Jp (gamr_jph)

Race #904

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Official speed 123.07 wpm (84.24 seconds elapsed during race)
Without ending ping 123.33 wpm (176 ms delay sending score to TypeRacer’s server)
Timerless 123.96 wpm (429 ms elapsed before first character typed; 83.64 seconds elapsed during race)
Timerless minus one 123.82 wpm, ignoring the first character typed
Race Start December 23, 2023 4:31:14am UTC
Race Finish December 23, 2023 4:32:38am UTC
Outcome No win (2 of 2)
Opponents 1. urchinonquit (133.30 wpm)
Accuracy 98.4%
Points 332.28
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 change in one quantity is related to a change in another. hHow 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 evertything we observe in the world and universe, and poweful rful modern instruments help us see more and more. iIn this section we intorductroduce the ideas of average and instantenoanoeous orrates of change, and hsow thshow that they are closely related to the solope of ac ur curve at a point P on the scurve. 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.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 429 267 59 107 96 80 116 53 49 66 68 63 122 121 190 103 115 161 78 64 57 46 48 90 60
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 198 137 61 56 21 131 96 38 148 80 32 166 48 154 72 88 56 68 50 96 38 39 57 100 69
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 130 29 155 183 77 53 70 30 90 89 57 72 22 104 129 55 137 113 110 64 96 162 48 56 75
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 83 88 56 80 104 23 70 138 66 95 48 73 46 114 94 89 112 64 96 57 28 81 50 63 59
Character n o t h e r . h -h H o w d o e s t h e s p
Milliseconds 64 40 95 64 95 56 98 56 254 354 248 175 87 132 119 55 95 37 90 41 55 22 76 56 60
Character e e d o f a f a l l i n g o b j e c t c
Milliseconds 99 127 129 61 84 47 105 32 120 61 90 121 142 88 11 27 47 116 89 56 86 62 187 63 110
Character h a n g e a s a f u n c t i o n o f t i
Milliseconds 51 135 56 89 46 51 112 29 47 98 61 84 98 63 64 198 37 33 66 40 88 16 98 77 67
Character m e ? H o w d o e s t h e l e v e l o f
Milliseconds 55 63 186 112 154 134 77 121 56 114 44 77 102 36 43 37 73 132 120 134 64 40 64 98 22
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 71 153 120 57 69 60 45 75 45 70 72 73 64 132 112 135 55 80 50 128 76 99 88 64 52
Character a s a f u n c t i o n o f t h e a m o
Milliseconds 40 134 43 59 98 67 64 106 56 72 184 9 69 44 60 93 35 91 97 14 90 69 209 77 84
Character u n t o f l i q u i d p o u r e d i n t o
Milliseconds 95 151 49 38 31 96 51 121 37 106 88 70 100 103 191 314 62 184 80 154 37 59 68 89 73
Character i t ? W e s e e c h a n g e o c c u r r
Milliseconds 37 132 105 166 112 80 162 135 62 61 134 44 146 48 139 39 96 31 29 154 104 137 183 145 111
Character i n g i n n e a r l y e v e r t -t y t h i n
Milliseconds 57 70 67 15 65 67 51 45 83 493 10 162 128 76 107 95 79 64 305 520 155 136 36 73 105
Character g w e o b s e r v e i n t h e w o r l d
Milliseconds 18 30 96 46 64 115 86 177 66 36 163 25 67 61 67 97 51 72 17 63 57 60 58 95 30
Character a n d u n i v e r s e , a n d p o w e f u
Milliseconds 59 113 69 60 62 96 95 73 89 45 123 87 56 103 38 32 101 11 85 28 45 68 50 168 57
Character l - -l -u -f r f u l m o d e r n i n s t r u m
Milliseconds 80 69 313 155 107 668 88 168 95 38 113 170 28 60 151 14 99 56 64 77 106 88 129 81 143
Character e n t s h e l p u s s e e m o r e a n d
Milliseconds 64 103 37 59 30 147 113 119 67 92 65 104 68 151 41 172 95 62 51 37 52 43 64 25 48
Character m o r e . i -i I n t h i s s e c t i o n
Milliseconds 42 104 37 84 60 100 56 488 311 185 168 85 122 30 41 58 72 120 15 161 208 37 31 41 75
Character w e i n t o r d u c -c -u -d -r -o -t t r o d u c e
Milliseconds 31 57 96 200 63 87 154 13 99 145 111 200 247 130 135 143 185 563 157 96 95 137 84 47 77
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 80 23 48 48 89 37 163 87 69 84 26 86 87 77 107 103 89 91 103 44 59 38 82 104 60
Character i n s t a n t e n o -o -n -e a n o -o e o u s o r -r
Milliseconds 117 76 107 232 112 117 115 56 184 104 291 134 132 515 175 97 368 120 94 49 89 96 119 78 235
Character -o r a t e s o f c h a n g e , a n d h s o
Milliseconds 151 128 81 136 48 49 63 30 50 83 91 70 92 79 69 59 56 62 57 71 91 35 107 12 45
Character w t h -h -h -s -o -w - -t s h o w t h a t t h e y
Milliseconds 132 100 71 58 465 374 0 0 0 0 0 497 80 23 70 50 105 64 48 60 59 88 78 63 100
Character a r e c l o s e l y r e l a t e d t o t
Milliseconds 64 55 65 36 52 120 72 112 72 21 90 113 28 156 36 73 91 68 72 117 70 65 56 79 37
Character h e s o -o l o p e o f a c u r -r -u - -c c
Milliseconds 59 22 71 52 135 408 209 136 68 26 81 73 28 92 14 146 12 148 68 340 152 120 136 136 185
Character u r v e a t a p o i n t P o n t h e
Milliseconds 119 87 186 26 108 77 146 27 423 68 52 80 177 52 32 90 130 248 56 88 80 52 57 14 90
Character s -s c u r v e . W e g i v e p r e c i s e
Milliseconds 79 268 95 142 70 192 17 202 56 149 147 160 185 117 76 20 64 51 88 61 154 105 65 28 64
Character d e v e l o p m e n t s o f t h e s e i m p
Milliseconds 113 145 47 58 69 148 70 119 65 106 47 69 27 30 90 69 123 144 79 129 86 50 62 89 63
Character o r t a n t c o n c e p t s i n t h e n e
Milliseconds 78 27 153 69 40 39 67 127 46 78 94 29 51 135 61 50 38 74 78 66 58 34 74 74 18
Character x t c h a p t e r , b u t f o r n o w w
Milliseconds 208 56 68 136 64 116 112 76 106 57 77 66 64 84 67 75 90 116 96 56 62 72 42 110 90
Character e u s e a n i n f o r m a l a p p r o a c
Milliseconds 46 90 98 96 45 59 63 96 61 58 66 61 91 75 51 136 71 72 72 71 148 60 72 92 72
Character h s o y o u w i l l s e e h o w t h e
Milliseconds 96 29 97 15 95 180 45 51 61 72 81 80 138 88 86 22 146 56 91 22 65 77 265 130 28
Character y l e a d n a t u r a l l y t o t h e m
Milliseconds 108 20 114 57 55 97 55 91 63 56 77 80 39 72 156 36 59 103 30 92 46 49 57 52 140
Character a i n i d e a o f t h i s c h a p t e r ,
Milliseconds 101 64 92 55 62 72 176 30 51 47 97 90 152 17 26 114 18 148 90 106 88 97 118 29 51
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 85 85 64 56 68 49 70 130 30 84 121 54 79 103 67 64 64 63 133 75 19 75 41 80 22
Character l i m i t p l a y s a f o u n d a t i o n
Milliseconds 111 109 64 150 49 55 69 81 52 96 56 135 44 91 79 96 67 59 173 46 48 106 48 48 21
Character a l r o l e t h r o u g h o u t c a l c u l
Milliseconds 83 110 19 93 72 130 45 74 57 48 110 30 63 91 106 136 83 64 75 122 36 53 110 63 88
Character u s .
Milliseconds 65 103 69
WPM Timing
Seconds WPM
1.68 92.59
3.37 110.39
5.05 123.45
6.74 126.42
8.42 131.05
10.11 128.2
11.79 128.2
13.48 130.87
15.16 134.53
16.85 134.61
18.53 136.62
20.22 137.1
21.9 138.06
23.59 135.83
25.27 135.32
26.96 135.32
28.64 132.39
30.33 130.18
32.01 132.7
33.7 131.4
35.38 127.86
37.07 128.2
38.75 130.06
40.44 127.6
42.12 125.63
43.81 121.35
45.49 122.39
47.18 122.35
48.86 118.62
50.55 116.57
52.23 116.94
53.92 114.62
55.6 116.33
57.29 115.84
58.97 114.16
60.66 113.76
62.34 113.57
64.03 113.58
65.71 114.5
67.4 115.56
69.08 116.39
70.77 117.35
72.45 118.26
74.14 118.65
75.82 119.65
77.51 120.46
79.19 121.08
80.87 121.97
82.56 122.82
84.24 123.07