Jay (kamikamigod)

Race #1696

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Official speed 110.42 wpm (93.90 seconds elapsed during race)
Without ending ping 110.64 wpm (187 ms delay sending score to TypeRacer’s server)
Timerless 110.94 wpm (253 ms elapsed before first character typed; 93.46 seconds elapsed during race)
Timerless minus one 110.81 wpm, ignoring the first character typed
Race Start December 27, 2023 11:12:35am UTC
Race Finish December 27, 2023 11:14:08am UTC
Outcome No win (2 of 5)
Opponents 1. ramble (111.61 wpm)
3. 28promises (107.98 wpm)
Accuracy 97.2%
Points 298.13
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 helpsu us understand how a change in one quantity is erareallated to a change in another. How does the speed of a falling object change as a function of time? Hoe w does the level of water in a barrel change a ss a function of the amouhbt nt nt of liquid poured into it? We steee change occurring in nearly everything we observe in the wroldorld and universe, and powerful modern instruments help use se see more aned more. In this esection we introuduce the ideas of eaverage and instantaneous rates of change, and show that they are closely related to the slope of a curve at a point P on teh he curve. WE ge give predcidse developments of these important concepts in the enxenext chapter, but for now ewe use and i informal approach se o you will see how they lead naturally to the main didea of this chapter, the limit. The idea of a limit plays a foundational role trhroughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 253 141 18 224 143 93 140 102 98 91 91 88 90 70 96 73 117 144 122 80 87 42 60 80 124
Character e l p s u - -u u s u n d e r s t a n d h o
Milliseconds 87 110 69 100 10 101 289 144 156 175 98 77 110 148 62 113 77 110 100 90 70 70 86 64 50
Character w a c h a n g e i n o n e q u a n t i t
Milliseconds 30 80 70 90 75 85 81 69 80 107 93 76 44 70 104 76 80 40 240 59 132 109 133 57 103
Character y i s e r a -a -r -e r e a l -l -a l a t e d t o
Milliseconds 96 118 98 75 49 156 64 130 160 144 137 89 30 80 40 310 144 238 58 60 69 129 91 70 81
Character a c h a n g e i n a n o t h e r . H o w
Milliseconds 49 70 91 112 58 159 40 99 91 60 169 41 71 60 89 81 104 111 55 69 51 80 140 80 70
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 89 116 13 122 59 91 80 49 69 92 40 89 71 160 250 134 98 67 90 19 111 139 81 70 127
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 53 60 40 70 70 100 113 27 160 106 44 221 89 70 100 50 90 90 110 70 113 109 128 220 70
Character n c t i o n o f t i m e ? H o e - -e w d
Milliseconds 156 55 121 48 50 39 41 120 70 73 77 90 60 40 149 91 199 100 101 100 296 132 22 123 58
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 68 90 32 109 41 78 62 59 108 62 111 88 125 65 132 78 61 80 79 91 110 60 60 110 40
Character a b a r r e l c h a n g e a s -s - s a
Milliseconds 70 50 100 80 118 102 129 101 59 80 104 86 61 90 70 69 80 101 89 31 234 145 30 90 70
Character f u n c t i o n o f t h e a m o u h b t
Milliseconds 80 30 100 145 55 100 50 50 40 40 102 48 83 77 40 100 50 137 93 80 100 140 30 19 102
Character - -t -b n t - -t -n -h n t o f l i q u i d p o
Milliseconds 145 130 152 143 89 90 211 136 178 125 177 96 97 85 74 70 71 99 200 101 69 104 101 184 61
Character u r e d i n t o i t ? W e s t e -e -t e e
Milliseconds 80 100 60 160 72 77 50 91 70 110 160 60 140 99 132 79 94 85 91 77 193 101 79 133 104
Character c h a n g e o c c u r r i n g i n n e a r l
Milliseconds 86 67 80 80 50 99 81 77 63 135 113 90 129 102 39 61 99 71 30 80 107 83 60 20 80
Character y e v e r y t h i n g w e o b s e r v e i
Milliseconds 90 50 110 117 102 71 69 90 90 70 101 50 90 70 39 111 114 86 140 80 99 359 124 107 109
Character n t h e w r o l d -d -l -o -r o r l d a n d u
Milliseconds 50 41 89 80 60 60 100 90 40 162 68 149 120 142 126 169 66 89 90 59 91 79 70 60 90
Character n i v e r s e , a n d p o w e r f u l m o d
Milliseconds 149 72 102 127 79 41 60 79 101 325 76 60 89 71 19 61 60 40 160 50 70 69 220 140 100
Character e r n i n s t r u m e n t s h e l p u s e
Milliseconds 141 59 79 61 90 60 110 121 127 62 152 69 99 237 134 99 177 54 89 99 91 231 89 80 90
Character s e -e -s - -e s e e m o r e a n e -e d m o r
Milliseconds 100 30 168 142 142 134 84 50 60 133 97 70 60 40 50 70 100 90 349 211 79 91 80 50 40
Character e . I n t h i s e -e s e c t i o n w e i
Milliseconds 30 108 92 150 80 78 72 70 50 60 60 122 450 97 31 171 137 52 60 29 51 90 40 100 100
Character n t r o u -u d u c e t h e i d e a s o f e
Milliseconds 51 89 119 61 100 260 100 103 67 130 100 80 50 110 70 80 60 140 100 120 126 103 101 69 121
Character -e a v e r a g e a n d i n s t a n t a n e o u
Milliseconds 299 31 109 95 86 89 101 100 39 106 65 122 58 129 71 157 103 118 236 128 137 160 156 162 112
Character s r a t e s o f c h a n g e , a n d s h
Milliseconds 107 92 172 79 110 90 50 60 92 48 80 398 139 74 100 79 80 106 98 98 119 59 80 121 59
Character o w t h a t t h e y a r e c l o s e l y
Milliseconds 60 71 101 69 80 89 119 101 81 79 71 109 70 101 99 100 19 286 65 545 99 56 130 110 60
Character r e l a t e d t o t h e s l o p e o f a
Milliseconds 109 51 120 40 103 87 129 94 77 50 90 50 100 50 70 40 100 142 58 119 70 90 40 80 50
Character c u r v e a t a p o i n t P o n t e
Milliseconds 100 90 100 110 179 95 85 130 80 62 88 90 121 60 79 40 50 80 180 100 100 60 50 60 100
Character h - -h -e h e c u r v e . W E g -g - -E e g
Milliseconds 10 245 103 137 120 138 48 79 130 113 122 187 115 161 121 281 61 149 70 158 137 150 65 71 89
Character i v e p r e d -d c i d -d s e d e v e l o p m e
Milliseconds 90 125 24 102 164 85 70 209 301 75 95 91 315 54 40 105 118 137 155 75 82 156 61 155 76
Character n t s o f t h e s e i m p o r t a n t c o
Milliseconds 121 103 167 133 109 87 75 74 70 61 50 140 39 100 60 60 50 170 166 124 100 20 135 96 39
Character n c e p t s i n t h e e n x -x -n e -e -e n e x
Milliseconds 50 100 135 45 100 70 70 70 41 80 0 129 51 99 80 100 80 209 121 125 339 155 142 48 122
Character t c h a p t e r , b u t f o r n o w e -e
Milliseconds 99 89 84 77 79 49 100 85 65 70 31 108 71 91 91 79 60 64 56 40 80 49 104 97 379
Character w e u s e a n d i -i - -d i n f o r m a l
Milliseconds 61 39 90 142 110 59 90 145 115 70 102 118 230 128 129 63 89 51 70 162 9 340 165 74 79
Character a p p r o a c h s e - -e o y o u w i l l
Milliseconds 120 100 121 110 89 100 110 100 39 91 70 114 247 98 161 60 110 60 80 61 69 60 50 95 65
Character s e e h o w t h e y l e a d n a t u r a l
Milliseconds 40 51 149 100 90 40 70 49 111 71 79 70 50 89 51 80 79 61 60 90 79 97 63 104 47
Character l y t o t h e m a i n d -d i d e a o f
Milliseconds 126 73 100 81 70 90 20 79 70 80 71 79 91 49 40 201 259 124 56 110 61 40 90 81 89
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 70 69 50 71 60 125 85 80 60 90 102 88 90 20 130 70 60 90 40 50 121 88 143 124 94
Character T h e i d e a o f a l i m i t p l a y s
Milliseconds 170 161 59 90 99 40 127 83 90 40 110 93 47 90 100 90 70 110 80 70 100 30 80 50 100
Character a f o u n d a t i o n a l r o l e t r -r h
Milliseconds 71 80 79 50 80 21 149 41 99 71 98 30 31 60 110 49 130 91 118 121 95 66 151 403 132
Character r o u g h o u t c a l c u l u s .
Milliseconds 63 108 62 118 83 78 91 40 92 98 106 138 136 111 99 227 90 84
WPM Timing
Seconds WPM
1.88 102.24
3.76 95.85
5.63 108.63
7.51 113.42
9.39 99.68
11.27 105.44
13.15 112.28
15.02 113.42
16.9 113.6
18.78 114.38
20.66 115.02
22.54 117.15
24.41 117.48
26.29 113.65
28.17 111.19
30.05 111.83
31.92 111.26
33.8 113.6
35.68 113.68
37.56 111.51
39.44 112.59
41.31 112.99
43.19 111.13
45.07 109.7
46.95 109.91
48.83 110.11
50.7 109.81
52.58 109.77
54.46 109.51
56.34 110.12
58.22 109.46
60.09 110.63
61.97 111.15
63.85 110.51
65.73 108.81
67.61 107.92
69.48 107.77
71.36 108.63
73.24 107.98
75.12 108.31
76.99 108.16
78.87 107.26
80.75 106.85
82.63 108.2
84.51 108.63
86.38 109.33
88.26 109.85
90.14 110.76
92.02 110.46
93.9 110.42