Pasin Thanyakasikol (boonpasin)

Race #299

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Official speed 103.61 wpm (100.07 seconds elapsed during race)
Without ending ping 103.80 wpm (186 ms delay sending score to TypeRacer’s server)
Timerless 104.16 wpm (342 ms elapsed before first character typed; 99.54 seconds elapsed during race)
Timerless minus one 104.04 wpm, ignoring the first character typed
Race Start October 30, 2023 4:11:28am UTC
Race Finish October 30, 2023 4:13:08am UTC
Outcome No win (2 of 5)
Opponents 1. bilboballins (116.93 wpm)
Accuracy 97.4%
Points 279.74
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. Howe doeess the speed of a falling object change as a function of time? How does a the level of water in a barrel change as a function of the amount of liquid poured into it? We see change orcccuring inring in nearly everything we bobserve in the world and universe, and powerfeul modreern instruments hlepelp us see more and more. I nn this section we introduce the ideas of average nadand instantatneuous reatesates of change, and show that they are closely related to the slope of a cureve that at a point P on the cursve. 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 thae main idea of this chapter, the limit. The idea of a litmit plays a foundational role through out calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 342 187 129 126 96 132 77 83 67 96 100 30 146 41 128 96 125 135 97 116 46 92 36 44 133
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 104 109 220 142 145 90 83 77 136 78 75 130 97 145 65 124 20 126 43 107 86 75 65 138 41
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 121 55 166 84 81 108 57 84 70 105 72 63 94 69 208 71 120 76 295 106 181 94 97 71 86
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 78 83 39 152 87 159 55 109 108 113 94 127 109 70 101 69 77 82 87 50 78 104 74 106 107
Character n o t h e r . H o w e - -e d o e e s -s -e s
Milliseconds 84 70 32 109 57 39 113 107 172 147 110 6 54 349 102 159 103 49 94 133 56 286 100 161 112
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 110 58 77 53 117 95 85 116 116 195 84 116 83 97 88 222 224 144 116 308 61 115 76 147 303
Character j e c t c h a n g e a s a f u n c t i o n
Milliseconds 184 79 79 150 93 138 67 95 108 41 106 115 142 38 127 170 79 92 98 64 85 159 48 68 44
Character o f t i m e ? H o w d o e s a - -a t h
Milliseconds 78 78 80 55 103 77 75 88 186 138 277 176 115 69 103 66 83 38 127 121 100 403 100 296 77
Character e l e v e l o f w a t e r i n a b a r
Milliseconds 68 66 84 49 95 79 60 123 93 117 210 126 88 91 109 48 75 103 45 113 139 91 433 82 101
Character r e l c h a n g e a s a f u n c t i o n
Milliseconds 123 139 122 123 67 84 104 103 67 89 93 114 63 71 101 81 41 119 56 122 188 66 80 29 96
Character o f t h e a m o u n t o f l i q u i d p
Milliseconds 115 19 145 125 86 70 73 137 105 88 219 150 99 93 79 89 67 75 79 139 81 58 114 86 239
Character o u r e d i n t o i t ? W e s e e c h a
Milliseconds 217 149 90 113 111 92 53 79 49 127 21 255 85 219 155 138 187 101 118 32 110 109 91 82 86
Character n g e o r c -c -r c c u r i n g i n -n -i - -g -n -i
Milliseconds 116 45 94 144 169 76 175 178 89 197 121 73 103 102 52 89 69 65 76 286 101 116 128 133 110
Character r i n g i n n e a r l y e v e r y t h i n g
Milliseconds 152 78 55 91 56 47 81 94 88 90 61 51 100 112 76 74 108 79 89 103 141 86 49 96 42
Character w e b -b o b s e r v e i n t h e w o r l
Milliseconds 137 239 46 155 201 258 158 73 216 67 119 199 80 126 88 53 99 67 94 42 86 57 83 60 89
Character d a n d u n i v e r s e , a n d p o w e r
Milliseconds 77 74 94 55 80 43 82 82 122 120 132 64 80 156 189 127 112 83 42 74 210 92 242 56 59
Character f e -e u l m o d r e -e -r e r n i n s t r u m e
Milliseconds 201 34 312 153 73 122 58 178 130 180 78 296 85 73 55 95 67 85 67 204 102 60 108 171 83
Character n t s h l e p -p -e -l e l p u s s e e m o r
Milliseconds 66 80 44 106 35 119 10 148 235 93 113 192 92 90 96 214 94 80 125 52 110 163 71 150 39
Character e a n d m o r e . I n -n - n t h i s s
Milliseconds 25 163 157 87 50 77 65 72 53 40 95 124 114 112 147 264 86 141 46 118 57 48 44 81 76
Character e c t i o n w e i n t r o d u c e t h e i
Milliseconds 84 127 176 72 47 48 89 75 41 109 60 69 95 154 125 165 104 244 44 121 91 53 48 73 84
Character d e a s o f a v e r a g e n a d -d -a -n a n d
Milliseconds 109 136 55 101 108 120 331 105 92 161 160 225 223 98 80 118 143 10 114 297 96 112 104 94 79
Character i n s t a n t a t -t n e u -u o u s r e a -a -e t
Milliseconds 62 70 74 272 65 83 84 525 71 233 324 134 19 165 465 182 41 88 88 89 36 49 240 96 105
Character e s -s -e -t a t e s o f c h a n g e , a n d
Milliseconds 95 183 243 121 105 207 66 69 78 95 72 85 62 118 39 171 152 82 46 83 77 121 68 59 80
Character s h o w t h a t t h e y a r e c l o s e l
Milliseconds 65 75 42 53 48 124 48 114 15 90 100 65 61 78 51 104 46 77 113 104 116 239 118 36 213
Character y r e l a t e d t o t h e s l o p e o f
Milliseconds 118 95 92 37 118 123 63 95 123 106 79 79 103 18 106 29 103 70 285 213 103 100 65 107 106
Character a c u r e -e v e t h a t - -t -a -h -t a t a
Milliseconds 40 112 48 87 97 83 68 245 47 50 112 111 56 81 46 67 299 97 110 132 103 143 52 84 105
Character p o i n t P o n t h e c u r s -s v e .
Milliseconds 59 328 44 90 19 59 93 221 385 205 43 83 73 55 65 64 143 56 103 84 269 72 44 114 121
Character W e g i v e p r e c i s e d e v e l o p m e
Milliseconds 183 169 135 106 58 97 120 251 156 91 29 203 100 160 84 102 93 123 102 373 351 124 69 186 68
Character n t s o f t h e s e i m p o r t a n t c o
Milliseconds 111 53 75 119 109 58 101 212 74 69 75 79 103 81 98 135 97 22 164 69 109 117 204 115 60
Character n c e p t s i n t h e n e x t c h a p t e
Milliseconds 78 330 86 115 93 64 86 64 78 91 54 103 53 83 72 69 132 125 75 128 62 58 140 85 83
Character r , b u t f o r n o w w e u s e a n
Milliseconds 71 126 86 105 65 71 83 85 68 74 36 88 76 23 83 211 14 450 108 101 34 81 110 77 104
Character i n f o r m a l a p p r o a c h s o y o u
Milliseconds 94 65 124 96 60 122 81 68 111 91 84 122 96 129 95 306 78 109 121 74 79 119 38 62 70
Character w i l l s e e h o w t h e y l e a d n a
Milliseconds 66 96 63 100 171 96 32 110 170 138 66 80 92 106 80 45 68 86 97 22 35 80 91 101 68
Character t u r a l l y t o t h a -a e m a i n i d e
Milliseconds 55 111 92 68 90 102 94 73 80 62 87 16 114 50 273 47 92 90 63 73 73 80 81 132 150
Character a o f t h i s c h a p t e r , t h e l i
Milliseconds 65 114 74 89 72 190 42 50 64 98 188 81 40 128 139 82 70 112 68 86 72 48 118 68 78
Character m i t . T h e i d e a o f a l i t -t m i
Milliseconds 207 62 102 82 88 184 136 79 57 65 72 115 69 84 55 82 72 82 120 91 124 124 244 118 64
Character t p l a y s a f o u n d a t i o n a l r o
Milliseconds 74 66 116 68 59 46 129 100 81 74 72 84 55 74 122 80 184 73 57 37 81 75 91 108 111
Character l e t h r o u g h - o u t c a l c u l u s .
Milliseconds 142 34 98 120 59 101 124 57 98 18 124 338 153 74 42 77 130 58 68 116 81 83 64 83 62
WPM Timing
Seconds WPM
2 101.93
4 107.93
6 115.92
8.01 113.92
10.01 117.52
12.01 112.92
14.01 108.78
16.01 105.68
18.01 105.93
20.01 106.73
22.01 104.11
24.02 104.93
26.02 105.62
28.02 106.64
30.02 106.73
32.02 106.43
34.02 104.75
36.02 101.93
38.03 102.88
40.03 102.53
42.03 103.93
44.03 102.75
46.03 102.19
48.03 100.93
50.03 100.97
52.04 102.16
54.04 102.15
56.04 100.65
58.04 99.66
60.04 97.73
62.04 96.71
64.04 98.93
66.04 99.21
68.05 99.64
70.05 98.16
72.05 98.27
74.05 97.88
76.05 97.51
78.05 98.09
80.05 98.48
82.06 99.44
84.06 99.79
86.06 100.12
88.06 101.11
90.06 101.66
92.06 102.06
94.06 102.7
96.06 102.93
98.07 103.64
100.07 103.61