📵 (sstormwolf22)

Race #806

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Official speed 131.27 wpm (78.98 seconds elapsed during race)
Without ending ping 131.67 wpm (242 ms delay sending score to TypeRacer’s server)
Timerless 131.99 wpm (190 ms elapsed before first character typed; 78.55 seconds elapsed during race)
Timerless minus one 131.84 wpm, ignoring the first character typed
Race Start October 25, 2023 5:23:15am UTC
Race Finish October 25, 2023 5:24:34am UTC
Outcome No win (3 of 5)
Opponents 1. kahow (150.39 wpm)
2. aceycanttype (140.48 wpm)
Accuracy 97.9%
Points 354.42
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 quantity is realetrelated to a change in another. How does the speed of a falling object hchange 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 pwowerful modern instrumteents help us see more and more. In this section we introducte the ideas of raverage and instantenoaneinstantaneous rates of change, and show that they are cloceslclosely related to the slope of a curve at a point P on the curve. We gie ve precise developments of these importrant important concepts in the next chapetr, chapter, but for now we use an informal approach so you will see thow they lead naturally to the main idea of this chapter, thielimithe limit. The idea of a limit plays a foundaittional 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 190 128 60 159 76 65 92 108 61 125 80 62 94 78 77 65 142 108 47 79 58 65 33 45 64
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 77 62 83 43 29 147 92 59 94 48 49 90 145 77 63 185 109 80 63 93 60 64 78 94 47
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 96 27 110 81 126 60 64 76 65 50 72 63 47 50 153 50 108 46 94 61 125 65 61 111 139
Character r e a l e t -r -e -a -l -e -t r e l a t e d t o a
Milliseconds 107 95 62 94 63 64 47 314 0 0 0 0 0 153 29 65 110 46 66 93 75 79 62 46 79
Character c h a n g e i n a n o t h e r . H o w d
Milliseconds 62 97 29 128 28 125 48 64 75 50 46 171 79 45 81 62 32 75 95 45 127 34 73 111 44
Character o e s t h e s p e e d o f a f a l l i n
Milliseconds 113 32 92 80 93 46 30 63 63 31 50 124 74 82 109 94 61 78 49 124 79 140 107 110 46
Character g o b j e c t h -h c h a n g e a s a f u
Milliseconds 78 32 78 63 156 17 47 34 43 112 308 143 33 109 47 107 34 63 75 47 62 61 64 67 58
Character n c t i o n o f t i m e ? H o w d o e s
Milliseconds 63 78 32 49 43 48 32 124 83 60 78 43 49 32 283 61 132 40 79 60 63 111 109 205 110
Character t h e l e v e l o f w a t e r i n a b
Milliseconds 92 31 12 48 113 26 97 64 29 81 77 76 127 126 64 76 47 78 28 111 47 32 110 78 153
Character a r r e l c h a n g e a s a f u n c t i o
Milliseconds 190 112 156 233 61 77 64 80 94 46 91 79 62 63 60 64 82 59 77 49 64 76 16 80 29
Character n o f t h e a m o u n t o f l i q u i d
Milliseconds 49 60 95 46 65 46 48 45 32 95 75 65 78 15 47 63 125 91 50 60 66 91 63 139 171
Character p o u r e d i n t o i t ? W e s e e c
Milliseconds 62 110 66 59 81 95 63 58 67 62 77 64 62 94 59 251 46 79 81 59 80 93 112 77 44
Character h a n g e o c c u r r i n g i n n e a r l y
Milliseconds 63 81 44 79 64 48 106 79 125 46 93 113 32 61 61 64 91 64 64 108 63 108 45 49 45
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 30 126 68 77 45 66 57 65 61 77 32 65 127 31 61 107 65 79 93 60 32 47 79 108 33
Character t h e w o r l d a n d u n i v e r s e ,
Milliseconds 64 15 60 33 60 64 48 109 61 77 81 76 49 94 29 96 76 47 140 77 95 48 294 190 80
Character a n d p w -w o w e r f u l m o d e r n i n s
Milliseconds 407 92 76 62 94 143 342 111 59 95 82 77 47 61 61 127 50 60 60 95 77 48 125 62 46
Character t r u m t e -e -t e n t s h e l p u s s e e
Milliseconds 33 46 49 76 61 110 252 137 409 64 76 32 60 99 59 78 77 46 113 95 44 95 32 124 62
Character m o r e a n d m o r e . I n t h i s s e
Milliseconds 94 61 95 48 62 64 48 76 32 109 107 236 111 169 65 124 47 78 49 62 45 80 44 97 44
Character c t i o n w e i n t r o d u c t -t e t h e
Milliseconds 109 32 31 29 35 62 76 48 61 78 64 46 65 171 95 105 48 110 312 142 65 46 44 17 79
Character i d e a s o f r -r a v e r a g e a n d i n
Milliseconds 64 76 64 62 29 95 64 108 30 156 311 112 63 64 62 79 60 48 61 63 46 79 46 113 43
Character s t a n t e n -n o a n e -i -n -s -t -a -n -t -e -o -a -n -e i
Milliseconds 98 14 75 158 154 188 78 300 124 78 33 75 298 0 0 0 0 0 0 0 0 0 0 0 361
Character n s t a n t a n e o u s r a t e s o f c h a
Milliseconds 46 77 20 75 126 779 109 62 95 159 63 74 65 60 62 67 62 75 50 89 48 78 95 47 77
Character n g e , a n d s h o w t h a t t h e y a
Milliseconds 63 127 12 158 46 61 65 47 93 95 63 48 58 63 48 94 31 64 142 138 93 64 132 0 132
Character r e c l o c e s l -c -l -o -c -e -s -l c l o s e l y
Milliseconds 64 31 46 96 46 16 123 70 149 62 222 0 0 0 0 0 0 154 46 31 111 47 62 78 63
Character r e l a t e d t o t h e s l o p e o f a
Milliseconds 76 82 75 34 63 63 90 143 217 64 76 36 75 32 59 32 66 46 93 63 78 143 75 63 94
Character c u r v e a t a p o i n t P o n t h
Milliseconds 61 79 79 94 93 138 36 93 46 78 61 78 64 282 47 62 62 61 125 110 113 30 61 45 48
Character e c u r v e . W e g i e - -e v e p r e c
Milliseconds 49 43 50 92 62 77 68 149 69 154 108 62 47 81 141 75 314 126 125 45 62 67 61 79 75
Character i s e d e v e l o p m e n t s o f t h e s e
Milliseconds 62 94 46 63 47 50 91 38 71 48 61 97 78 63 31 46 63 61 79 30 90 51 32 79 46
Character i m p o r t r a n t -i -m -p -o -r -t -r -a -n -t - i m
Milliseconds 79 139 31 77 80 93 47 108 0 125 66 138 171 0 0 0 0 0 0 0 0 0 0 265 64
Character p o r t a n t c o n c e p t s i n t h e n
Milliseconds 62 111 28 63 95 82 73 82 106 20 59 97 62 107 125 13 80 64 63 43 68 44 29 50 79
Character e x t c h a p e t r , -, - -c -h -a -p -e -t -r c h a
Milliseconds 46 46 50 62 122 64 63 59 130 0 170 47 76 188 0 407 0 0 0 0 0 0 156 60 83
Character p t e r , b u t f o r n o w w e u s e
Milliseconds 59 140 64 111 63 46 107 47 66 94 75 50 75 78 111 63 106 65 108 64 80 139 91 81 76
Character a n i n f o r m a l a p p r o a c h s o y
Milliseconds 113 75 64 64 47 58 95 63 80 109 77 62 94 97 92 76 49 122 79 80 78 94 64 43 95
Character o u w i l l s e e t -t h o w t h e y l e
Milliseconds 49 64 58 83 60 91 110 79 62 77 129 59 126 248 111 50 79 42 66 48 27 49 46 107 35
Character a d n a t u r a l l y t o t h e m a i n
Milliseconds 59 205 92 99 108 46 80 60 61 31 110 50 77 156 122 0 329 78 14 65 124 93 48 62 50
Character i d e a o f t h i s c h a p t e r , t h i
Milliseconds 108 95 75 65 76 96 78 59 83 25 52 76 64 155 97 90 81 125 47 89 83 75 33 49 77
Character -i e l i m i -t -h -e -l -i -m -i t h e l i m i t . T
Milliseconds 314 138 110 77 110 62 221 0 0 0 0 0 0 325 49 31 63 91 79 92 82 107 79 80 138
Character h e i d e a o f a l i m i t p l a y s
Milliseconds 65 46 60 174 75 83 73 63 142 111 47 78 45 79 93 80 77 140 111 93 61 78 80 95 74
Character a f o u n d a i t -t -i t i o n a l r o l e t
Milliseconds 111 60 113 62 43 36 47 59 175 92 233 113 109 78 30 33 63 73 82 92 46 94 64 80 44
Character h r o u g h o u t c a l c u l u s .
Milliseconds 112 46 94 81 57 66 27 80 29 111 96 154 64 76 63 51 92 91 81
WPM Timing
Seconds WPM
1.58 121.55
3.16 140.54
4.74 141.8
6.32 144.34
7.9 132.18
9.48 136.74
11.06 141.08
12.64 139.59
14.22 142.65
15.8 141.3
17.38 144.34
18.96 141.8
20.54 146.67
22.12 146.51
23.69 146.87
25.27 148.13
26.85 149.25
28.43 151.09
30.01 146.34
31.59 146.24
33.17 143.25
34.75 143.65
36.33 144.67
37.91 143.39
39.49 142.82
41.07 138.49
42.65 135.05
44.23 134.57
45.81 135.69
47.39 133.7
48.97 134.29
50.55 135.08
52.13 135.59
53.71 134.06
55.29 135.65
56.87 133.57
58.45 133.87
60.03 132.74
61.61 132.06
63.19 132.37
64.77 132.85
66.35 132.58
67.92 133.03
69.5 133.11
71.08 132.86
72.66 131.12
74.24 131.24
75.82 131.68
77.4 131.16
78.98 131.27