(charlieog)

Race #237682

View Pit Stop page for race #237682 by charlieog — Ghost race

View profile for (charlieog)

Official speed 144.92 wpm (71.54 seconds elapsed during race)
Without ending ping 145.08 wpm (81 ms delay sending score to TypeRacer’s server)
Timerless 145.54 wpm (223 ms elapsed before first character typed; 71.24 seconds elapsed during race)
Timerless minus one 145.37 wpm, ignoring the first character typed
Race Start October 28, 2022 5:09:29pm UTC
Race Finish October 28, 2022 5:10:41pm UTC
Outcome Win (1 of 2)
Accuracy 98.7%
Points 391.28
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 ca change in another. How does the speed of a falling object change as a funcgtion of unction 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 poweful moowerful 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 htey are hey are closely related to the slope of a curve at a point P on the curve. We give precise developments of tehse ihese important concepts in the next chapter, but for no;w w we use an informal approcha ach so you will see how they leaadd naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundtaational 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 223 8 415 158 123 136 119 121 80 47 64 57 80 55 96 40 105 207 39 339 126 16 80 80 48
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 513 48 39 89 64 64 23 105 40 135 57 144 14 114 58 69 105 55 73 39 15 41 58 71 63
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 48 73 57 62 57 23 40 49 46 66 90 37 72 48 96 64 120 40 208 89 87 48 49 55 48
Character r e l a t e d t o c -c a c h a n g e i n
Milliseconds 48 97 39 41 80 40 40 103 72 65 55 41 183 297 32 95 64 57 63 64 32 23 57 41 38
Character a n o t h e r . H o w d o e s t h e s p
Milliseconds 73 49 63 73 79 32 73 32 39 40 147 125 81 135 49 136 6 17 256 209 39 64 73 72 104
Character e e d o f a f a l l i n g o b j e c t c
Milliseconds 55 113 136 63 31 65 64 64 104 88 48 40 106 161 45 32 58 46 57 96 55 104 176 58 102
Character h a n g e a s a f u n c g t i o n o f -u
Milliseconds 65 23 88 56 25 87 16 80 65 55 88 112 41 320 111 153 8 39 34 46 16 32 104 57 519
Character -n -c -g -t -i -o -n - -o -f - u n c t i o n o f t i m
Milliseconds 0 0 0 0 0 0 0 0 0 0 0 88 128 48 161 31 32 40 41 62 137 32 124 27 33
Character e ? H o w d o e s t h e l e v e l o f
Milliseconds 57 176 40 143 81 71 112 56 72 72 32 81 63 32 48 40 65 55 440 56 80 39 121 72 112
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 47 32 57 112 17 54 34 30 66 46 65 103 80 99 141 65 39 41 65 63 31 89 31 49 120
Character a s a f u n c t i o n o f t h e a m o u
Milliseconds 95 145 88 87 72 88 48 130 71 177 55 15 24 81 47 66 64 78 17 32 55 64 48 137 56
Character n t o f l i q u i d p o u r e d i n t o
Milliseconds 128 63 40 33 71 56 24 97 160 88 65 95 40 48 192 55 43 29 97 31 32 40 81 47 56
Character i t ? W e s e e c h a n g e o c c u r r i
Milliseconds 65 88 160 44 108 319 136 72 25 122 29 120 32 56 72 49 32 42 86 103 138 78 104 121 63
Character n g i n n e a r l y e v e r y t h i n g w
Milliseconds 48 32 56 57 39 57 74 86 25 22 40 49 40 55 129 128 31 80 80 88 104 17 49 62 48
Character e o b s e r v e i n t h e w o r l d a n
Milliseconds 50 70 65 95 154 46 49 199 41 63 57 31 74 71 47 17 56 64 24 24 88 55 113 25 94
Character d u n i v e r s e , a n d p o w e f u l m
Milliseconds 64 73 72 119 65 48 168 48 71 57 87 33 31 72 33 56 48 136 56 24 127 73 24 25 150
Character o -o -w -e -f -u -l - -m -o o w e r f u l m o d e r n
Milliseconds 65 287 0 0 0 0 0 0 0 0 184 64 33 24 129 54 49 127 176 66 62 144 9 55 25
Character i n s t r u m e n t s h e l p u s s e e m
Milliseconds 223 49 47 80 113 63 130 62 72 40 41 81 23 127 41 23 57 55 104 57 97 70 113 39 25
Character o r e a n d m o r e . I n t h i s s e c
Milliseconds 81 22 17 48 55 33 72 16 56 23 72 16 81 24 129 118 50 79 65 15 16 73 54 32 136
Character t i o n w e i n t r o d u c e t h e i d e
Milliseconds 176 57 24 24 63 41 23 41 104 48 89 111 95 73 119 81 32 71 113 16 63 169 80 103 112
Character a s o f a v e r a g e a n d i n s t a n t
Milliseconds 24 96 65 47 88 80 72 112 145 23 72 97 24 72 15 129 24 248 127 41 40 72 81 86 80
Character a n e o u s r a t e s o f c h a n g e , a
Milliseconds 186 119 95 98 56 30 64 73 47 113 31 48 50 22 73 55 265 79 34 95 40 39 89 31 56
Character n d s h o w t h a t h t e y a r e -h -e -y
Milliseconds 67 53 72 32 97 39 57 48 79 24 66 63 16 111 9 80 72 39 43 37 25 39 433 0 0
Character - -a -r -e - h e y a r e c l o s e l y r e l a
Milliseconds 0 0 0 0 0 48 32 200 56 63 49 24 31 120 56 113 41 39 72 65 38 49 31 57 64
Character t e d t o t h e s l o p e o f a c u r
Milliseconds 23 32 106 63 96 39 40 64 57 41 38 80 73 127 24 105 104 48 95 169 47 97 72 111 64
Character v e a t a p o i n t P o n t h e c u
Milliseconds 136 33 63 50 103 40 65 94 96 497 47 33 39 72 131 70 152 56 48 71 65 32 39 104 72
Character r v e . W e g i v e p r e c i s e d e v e
Milliseconds 97 143 40 57 24 120 168 80 64 95 72 33 24 40 111 16 137 112 40 57 57 102 184 112 39
Character l o p m e n t s o f t e h s e i -e -h -s -e - -i
Milliseconds 58 168 22 130 119 71 64 72 40 40 73 71 96 24 9 71 97 88 47 353 0 0 0 0 0
Character h e s e i m p o r t a n t c o n c e p t s i
Milliseconds 40 24 87 57 48 47 73 48 64 56 143 49 57 54 80 97 15 56 137 48 66 133 66 63 32
Character n t h e n e x t c h a p t e r , b u t f
Milliseconds 39 89 73 54 72 32 61 59 128 113 56 104 63 32 145 81 95 39 40 48 96 34 120 71 79
Character o r n o ; w - -w -; w w e u s e a n i n
Milliseconds 66 79 57 105 103 8 95 105 297 127 103 88 80 96 55 41 192 87 33 111 32 130 40 127 63
Character f o r m a l a p p r o c h a - -a -h -c a c h s
Milliseconds 32 96 113 112 64 89 87 80 71 121 103 98 94 89 8 40 279 104 121 112 56 104 71 88 105
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 71 48 129 104 31 48 113 48 15 88 48 32 50 95 24 39 24 57 40 71 33 80 64 23 72
Character e a a d -d -a d n a t u r a l l y t o t h e
Milliseconds 88 32 176 120 242 94 80 77 51 24 82 62 57 32 56 111 40 25 88 49 39 104 24 72 24
Character m a i n i d e a o f t h i s c h a p t e r
Milliseconds 63 97 48 40 55 73 55 120 25 153 64 86 64 81 8 32 49 31 159 64 48 105 91 92 48
Character , t h e l i m i t . T h e i d e a o f
Milliseconds 32 51 63 31 41 31 56 55 128 136 104 56 40 89 63 48 34 54 56 115 30 71 40 56 65
Character a l i m i t p l a y s a f o u n d t a -a -t
Milliseconds 33 102 33 72 120 137 70 72 40 129 224 80 104 47 225 144 135 96 34 127 56 145 231 263 89
Character a t i o n a l r o l e t h r o u g h o u t c
Milliseconds 79 64 72 33 16 39 122 79 63 57 104 39 80 48 40 113 47 50 63 73 110 41 48 55 137
Character a l c u l u s .
Milliseconds 40 200 120 112 192 120 103 41
WPM Timing
Seconds WPM
1.43 83.87
2.86 100.64
4.29 106.23
5.72 132.09
7.15 139.22
8.59 141.17
10.02 140.18
11.45 142.57
12.88 145.37
14.31 134.19
15.74 133.42
17.17 134.19
18.6 136.12
20.03 137.78
21.46 139.78
22.89 142.05
24.32 141.59
25.76 143.5
27.19 144.78
28.62 147.18
30.05 146.17
31.48 143.33
32.91 144.03
34.34 147.11
35.77 148.61
37.2 148.38
38.63 148.47
40.06 148.86
41.49 150.09
42.93 147.6
44.36 149.61
45.79 149.39
47.22 148.16
48.65 148.74
50.08 148.32
51.51 147
52.94 147.56
54.37 148.31
55.8 146.87
57.23 146.35
58.67 145.03
60.1 144.37
61.53 144.52
62.96 145.24
64.39 145.93
65.82 146.77
67.25 146.68
68.68 145.19
70.11 145.48
71.54 144.92