minnie (aceycanttype)

Race #4103

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Official speed 140.48 wpm (73.80 seconds elapsed during race)
Without ending ping 140.92 wpm (232 ms delay sending score to TypeRacer’s server)
Timerless 141.41 wpm (252 ms elapsed before first character typed; 73.32 seconds elapsed during race)
Timerless minus one 141.24 wpm, ignoring the first character typed
Race Start October 25, 2023 5:23:15am UTC
Race Finish October 25, 2023 5:24:29am UTC
Outcome No win (2 of 5)
Opponents 1. kahow (150.39 wpm)
3. sstormwolf22 (131.27 wpm)
Accuracy 98.0%
Points 379.29
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 uintunderstand 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 pou redpored into it? We cansee change occuring inucoccurring in nearlt ly evefryeverything we obserfveve in teh wthe world and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instantatnneous rates of change, and show that they are closely related to the slope of a curve at a point P on tehthe curve. We give precise devleodevelopments 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.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 252 156 84 79 97 90 95 121 90 66 66 57 89 65 102 78 109 114 102 72 61 48 44 23 49
Character e l p s u s u i n t -u -i -n -t u n d e r s t a n
Milliseconds 71 149 92 102 73 69 72 78 72 3 81 59 252 0 0 0 144 61 41 84 74 90 80 72 57
Character d h o w a c h a n g e i n o n e q u a
Milliseconds 71 81 29 54 29 74 524 128 75 80 58 74 61 70 23 55 81 58 48 48 62 98 53 59 83
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 67 132 91 83 116 108 60 78 41 74 66 48 96 46 87 92 57 84 49 61 47 103 86 89 65
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 73 69 51 23 56 54 48 47 87 65 48 78 35 55 66 92 125 110 66 96 40 80 76 54 18
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 111 40 82 44 94 52 102 125 55 85 56 63 61 53 85 49 74 45 206 94 91 54 72 64 81
Character j e c t c h a n g e a s a f u n c t i o n
Milliseconds 82 39 61 136 44 109 28 79 54 54 54 61 29 94 81 76 52 50 96 70 17 144 55 72 72
Character o f t i m e ? H o w d o e s t h e l e
Milliseconds 103 41 61 78 79 61 54 27 188 92 103 125 48 89 49 76 75 35 43 84 35 57 59 67 28
Character v e l o f w a t e r i n a b a r r e l
Milliseconds 122 52 97 175 72 67 85 33 69 72 72 84 6 59 66 49 78 79 71 49 59 134 60 95 84
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 199 55 65 55 75 52 77 23 122 97 42 96 47 85 74 21 172 27 81 70 92 27 85 60 93
Character h e a m o u n t o f l i q u i d p o u r
Milliseconds 22 62 83 54 91 65 42 49 72 47 42 87 40 48 81 66 73 65 67 58 48 58 102 20 62
Character e d -r -e -d p o -o -p - r e d i n t o i t ? W e
Milliseconds 89 104 205 0 0 143 82 271 144 138 115 55 104 91 63 55 102 41 97 63 63 189 89 108 155
Character c a n -c -a -n s e e c h a n g e o c c u r i n
Milliseconds 117 46 60 66 289 0 0 219 35 139 77 84 57 45 74 47 72 53 49 56 137 74 88 66 75
Character g i n -o -c -c -u -r -i -n -g - -i -n u c -c -u o c c u r r
Milliseconds 39 84 30 75 233 0 0 0 0 0 0 0 0 0 0 188 40 210 128 168 54 119 112 81 128
Character i n g i n n e a r l t - -t -l l y e v e f r
Milliseconds 77 60 66 60 36 60 79 91 58 32 41 66 115 48 250 126 120 429 115 67 65 118 62 19 100
Character y -e -v -e -f -r -y e v e r y t h i n g w e o b s e
Milliseconds 44 326 0 0 0 0 0 144 60 114 61 41 111 46 53 67 81 64 35 54 43 102 67 62 34
Character r f v e -e -v -f v e i n t e h w -t -e -h - -w t h
Milliseconds 48 99 95 83 311 145 115 77 54 49 36 78 84 29 76 21 153 34 259 0 0 0 0 176 52
Character e w o r l d a n d u n i v e r s e , a n d
Milliseconds 85 72 66 74 76 70 92 68 79 46 60 61 60 102 60 42 97 85 92 58 98 70 66 44 64
Character p o w e r f u l m o d e r n i n s t r u m e
Milliseconds 62 70 63 27 37 54 129 40 67 97 53 64 56 93 82 35 74 22 81 106 67 66 65 127 91
Character n t s h e l p u s s e e m o r e a n d
Milliseconds 54 86 52 67 35 102 49 85 65 69 77 59 111 40 152 78 46 65 18 31 81 51 56 77 67
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 55 49 39 42 73 80 151 99 109 66 42 43 47 81 82 60 54 175 22 88 34 97 60 29 73
Character i n t r o d u c e t h e i d e a s o f a v
Milliseconds 78 67 43 41 60 96 76 88 52 92 76 44 40 80 29 82 68 68 80 98 56 54 67 42 96
Character e r a g e a n d i n s t a n t a t n -n -t n e o
Milliseconds 101 78 92 66 59 36 69 95 59 79 68 45 54 62 90 119 85 103 91 122 214 114 128 63 97
Character u s r a t e s o f c h a n g e , a n d s
Milliseconds 48 48 117 46 87 108 58 59 54 68 65 60 121 53 92 60 41 60 55 111 52 67 58 92 108
Character h o w t h a t t h e y a r e c l o s e l y
Milliseconds 116 46 53 73 80 52 37 72 41 99 21 110 41 134 47 79 28 54 98 71 97 73 28 73 85
Character r e l a t e d t o t h e s l o p e o f
Milliseconds 60 102 138 334 52 73 53 123 52 458 75 73 37 75 15 85 77 70 109 83 71 58 75 47 71
Character a c u r v e a t a p o i n t P o n t
Milliseconds 48 72 23 111 74 137 52 37 67 78 41 87 72 73 39 43 150 41 97 141 401 100 66 114 13
Character e h -t -e -h t h e c u r v e . W e g i v e p
Milliseconds 139 29 446 0 0 128 60 67 60 97 52 102 157 42 73 90 108 149 135 71 68 93 38 29 54
Character r e c i s e d e v l e o -d -e -v -l -e -o d e v e l o
Milliseconds 93 51 123 114 64 55 59 61 100 75 53 30 119 307 0 0 0 0 0 130 70 97 41 25 126
Character p m e n t s o f t h e s e i m p o r t a n t
Milliseconds 80 100 93 58 78 54 66 74 71 55 109 22 61 114 66 78 54 91 79 10 43 72 79 66 90
Character c o n c e p t s i n t h e n e x t c h a
Milliseconds 66 103 18 72 67 53 48 137 71 52 54 65 68 108 77 63 71 53 54 66 36 61 129 39 115
Character p t e r , b u t f o r n o w w e u s e
Milliseconds 65 96 74 77 63 70 67 74 33 79 65 60 76 75 60 61 35 94 90 76 102 77 68 35 114
Character a n i n f o r m a l a p p r o a c h s o y
Milliseconds 48 85 84 24 72 36 95 75 83 79 83 115 43 96 84 107 112 77 76 48 103 63 56 106 45
Character o u w i l l s e e h o w t h e y l e a d
Milliseconds 61 24 86 34 78 53 130 93 69 34 136 87 78 36 24 117 35 67 71 53 63 90 53 41 66
Character n a t u r a l l y t o t h e m a i n i d
Milliseconds 60 79 60 61 85 52 72 56 128 81 102 85 48 117 70 43 98 53 54 65 86 70 36 78 60
Character e a o f t h i s c h a p t e r , t h e l
Milliseconds 67 66 73 61 52 84 74 59 54 36 73 84 42 41 91 87 84 77 41 80 70 73 50 67 99
Character i m i t . T h e i d e a o f a l i m i t
Milliseconds 139 85 71 108 108 104 113 91 89 43 48 97 59 74 85 63 50 86 54 72 51 86 86 77 97
Character p l a y s a f o u n d a t i o n a l r o l
Milliseconds 65 41 42 118 45 114 43 90 68 127 63 55 71 55 73 113 48 72 54 68 73 66 58 74 125
Character e t h r o u g h o u t c a l c u l u s .
Milliseconds 66 36 122 9 110 23 51 105 49 159 64 103 91 91 69 19 102 18 91 98 106 50
WPM Timing
Seconds WPM
1.48 113.81
2.95 134.14
4.43 130.07
5.9 128.04
7.38 133.33
8.86 142.27
10.33 144.01
11.81 146.33
13.28 149.95
14.76 150.4
16.24 152.98
17.71 152.43
19.19 153.84
20.67 153.88
22.14 146.88
23.62 142.78
25.09 139.64
26.57 134.14
28.05 132.21
29.52 126.82
31 128.14
32.47 124.53
33.95 125.83
35.43 128.04
36.9 129.75
38.38 131.32
39.85 133.09
41.33 134.72
42.81 135.12
44.28 134.41
45.76 135.58
47.23 136.43
48.71 135
50.19 136.29
51.66 135.65
53.14 134.14
54.62 134.25
56.09 132.86
57.57 134.03
59.04 134.95
60.52 135.82
62 136.46
63.47 136.88
64.95 138.02
66.42 138.57
67.9 139.44
69.38 139.41
70.85 139.9
72.33 140.69
73.8 140.48