Dylan (dr_gammaray)

Race #23162

View Pit Stop page for race #23162 by dr_gammaray — Ghost race

View profile for Dylan (dr_gammaray)

Official speed 133.10 wpm (77.90 seconds elapsed during race)
Without ending ping 133.56 wpm (267 ms delay sending score to TypeRacer’s server)
Timerless 134.85 wpm (745 ms elapsed before first character typed; 76.88 seconds elapsed during race)
Timerless minus one 134.70 wpm, ignoring the first character typed
Race Start May 5, 2024 11:01:15pm UTC
Race Finish May 5, 2024 11:02:33pm UTC
Outcome Win (1 of 3)
Accuracy 99.0%
Points 359.38
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 undersetand htand how a chance in onge 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 ontinto it? We see change occuring in ring in nearly everything we observe in the world and universe, and powerful modern instruments helpus s 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 informatiol l 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 calcululs.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 745 145 103 113 223 144 90 139 59 60 51 73 65 92 71 70 111 144 74 71 88 73 20 33 48
Character e l p s u s u n d e r s e t a n d h -h - -d -n
Milliseconds 82 69 107 88 49 63 127 30 203 161 79 128 49 110 67 0 85 54 66 70 48 266 159 169 157
Character -a -t -e t a n d h o w a c h a n c e i n o
Milliseconds 131 137 126 86 75 65 70 73 53 43 60 67 88 80 74 76 66 91 52 55 25 51 44 92 52
Character n -o -n -i -n - - -e -c g e i n o n e q u a n t i
Milliseconds 46 220 0 144 0 0 176 160 151 177 38 129 96 57 79 73 48 72 87 169 93 89 119 73 97
Character t y i s r e l a t e d t o a c h a n g e
Milliseconds 53 98 49 80 55 71 55 59 94 73 73 71 142 48 91 55 169 88 86 65 86 90 88 64 38
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 73 73 64 80 45 82 53 51 104 56 45 56 81 108 94 73 89 71 87 65 68 108 95 73 62
Character s p e e d o f a f a l l i n g o b j e c
Milliseconds 47 89 98 71 87 168 87 46 66 80 121 230 83 72 96 111 77 43 45 66 65 63 94 40 82
Character t c h a n g e a s a f u n c t i o n o f
Milliseconds 144 81 119 54 98 88 72 45 91 77 82 72 79 106 45 90 154 52 138 58 21 31 65 73 30
Character t i m e ? H o w d o e s t h e l e v e l
Milliseconds 96 50 88 47 50 142 81 136 112 72 121 77 98 46 49 54 84 64 63 44 84 19 149 29 107
Character o f w a t e r i n a b a r r e l c h a
Milliseconds 80 72 48 89 109 106 72 129 46 38 58 55 74 36 104 92 112 69 105 73 127 64 54 90 87
Character n g e a s a f u n c t i o n o f t h e
Milliseconds 82 62 44 68 73 73 64 86 121 64 96 153 53 138 53 33 47 51 71 15 113 80 88 55 39
Character a m o u n t o f l i q u i d p o u r e d o
Milliseconds 113 42 126 97 168 38 31 75 55 72 55 65 90 88 72 95 57 52 156 64 89 149 137 46 51
Character n t -o -n -t i n t o i t ? W e s e e c h a n
Milliseconds 71 79 393 0 0 206 46 106 74 111 80 88 152 49 111 200 81 87 53 99 87 289 110 73 105
Character g e o c c u r i n g i n -i -n - - -g -n -i r i n
Milliseconds 54 46 39 67 94 129 71 108 111 54 73 40 53 40 92 246 0 0 154 143 145 152 173 138 45
Character g i n n e a r l y e v e r y t h i n g w e
Milliseconds 99 24 52 91 64 64 88 57 45 64 59 72 20 108 116 49 58 103 66 64 71 30 82 73 45
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 83 64 62 136 46 38 156 56 71 38 58 62 16 131 24 96 45 115 29 131 54 129 73 103 46
Character u n i v e r s e , a n d p o w e r f u l m
Milliseconds 48 83 151 49 47 134 57 102 69 44 47 75 64 88 29 67 144 38 48 31 148 37 122 87 57
Character o d e r n i n s t r u m e n t s h e l p u s
Milliseconds 53 75 129 23 72 29 40 92 44 73 147 72 159 46 145 7 58 81 72 86 81 154 470 110 81
Character s -s - -s -u u s s e e m o r e a n d m o r
Milliseconds 113 167 133 152 394 208 95 89 95 81 96 127 248 72 80 45 40 76 71 63 63 48 47 60 29
Character e . I n t h i s s e c t i o n w e i n t
Milliseconds 40 107 64 135 45 91 24 111 14 59 80 53 99 151 185 96 37 49 39 79 57 82 64 47 50
Character r o d u c e t h e i d e a s o f a v e r a
Milliseconds 145 71 92 100 57 43 68 97 62 65 63 326 66 135 74 87 28 57 81 114 71 103 122 38 122
Character g e a n d i n s t a n t a n e o u s r a t e
Milliseconds 71 37 83 54 122 45 67 47 70 34 55 106 111 89 143 152 79 105 57 68 92 48 86 97 73
Character s o f c h a n g e , a n d s h o w t h a
Milliseconds 53 32 55 90 72 103 55 112 92 48 38 128 81 81 64 88 30 153 104 64 69 106 81 104 64
Character t t h e y a r e c l o s e l y r e l a t e
Milliseconds 36 67 73 79 80 88 30 55 67 52 93 52 106 137 61 48 92 78 73 45 66 87 71 40 82
Character d t o t h e s l o p e o f a c u r v e
Milliseconds 133 74 89 48 87 46 122 38 55 68 72 135 160 112 62 66 38 99 55 110 67 117 58 160 47
Character a t a p o i n t P o n t h e c u r v
Milliseconds 89 62 41 96 54 107 94 150 57 43 48 45 291 162 94 88 60 32 115 30 74 87 89 80 160
Character e . W e g i v e p r e c i s e d e v e l o
Milliseconds 37 71 65 107 150 89 65 95 64 37 39 61 88 96 104 86 39 66 53 91 145 63 93 24 129
Character p m e n t s o f t h e s e i m p o r t a n t
Milliseconds 130 73 78 114 12 91 29 66 95 49 87 38 74 80 90 71 21 75 29 147 45 107 127 88 90
Character c o n c e p t s i n t h e n e x t c h a
Milliseconds 92 92 62 62 24 57 87 83 64 65 44 68 64 44 90 55 37 78 28 115 128 87 95 66 56
Character p t e r , b u t f o r n o w w e u s e
Milliseconds 116 66 126 39 52 63 97 80 93 32 131 80 64 48 37 68 28 83 96 45 73 96 94 59 45
Character a n i n f o r m a t i o -o -i l - -l -t l a p p
Milliseconds 75 88 71 46 68 69 73 71 72 74 55 45 27 337 116 250 104 200 138 111 198 69 37 79 112
Character r o a c h s o y o u w i l l s e e h o w
Milliseconds 80 87 65 45 75 45 69 87 70 58 63 64 57 36 76 127 122 101 74 45 105 59 46 55 30
Character t h e y l e a d n a t u r a l l y t o t
Milliseconds 74 73 61 82 55 46 67 56 70 99 52 67 96 72 64 96 57 53 106 104 80 71 54 91 23
Character h e m a i n i d e a o f t h i s c h a p
Milliseconds 82 63 45 48 91 82 43 66 75 21 136 69 116 127 96 46 98 47 47 39 82 66 79 113 95
Character t e r , t h e l i m i t . T h e i d e a
Milliseconds 64 119 41 79 47 41 96 57 37 43 73 110 38 115 89 78 72 88 71 73 54 59 136 45 38
Character o f a l i m i t p l a y s a f o u n d a
Milliseconds 75 63 65 47 113 249 113 111 80 36 85 37 154 46 96 59 37 86 49 130 65 53 161 18 94
Character t i o n a l r o l e t h r o u g h o u t c a
Milliseconds 62 56 31 49 42 97 89 21 104 137 54 98 65 80 72 79 57 46 122 65 94 95 73 111 256
Character l c u l u l -l s .
Milliseconds 121 72 80 111 88 71 385 151 138
WPM Timing
Seconds WPM
1.56 46.22
3.12 103.98
4.67 100.13
6.23 86.65
7.79 83.19
9.35 86.01
10.91 94.63
12.46 103.98
14.02 107.84
15.58 111.69
17.14 114.14
18.7 117.46
20.25 120.87
21.81 123.79
23.37 125.81
24.93 127.57
26.48 124.15
28.04 123.24
29.6 120.4
31.16 120.16
32.72 122.14
34.27 123.94
35.83 125.92
37.39 127.09
38.95 122.32
40.51 121.46
42.06 122.96
43.62 124.62
45.18 124.57
46.74 125.29
48.3 126.47
49.85 127.57
51.41 128.38
52.97 128.68
54.53 128.74
56.09 129.45
57.64 130.11
59.2 130.74
60.76 131.73
62.32 132.68
63.87 131.88
65.43 130.39
66.99 131.48
68.55 132.17
70.11 133
71.66 133.62
73.22 133.89
74.78 134.47
76.34 134.56
77.9 133.1