Moritz (elagon)

Race #5409

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Official speed 101.12 wpm (102.53 seconds elapsed during race)
Without ending ping 101.26 wpm (139 ms delay sending score to TypeRacer’s server)
Timerless 101.70 wpm (442 ms elapsed before first character typed; 101.95 seconds elapsed during race)
Timerless minus one 101.58 wpm, ignoring the first character typed
Race Start November 6, 2023 12:55:23pm UTC
Race Finish November 6, 2023 12:57:06pm UTC
Outcome No win (4 of 5)
Opponents 1. umm_eran (103.77 wpm)
2. thelastmuffin (103.11 wpm)
3. vividkun (101.68 wpm)
Accuracy 96.6%
Points 273.01
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 a change in one quantitiy is related to a change ina no another. How does the speed of a falling object change as a fucntinction of time? How does the level of water ina a a barrel change as a function of the amount of liqui d puoroured into tiit? We see change occurring in nearly everything we boseobserve in the world and universe, and powerful modern instruments help us see more qandand more. INn this section we introduce the ideas of average and instatnntaneous rates of achange, and show that they rare closely related to the slpeope of a curve at a point P on the cuve.rve. GWe give precise cevdevelopments of these important concept sin s in the next chapter, but for now we suuse an informal approach so you will see how they lead naturally to th emae main ideao f of this chapter, the limit. The idea of a limip t polalay a fs a offoundational role throughout claalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 442 118 132 93 116 114 132 111 68 68 136 16 388 158 116 87 129 135 44 93 89 16 75 108 138
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 134 67 68 87 116 179 95 86 68 134 69 157 42 182 539 113 70 112 66 68 48 62 137 95 84
Character c h a n g e i n o n e q u a n t i t i -i y
Milliseconds 91 91 91 62 97 64 17 119 91 89 44 92 66 78 103 44 178 24 205 43 180 94 289 90 66
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 66 141 109 142 63 141 82 67 94 133 72 82 95 42 71 86 91 65 95 88 69 42 44 89 90
Character a n o -o -n - -a a n o t h e r . H o w d o e
Milliseconds 95 86 90 93 221 135 139 155 114 45 134 67 114 64 69 42 71 65 138 157 133 72 41 137 19
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 92 92 71 38 94 90 23 66 90 134 138 115 0 245 131 71 135 245 70 90 132 90 65 72 93
Character o b j e c t c h a n g e a s a f u c n t i
Milliseconds 66 63 116 44 181 155 44 117 64 115 67 89 19 143 36 102 109 65 113 43 113 71 91 109 64
Character -i -t -n -c n c t i o n o f t i m e ? H o w d
Milliseconds 253 137 152 137 218 107 105 12 78 67 87 93 91 82 94 48 42 70 155 160 132 248 112 91 68
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 89 67 68 92 130 70 92 21 88 69 111 93 91 43 114 40 68 92 113 64 179 21 47 93 63
Character a a -a - - -a a b a r r e l c h a n g e
Milliseconds 71 26 159 65 248 159 134 154 162 89 115 203 111 109 158 86 92 69 113 40 96 65 115 42 66
Character a s a f u n c t i o n o f t h e a m o u
Milliseconds 116 89 97 85 64 116 90 156 45 155 69 68 46 68 112 111 0 183 41 184 108 94 88 67 113
Character n t o f l i q u i - d p u o r -r -o -u o u r
Milliseconds 137 182 111 42 115 46 111 91 90 156 112 362 293 88 67 89 93 131 118 178 158 112 203 69 42
Character e d i n t o t i -i -t i t ? W e s e e c h
Milliseconds 41 167 38 72 66 86 69 139 175 21 342 134 180 66 207 156 114 223 92 86 68 158 48 134 72
Character a n g e o c c u r r i n g i n n e a r l y
Milliseconds 88 63 118 12 101 109 88 110 112 120 106 114 64 115 67 70 44 69 110 47 134 43 138 112 64
Character e v e r y t h i n g w e b o s e -e -s -o -b o b s
Milliseconds 116 43 138 89 116 112 68 65 89 90 42 119 63 92 176 69 112 69 201 136 159 135 182 83 96
Character e r v e i n t h e w o r l d a n d u n i
Milliseconds 70 106 139 94 66 68 60 70 47 92 44 110 43 68 64 99 87 42 160 41 114 92 158 138 39
Character v e r s e , a n d p o w e r f u l m o d e r
Milliseconds 45 116 69 66 220 161 91 113 39 139 16 124 63 89 45 44 157 69 44 112 116 67 43 135 0
Character n i n s t r u m e n t s h e l p u s s e e
Milliseconds 113 44 70 87 25 44 163 40 136 66 135 69 88 46 68 112 44 68 64 95 88 95 90 129 165
Character m o r e q a n d -d -n -a -q a n d m o r e . I
Milliseconds 93 38 70 48 62 94 73 0 55 118 244 158 134 132 95 114 67 41 45 90 46 46 91 43 223
Character N -N n t h i s s e c t i o n w e i n t r o
Milliseconds 0 341 425 93 133 45 46 89 155 0 93 207 131 45 88 41 71 90 45 92 88 72 92 110 66
Character d u c e t h e i d e a s o f a v e r a g e
Milliseconds 96 128 91 160 89 63 68 96 67 72 36 163 221 111 93 45 113 64 93 90 131 70 132 67 71
Character a n d i n s t a t n -n -t n t a n e o u s r a
Milliseconds 43 132 70 120 39 92 68 66 65 158 224 46 339 115 153 135 204 112 115 223 112 113 66 117 85
Character t e s o f a -a c h a n g e , a n d s h o w
Milliseconds 95 63 157 136 69 115 65 115 314 88 67 91 66 116 62 73 43 91 71 109 42 95 91 42 138
Character t h a t t h e y r -r a r e c l o s e l y
Milliseconds 65 629 42 116 91 61 117 68 89 95 38 206 356 44 69 70 21 141 14 386 158 41 206 94 110
Character r e l a t e d t o t h e s l p e -e -p o p e
Milliseconds 89 43 110 31 154 69 131 117 88 44 91 42 92 91 114 0 112 87 140 222 135 225 67 89 69
Character o f a c u r v e a t a p o i n t P o
Milliseconds 64 95 91 61 71 89 134 93 132 94 42 142 89 84 94 65 109 46 69 93 39 175 49 280 112
Character n t h e c u v e . -. -e -v r v e . G -G W e g
Milliseconds 58 51 87 97 37 73 93 90 241 88 138 291 135 157 47 156 46 115 41 158 336 133 210 86 67
Character i v e p r e c i s e c e v -v -e -c d e v e l o p
Milliseconds 135 25 68 72 38 112 89 159 67 112 93 88 113 160 154 180 133 163 42 157 89 137 41 184 88
Character m e n t s o f t h e s e i m p o r t a n t
Milliseconds 113 116 89 88 91 16 96 115 18 110 47 91 115 69 21 89 63 48 68 94 162 62 117 82 68
Character c o n c e p t s i n - -n -i -s - s i n t h e
Milliseconds 137 89 89 92 158 40 113 93 20 115 44 71 269 137 129 162 158 134 17 139 67 24 67 93 88
Character n e x t c h a p t e r , b u t f o r n o
Milliseconds 66 42 69 160 116 88 112 67 93 41 114 138 59 0 49 133 74 85 65 92 43 98 40 69 42
Character w w e s u -u -s u s e a n i n f o r m a l
Milliseconds 74 111 21 186 33 142 71 325 120 180 65 20 70 89 46 94 334 89 64 93 68 225 135 113 71
Character a p p r o a c h s o y o u w i l l s e e
Milliseconds 61 44 162 156 103 75 96 90 70 88 64 120 307 68 47 65 71 75 15 162 114 18 70 104 135
Character h o w t h e y l e a d n a t u r a l l y t
Milliseconds 162 43 110 111 134 163 67 221 92 70 113 132 66 45 93 95 62 114 44 111 92 112 93 68 223
Character o t h e m a -a -m -e - e m a i n i d e a o
Milliseconds 44 91 88 71 65 0 134 114 245 137 156 139 157 66 71 89 86 67 71 67 17 139 111 94 110
Character f -f - -o o f t h i s c h a p t e r , t h e
Milliseconds 91 292 134 158 113 134 45 161 110 62 46 93 93 88 93 42 96 79 119 90 87 46 156 70 114
Character l i m i t . T h e i d e a o f a l i m
Milliseconds 17 96 19 71 111 90 112 89 89 137 68 89 43 139 130 93 112 17 164 91 61 71 138 89 45
Character i p - -p t p o l a -a -l -o l a y a f -f - -a -
Milliseconds 107 207 250 267 136 135 45 92 16 118 68 266 161 134 206 65 160 67 92 61 120 241 137 155 158
Character s a o f -f -o f o u n d a t i o n a l r o l e
Milliseconds 139 154 68 115 111 44 295 159 197 95 40 159 67 114 44 111 65 118 90 88 89 94 66 134 16
Character t h r o u g h o u t c l a -a -l a l c u l u s .
Milliseconds 141 63 113 71 91 67 113 42 204 66 112 69 160 112 0 447 133 97 88 90 91 133 116 67 112
WPM Timing
Seconds WPM
2.05 76.07
4.1 99.48
6.15 99.48
8.2 103.87
10.25 108.84
12.3 104.36
14.35 107.84
16.41 108.99
18.46 104.68
20.51 105.33
22.56 109.59
24.61 104.36
26.66 107.13
28.71 107.84
30.76 102.6
32.81 101.31
34.86 102.24
36.91 104.03
38.96 101.95
41.01 103.87
43.06 105.61
45.11 107.2
47.16 106.61
49.22 105.58
51.27 106.74
53.32 107.58
55.37 105.77
57.42 105.96
59.47 105.74
61.52 105.33
63.57 104.77
65.62 105.7
67.67 104.62
69.72 104.3
71.77 103.16
73.82 104.36
75.87 102.8
77.92 103.95
79.97 104.13
82.03 104.16
84.08 104.62
86.13 104.92
88.18 104.11
90.23 103.47
92.28 104.29
94.33 103.81
96.38 102.35
98.43 101.07
100.48 101.63
102.53 101.12