penguinshade (penguinshade)

Race #56

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Official speed 110.04 wpm (94.22 seconds elapsed during race)
Without ending ping 110.18 wpm (118 ms delay sending score to TypeRacer’s server)
Timerless 111.13 wpm (807 ms elapsed before first character typed; 93.30 seconds elapsed during race)
Timerless minus one 111.00 wpm, ignoring the first character typed
Race Start November 18, 2024 3:17:05pm UTC
Race Finish November 18, 2024 3:18:39pm UTC
Outcome No win (3 of 5)
Opponents 2. thecartel (112.54 wpm)
4. gushinartem (107.70 wpm)
Accuracy 98.0%
Points 297.12
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 Calculaus is toa tool that helps us undertsstand how a change in one quantity is related to az chanchanchange ina change in another. How does the speed of a falling object change as a function foof time? How does the leelvel of water in a barreel l change as a fucnction of the maamount of liquid poured into it > W? We see change occuring inring in nearly everything we observicee 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 naturllally to the main idea of this chapter, the limit. IThe idea of a limit plays a foundational role throughout colalculus.
Timing
Character C a l c u l a -a u s i s t o -o -t a t o o l
Milliseconds 807 173 127 136 115 56 167 291 204 120 133 244 105 60 102 102 307 125 168 94 83 76 130 144 73
Character t h a t h e l p s u s u n d e r t s -s -t s t
Milliseconds 234 80 49 57 82 147 95 67 167 137 122 112 68 82 333 44 37 174 49 166 45 263 121 120 43
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 72 99 96 67 98 46 59 64 114 57 82 85 52 84 373 56 97 111 43 65 165 50 76 86 115
Character u a n t i t y i s r e l a t e d t o a z
Milliseconds 107 114 71 130 57 129 55 111 183 83 67 115 38 141 74 42 45 136 74 110 49 49 76 0 66
Character c h a n -n -a -h -c - c h a n -n -a -z -c -h -a c h a n g e
Milliseconds 131 32 41 138 158 153 159 150 145 137 47 113 71 330 198 0 0 0 0 485 63 54 84 85 33
Character i n -n -c -h -a -n -g -e - -i a c h a n g e i n a
Milliseconds 84 126 73 997 787 0 0 0 0 0 0 0 413 100 186 84 79 56 52 44 43 72 46 70 61
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 75 99 0 98 37 46 70 75 151 120 81 43 87 101 84 0 71 92 64 75 36 96 96 65 121
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 126 112 377 79 28 121 134 198 45 73 116 58 37 115 41 119 35 192 54 20 175 48 129 72 25
Character n g e a s a f u n c t i o n f o -o -f o f
Milliseconds 131 33 39 59 49 49 68 384 155 79 100 58 138 156 71 45 62 75 82 126 229 150 171 71 78
Character t i m e ? H o w d o e s t h e l e e l -l -e
Milliseconds 105 65 34 70 179 145 284 137 77 60 69 83 61 21 109 51 397 52 72 119 105 156 130 239 133
Character v e l o f w a t e r i n a b a r r e e l
Milliseconds 168 23 59 86 134 77 36 112 50 66 91 81 236 187 55 42 102 71 91 187 69 206 38 98 249
Character - -l -e l c h a n g e a s a f u c -c n c t
Milliseconds 75 226 141 133 182 89 59 90 62 92 79 44 80 67 57 29 144 40 68 102 106 284 202 104 136
Character i o n o f t h e m a -a -m a m o u n t o f
Milliseconds 100 45 89 83 64 51 77 77 45 66 67 85 98 246 125 113 78 86 99 69 97 52 46 94 60
Character l i q u i d p o u r e d i n t o i t - >
Milliseconds 107 55 42 133 63 56 78 133 293 77 115 60 123 96 84 35 86 73 70 76 106 246 656 326 195
Character W -W - -> ? W e s e e c h a n g e o c c u r
Milliseconds 220 236 146 151 377 253 268 196 130 85 64 125 108 75 103 62 99 47 70 32 55 82 140 62 112
Character i n g i n -n -i - -g -n -i r i n g i n n e a r l
Milliseconds 73 45 97 50 102 52 210 174 175 138 187 210 339 98 29 106 38 89 50 72 132 88 70 83 83
Character y e v e r y t h i n g w e o b s e r v i c e
Milliseconds 116 72 96 109 113 61 79 103 63 105 79 50 86 101 0 78 119 71 95 30 53 166 274 200 0
Character -e -c -i e i n t h e w o r l d a n d u n i
Milliseconds 178 167 147 190 131 148 41 106 52 103 41 102 37 89 43 115 89 29 85 66 56 54 85 56 120
Character v e r s e , a n d p o w e r f u l m o d e r
Milliseconds 62 206 94 97 66 89 43 89 50 88 0 110 50 38 25 68 91 121 0 91 114 76 34 126 52
Character n i n s t r u m e n t s h e l p u s s e e
Milliseconds 95 50 82 50 74 24 127 64 67 122 75 115 54 86 98 85 62 165 48 91 69 97 50 50 132
Character m o r e a n d m o r e . I n t h i s s
Milliseconds 183 0 33 56 44 50 81 106 49 82 69 50 120 0 112 66 186 164 95 54 119 25 24 115 68
Character e c t i o n w e i n t r o d u c e t h e i
Milliseconds 66 48 276 0 65 51 60 80 23 118 185 68 113 114 67 149 122 111 60 89 167 32 87 60 58
Character d e a s o f a v e r a g e a n d i n s t a
Milliseconds 74 123 39 114 136 101 53 105 135 109 459 62 138 65 75 92 92 59 63 71 99 65 98 40 85
Character n t a n e o u s r a t e s o f c h a n g e ,
Milliseconds 122 105 119 133 162 182 51 94 107 119 106 80 71 71 142 102 183 0 77 78 17 140 40 64 98
Character a n d s h o w t h a t t h e y a r e c
Milliseconds 56 99 74 69 69 105 45 57 62 81 50 88 68 44 63 113 0 100 76 47 117 37 34 77 71
Character l o s e l y r e l a t e d t o t h e s l o
Milliseconds 86 132 45 27 105 119 127 102 42 101 128 27 49 122 141 49 66 66 82 106 20 102 36 97 148
Character p e o f a c u r v e a t a p o i n t
Milliseconds 150 39 100 65 52 80 110 72 47 95 91 155 85 98 87 46 111 56 103 139 62 149 60 90 59
Character P o n t h e c u r v e . W e g i v e p
Milliseconds 160 135 106 77 35 121 50 57 91 51 95 69 199 53 81 39 207 162 133 42 107 71 47 54 84
Character r e c i s e d e v e l o p m e n t s o f t h
Milliseconds 85 31 161 118 63 56 84 64 144 80 78 87 142 162 153 86 82 67 51 101 63 127 65 132 40
Character e s e i m p o r t a n t c o n c e p t s i n
Milliseconds 87 116 52 62 91 82 100 64 21 148 34 100 86 50 114 83 64 360 206 0 99 51 71 104 66
Character t h e n e x t c h a p t e r , b u t f o
Milliseconds 55 104 60 37 74 62 93 113 85 83 89 64 90 71 97 98 56 102 83 97 62 56 60 90 58
Character r n o w w e u s e a n i n f o r m a l
Milliseconds 101 39 109 76 34 95 100 51 70 194 64 44 81 97 103 71 94 67 116 52 65 100 98 82 86
Character a p p r o a c h s o y o u w i l l s e e
Milliseconds 69 86 128 84 53 100 67 95 22 117 62 76 96 91 119 0 67 102 0 138 53 66 71 131 79
Character h o w t h e y l e a d n a t u r l l -l -l a l
Milliseconds 79 64 89 65 141 21 113 52 47 110 48 107 38 90 23 97 55 43 114 82 131 240 214 50 99
Character l y t o t h e m a i n i d e a o f t h
Milliseconds 132 66 59 142 61 47 101 57 55 77 83 86 89 47 48 118 54 146 34 85 53 48 91 84 72
Character i s c h a p t e r , t h e l i m i t . I -I
Milliseconds 35 50 99 64 98 63 86 92 116 49 79 48 106 49 78 48 96 43 95 172 207 123 54 196 248
Character T h e i d e a o f a l i m i t p l a y s
Milliseconds 166 169 102 54 97 0 152 50 79 43 80 48 69 90 107 71 77 130 85 96 53 72 81 33 118
Character a f o u n d a t i o n a l r o l e t h r o
Milliseconds 96 60 113 79 68 45 23 96 72 86 97 0 55 94 112 42 74 63 131 76 172 0 62 54 216
Character u g h o u t c o l -l -o a l c u l u s .
Milliseconds 0 0 72 125 52 80 81 71 107 142 269 147 116 120 95 115 57 298 65 96
WPM Timing
Seconds WPM
1.88 38.21
3.77 47.76
5.65 70.05
7.54 73.23
9.42 82.78
11.31 91.28
13.19 79.15
15.08 69.25
16.96 62.97
18.84 73.87
20.73 77
22.61 83.32
24.5 82.29
26.38 85.06
28.27 84.48
30.15 85.57
32.03 85.78
33.92 86.68
35.8 88.15
37.69 87.88
39.57 83.69
41.46 84.81
43.34 82.23
45.23 84.11
47.11 84.57
48.99 85.97
50.88 88.45
52.76 90.74
54.65 92.67
56.53 94.25
58.42 95.32
60.3 95.92
62.19 96.68
64.07 99.08
65.95 100.43
67.84 101.36
69.72 102.06
71.61 102.89
73.49 103.52
75.38 104.12
77.26 105.31
79.15 106.29
81.03 107.37
82.91 108.26
84.8 108.26
86.68 109.5
88.57 108.93
90.45 109.85
92.34 110.99
94.22 110.04