Joey (skaitripe)

Race #587

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Official speed 124.98 wpm (82.96 seconds elapsed during race)
Without ending ping 125.02 wpm (23 ms delay sending score to TypeRacer’s server)
Timerless 125.32 wpm (205 ms elapsed before first character typed; 82.73 seconds elapsed during race)
Timerless minus one 125.18 wpm, ignoring the first character typed
Race Start February 13, 2024 8:21:58am UTC
Race Finish February 13, 2024 8:23:21am UTC
Outcome Win (1 of 3)
Accuracy 99.3%
Points 337.44
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 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 introuduce the ideas of average and instantaneous rates of change, and show thtat at they are closely related to the slope of a curve at a point P on the curve. We give precise develoopments of these important concepts in the next chatppter, but for now we use an informal approach so you wll ill see how they lead naturally to the main idea of this chatppter, 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 205 241 117 169 127 169 102 81 96 124 66 80 85 68 86 57 143 190 141 111 81 54 76 61 92
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 127 56 139 51 95 100 141 79 123 78 71 130 90 125 80 91 75 94 81 62 68 65 80 91 58
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 94 94 76 88 38 80 54 114 76 149 106 82 79 78 114 85 96 65 116 108 82 134 82 117 167
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 108 87 90 119 30 108 102 135 88 115 24 161 74 109 61 114 45 117 49 77 69 119 57 157 83
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 77 94 116 55 107 35 85 155 163 76 87 83 104 52 88 71 37 110 38 101 53 82 77 76 132
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 137 60 108 82 52 92 54 70 111 64 113 148 71 91 75 88 122 110 77 131 150 70 117 71 86
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 111 48 88 118 66 116 61 82 49 70 77 102 30 158 17 44 116 126 78 88 77 81 75 30 103
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 181 177 191 88 124 101 95 57 77 53 94 76 54 71 84 87 93 108 94 65 122 85 60 71 65
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 96 78 117 65 56 107 53 155 86 91 127 35 88 160 131 70 102 81 109 23 127 31 76 91 53
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 104 51 102 54 87 75 81 56 161 54 68 74 139 79 84 68 80 69 23 118 58 94 65 125 103
Character t o f l i q u i d p o u r e d i n t o i
Milliseconds 79 94 81 97 32 122 157 89 70 129 75 49 144 147 144 50 121 125 47 98 58 125 91 116 87
Character t ? W e s e e c h a n g e o c c u r r i n
Milliseconds 77 186 174 152 134 100 93 78 122 93 76 119 15 137 57 83 73 83 77 126 108 72 138 68 74
Character g i n n e a r l y e v e r y t h i n g w e
Milliseconds 83 67 105 68 136 107 59 73 84 74 93 79 58 124 104 94 71 95 54 95 92 65 87 68 92
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 68 115 120 75 93 88 140 91 67 107 86 104 106 81 112 64 54 94 75 86 87 57 91 61 68
Character u n i v e r s e , a n d p o w e r f u l m
Milliseconds 76 117 89 94 58 91 129 89 113 20 194 6 206 91 121 117 160 41 49 97 143 53 142 119 127
Character o d e r n i n s t r u m e n t s h e l p u s
Milliseconds 81 57 140 69 56 133 91 60 28 79 128 64 124 81 86 35 126 70 107 110 51 124 112 96 60
Character s e e m o r e a n d m o r e . I n t h
Milliseconds 118 30 167 147 55 117 76 28 90 94 85 73 43 108 106 77 62 79 115 177 134 76 116 87 90
Character i s s e c t i o n w e i n t r o u -u d u c e
Milliseconds 65 50 113 64 72 127 164 53 13 115 126 56 74 102 97 68 43 138 58 185 250 73 122 38 117
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 85 86 49 97 74 97 25 157 87 92 61 103 103 58 106 117 104 104 88 89 52 104 103 86 42
Character i n s t a n t a n e o u s r a t e s o f c
Milliseconds 127 108 82 40 89 88 106 64 289 120 117 78 115 102 93 125 88 100 89 78 59 83 91 48 120
Character h a n g e , a n d s h o w t h t a t - -t -a
Milliseconds 77 27 147 30 98 74 141 49 88 81 76 48 91 46 87 101 52 113 43 147 64 82 154 131 135
Character -t a t t h e y a r e c l o s e l y r e l a
Milliseconds 139 96 65 77 65 65 60 83 72 62 88 55 73 111 46 144 59 74 64 90 74 87 49 131 31
Character t e d t o t h e s l o p e o f a c u r
Milliseconds 122 124 160 91 152 60 155 57 86 31 132 34 87 154 120 34 134 100 127 51 111 70 68 108 82
Character v e a t a p o i n t P o n t h e c u
Milliseconds 121 81 111 80 82 58 102 74 147 139 60 105 83 85 134 116 113 86 146 82 74 108 60 104 61
Character r v e . W e g i v e p r e c i s e d e v e
Milliseconds 133 127 137 115 159 130 121 138 114 84 87 64 49 124 64 84 99 85 63 73 81 109 132 88 82
Character l o o -o p m e n t s o f t h e s e i m p o r
Milliseconds 60 105 89 376 94 183 92 100 36 107 58 88 85 29 107 36 103 121 84 48 132 100 99 138 47
Character t a n t c o n c e p t s i n t h e n e x t
Milliseconds 120 100 56 90 98 76 60 62 75 76 95 42 101 80 86 79 116 88 71 128 59 111 55 163 133
Character c h a t p -p -t p t e r , b u t f o r n o w
Milliseconds 90 92 59 70 132 5 379 121 80 82 115 72 58 138 280 97 87 62 98 47 99 28 123 57 36
Character w e u s e a n i n f o r m a l a p p r o
Milliseconds 96 93 90 72 102 34 97 126 74 68 146 112 61 68 94 71 45 102 59 106 89 68 124 115 76
Character a c h s o y o u w l l - -l -l i l l s e e
Milliseconds 68 120 63 205 50 80 101 99 22 92 177 129 186 114 184 159 126 148 83 151 113 137 64 108 136
Character h o w t h e y l e a d n a t u r a l l y
Milliseconds 54 123 63 90 52 83 77 47 98 57 91 69 71 97 86 122 46 91 99 57 94 73 139 7 213
Character t o t h e m a i n i d e a o f t h i s
Milliseconds 153 53 148 93 65 102 86 115 57 95 64 134 117 29 144 58 56 121 77 56 94 89 48 73 85
Character c h a t p -p -t p t e r , t h e l i m i t . T
Milliseconds 42 106 72 76 75 302 124 74 407 151 47 74 141 59 52 90 81 101 131 98 80 62 131 169 158
Character h e i d e a o f a l i m i t p l a y s
Milliseconds 94 97 63 66 79 139 35 111 89 91 63 80 53 116 138 126 70 78 57 112 144 36 95 142 67
Character a f o u n d a t i o n a l r o l e t h r o u
Milliseconds 87 67 73 67 83 90 51 112 63 30 50 76 90 67 95 80 66 121 109 65 75 105 42 124 105
Character g h o u t c a l c u l u s .
Milliseconds 125 54 82 95 72 95 83 77 55 121 77 120 108 63 84
WPM Timing
Seconds WPM
1.66 86.79
3.32 108.49
4.98 115.72
6.64 121.15
8.3 120.06
9.95 122.95
11.61 126.05
13.27 126.57
14.93 126.17
16.59 127.29
18.25 128.21
19.91 128.38
21.57 129.63
23.23 130.7
24.89 130.19
26.55 128.38
28.21 129.34
29.86 129.79
31.52 129.81
33.18 130.19
34.84 129.5
36.5 130.19
38.16 130.19
39.82 129.89
41.48 129.03
43.14 129.35
44.8 129.12
46.46 129.15
48.12 128.69
49.77 128.02
51.43 128.09
53.09 128.15
54.75 127.78
56.41 127.21
58.07 127.5
59.73 126.77
61.39 127.06
63.05 126.95
64.71 125.74
66.37 126.21
68.02 126.31
69.68 124.5
71.34 124.97
73 124.93
74.66 125.37
76.32 124.06
77.98 124.03
79.64 124.16
81.3 124.73
82.96 124.98