XDCOOLBOY (xdcoolboy)

Race #1442

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Official speed 126.74 wpm (81.81 seconds elapsed during race)
Without ending ping 126.92 wpm (117 ms delay sending score to TypeRacer’s server)
Timerless 126.93 wpm (6 ms elapsed before first character typed; 81.68 seconds elapsed during race)
Timerless minus one 126.78 wpm, ignoring the first character typed
Race Start March 24, 2025 12:45:51pm UTC
Race Finish March 24, 2025 12:47:13pm UTC
Outcome No win (1 of 1)
Accuracy 97.1%
Points 342.19
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 undertsstand how a change in one quanitttity is related to a change in another. how dHow does the speed of a falling object change as a function of time? NoHow does the level of water in a barren chl change as a function of the amount of liqudid p9uoured into it? We see change occurring in nearly everything we observe in the world and universe, and pwoerfulpowerful modern instruments help us see more and more. In this sectino we on we instrudtroduce the ideas of average and instantaneous rates of change, and show that they are closely related to the slope of the curat t 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 willlead naturally to the main idea of this chapter, the mlimit. The idea of the a limit plays a foundational role throughout calcuulus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 6 133 83 132 201 134 100 86 64 33 52 97 17 101 83 66 116 119 82 49 100 50 50 103 47
Character e l p s u s u n d e r t s -s -t s t a n d h o
Milliseconds 84 66 68 115 52 66 49 84 84 150 48 116 67 168 232 216 89 79 34 53 80 66 83 23 48
Character w a c h a n g e i n o n e q u a n i t t
Milliseconds 63 51 67 98 87 66 97 52 64 68 32 71 163 135 116 52 162 184 101 98 84 66 70 99 149
Character -t -t -i t i t y i s r e l a t e d t o a c
Milliseconds 266 102 130 134 0 118 48 51 100 99 50 70 46 84 74 26 67 117 51 82 66 52 116 98 105
Character h a n g e i n a n o t h e r . h o w d -d -h
Milliseconds 63 67 51 64 67 33 84 33 52 81 38 62 68 85 15 49 103 63 186 98 84 68 148 233 118
Character -o -w - H o w d o e s t h e s p e e d o f
Milliseconds 0 0 0 214 117 70 97 83 67 51 100 34 82 67 32 84 37 80 67 132 135 31 51 66 67
Character a f a l l i n g o b j e c t c h a n g e a
Milliseconds 34 115 284 66 117 132 185 49 119 65 120 80 83 85 116 117 17 147 84 135 0 98 67 87 79
Character s a f u n c t i o n o f t i m e ? N o -o
Milliseconds 87 96 84 100 133 132 151 50 117 51 16 16 69 81 49 52 82 84 16 33 150 50 133 117 201
Character -N H o w d o e s t h e l e v e l o f w a
Milliseconds 282 166 136 130 36 164 51 85 81 50 68 49 67 50 86 64 116 51 70 96 50 70 80 66 83
Character t e r i n a b a r r e n c h -h -c - -n l c
Milliseconds 36 81 67 49 70 64 35 82 83 67 116 51 115 100 69 114 102 82 201 115 118 131 168 51 65
Character h a n g e a s a f u n c t i o n o f t h
Milliseconds 83 51 85 47 71 80 66 83 68 83 66 283 84 135 130 117 67 17 0 100 71 46 119 55 126
Character e a m o u n t o f l i q u d -d i d p 9 u -u
Milliseconds 99 85 82 83 67 84 136 133 96 84 100 105 199 113 100 117 182 417 165 100 50 84 50 66 417
Character -9 o u r e d i n t o i t ? W e s e e c h
Milliseconds 103 154 21 39 119 165 67 65 51 84 52 47 70 64 181 51 101 131 102 66 52 114 85 131 50
Character a n g e o c c u r r i n g i n n e a r l y
Milliseconds 117 16 51 83 16 51 99 121 63 99 117 70 33 80 50 51 33 66 266 51 35 31 52 82 33
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 68 99 100 51 83 115 50 51 82 34 88 31 34 114 51 215 117 51 33 167 81 68 84 49 35
Character t h e w o r l d a n d u n i v e r s e , a
Milliseconds 82 51 64 52 131 53 68 65 98 66 67 33 102 49 83 149 34 69 97 68 66 17 132 34 52
Character n d p w o e r f u l -p -w -o -e -r -f -u -l p o w e r f
Milliseconds 66 49 82 84 149 0 17 18 148 51 121 212 0 0 0 0 0 0 0 266 134 34 19 47 119
Character u l m o d e r n i n s t r u m e n t s h e l
Milliseconds 64 116 67 117 54 96 104 33 63 52 65 53 46 51 99 71 146 70 96 39 129 148 51 101 48
Character p u s s e e m o r e a n d m o r e . I
Milliseconds 101 66 50 99 101 66 50 133 88 63 53 63 37 63 269 98 51 65 22 78 51 16 100 67 116
Character n t h i s s e c t i n o w e -w -e - - -o -n o
Milliseconds 83 84 52 64 34 34 101 114 67 184 100 50 0 0 100 66 16 83 267 0 0 133 133 134 185
Character n w e i n s t r u d -d -u -r -t -s t r o d u c e
Milliseconds 0 67 15 16 100 136 0 396 21 131 115 83 268 132 133 152 431 153 114 50 158 29 113 149 84
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 69 47 89 28 34 101 133 83 20 66 65 431 54 47 99 85 49 99 67 66 67 83 35 50 67
Character i n s t a n t a n e o u s r a t e s o f c h
Milliseconds 81 50 50 52 115 117 37 263 119 147 100 66 100 85 82 167 66 36 115 0 82 84 34 132 66
Character a n g e , a n d s h o w t h a t t h e y
Milliseconds 200 50 133 84 83 36 81 50 53 80 116 67 34 50 99 51 101 67 33 100 65 85 81 55 62
Character a r e c l o s e l y r e l a t e d t o t h
Milliseconds 51 34 34 65 117 65 119 48 33 84 85 32 68 33 67 66 16 82 150 33 67 67 36 32 49
Character e s l o p e o f t h e c u r -c -u -r -t -h -e -
Milliseconds 35 81 66 68 150 32 117 19 66 48 100 35 68 50 80 100 67 67 217 0 0 117 0 0 0
Character a t t -t - -t c u r v e a t a p o i n t
Milliseconds 252 63 85 55 310 117 133 123 110 116 71 146 100 70 99 81 50 99 84 116 51 51 33 65 67
Character P o n t h e c u r v e . W e g i v e p
Milliseconds 183 135 99 49 50 71 50 80 35 114 67 51 132 118 34 35 149 147 267 116 66 70 81 34 51
Character r e c i s e d e v e l o p m e n t s o f t h
Milliseconds 66 33 132 85 82 50 69 100 131 116 67 51 115 51 148 87 65 32 86 49 65 67 67 67 82
Character e s e i m p o r t a n t c o n c e p t s i n
Milliseconds 18 148 0 69 65 66 69 132 21 130 99 51 51 164 53 98 19 31 152 63 51 86 64 66 39
Character t h e n e x t c h a p t e r , b u t f o
Milliseconds 61 34 67 67 49 66 50 133 133 85 100 85 64 101 49 69 48 51 50 98 36 99 65 84 49
Character r n o w w e u s e a n i n f o r m a l
Milliseconds 67 68 33 48 51 83 53 31 100 66 66 17 85 48 100 35 115 21 79 100 54 81 83 52 129
Character a p p r o a c h s o y o u w i l l s e e
Milliseconds 119 115 119 114 34 133 85 66 35 98 53 65 99 67 82 16 449 67 101 132 34 34 33 85 166
Character h o w t h e y w i l l -w -i -l -l l e a d n a t
Milliseconds 131 34 68 81 51 54 95 51 33 83 101 115 152 216 0 0 0 165 36 67 98 34 33 69 81
Character u r a l l y t o t h e m a i n i d e a o
Milliseconds 83 50 49 50 133 52 32 85 65 49 36 81 37 82 33 83 50 32 84 66 54 145 67 38 62
Character f t h i s c h a p t e r , t h e m -m l i m
Milliseconds 67 100 20 130 33 66 83 67 53 80 70 66 65 66 40 43 84 34 66 51 65 284 166 66 84
Character i t . T h e i d e a o f t h e -t -h -e - a
Milliseconds 68 168 367 116 50 97 51 66 49 68 100 66 66 50 83 67 54 47 85 64 302 0 0 0 230
Character l i m i t p l a y s a f o u n d a t i o n
Milliseconds 51 70 97 49 102 82 84 52 191 22 67 101 84 83 132 66 101 33 149 67 67 49 84 0 16
Character a l r o l e t h r o u g h o u t c a l c u u
Milliseconds 127 42 84 65 117 133 99 66 71 82 97 17 67 100 50 34 85 81 66 103 80 36 147 87 331
Character -u l u s .
Milliseconds 366 149 33 69 66
WPM Timing
Seconds WPM
1.64 132.02
3.27 139.36
4.91 132.02
6.54 124.69
8.18 120.29
9.82 130.8
11.45 119.45
13.09 122.85
14.72 123.06
16.36 125.42
18 120.69
19.63 124.69
21.27 121.3
22.91 121.02
24.54 122.24
26.18 118.73
27.81 116.92
29.45 118.57
31.09 120.83
32.72 122.49
34.36 124.34
35.99 122.02
37.63 123.73
39.27 124.99
40.9 126.15
42.54 123.84
44.17 119.8
45.81 119.19
47.45 119.88
49.08 119.8
50.72 121.14
52.36 122.85
53.99 124.46
55.63 121.02
57.26 121.33
58.9 121.63
60.54 122.11
62.17 123.14
63.81 124.5
65.44 125.6
67.08 126.3
68.72 126.26
70.35 125.88
71.99 127.02
73.62 128.11
75.26 127.24
76.9 126.71
78.53 126.98
80.17 127.83
81.81 126.74