Enzoo (enderboyx200)

Race #4092

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Official speed 108.66 wpm (95.42 seconds elapsed during race)
Without ending ping 109.00 wpm (294 ms delay sending score to TypeRacer’s server)
Timerless 109.31 wpm (270 ms elapsed before first character typed; 94.85 seconds elapsed during race)
Timerless minus one 109.18 wpm, ignoring the first character typed
Race Start January 17, 2024 12:41:40pm UTC
Race Finish January 17, 2024 12:43:15pm UTC
Outcome No win (3 of 3)
Accuracy 97.2%
Points 293.38
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 chanege iun oun n once quance qed quanittity is related to a chaangnge in another. How does the speed ofa f a falling object change as a funciton unction of time? How does the level fo waf water in a barrel change as a function of the amount of liquid poured intio it? We see change occurinring in nearly everything we observe in the world a nd unviiverse, 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 clioselylosely related to the slope ofa s a curvei at a point P on the curve. weWe give precis ee declovelopments o ff 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 caphapter, the limit. The idae odera a of a limt uit pimit plays a foundational role throughout calclusulus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 270 115 66 96 125 131 132 116 115 55 104 31 110 51 81 71 99 126 60 72 74 25 67 35 60
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 101 51 115 69 52 65 71 40 61 121 59 116 66 96 65 85 25 107 39 65 97 29 72 89 41
Character c h a n e -e g e i u n o -u -n - -o u n -u -n - n
Milliseconds 140 106 40 91 86 256 95 46 71 54 5 71 85 117 327 0 0 0 9 65 107 427 0 0 90
Character o n c e - -e q u a -n -c -q -u -a n c e q -q - -e -c
Milliseconds 110 71 96 75 40 62 382 106 75 151 45 880 0 0 0 0 116 84 25 91 56 296 127 146 265
Character e d - -d q u a n i t -t -i t i t y i s r e l
Milliseconds 299 0 98 304 109 187 337 110 76 80 116 34 414 111 125 80 66 75 85 91 71 44 91 45 106
Character a t e d t o a c h a a n g -g -n -a n g e i n
Milliseconds 40 101 61 106 75 75 60 66 34 116 75 82 80 182 84 111 186 117 125 161 61 55 70 60 80
Character a n o t h e r . H o w d o e s t h e s p
Milliseconds 57 39 80 102 59 76 80 27 54 121 120 96 60 35 136 66 45 75 22 79 60 72 50 100 121
Character e e d o f a f -f - -a a f a l l i n g o b
Milliseconds 90 112 121 55 79 37 30 85 105 237 116 146 241 86 75 74 61 116 111 110 77 35 59 50 136
Character j e c t c h a n g e a s a f u n c i t o n
Milliseconds 120 41 66 126 80 100 81 55 70 66 61 45 105 126 67 75 85 52 84 135 81 157 3 97 121
Character -u -n -c -i -t -o -n - u n c t i o n o f t i m e ?
Milliseconds 95 464 0 0 0 0 0 0 0 84 131 80 153 39 100 105 91 90 106 15 92 14 76 75 141
Character H o w d o e s t h e l e v e l f o w a
Milliseconds 95 167 100 65 35 126 81 51 55 40 76 62 60 63 72 84 72 59 71 51 146 8 76 82 90
Character -f - -w -a f w a t e r i n a b a r r e l c
Milliseconds 357 0 0 0 121 69 76 86 56 100 82 15 89 70 77 24 105 73 104 86 110 95 21 105 96
Character h a n g e a s a f u n c t i o n o f t h
Milliseconds 75 65 96 153 79 86 59 107 90 70 87 75 91 129 66 141 46 110 106 80 81 76 54 91 14
Character e a m o u n t o f l i q u i d p o u r e d
Milliseconds 102 61 44 60 117 50 131 70 65 24 107 81 35 115 72 91 48 91 71 125 132 121 70 51 104
Character i n t i -i o i t ? W e s e e c h a n g e
Milliseconds 61 90 80 101 87 381 151 71 95 70 157 110 152 190 70 91 176 111 45 121 115 45 106 70 61
Character o c c u r i n -n -i r i n g i n n e a r l y
Milliseconds 75 106 80 116 91 80 66 95 242 100 96 105 86 60 61 60 80 91 71 65 50 51 60 141 55
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 72 89 76 100 211 181 46 90 101 55 61 80 176 156 412 126 75 41 85 121 101 81 145 90 127
Character t h e w o r l d a - n d u n v i -i -v i v e
Milliseconds 55 462 66 40 96 90 70 71 100 49 77 96 291 197 85 40 96 126 80 106 252 110 171 70 51
Character r s e , a n d p o w e r f u l m o d e r n
Milliseconds 110 91 70 35 151 9 78 119 31 60 121 50 29 42 150 30 106 76 75 91 55 116 25 96 90
Character i n s t r u m e n t s h e l p u s s e e m
Milliseconds 71 80 60 56 96 30 155 111 66 80 71 40 75 106 76 100 80 101 66 35 135 186 121 101 65
Character o r e a n d m o r e . I n t h i s s e c
Milliseconds 101 70 56 19 87 85 71 54 67 105 50 35 76 125 136 111 70 66 60 30 66 60 111 75 81
Character t i o n w e i n t r o d u c e t h e i d e
Milliseconds 166 85 111 100 102 34 56 105 80 81 76 110 36 191 125 41 60 70 71 25 96 65 82 75 115
Character a s o f a v e r a g e a n d i n s t a n t
Milliseconds 29 111 105 56 101 40 101 151 116 75 141 45 76 91 34 106 61 50 70 85 41 62 85 50 111
Character a n e o u s r a t e s o f c h a n g e , a
Milliseconds 294 143 251 161 75 86 75 95 71 86 75 86 201 146 50 65 131 78 189 25 126 60 50 91 30
Character n d s h o w t h a t t h e y a r e c l i
Milliseconds 91 62 33 138 53 116 307 116 146 110 15 66 60 121 65 96 45 77 44 55 61 55 90 51 110
Character o s e l y -l -i -o -s -e -l -y l o s e l y r e l a t e
Milliseconds 0 52 29 80 61 458 0 0 0 0 0 0 44 86 76 19 97 65 91 66 64 77 79 66 45
Character d t o t h e s l o p e o f a s -s - -a a
Milliseconds 121 45 101 40 80 76 46 80 45 95 73 124 105 111 19 92 75 55 76 166 181 116 125 101 50
Character c u r v e i - -i a t a p o i n t P o
Milliseconds 111 96 110 96 151 105 9 198 131 110 136 75 72 74 57 93 61 131 121 80 81 60 166 86 100
Character n t h e c u r v e . w e -e -w W e g i v e
Milliseconds 111 80 61 55 91 61 361 101 55 141 81 50 141 171 196 240 127 95 262 116 85 96 64 31 101
Character p r e c i s e -e - e d e c l o -o -l -c v e l o p
Milliseconds 55 96 55 111 85 101 106 135 237 116 81 34 116 100 76 116 125 302 116 136 60 60 92 120 110
Character m e n t s o f -f - f t h e s e i m p o r t
Milliseconds 146 116 40 102 58 177 176 91 15 383 100 105 35 101 76 64 102 56 64 101 94 162 111 86 125
Character a n t c o n c e p t s i n t h e n e x t
Milliseconds 80 56 71 71 116 44 90 87 49 66 95 92 69 66 95 45 66 50 96 19 97 75 122 150 76
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 110 66 95 110 91 90 71 39 122 86 60 65 76 100 62 99 55 66 100 56 50 111 80 66 76
Character s e a n i n f o r m a l a p p r o a c h s
Milliseconds 60 34 81 66 70 76 106 90 90 76 85 52 84 140 112 151 110 101 76 90 85 81 50 106 90
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 41 95 76 30 55 101 40 45 141 102 54 55 188 99 91 106 105 60 47 79 45 101 50 91 69
Character e a d n a t u r a l l y t o t h e m a i n
Milliseconds 62 55 96 70 72 54 75 101 61 80 45 111 35 69 112 55 76 106 65 85 31 70 101 60 91
Character i d e a o f t h i s c a p -p -a h a p t e r
Milliseconds 70 101 70 111 55 56 120 56 61 79 21 45 75 51 135 197 151 206 100 167 95 45 76 106 70
Character , t h e l i m i t . T h e i d a e o -d -a
Milliseconds 50 65 86 50 86 50 40 85 123 59 106 80 132 105 95 96 45 91 90 121 4 97 86 452 0
Character -e - -o d e r a - -a -r a o f a l i m t - -t
Milliseconds 0 0 0 121 120 4 22 95 382 111 141 65 76 91 56 64 35 96 25 111 110 126 86 272 291
Character u i t p -i -m -u -i -t - -p i m i t p l a y s a
Milliseconds 182 4 75 42 64 484 0 0 0 0 0 0 140 115 81 116 80 161 121 86 95 66 50 90 76
Character f o u n d a t i o n a l r o l e t h r o u g h
Milliseconds 55 76 45 136 70 61 70 60 101 116 86 75 81 75 66 120 95 35 61 59 102 19 76 111 55
Character o u t c a l c l u s -s -u -l u l u s .
Milliseconds 136 61 40 50 126 45 81 80 97 89 132 262 121 130 195 137 111 69 112
WPM Timing
Seconds WPM
1.91 113.19
3.82 141.48
5.73 121.57
7.63 95.89
9.54 77.97
11.45 71.27
13.36 77.25
15.27 79.39
17.18 87.34
19.08 86.15
20.99 91.46
22.9 88.56
24.81 93.84
26.72 94.77
28.63 97.26
30.53 101
32.44 100.98
34.35 101.66
36.26 102.27
38.17 102.5
40.08 102.11
41.98 100.9
43.89 102.8
45.8 105.07
47.71 106.4
49.62 107.62
51.53 109
53.43 109.37
55.34 110.37
57.25 110.88
59.16 110.55
61.07 110.04
62.98 109.57
64.88 109.86
66.79 108.88
68.7 107.07
70.61 106.22
72.52 106.73
74.43 107.87
76.33 109.26
78.24 109.81
80.15 110.79
82.06 111.87
83.97 111.62
85.88 112.21
87.78 110.45
89.69 108.77
91.6 109
93.51 109.98
95.42 108.66