 35 116 218 39 152 30 292 125 142 124 177 68 46 110 42 76
Character t a n t a n e o u s r a t e s o f c h a n g
Milliseconds 96 58 119 131 184 150 242 259 39 86 48 152 56 151 51 164 60 142 89 35 167 90 83 133 125
Character e , a n d s h o w t h a t t h e y a r e
Milliseconds 76 108 134 114 101 66 25 115 74 38 99 55 109 86 42 47 33 111 98 61 83 89 83 84 76
Character c l o s e l y r e l a t e d t o t h e s
Milliseconds 42 164 35 107 150 100 91 85 162 118 276 108 117 123 62 164 40 93 67 76 81 78 63 37 114
Character l o p e o f a c u r v e a t a p o i n
Milliseconds 91 125 118 157 82 85 85 49 83 98 91 109 102 181 76 67 105 122 57 131 99 85 24 177 50
Character t P o n t h e c u r v e . W e g i v e
Milliseconds 65 47 284 19 526 63 96 111 71 55 43 142 116 99 165 77 82 100 159 133 83 91 75 76 68
Character p r e c i s e d e v e l o p m e n t s o f
Milliseconds 47 251 75 44 271 111 125 131 59 215 125 127 88 67 118 83 259 109 73 57 84 91 171 97 42
Character t h e s e i m p o r t a n t c o n c c -c e t -t
Milliseconds 120 78 50 176 49 52 115 57 210 26 104 120 83 222 120 40 301 66 38 227 123 356 85 174 417
Character p t s i n t h e n e x t c h a p t e r ,
Milliseconds 195 57 91 158 202 39 68 89 77 72 37 81 69 145 170 65 162 108 66 115 172 127 67 42 139
Character b u t f o r n o w u s -s -u w e u s e a
Milliseconds 109 43 91 33 116 83 52 42 117 40 41 66 133 50 209 107 111 56 46 149 77 47 40 102 58
Character - n i n f o r m a l a p p r o a c h s o y
Milliseconds 459 200 64 145 32 542 72 160 288 96 107 84 91 116 108 93 107 99 140 109 59 141 99 77 134
Character o u w i l l s e e e - -e h o w t h e y
Milliseconds 56 57 101 74 69 25 107 82 93 100 115 134 68 373 118 109 100 33 96 59 200 59 74 60 98
Character l e a d n a t u r a l l y t o t h e m a i
Milliseconds 44 92 56 149 33 267 51 118 103 69 92 135 123 115 86 107 77 73 93 67 72 34 75 163 84
Character n i d e a o f t h i s c a -a h a p t e r ,
Milliseconds 56 121 200 86 114 75 101 141 99 53 96 68 51 38 44 182 177 274 148 58 91 59 129 46 57
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 109 144 89 60 39 78 35 165 93 141 82 125 166 141 56 55 139 66 128 56 81 142 58 53 98
Character l i m i t p l a y s a f o u n d a t i o n
Milliseconds 59 100 39 169 116 133 42 196 143 99 86 124 52 124 83 200 57 42 110 96 75 159 59 34 49
Character a l r o l e t h r o u g h o u t c a l c u l
Milliseconds 151 150 97 171 46 100 90 36 132 84 101 66 43 58 99 322 37 105 37 171 166 152 199 125 191
Character u s .
Milliseconds 143 109 456
WPM Timing
Seconds WPM
2.02 89.12
4.04 83.18
6.06 99.03
8.08 102.49
10.1 96.25
12.12 105.96
14.14 102.7
16.16 103.98
18.18 104.31
20.2 105.76
22.22 104.25
24.24 98.04
26.26 98.26
28.28 100.58
30.3 102.99
32.31 101.01
34.33 101.36
36.35 99.03
38.37 99.13
40.39 98.93
42.41 100.44
44.43 101.82
46.45 102.3
48.47 102
50.49 103.15
52.51 101.23
54.53 101.23
56.55 99.95
58.57 99.16
60.59 100.02
62.61 101.58
64.63 101.93
66.65 102.63
68.67 102.75
70.69 102.87
72.71 102.82
74.73 103.25
76.75 101.63
78.77 101.92
80.79 102.34
82.81 101.44
84.83 101.71
86.85 101.28
88.87 101.82
90.89 102.72
92.91 102.56
94.92 103.03
96.94 103.48
98.96 103.67
100.98 102.67