Buri (buri_was_taken)

Race #16242

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Official speed 115.27 wpm (89.95 seconds elapsed during race)
Without ending ping 115.82 wpm (323 ms delay sending score to TypeRacer’s server)
Timerless 116.30 wpm (373 ms elapsed before first character typed; 89.25 seconds elapsed during race)
Timerless minus one 116.17 wpm, ignoring the first character typed
Race Start December 28, 2024 4:21:42pm UTC
Race Finish December 28, 2024 4:23:12pm UTC
Outcome Win (1 of 5)
Opponents 3. touvski (77.60 wpm)
4. paradoxfox (76.10 wpm)
Accuracy 97.8%
Points 311.23
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 qunaantity is related to a change in another. How dos es the speed of a falling obnjeject 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 wroworld and unvieiverse, and powerful modern instruments ihelp us tsee more and more. In thies section we introduce the ideas of average and instanteaneous rates of change, and show theat they are closely related to the slope of a cutrverve at a point P on the univcurve. We give precise developments of these important concepts in the next chapter, bur t nofor now we use an informal apporroach so you will see how they lead naturally to the main idea of tghithis 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 373 122 77 107 152 181 130 65 115 81 39 77 86 76 89 69 104 146 138 58 88 35 42 60 126
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 72 72 69 71 66 98 52 60 125 49 69 56 108 91 76 94 66 84 83 112 51 39 119 97 69
Character c h a n g e i n o n e q u n a -a -n a n t i t
Milliseconds 159 71 101 46 131 34 46 111 48 135 96 68 41 81 106 87 9 121 326 95 114 70 102 93 95
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 126 60 109 82 90 71 52 66 173 102 72 125 60 332 78 122 95 62 111 64 96 54 55 68 42
Character i n a n o t h e r . H o w d o s - -s e s
Milliseconds 93 45 126 78 62 49 43 75 53 58 76 141 149 149 82 105 49 84 166 184 217 103 54 149 54
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 110 78 73 96 68 89 79 108 103 41 92 71 111 65 84 114 83 64 119 157 39 59 95 78 114
Character n j e -e -j -n j e c t c h a n g e a s a f u
Milliseconds 8 122 54 190 123 112 148 73 58 157 41 267 72 81 75 10 44 101 94 6 80 128 64 86 79
Character n c t i o n o f t i m e ? H o w d o e s
Milliseconds 42 52 147 24 117 61 127 82 15 141 18 139 78 0 316 166 165 133 77 100 50 108 55 128 76
Character t h e l e v e l o f w a t e r i n a b
Milliseconds 81 59 98 60 105 41 80 58 77 170 94 94 57 101 58 77 93 86 45 100 63 151 28 141 117
Character a r r e l c h a n g e a s a f u n c t i o
Milliseconds 51 75 149 85 81 128 93 65 94 74 17 57 83 106 0 117 82 108 80 102 48 49 156 11 145
Character n o f t h e a m o u n t o f l i q u i d
Milliseconds 52 145 78 63 106 44 79 71 74 98 46 46 143 41 106 74 104 76 51 121 109 90 93 132 61
Character p o u r e d i n t o i t ? > - -> W e s
Milliseconds 76 156 202 156 49 60 117 0 123 63 123 62 125 78 61 155 0 146 222 107 127 71 148 92 86
Character e e c h a n g e o c c u r r i n g i n n e
Milliseconds 124 129 94 84 75 93 47 57 41 54 172 41 146 89 104 304 94 71 92 65 77 65 140 112 56
Character a r l y e v e r y t h i n g w e o b s e r v
Milliseconds 40 15 83 94 90 111 85 93 99 157 169 55 58 110 20 139 41 38 87 119 84 91 131 84 141
Character e i n t h e w r o -w -r -o w o r l d a n d
Milliseconds 27 132 94 66 128 115 68 71 70 65 134 85 365 0 0 102 71 84 57 108 124 112 54 49 112
Character u n v i e -e -i -v i v e r s e , a n d p o w e r
Milliseconds 89 61 66 68 87 260 104 139 139 77 67 114 100 118 34 149 89 47 43 120 135 112 55 159 5
Character f u l m o d e r n i n s t r u m e n t s i -i
Milliseconds 157 34 122 123 111 25 203 106 102 87 142 193 58 84 70 130 78 154 103 67 134 53 100 168 309
Character h e l p u s t -t s e e m o r e a n d m o
Milliseconds 166 128 65 44 154 86 44 84 68 226 67 126 114 75 171 36 40 23 101 62 58 90 54 119 22
Character r e . I n t h i e -e s s e c t i o n w e
Milliseconds 46 19 117 150 124 146 112 185 76 52 64 368 82 59 206 120 92 161 63 120 31 139 56 37 91
Character i n t r o d u c e t h e i d e a s o f a v
Milliseconds 110 62 172 135 62 129 67 131 44 151 90 79 41 95 57 41 60 40 139 91 109 61 94 77 99
Character e r a g e a n d i n s t a n t e -e a n e o u s
Milliseconds 63 108 106 84 33 81 97 58 58 70 103 62 62 54 94 74 39 246 274 54 87 73 119 128 75
Character r a t e s o f c h a n g e , a n d s h o
Milliseconds 77 55 89 85 26 139 45 84 68 114 65 78 99 108 0 439 127 155 91 58 74 86 56 96 36
Character w t h e -e a t t h e y a r e c l o s e l y
Milliseconds 52 108 44 97 28 423 96 13 72 98 52 85 68 90 93 17 89 31 122 57 96 36 115 45 127
Character r e l a t e d t o t h e s l o p e o f
Milliseconds 27 160 43 108 122 29 86 107 44 125 64 105 44 88 44 124 36 110 117 116 93 66 52 83 68
Character a c u t r v e -e -v -r -t r v e a t a p o i n
Milliseconds 93 41 136 69 107 0 146 41 183 113 131 147 65 169 11 46 148 124 2 488 116 177 149 137 43
Character t P o n t h e u n i v -v $c -n -i u r v e .
Milliseconds 49 119 114 123 91 63 106 44 105 38 116 100 66 106 64 233 292 0 0 89 87 156 17 59 155
Character W e g i v e p r e c i s e d e v e l o p m e
Milliseconds 96 146 83 77 92 84 11 55 128 26 40 145 84 90 102 74 101 74 109 66 60 124 121 96 65
Character n t s o f t h e s e i m p o r t a n t c o
Milliseconds 168 85 68 79 101 88 79 37 102 51 141 105 67 177 64 139 109 63 139 71 68 49 111 107 46
Character n c e p t s i n t h e n e x t c h a p t e
Milliseconds 45 81 51 68 83 93 77 106 64 123 19 138 64 106 100 20 140 179 62 114 64 101 68 40 80
Character r , b u r - -r t n o -n -o f o r n o w w e
Milliseconds 93 20 145 126 37 89 257 207 124 100 87 141 48 280 0 309 68 110 59 107 272 170 136 63 42
Character u s e a n i n f o r m a l a p p o r -r -o r
Milliseconds 86 88 52 107 84 120 62 147 76 77 112 95 124 55 129 84 107 157 50 101 150 63 197 103 59
Character o a c h s o y o u w i l l s e e h o w
Milliseconds 101 91 13 103 154 44 75 99 74 61 127 101 105 52 133 126 124 299 134 122 75 129 27 45 119
Character t h e y l e a d n a t u r a l l y t o t h
Milliseconds 70 69 75 52 88 114 80 0 58 106 165 102 26 112 64 79 69 105 73 74 113 38 138 154 76
Character e m a i n i d e a o f t g h i -t -g -h -i t h
Milliseconds 114 40 135 98 29 81 102 90 11 74 42 56 93 88 111 49 10 65 50 274 0 0 0 94 68
Character i s c h a t p -p -t p t e r , t h e l i m i t
Milliseconds 39 63 98 75 74 103 102 57 278 120 156 50 79 92 39 148 82 54 79 99 146 140 69 88 118
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 84 143 98 90 81 70 67 83 74 60 43 97 124 83 92 98 340 133 68 113 83 68 118 101 99
Character y s a f o u n d a t i o n a l r o l e t h
Milliseconds 62 135 176 11 218 127 126 188 68 45 98 176 343 181 85 127 75 143 97 55 102 98 82 93 84
Character r o u g h o u t c a l c u l u s .
Milliseconds 50 101 140 81 31 147 125 46 76 288 75 85 88 136 179 137 72 103
WPM Timing
Seconds WPM
1.8 100.06
3.6 123.41
5.4 131.19
7.2 121.74
8.99 120.07
10.79 125.63
12.59 120.07
14.39 118.41
16.19 118.59
17.99 118.74
19.79 120.68
21.59 121.74
23.39 124.18
25.18 124.84
26.98 123.19
28.78 122.99
30.58 123.21
32.38 123.78
34.18 121.48
35.98 119.41
37.78 119.76
39.58 119.16
41.37 117.46
43.17 118.41
44.97 117.4
46.77 118.28
48.57 118.84
50.37 119.12
52.17 118.69
53.97 119.18
55.77 120.07
57.56 118.61
59.36 117.85
61.16 116.74
62.96 117.6
64.76 117.85
66.56 118.45
68.36 118.67
70.16 116.82
71.96 116.74
73.76 116.01
75.55 115.94
77.35 116.82
79.15 117.34
80.95 116.22
82.75 116.45
84.55 116.38
86.35 115.9
88.15 115.99
89.95 115.27