DomPixel (dompixel)

Race #65

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Official speed 91.35 wpm (113.50 seconds elapsed during race)
Without ending ping 92.34 wpm (1,213 ms delay sending score to TypeRacer’s server)
Timerless 92.44 wpm (125 ms elapsed before first character typed; 112.16 seconds elapsed during race)
Timerless minus one 92.33 wpm, ignoring the first character typed
Race Start February 5, 2024 10:43:44am UTC
Race Finish February 5, 2024 10:45:37am UTC
Outcome No win (2 of 3)
Opponents 1. bryan_xd (96.89 wpm)
Accuracy 98.4%
Points 246.64
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 aCalculus is a tool that helps us understand how a change in ojne ne quantity is related to a change in another. How does the sppeeed of a falling object change as a function of time? How does the level of water ina ba a barrel change as a function of the amount of liquiedd poured into it? We see change occurring in nearly everything we observe in the world andd universe, and powerful nmodern instruments help us see more and more. In this esection we introduce the ideas of average and instantaneous rates of change, and show that they are closely related to the slpope of a curve ant 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 narturally into the main idea of this chapter, the limit. The idea of a limit plays a foundational role through caout calculus.
Timing
Character a -a C a l c u l u s i s a t o o l t h a t
Milliseconds 125 551 226 174 128 192 176 193 175 121 128 104 95 82 88 72 143 81 126 161 81 104 96 78 89
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 65 119 96 97 79 159 96 120 105 71 153 192 120 161 103 159 80 105 104 88 80 96 72 64 103
Character a c h a n g e i n o j n e - -e -n -j n e q
Milliseconds 81 80 144 40 88 79 96 96 73 143 49 80 95 105 16 144 80 288 127 137 112 232 96 152 152
Character u a n t i t y i s r e l a t e d t o a c
Milliseconds 152 120 88 120 72 104 167 89 127 97 64 176 72 112 79 105 120 184 87 129 71 137 63 130 158
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 89 81 79 89 103 104 120 96 57 63 112 103 40 105 112 88 55 56 217 127 145 136 119 113 72
Character s t h e s p p e -e -p e e d o f a f a l l
Milliseconds 63 105 120 72 113 127 96 96 176 56 320 128 103 145 168 96 113 95 89 95 312 216 104 104 119
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 96 88 73 104 64 200 288 183 145 192 96 367 249 239 89 177 112 119 153 128 151 88 112 240 104
Character n c t i o n o f t i m e ? H o w d o e s
Milliseconds 184 72 192 15 80 58 96 88 129 71 121 76 58 74 190 96 201 120 136 89 112 136 81 95 103
Character t h e l e v e l o f w a t e r i n a b a
Milliseconds 87 88 89 73 144 89 189 50 151 95 138 80 102 176 104 96 128 79 106 111 73 119 97 129 127
Character -a -b - -a a b a r r e l c h a n g e a s a
Milliseconds 200 135 138 136 104 152 256 401 55 103 160 240 151 161 281 143 40 128 64 64 137 104 104 112 70
Character f u n c t i o n o f t h e a m o u n t o
Milliseconds 74 118 73 160 103 200 49 96 24 102 98 111 73 106 54 96 96 79 96 82 118 177 96 80 128
Character f l i q u i e d -d -e d p o u r e d i n t o
Milliseconds 111 103 227 143 182 114 80 319 224 234 128 79 104 182 185 129 152 120 232 112 79 105 70 105 64
Character i t ? W e s e e c h a n g e o c c u r r i
Milliseconds 184 135 273 97 216 232 129 97 110 151 104 96 128 17 119 89 62 80 90 104 143 336 216 136 112
Character n g i n n e a r l y e v e r y t h i n g w
Milliseconds 79 104 96 97 48 104 216 257 96 63 113 87 89 184 168 136 80 87 145 104 87 97 55 57 135
Character e o b s e r v e i n t h e w o r l d a n
Milliseconds 73 96 176 80 207 121 55 225 96 104 55 90 87 48 79 96 82 95 104 111 81 167 97 79 80
Character d -d d u n i v e r s e , a n d p o w e r f u
Milliseconds 120 304 425 127 152 208 177 184 144 103 89 87 88 105 119 120 73 94 73 152 159 90 112 199 120
Character l n -n m o d e r n i n s t r u m e n t s h e
Milliseconds 97 128 144 391 160 152 145 175 88 89 120 47 88 73 127 152 104 185 96 152 72 112 112 104 152
Character l p u s s e e m o r e a n d m o r e .
Milliseconds 80 104 142 138 128 79 329 79 80 456 88 97 119 415 202 96 119 79 73 81 96 71 56 104 64
Character I n t h i s e -e s e c t i o n w e i n t r
Milliseconds 256 145 96 111 57 71 112 96 153 431 81 87 169 206 58 87 33 120 120 87 121 208 72 130 166
Character o d u c e t h e i d e a s o f a v e r a g
Milliseconds 105 150 161 96 71 81 119 89 87 103 145 105 175 176 128 257 119 120 88 177 191 144 96 88 120
Character e a n d i n s t a n t a n e o u s r a t e s
Milliseconds 63 90 104 127 96 97 87 137 23 129 104 127 169 118 217 160 232 192 385 239 265 104 136 79 97
Character o f c h a n g e , a n d s h o w t h a t
Milliseconds 104 136 119 97 160 104 55 120 81 72 88 87 145 135 129 88 128 72 80 88 103 120 73 71 97
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 48 103 57 88 87 32 97 96 80 55 160 105 168 104 104 176 151 185 384 104 87 88 97 94 178
Character t o t h e s l p -p o p e o f a c u r v
Milliseconds 72 112 47 88 65 88 88 71 161 88 152 432 192 96 192 136 120 96 88 72 120 176 128 96 200
Character e a n -n t a p o i n t P o n t h e c
Milliseconds 64 71 112 168 409 120 103 137 120 169 128 104 71 152 137 288 120 178 78 80 71 71 104 65 127
Character u r v e . W e g i v e p r e c i s e d e v
Milliseconds 120 105 208 71 130 103 175 216 153 153 87 129 38 57 120 120 79 144 170 72 87 63 208 280 208
Character e l o p m e n t s o f t h e s e i m p o r t
Milliseconds 81 127 184 96 265 168 120 144 103 129 105 94 81 105 38 137 105 126 113 152 104 88 104 168 183
Character a n t c o n c e p t s i n t h e n e x t
Milliseconds 80 104 89 103 208 104 65 112 111 145 167 281 144 79 80 97 72 80 96 63 120 65 160 151 96
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 393 88 80 71 170 175 112 80 47 170 166 113 80 175 105 96 87 192 81 71 121 144 72 128 183
Character s e a n i n f o r m a l a p p r o a c h s
Milliseconds 121 72 88 128 128 79 201 119 201 167 144 104 97 128 80 151 121 136 128 96 208 152 247 241 224
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 95 89 152 119 88 50 79 103 73 120 103 121 112 151 105 112 79 58 111 80 47 121 48 80 128
Character e a d n a r -r t u r a l l y i n -n -i t o t h
Milliseconds 72 63 104 113 136 80 104 296 88 136 152 105 112 135 97 95 143 80 297 119 288 97 88 96 80
Character e m a i n i d e a o f t h i s c h a p t
Milliseconds 96 79 105 79 48 89 104 151 161 151 72 96 120 120 101 100 71 90 71 104 89 104 38 104 128
Character e r , t h e l i m i t . T h e i d e a o
Milliseconds 161 72 96 55 113 71 81 40 496 184 112 95 200 282 127 257 -899 161 128 160 96 136 57 142 177
Character f a l i m i t p l a y s a f o u n d a t
Milliseconds 128 127 104 139 95 89 119 105 142 103 153 176 120 112 135 112 80 104 137 104 48 167 56 121 120
Character i o n a l r o l e t h r o u g h c a -a -c - o
Milliseconds 88 80 31 177 233 127 296 144 167 105 64 87 65 104 96 56 135 80 120 113 176 272 135 121 208
Character u t c a l c u l u s .
Milliseconds 63 81 119 185 215 169 176 112 136 215 177 152
WPM Timing
Seconds WPM
2.27 47.58
4.54 84.58
6.81 95.16
9.08 85.9
11.35 89.87
13.62 95.16
15.89 92.89
18.16 93.17
20.43 89.87
22.7 91.98
24.97 93.23
27.24 91.19
29.51 88.24
31.78 91
34.05 91.63
36.32 89.54
38.59 89.56
40.86 89.87
43.13 90.7
45.4 92.25
47.67 90.63
49.94 90.11
52.21 90.56
54.48 89.87
56.75 90.5
59.02 90.07
61.29 90.26
63.56 90.81
65.83 90.05
68.1 90.93
70.37 91.4
72.64 91.36
74.91 91.15
77.18 90.8
79.45 91.08
81.72 90.9
83.99 91.16
86.26 91.54
88.53 91.5
90.8 91.85
93.07 91.67
95.34 91.88
97.61 92.08
99.88 91.91
102.15 92.45
104.42 92.86
106.69 93.02
108.96 93.17
111.23 92.46
113.5 91.35