joel (joey172)

Race #19673

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Official speed 121.44 wpm (85.38 seconds elapsed during race)
Without ending ping 121.54 wpm (71 ms delay sending score to TypeRacer’s server)
Timerless 121.99 wpm (310 ms elapsed before first character typed; 84.99 seconds elapsed during race)
Timerless minus one 121.84 wpm, ignoring the first character typed
Race Start July 21, 2023 1:54:04am UTC
Race Finish July 21, 2023 1:55:30am UTC
Outcome No win (2 of 5)
Opponents 1. primalknight (136.00 wpm)
3. willmtx (107.78 wpm)
Accuracy 97.1%
Points 327.90
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 CAlculalcluulus is a tool that helps us undertssstand how a change in one quantity is related to a change in another. How does the speed of a falling ojbjectbject change as a function of time? How does the lieveevel of water in a barrel change aass a function of the amount of liquid poured into it? We see change occurrrining i n nearly everything we observe in the world and universe, nad pand powerful modern instruments hlep uelp us sese morae more and more. In this section we introduce the ideas of average and instantaeneous 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 otf these importatnnt concepts in the next chapter, but for now we use an informal approach so you will see how they lead naturally ot the o th emaine main idea of this chapter, the limit. The idea of a l imit imit plays foa foundational role through coout claalcululs.
Timing
Character C A l c u l -l -u -c -l -A a l c l u -u -l u l u s i s
Milliseconds 310 54 97 104 79 81 192 119 122 119 96 98 87 98 271 133 235 97 159 32 87 115 46 80 40
Character a t o o l t h a t h e l p s u s u n d
Milliseconds 65 61 89 64 46 106 120 66 53 56 58 55 15 74 57 134 137 119 49 87 105 70 131 111 39
Character e r t s -s s -s -t s t a n d h o w a c h a n g
Milliseconds 142 51 119 0 360 65 159 104 106 62 56 63 65 72 80 38 75 73 39 90 54 39 136 26 79
Character e i n o n e q u a n t i t y i s r e l a
Milliseconds 45 60 68 48 69 55 55 57 83 86 54 87 56 75 77 72 56 55 58 80 49 166 54 91 136
Character t e d t o a c h a n g e i n a n o t h e
Milliseconds 137 57 158 40 111 57 95 18 104 72 22 105 32 80 44 36 57 70 87 82 80 49 62 75 38
Character r . H o w d o e s t h e s p e e d o f
Milliseconds 71 50 46 145 127 137 113 96 71 63 43 54 89 44 41 75 62 75 70 104 121 72 89 53 95
Character a f a l l i n g o j b -b -j j e c t -t -c -e -j b j
Milliseconds 41 99 165 73 63 105 48 46 58 73 69 107 28 275 96 136 89 126 104 223 113 120 102 123 65
Character e c t c h a n g e a s a f u n c t i o n
Milliseconds 70 129 79 23 160 66 88 37 94 53 71 62 59 64 63 56 73 56 121 29 131 29 25 72 50
Character o f t i m e ? H o w d o e s t h e l i e
Milliseconds 70 81 45 83 33 62 66 143 91 132 136 64 87 74 86 39 105 81 105 64 72 66 62 47 38
Character v e -e -v -e -i e v e l o f w a t e r i n a
Milliseconds 139 21 122 113 126 105 88 105 22 41 91 71 48 68 58 56 64 66 61 33 67 55 79 57 70
Character b a r r e l c h a n g e a a s -s -a s a f u
Milliseconds 105 95 56 104 57 81 61 169 55 97 57 66 47 96 63 296 88 215 113 128 111 50 87 97 79
Character n c t i o n o f t h e a m o u n t o f l
Milliseconds 112 38 145 0 14 98 65 72 96 47 168 56 96 14 106 72 80 73 128 56 71 66 70 32 88
Character i q u i d p o u r e d i n t o i t ? W e
Milliseconds 33 88 72 45 92 62 121 152 54 39 82 89 56 64 55 67 93 95 115 62 167 75 112 174 105
Character s e e c h a n g e o c c u r r r i n -n -i -r i n
Milliseconds 46 98 111 90 85 58 81 54 83 46 50 77 65 110 74 105 87 111 32 72 218 110 105 151 39
Character g i - n n e a r l y e v e r y t h i n g
Milliseconds 85 46 44 116 535 440 87 73 55 58 37 51 110 32 58 119 70 49 33 152 29 58 81 38 89
Character w e o b s e r v e i n t h e w o r l d a
Milliseconds 71 48 66 112 70 105 65 54 128 41 81 56 55 65 32 80 22 92 44 67 72 80 80 45 96
Character n d u n i v e r s e , n a d p -p - -d -a -n a n
Milliseconds 59 77 44 112 149 71 60 333 200 399 58 78 57 105 0 142 130 29 244 110 121 103 113 103 65
Character d p o w e r f u l m o d e r n i n s t r u m
Milliseconds 73 87 33 125 41 23 56 169 72 56 104 105 63 81 121 45 42 64 65 69 50 48 136 0 295
Character e n t s h l e p u -u - -p -e -l e l p u s s e
Milliseconds 33 183 39 91 111 37 107 49 123 61 81 167 118 121 127 105 137 56 294 98 119 63 89 55 121
Character s e m o r a -a -r -o -m - -e -s e m o r e a n d
Milliseconds 0 118 106 47 48 56 289 415 136 97 144 120 136 103 107 110 56 47 31 59 47 65 61 59 70
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 47 32 57 49 74 81 108 129 81 45 74 44 75 59 78 55 135 80 64 0 75 45 186 56 48
Character i n t r o d u c e t h e i d e a s o f a v
Milliseconds 121 46 33 120 57 70 91 75 130 73 72 38 59 63 86 56 116 44 98 79 65 88 62 74 71
Character e r a g e a n d i n s t a n t a e -e n e o u s
Milliseconds 97 38 75 63 22 75 71 56 97 40 144 71 97 103 73 55 113 119 304 352 128 64 63 72 58
Character r a t e s o f c h a n g e , a n d s h o
Milliseconds 65 43 68 73 44 51 64 103 22 83 110 46 75 81 44 75 65 49 79 54 105 88 136 88 54
Character w t h a t t h e y a r e c l o s e l y r
Milliseconds 31 99 63 73 37 53 51 83 48 13 146 57 87 72 57 49 102 59 94 56 25 79 70 58 38
Character e l a t e d t o t h e s l o p e o f a
Milliseconds 40 81 63 58 30 123 50 92 73 88 0 152 130 95 117 57 120 83 56 95 104 70 88 41 79
Character c u r v e a t a p o i n t P o n t h e
Milliseconds 23 115 37 145 48 66 70 104 98 38 56 98 129 70 55 26 102 120 105 79 39 82 23 73 80
Character c u r v e . W e g i v e p r e c i s e d
Milliseconds 74 95 54 89 167 25 49 63 118 155 50 93 63 97 41 71 63 38 58 154 46 65 58 71 119
Character e v e l o p m e n t s o t -t f t h e s e i m
Milliseconds 142 99 31 55 113 24 128 71 81 72 111 90 112 143 312 80 82 56 29 48 113 46 41 161 257
Character p o r t a t n -n -t n t c o n c e p t s i n t
Milliseconds 104 72 71 138 55 73 0 390 87 154 55 98 109 40 41 72 136 47 98 62 48 66 48 73 0
Character h e n e x t c h a p t e r , b u t f o r
Milliseconds 54 56 72 74 0 156 66 71 104 68 84 88 42 89 64 29 79 129 66 89 44 121 50 64 38
Character n o w w e u s e a n i n f o r m a l a p
Milliseconds 66 40 54 84 54 70 80 64 81 47 67 98 10 83 119 199 114 81 68 81 97 33 128 105 44
Character p r o a c h s o y o u w i l l s e e h o
Milliseconds 98 111 65 26 133 73 72 79 46 82 194 58 69 39 49 65 21 98 81 47 48 105 72 54 52
Character w t h e y l e a d n a t u r a l l y o t
Milliseconds 44 97 65 47 64 80 45 154 81 54 97 33 55 98 55 73 73 46 31 114 29 90 122 0 85
Character t h e -o -t - -h -e - o t h e m a i n -n -i -a -m -e
Milliseconds 65 45 72 59 521 0 0 0 0 0 63 71 65 50 104 0 87 48 94 72 320 114 127 126 132
Character - e m a i n i d e a o f t h i s c h a p
Milliseconds 102 89 89 54 31 96 64 57 105 82 127 38 127 266 80 64 70 23 66 64 31 97 80 130 78
Character t e r , t h e l i m i t . T h e i d e a
Milliseconds 65 87 64 29 60 136 56 88 32 95 73 56 54 90 96 30 97 104 73 44 76 63 120 46 58
Character o f a l i m i t - -t -i -m -i - i m i t p l
Milliseconds 96 138 62 16 119 22 116 0 63 74 78 98 285 129 129 136 127 111 168 71 67 86 73 175 120
Character a y s f o -o -f a f o u n d a t i o n a l r o
Milliseconds 0 139 95 86 128 47 265 95 113 48 119 32 42 120 39 66 63 24 33 104 30 89 79 98 62
Character l e t h r o u g h c o -o -c - o u t c l a -a -l
Milliseconds 112 58 90 71 91 83 47 74 71 46 60 112 0 255 104 125 202 55 47 58 145 88 6 391 98
Character a l c u l u l -l s .
Milliseconds 54 82 89 87 97 96 45 370 80 81
WPM Timing
Seconds WPM
1.71 28.11
3.42 59.74
5.12 89.02
6.83 91.36
8.54 106.82
10.25 115.96
11.95 121.48
13.66 123.86
15.37 112.44
17.08 118.77
18.78 121.39
20.49 120.64
22.2 121.63
23.91 120.98
25.61 123.22
27.32 123.86
29.03 123.19
30.74 119.08
32.44 121.69
34.15 124.39
35.86 120.81
37.57 119.79
39.27 120.39
40.98 117.13
42.69 113.29
44.4 114.34
46.1 116.09
47.81 117.97
49.52 116.81
51.23 118.77
52.93 120.38
54.64 121.67
56.35 122.67
58.06 123.61
59.76 124.49
61.47 123.77
63.18 122.89
64.89 124.47
66.59 125.42
68.3 125.8
70.01 126.84
71.72 126.17
73.42 123.89
75.13 124.42
76.84 125.25
78.55 124.21
80.25 123.21
81.96 123.43
83.67 122.77
85.38 121.44