NickBwalley (nickbiiy)

Race #6523

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Official speed 108.02 wpm (95.98 seconds elapsed during race)
Without ending ping 108.34 wpm (285 ms delay sending score to TypeRacer’s server)
Timerless 108.91 wpm (503 ms elapsed before first character typed; 95.19 seconds elapsed during race)
Timerless minus one 108.79 wpm, ignoring the first character typed
Race Start October 4, 2023 3:11:59pm UTC
Race Finish October 4, 2023 3:13:35pm UTC
Outcome Win (1 of 4)
Opponents 3. andeetypes (92.87 wpm)
4. amiteshore (90.15 wpm)
Accuracy 98.3%
Points 291.64
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 speded 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 amoutnnt of liquid oppoured into it? We see change occurring in nearly everything we observe in the world and univdrseerse, and powrfulerful modern instruments help us see more and more. In this section we introduce the ideas of average and instanteanoueous rates of change, and whow show that they are closely related to the slope of a curve at a point P on the curve. We give precise developomenments of these impoerratnt important concepts in the next chapter, but for now wse use we use an informa appl approach so you will see how they lead nttaturnaturally to the aimain idea of this chapter, 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 503 90 84 144 60 144 160 96 97 110 78 71 91 60 121 57 116 133 68 144 44 56 61 25 113
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 86 61 147 7 186 214 199 69 124 181 11 115 46 136 141 60 23 120 61 106 56 27 104 80 100
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 126 37 87 62 370 76 54 100 88 66 117 86 80 66 269 57 124 60 149 73 85 85 64 152 68
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 66 128 36 80 100 87 101 106 78 105 43 56 82 97 91 60 52 95 36 87 38 66 78 92 45
Character n o t h e r . H o w d o e s t h e s p e d
Milliseconds 113 41 166 33 56 79 37 84 149 82 81 53 122 41 96 69 74 181 30 60 74 85 65 83 285
Character -d e d o f a f a l l i n g o b j e c t c
Milliseconds 319 86 124 51 60 105 51 89 96 173 63 111 127 112 65 69 70 143 107 84 77 117 131 75 136
Character h a n g e a s a f u n c t i o n o f t i
Milliseconds 24 79 81 49 77 46 199 125 97 88 68 117 69 144 40 144 36 70 47 58 132 100 39 129 30
Character m e ? H o w d o e s t h e l e v e l o f
Milliseconds 98 120 273 179 227 118 110 86 151 88 107 142 70 125 46 47 56 81 41 125 80 62 38 119 83
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 38 183 108 98 92 73 53 65 104 65 44 134 174 59 147 133 140 118 66 116 59 67 53 57 76
Character a s a f u n c t i o n o f t h e a m o
Milliseconds 59 84 130 83 99 58 107 66 110 60 128 34 41 85 48 106 110 29 167 26 63 28 110 91 96
Character u t n -n -t n t o f l i q u i d o p -p -o p o u
Milliseconds 70 133 13 347 116 146 79 59 72 69 56 203 84 198 51 92 166 105 179 15 456 150 192 44 151
Character r e d i n t o i t ? W e s e e c h a n g
Milliseconds 351 46 137 70 142 109 150 32 50 120 94 183 107 561 134 90 112 59 110 89 114 63 36 102 38
Character e o c c u r r i n g i n n e a r l y e v e
Milliseconds 67 76 157 121 126 91 89 106 131 96 57 74 70 73 93 120 86 42 99 66 122 53 88 136 85
Character r y t h i n g w e o b s e r v e i n t h e
Milliseconds 97 7 173 41 41 83 49 92 92 50 122 226 296 280 64 43 154 88 41 116 56 99 113 60 42
Character w o r l d a n d u n i v d r s e -e -s -r -d e r
Milliseconds 25 139 34 47 97 74 86 108 33 107 68 66 142 60 61 103 85 107 43 259 108 152 156 108 44
Character s e , a n d p o w r f u l -l -u -f -r e r f u l
Milliseconds 119 70 70 65 64 64 49 57 76 39 67 81 123 69 153 220 136 126 152 43 44 125 68 132 78
Character m o d e r n i n s t r u m e n t s h e l p u
Milliseconds 132 92 137 116 39 97 55 112 113 72 67 97 98 139 87 88 42 118 94 241 84 90 104 114 135
Character s s e e m o r e a n d m o r e . I n t
Milliseconds 121 69 136 75 126 121 154 80 65 38 70 80 55 56 57 114 48 95 29 72 36 299 79 63 143
Character h i s s e c t i o n w e i n t r o d u c e
Milliseconds 34 51 91 22 203 42 177 145 32 64 66 42 141 80 92 192 107 86 111 60 117 67 95 114 66
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 143 34 60 52 175 106 131 78 137 62 68 81 60 295 208 116 166 76 108 72 85 75 87 56 70
Character i n s t a n t e -e a n o u -u -o e o u s r a t e s
Milliseconds 127 118 151 172 42 134 213 71 339 91 130 931 68 249 116 68 90 38 53 92 152 92 101 85 125
Character o f c h a n g e , a n d w h o w -w -h -o -w
Milliseconds 93 204 81 72 107 48 38 105 22 78 96 45 62 76 28 87 149 26 36 101 62 305 0 0 0
Character - s h o w t h a t t h e y a r e c l o s e
Milliseconds 0 205 69 42 52 88 130 64 30 83 83 113 52 67 97 49 115 63 29 105 94 83 125 58 37
Character l y r e l a t e d t o t h e s l o p e o
Milliseconds 88 135 53 63 40 73 122 120 73 110 82 134 40 49 131 39 48 62 60 76 136 122 145 87 111
Character f a c u r v e a t a p o i n t P o n
Milliseconds 114 50 82 94 70 98 65 132 102 34 143 94 82 68 64 116 83 53 133 71 96 153 265 161 95
Character t h e c u r v e . W e g i v e p r e c i
Milliseconds 58 133 62 18 50 126 62 79 133 96 61 50 189 96 63 122 72 92 58 61 129 151 95 292 60
Character s e d e v e l o p o m e n -n -e -m -o m e n t s o
Milliseconds 147 31 98 119 130 134 102 10 112 99 8 150 75 85 272 122 144 148 138 69 107 39 95 76 73
Character f t h e s e i m p o e r -r -e r a t n t -i -m -p
Milliseconds 90 43 252 20 85 125 65 38 82 84 86 52 174 27 404 108 58 141 32 105 87 84 230 0 0
Character -o -r -a -t -n -t - i m p o r t a n t c o n c e p t s
Milliseconds 0 0 0 0 0 0 0 417 112 83 49 40 180 64 48 88 89 151 46 92 73 141 37 103 104
Character i n t h e n e x t c h a p t e r , b u t
Milliseconds 36 111 88 42 109 83 32 17 118 38 156 131 58 138 31 41 181 453 71 73 91 38 106 49 100
Character f o r n o w w s e u s -u -s -w -s -e - e - -e
Milliseconds 28 138 57 92 56 207 77 94 64 116 14 49 58 65 89 275 0 122 0 0 0 535 151 344 124
Character w e u s e a n i n f o r m a a p p -p -p -a -
Milliseconds 275 88 100 128 86 38 66 92 77 63 88 128 8 90 80 62 104 69 142 71 100 267 119 150 151
Character l a p p r o a c h s o y o u w i l l s e
Milliseconds 146 66 73 101 99 118 58 99 102 83 57 92 52 82 139 85 82 10 103 84 105 119 71 113 41
Character e h o w t h e y l e a d n t t -t a t u r -n
Milliseconds 111 91 89 51 56 86 122 62 83 57 31 124 28 72 102 51 108 131 36 313 97 103 93 70 304
Character -t -a -t -u -r n a t u r a l l y t o t h e a i -i
Milliseconds 0 0 0 0 0 236 63 109 77 82 52 78 123 108 51 184 54 51 138 32 89 34 120 128 364
Character -a m a i n i d e a o f t h i s c h a p t e
Milliseconds 120 146 136 114 94 119 88 81 137 35 46 71 80 54 123 46 31 71 45 143 59 19 196 233 83
Character r , t h e l i m i t . T h e i d e a o f
Milliseconds 72 52 44 146 53 87 22 101 47 131 99 152 203 106 197 88 84 38 147 83 152 65 69 64 97
Character a l i m i t p l a y s a f o u n d a t i
Milliseconds 66 79 87 133 70 132 131 108 85 44 103 85 102 92 91 90 80 87 65 40 119 66 70 150 35
Character o n a l r o l e t h r o u g h o u t c a l c
Milliseconds 79 49 100 104 56 124 30 109 67 49 114 47 175 48 52 80 93 176 118 137 100 168 123 124 250
Character u l u s .
Milliseconds 37 176 121 137 54
WPM Timing
Seconds WPM
1.92 93.77
3.84 106.27
5.76 112.52
7.68 114.08
9.6 122.52
11.52 127.11
13.44 121.45
15.36 122.68
17.28 122.24
19.2 122.52
21.12 122.18
23.04 124.5
24.96 122.62
26.88 117.88
28.79 115.85
30.71 115.65
32.63 116.93
34.55 116.69
36.47 116.8
38.39 115.02
40.31 113.71
42.23 113.94
44.15 114.7
46.07 115.13
47.99 115.52
49.91 115.17
51.83 111.83
53.75 111.63
55.67 111.44
57.59 112.52
59.51 113.33
61.43 113.5
63.35 114.23
65.27 113.62
67.19 112.52
69.11 109.92
71.03 109.99
72.95 110.22
74.87 109.8
76.79 107.68
78.71 107.03
80.63 107.46
82.54 108.01
84.46 106.98
86.38 106.27
88.3 106.95
90.22 107.2
92.14 107.83
94.06 108.57
95.98 108.02