ChrispyDumpling (chrispydumpling)

Race #109

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Official speed 115.10 wpm (90.08 seconds elapsed during race)
Without ending ping 115.17 wpm (57 ms delay sending score to TypeRacer’s server)
Timerless 115.66 wpm (378 ms elapsed before first character typed; 89.64 seconds elapsed during race)
Timerless minus one 115.52 wpm, ignoring the first character typed
Race Start November 18, 2023 9:03:23am UTC
Race Finish November 18, 2023 9:04:53am UTC
Outcome Win (1 of 5)
Opponents 2. ergosolo (109.79 wpm)
Accuracy 97.4%
Points 310.76
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 Calclusulus is a tool that helps us understand how a change in one qunaantity is related to a change in another. How does the speed of a falinlling object change as a fucntionncnction of time? hoHow does the level of water in a barrel change as a function of the amount of liquid poured into it? We esee change occurring in nearly everything we observe in the world and universe, and powerful modern intststruments help us see more and more. in thisIn this section we introduce the ideas of vaverage and instatnentaenneous rates of change, and show that they are closely related to the slope oa .cf a accurve at a point P on the curve. We give precieseise developments of these important concepts in the next chapter, abubbut for now we use an informatl approach so you wills e see how they lead naturally to the main idea of this chapter, the limt.it. The idea of a limit plays a foundational role inthroughout calculus.
Timing
Character C a l c l u s -s -u -l u l u s i s a t o o l
Milliseconds 378 126 92 74 141 54 139 359 175 128 217 127 92 84 106 93 63 103 48 73 66 65 113 120 70
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 60 76 40 49 40 121 62 48 91 44 94 140 62 98 93 144 15 134 52 99 81 66 41 85 70
Character h o w a c h a n g e i n o n e q u n a -a
Milliseconds 96 36 74 124 28 98 47 85 59 63 78 87 38 89 63 61 92 74 56 118 60 40 165 125 188
Character -n a n t i t y i s r e l a t e d t o a c
Milliseconds 111 112 70 82 68 70 84 145 152 113 50 109 57 94 80 63 74 129 105 76 82 72 45 138 244
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 60 75 69 44 103 47 103 64 52 30 97 42 84 70 60 60 82 41 142 38 95 148 72 93 38
Character s t h e s p e e d o f a f a l i n -n -i -l
Milliseconds 88 61 67 55 61 89 57 49 75 106 170 27 131 89 70 46 87 65 72 115 147 120 356 109 155
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 389 122 80 71 92 87 94 66 80 62 115 123 57 123 73 77 69 73 88 88 58 58 53 88 75
Character f u c n t i o n -n -o -i -t -n n c -c -n -c n c t i o n
Milliseconds 36 110 130 7 158 60 79 80 202 121 118 136 119 178 78 349 107 124 157 51 131 48 84 70 50
Character o f t i m e ? h o -o -h H o w d o e s t h e
Milliseconds 126 70 81 64 55 66 23 162 39 167 57 312 110 188 60 60 94 40 110 8 83 79 43 72 54
Character l e v e l o f w a t e r i n a b a r r
Milliseconds 82 113 36 114 102 73 49 107 49 92 31 110 18 122 69 51 106 42 80 38 120 17 126 60 151
Character e l c h a n g e a s a f u n c t i o n o
Milliseconds 64 90 91 136 66 92 49 55 104 98 77 49 49 96 386 101 97 129 48 118 12 98 106 19 154
Character f t h e a m o u n t o f l i q u i d p o
Milliseconds 47 94 61 66 68 83 33 94 85 70 141 66 71 114 69 64 106 48 123 71 78 99 111 93 39
Character u r e d i n t o i t ? W e e -e s e e c h
Milliseconds 82 67 165 152 128 101 66 102 86 44 127 52 191 26 104 78 127 264 229 48 140 96 78 99 42
Character a n g e o c c u r r i n g i n n e a r l y
Milliseconds 77 68 46 116 59 108 47 108 108 72 113 108 60 63 114 76 68 63 123 64 58 60 31 119 135
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 8 124 128 63 58 82 85 87 66 52 110 32 53 94 110 70 128 33 80 167 111 76 95 76 75
Character t h e w o r l d a n d u n i v e r s e , a
Milliseconds 16 127 5 121 35 86 52 99 46 98 30 98 12 113 291 138 102 13 244 87 121 71 86 46 51
Character n d p o w e r f u l m o d e r n i n t s t -t
Milliseconds 89 38 106 119 46 99 50 50 153 52 113 64 135 36 57 122 69 57 43 103 60 71 11 113 338
Character -s -t s t r u m e n t s h e l p u s s e e m
Milliseconds 120 110 71 38 137 71 140 63 68 49 95 69 121 103 38 81 48 137 102 66 63 121 109 70 110
Character o r e a n d m o r e . i n t h i s -s -i -h -t
Milliseconds 40 62 37 91 75 63 37 95 118 28 68 45 100 89 107 67 51 55 101 142 22 204 113 130 144
Character - -n -i I n t h i s s e c t i o n w e i n t
Milliseconds 128 128 128 304 101 50 53 77 73 63 95 40 61 158 105 18 95 53 201 246 65 120 130 61 30
Character r o d u c e t h e i d e a s o f v -v a v e
Milliseconds 129 75 57 96 49 116 95 48 88 30 103 101 28 123 91 72 88 103 94 75 151 305 128 46 147
Character r a g e a n d i n s t a t n e -e -n -t n t a e n
Milliseconds 65 90 98 114 73 68 72 29 103 95 56 5 71 109 61 128 22 268 113 251 281 124 127 409 10
Character -n -e n e o u s r a t e s o f c h a n g e ,
Milliseconds 423 95 174 38 106 72 76 85 112 107 73 87 82 54 108 75 68 81 62 77 65 54 84 79 46
Character a n d s h o w t h a t t h e y a r e c l
Milliseconds 54 88 18 112 222 43 77 75 76 40 90 10 72 60 70 72 38 474 151 83 53 80 70 108 38
Character o s e l y r e l a t e d t o t h e s l o p
Milliseconds 118 76 51 34 119 109 59 28 104 66 57 60 162 35 124 13 82 54 82 29 110 40 89 112 89
Character e o a . c -c - -. -a f a a c -c -a c u r v e
Milliseconds 97 36 163 175 7 132 128 268 128 130 120 85 81 65 93 98 215 216 114 106 81 63 136 98 89
Character a t a p o i n t P o n t h e c u r v e
Milliseconds 55 96 105 73 83 124 36 82 13 94 119 115 70 128 79 63 56 82 52 87 63 63 62 135 89
Character . W e g i v e p r e c i e s e -e -s -e -i i s e
Milliseconds 95 25 123 73 103 73 72 76 120 74 110 5 63 169 84 64 118 68 313 107 147 127 506 149 67
Character d e v e l o p m e n t s o f t h e s e i m
Milliseconds 129 69 158 122 113 71 122 89 133 57 90 19 108 49 88 90 62 68 54 47 99 57 15 109 44
Character p o r t a n t c o n c e p t s i n t h e n
Milliseconds 93 69 66 114 75 51 73 77 101 11 71 50 130 104 62 123 4 104 66 68 43 84 39 90 118
Character e x t c h a p t e r , a b u -u -b b -b -a b u t
Milliseconds 21 133 127 72 84 87 52 83 17 126 70 63 63 40 167 25 178 118 172 151 111 181 92 82 60
Character f o r n o w w e u s e a n i n f o r m a
Milliseconds 91 48 75 57 109 33 74 79 87 50 102 106 69 51 104 60 84 78 114 68 57 94 52 80 70
Character t -t l a p p r o a c h s o y o u w i l l s
Milliseconds 58 352 219 96 74 66 113 67 70 69 83 56 74 55 73 80 128 98 65 69 65 53 136 117 89
Character e - -e - -s s e e h o w t h e y l e a d
Milliseconds 6 120 149 262 103 139 106 388 75 139 92 89 95 459 100 57 80 56 75 54 138 87 57 70 66
Character n a t u r a l l y t o t h e m a i n i d
Milliseconds 86 114 28 71 101 48 57 58 115 98 145 63 105 90 121 66 71 94 92 79 66 73 61 125 10
Character e a o f t h i s c h a p t e r , t h e l
Milliseconds 108 76 91 114 20 123 31 82 54 79 102 32 95 76 29 100 137 65 69 30 67 82 51 75 82
Character i m t . -. -t i t . T h e i d e a o f a l
Milliseconds 72 76 179 111 359 124 191 54 95 75 89 55 104 27 126 59 124 75 67 107 59 109 21 123 98
Character i m i t p l a y s a f o u n d a t i o n a l
Milliseconds 60 79 108 79 106 176 116 94 67 81 70 67 70 61 85 37 146 21 92 47 53 86 70 78 90
Character r o l e i n -n -i t h r o u g h o u t c a l c
Milliseconds 72 68 75 120 100 75 99 65 222 99 85 88 48 70 64 60 105 86 69 91 82 67 69 45 79
Character u l u s .
Milliseconds 88 129 79 65 83
WPM Timing
Seconds WPM
1.8 26.64
3.6 89.92
5.4 108.79
7.21 109.9
9.01 114.57
10.81 121.01
12.61 124.65
14.41 114.07
16.21 118.42
18.02 107.24
19.82 107.18
21.62 107.68
23.42 111.19
25.22 112.28
27.02 114.57
28.83 115.32
30.63 114.41
32.43 116.2
34.23 117.79
36.03 118.56
37.83 119.9
39.63 118.68
41.44 119.9
43.24 116.57
45.04 116.17
46.84 117.33
48.64 116.69
50.44 114.66
52.25 112.78
54.05 114.35
55.85 114.74
57.65 115.94
59.45 113.44
61.25 113.43
63.05 114.38
64.86 112.31
66.66 112.33
68.46 113.94
70.26 114.94
72.06 113.9
73.86 114.05
75.67 114.5
77.47 112.77
79.27 112.93
81.07 113.53
82.87 114.68
84.67 113.94
86.48 114.35
88.28 114.73
90.08 115.1