batbold (bb__)

Race #42444

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Official speed 109.07 wpm (95.06 seconds elapsed during race)
Without ending ping 109.33 wpm (228 ms delay sending score to TypeRacer’s server)
Timerless 110.81 wpm (1,261 ms elapsed before first character typed; 93.57 seconds elapsed during race)
Timerless minus one 110.68 wpm, ignoring the first character typed
Race Start November 12, 2023 3:43:03am UTC
Race Finish November 12, 2023 3:44:38am UTC
Outcome No win (4 of 5)
Opponents 1. famboy32 (135.64 wpm)
2. viscoseoce (125.07 wpm)
3. davidbird764 (115.90 wpm)
Accuracy 98.4%
Points 294.50
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 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 wsee change occurring nin nearly everytienghing we doobserve in the world and universe, and powerful modern instrumensts help us see more and more. In this section we onintroduce 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 gWe give precise developments of these important concepts in the next chagpter, but for now we use an informal approach so you weill will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit playess a foundationsal role throughout clacalculcusus.
Timing
Character C a l c u l a -a u s i s a t o o l t h a t
Milliseconds 1261 191 67 191 130 67 125 516 209 64 68 88 62 67 86 86 47 44 152 49 55 45 69 64 64
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 44 87 108 66 86 64 88 46 445 173 89 83 42 114 82 86 3 17 94 124 112 126 66 62 45
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 172 110 84 94 57 116 60 107 45 131 44 42 259 45 105 131 84 67 150 25 153 41 129 67 84
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 90 81 66 111 45 65 89 36 111 87 83 89 66 86 62 89 65 87 64 112 62 87 66 90 62
Character a n o t h e r . H o w d o e s t h e s p
Milliseconds 47 38 91 86 42 66 46 103 112 64 133 149 62 44 66 88 44 85 67 108 90 42 86 193 86
Character e e d o f a f a l l i n g o b j e c t c
Milliseconds 111 127 43 65 66 64 90 111 81 90 62 218 150 194 127 65 107 88 86 130 44 63 66 89 168
Character h a n g e a s a f u n c t i o n o f t i
Milliseconds 70 82 67 85 110 42 64 44 111 84 110 84 109 66 63 87 92 18 44 110 109 17 109 44 110
Character m e ? H o w d o e s t h e l e v e l o f
Milliseconds 66 43 263 82 128 174 84 69 130 83 86 110 88 85 24 60 89 110 84 130 86 66 85 88 106
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 88 127 130 108 67 126 68 22 66 127 128 86 92 125 86 193 112 85 130 104 66 68 87 64 90
Character a s a f u n c t i o n o f t h e a m o
Milliseconds 61 129 42 91 83 131 64 129 128 105 111 107 66 44 86 110 130 83 92 61 47 62 64 154 113
Character u n t o f l i q u i d p o u r e d i n t o
Milliseconds 61 43 63 87 23 108 66 153 64 127 112 93 99 111 125 45 69 81 113 82 44 89 45 84 69
Character i t ? W e w -w s e e c h a n g e o c c u
Milliseconds 106 154 103 197 129 82 110 111 318 385 215 43 156 59 43 91 40 111 84 90 60 217 105 131 110
Character r r i n g n -n i n n e a r l y e v e r y t i
Milliseconds 101 175 151 45 62 109 259 595 173 67 84 87 67 41 64 92 63 110 170 107 65 105 91 104 110
Character e n g -g -n -e -i h i n g w e d o -d -o o b s e r v
Milliseconds 21 70 232 259 132 169 196 276 149 20 87 85 87 45 108 89 154 273 0 155 84 171 109 125 66
Character e i n t h e w o r l d a n d u n i v e r
Milliseconds 108 107 113 64 61 66 44 47 82 24 111 63 67 43 86 47 65 104 46 113 61 128 84 135 101
Character s e , a n d p o w e r f u l m o d e r n i
Milliseconds 47 64 175 84 65 92 104 44 257 86 84 91 126 46 111 21 131 150 106 85 88 106 89 45 127
Character n s t r u m e n s -s t s h e l p u s s e e
Milliseconds 88 84 44 62 47 89 128 109 126 516 147 42 111 85 110 85 555 234 174 103 67 150 86 152 64
Character m o r e a n d m o r e . I n t h i s s e
Milliseconds 115 83 39 94 60 63 111 65 66 88 85 105 66 196 20 174 130 148 43 87 45 107 107 173 110
Character c t i o n w e o n -o -n i n t r o d u c e t h
Milliseconds 126 88 63 48 42 128 20 69 127 133 107 384 0 194 88 68 37 91 106 131 85 110 64 63 89
Character e i d e a s o f a v e r a g e a n d i n
Milliseconds 43 109 177 147 83 108 44 110 86 89 84 129 86 131 128 175 84 109 109 40 113 64 61 178 86
Character s t a n t a n e o u s r a t e s o f c h a n
Milliseconds 63 64 82 134 86 679 131 193 214 86 150 128 173 191 24 129 132 62 112 60 64 131 48 81 110
Character g e , a n d s h o w t h a t t h e y a r
Milliseconds 129 65 175 62 20 112 83 89 86 49 64 81 91 62 44 109 46 42 87 26 85 4 81 43 65
Character e c l o s e l y r e l a t e d t o t h e
Milliseconds 45 130 126 90 65 83 109 91 82 130 105 69 107 60 69 128 105 89 109 108 83 44 176 82 257
Character s l o p e o f a c u r v e a t a p o i
Milliseconds 275 134 41 107 65 108 90 80 88 131 85 67 128 84 88 88 87 86 107 65 150 132 63 131 172
Character n t P o n t h e c u r v e . W E g -W -E
Milliseconds 66 65 67 192 172 132 84 61 65 48 61 66 107 68 147 68 66 194 109 229 114 190 131 302 0
Character - -g W e g i v e p r e c i s e d e v e l o p
Milliseconds 0 0 275 151 132 40 153 104 114 104 172 89 86 82 134 106 84 149 235 50 147 42 131 64 66
Character m e n t s o f t h e s e i m p o r t a n t
Milliseconds 132 105 66 107 44 94 17 105 65 68 44 44 82 67 91 149 106 127 71 164 89 64 113 60 90
Character c o n c e p t s i n t h e n e x t c h a g
Milliseconds 169 46 65 129 88 146 235 86 109 88 67 64 22 87 42 66 91 61 64 111 84 152 129 169 132
Character -g p t e r , b u t f o r n o w w e u s e
Milliseconds 471 61 175 90 100 110 110 170 85 108 85 107 111 104 68 21 88 106 90 104 90 127 69 102 90
Character a n i n f o r m a l a p p r o a c h s o
Milliseconds 87 37 90 110 132 60 85 90 103 92 104 109 170 426 130 193 62 156 82 67 85 89 84 68 108
Character y o u w e i l l -w -e -i -l -l - w i l l s e e
Milliseconds 43 154 83 108 64 67 3 43 130 127 259 0 0 0 0 0 174 20 45 134 102 65 49 167 86
Character h o w t h e y l e a d n a t u r a l l y t
Milliseconds 66 66 65 87 152 46 66 66 123 156 61 63 66 132 87 104 43 87 128 65 3 173 87 172 67
Character o t h e m a i n i d e a o f t h i s c
Milliseconds 85 128 22 68 43 68 108 60 88 45 63 111 108 43 103 130 89 85 87 107 112 64 64 112 59
Character h a p t e r , t h e l i m i t . T h e i d
Milliseconds 66 64 107 175 108 103 110 66 84 66 49 83 260 107 112 105 145 131 63 130 86 67 88 89 81
Character e a o f a l i m i t p l a y e s -s -e s a
Milliseconds 89 63 130 67 85 66 87 106 46 87 107 107 128 111 64 67 104 68 172 170 345 151 127 84 85
Character f o u n d a t i o n s -s a l r o l e t h r o
Milliseconds 131 68 65 64 67 62 151 65 67 24 67 107 511 125 132 151 82 93 89 83 149 45 150 126 112
Character u g h o u t c l a -c -l -a c a l c u l c u s -s -u -c
Milliseconds 42 64 88 109 67 41 194 85 133 39 559 0 0 147 67 67 149 86 67 84 93 146 369 125 150
Character u s .
Milliseconds 210 85 115
WPM Timing
Seconds WPM
1.9 31.56
3.8 66.28
5.7 88.37
7.6 97.83
9.51 106.04
11.41 114.67
13.31 118.12
15.21 117.56
17.11 121.33
19.01 121.19
20.91 122.22
22.81 122.03
24.72 123.81
26.62 123.98
28.52 120.35
30.42 119.14
32.32 117.33
34.22 112.91
36.12 111.29
38.02 113.3
39.92 113.92
41.83 112.75
43.73 111.14
45.63 112.3
47.53 111.09
49.43 111.67
51.33 111.98
53.23 110.23
55.13 110.79
57.03 112.56
58.94 112.19
60.84 112.63
62.74 112.85
64.64 110.83
66.54 110.55
68.44 111.51
70.34 111.74
72.24 111.12
74.15 111.35
76.05 111.09
77.95 110.84
79.85 110.76
81.75 111.41
83.65 112.18
85.55 112.07
87.45 112.52
89.35 111.87
91.26 111.25
93.16 110.52
95.06 109.07