huichung (hh_chng)

Race #3780

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Official speed 89.31 wpm (116.09 seconds elapsed during race)
Without ending ping 89.46 wpm (200 ms delay sending score to TypeRacer’s server)
Timerless 90.08 wpm (789 ms elapsed before first character typed; 115.10 seconds elapsed during race)
Timerless minus one 89.97 wpm, ignoring the first character typed
Race Start April 7, 2024 9:41:01am UTC
Race Finish April 7, 2024 9:42:57am UTC
Outcome No win (2 of 3)
Opponents 1. pandy69 (116.46 wpm)
Accuracy 96.8%
Points 241.14
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 changei n in one quantity is related to a change in another. How does the pss;eespeepeed of a falling object change as a function of time time? How does the level of water in a barrel change as a function of a the maamounto qof of liquied poured intoo it? We see change occuring in occurring in nearly everythiing we observe in the world asnnd univers, e4, , and powerful modern instrucments help us see more and more. In this seciton wsection we interroududuce the ideaso of average and instantaneous rates of change, and show tha t they are closely related ot tto the slpope of a curve at a point P on the curve. We give preciesse devedloplop ment s of these important cooncconcepts in the next chapter, but for now we use an informal approach osso you will see how they lead naturally to the main idea of this chapter, the mlimit. The idea of a limit plays a foundation al 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 789 58 112 214 90 168 182 202 90 55 236 91 182 88 135 90 90 123 58 67 89 33 68 60 87
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 90 78 114 114 101 88 102 100 247 136 55 114 67 157 91 25 109 79 101 56 45 68 79 68 89
Character c h a n g e i n - -n - - -i i n o n e q
Milliseconds 91 67 115 8 113 67 47 0 88 127 267 115 134 135 215 110 67 206 34 53 214 68 101 90 126
Character u a n t i t y i s r e l a t e d t o a c
Milliseconds 76 146 158 136 67 114 42 68 92 88 56 226 67 79 169 135 101 123 34 214 91 89 483 113 102
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 67 79 68 89 48 44 9 92 88 57 91 89 58 88 34 79 90 33 135 58 67 135 282 66 102
Character s t h e p s -s -p s ; e e -e -e -; s p e e -e -e -p -s
Milliseconds 122 80 79 55 68 93 34 87 382 102 147 66 102 89 259 115 155 135 57 137 87 383 114 89 112
Character p e e d o f a f a l l i n g o b j e c t
Milliseconds 281 112 113 135 67 80 90 57 214 100 191 68 24 111 78 56 104 67 111 79 113 81 134 100 55
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 135 68 91 34 88 57 472 124 126 100 90 45 100 81 121 80 89 12 34 68 46 100 89 45 191
Character i m e - -t -i -m -e - t i m e ? H o w d o e s
Milliseconds 12 101 394 292 441 552 988 0 0 0 0 586 32 68 78 316 157 147 113 281 101 450 67 101 148
Character t h e l e v e l o f w a t e r i n a
Milliseconds 54 135 68 67 68 68 67 90 78 57 56 92 54 80 215 110 67 92 43 58 55 46 81 75 92
Character b a r r e l c h a n g e a s a f u n c t i
Milliseconds 224 91 156 114 81 54 89 158 55 114 12 102 54 68 101 280 80 78 91 89 80 123 70 88 13
Character o n o f a - -a t h e m a -a -m a m o u n t o
Milliseconds 34 66 56 101 0 101 79 147 350 100 149 75 67 80 89 125 223 102 112 80 89 93 110 92 88
Character - -o q o f -q -o -f - o f l i q u i e -e d p
Milliseconds 11 394 104 88 33 57 89 69 303 0 0 0 303 58 77 101 416 147 92 110 79 382 124 91 224
Character o u r e d i n t o -o o i t ? W e s e e c
Milliseconds 124 518 101 81 144 112 68 79 134 598 214 595 67 146 113 214 56 147 156 68 113 135 101 90 81
Character h a n g e o c c u r i n g i n -i -n - -o -c -c -u
Milliseconds 76 93 42 67 69 90 67 115 101 88 89 57 56 93 66 56 33 56 305 0 0 111 0 0 0
Character -r -i -n -g - o c c u r r i n g i n n e a r l y
Milliseconds 0 0 0 0 0 416 102 112 135 158 102 89 45 123 68 45 46 55 214 90 79 22 71 100 54
Character e v e r y t h i i -i n g w e o b s e r v e i
Milliseconds 102 113 67 81 33 134 33 22 80 530 144 57 90 59 109 79 90 91 201 57 78 135 46 56 12
Character n t h e w o r l d a s n -n -s n d u n i v e
Milliseconds 81 87 46 69 65 68 67 69 79 67 77 79 93 99 102 348 90 180 89 79 168 136 92 88 80
Character r s , - -, e 4 , - -, -4 , a n d p o w e r f
Milliseconds 110 105 101 67 483 100 124 0 92 89 257 105 121 405 78 90 101 113 59 76 91 77 46 59 154
Character u l m o d e r n i n s t r u c -c m e n t s h
Milliseconds 48 99 68 135 101 146 135 81 76 79 79 78 91 101 146 57 113 291 326 68 90 90 82 87 113
Character e l p u s s e e m o r e a n d m o r e .
Milliseconds 101 90 78 90 125 111 57 168 135 89 46 93 42 67 34 45 135 34 101 68 79 45 90 33 101
Character I n t h i s s e c i t o n w -w -s -e -c -i -t -o
Milliseconds 58 135 148 76 135 57 89 113 82 87 89 146 135 0 58 55 69 122 259 113 0 0 0 0 0
Character -n - s e c t i o n w e i n t e r -r -e r o u d u
Milliseconds 0 0 236 113 157 161 33 33 76 68 101 138 100 179 90 89 92 111 372 101 136 89 91 89 89
Character -u -d -u d u c e t h e i d e a s o - -o o f
Milliseconds 293 114 101 325 68 104 110 78 68 56 91 55 101 147 295 88 224 305 134 225 101 79 101 101 58
Character a v e r a g e a n d i n s t a n t a n e o u s
Milliseconds 236 258 57 147 78 100 69 66 124 81 122 56 157 90 79 148 67 148 167 168 202 169 327 101 89
Character r a t e s o f c h a n g e , a n d s h o
Milliseconds 93 137 74 91 78 124 67 270 79 90 180 89 113 68 67 58 67 55 57 90 80 43 124 69 46
Character w t h a - t t h e y a r e c l o s e l y
Milliseconds 101 67 235 247 124 126 403 394 78 160 109 58 78 45 67 101 59 43 135 56 102 114 54 90 125
Character r e l a t e d o t t -t -o -t - t o t h e s
Milliseconds 47 134 66 78 101 138 100 122 57 124 14 100 88 315 90 0 0 214 79 68 89 67 68 67 104
Character l p -p o p e o f a c u r v e a t a p o
Milliseconds 101 212 495 338 145 102 91 89 67 56 79 79 181 89 126 189 56 135 104 88 67 90 79 192 156
Character i n t P o n t h e c u r v e . W e g i
Milliseconds 47 114 33 133 225 270 124 89 95 65 88 67 46 123 101 92 156 68 60 74 135 147 93 109 79
Character v e p r e c i e s -s -e s e d e v e d l o p -p -o
Milliseconds 67 46 90 79 101 56 191 101 124 146 281 91 112 67 102 146 135 135 58 0 43 135 147 202 101
Character -l -d l o p - m e n t - s o f t h e s e i
Milliseconds 113 101 236 125 201 349 417 192 77 93 76 125 337 123 91 89 92 77 113 56 281 192 115 88 100
Character m p o r t a n t c o o n c -c -o -o -n -c c o n c e p
Milliseconds 81 248 121 91 145 68 33 113 56 192 114 451 76 101 272 0 0 0 0 269 55 68 93 133 135
Character t s i n t h e n e x t c h a p t e r , b
Milliseconds 114 335 101 90 58 43 91 56 67 45 90 59 121 134 35 126 54 90 112 102 92 69 87 55 92
Character u t f o r n o w w e u s e a n i n f o
Milliseconds 46 88 56 146 67 439 105 87 89 45 68 101 113 48 143 67 68 91 100 68 79 89 68 135 92
Character r m a l a p p r o a c h o s -s -o s o y o u
Milliseconds 68 66 101 67 123 58 168 115 121 89 79 136 67 91 122 46 382 90 102 78 56 135 68 70 68
Character w i l l s e e h o w t h e y l e a d n a
Milliseconds 87 80 156 102 45 90 157 101 56 101 67 58 78 125 55 79 56 34 416 78 80 101 101 124 57
Character t u r a l l y t o t h e m a i n i d e a
Milliseconds 150 74 92 54 91 124 135 45 111 68 79 68 58 76 68 79 79 47 76 58 89 90 145 68 135
Character o f t h i s c h a p t e r , t h e m -m l i
Milliseconds 57 90 67 126 43 78 101 93 222 68 90 57 157 57 89 46 56 100 60 88 33 124 348 214 126
Character m i t . T h e i d e a o f a l i m i t
Milliseconds 121 102 113 114 55 146 67 90 79 68 100 136 0 438 79 101 67 68 91 257 113 135 93 109 68
Character p l a y s a f o u n d a t i o n - a l r o
Milliseconds 79 101 59 88 135 90 67 91 190 193 55 135 67 68 172 55 0 66 123 348 126 67 123 180 67
Character l e t h r o u g h o u t c a l c u l u s .
Milliseconds 135 67 93 88 56 113 45 55 102 46 55 101 68 70 134 88 101 127 88 135 123 180 46
WPM Timing
Seconds WPM
2.32 62.02
4.64 90.45
6.97 96.48
9.29 93.03
11.61 93.03
13.93 101.65
16.25 90.08
18.57 89.15
20.9 91.31
23.22 88.38
25.54 82.22
27.86 82.69
30.18 86.27
32.51 88.97
34.83 86.48
37.15 83.99
39.47 82.69
41.79 81.55
44.11 79.7
46.44 82.69
48.76 83.93
51.08 84.1
53.4 82.02
55.72 83.34
58.05 84.76
60.37 85.08
62.69 84.61
65.01 83.62
67.33 82.52
69.65 83.21
71.98 84.03
74.3 83.66
76.62 85.2
78.94 84.06
81.26 84.61
83.58 85.42
85.91 85.49
88.23 84.05
90.55 83.75
92.87 83.08
95.19 83.83
97.52 84.66
99.84 85.7
102.16 85.98
104.48 86.71
106.8 87.86
109.12 88.19
111.45 88.51
113.77 88.6
116.09 89.31