catfree (catfree)

Race #2239

View Pit Stop page for race #2239 by catfree — Ghost race

View profile for catfree (catfree)

Official speed 116.44 wpm (89.04 seconds elapsed during race)
Without ending ping 116.65 wpm (163 ms delay sending score to TypeRacer’s server)
Timerless 117.04 wpm (292 ms elapsed before first character typed; 88.59 seconds elapsed during race)
Timerless minus one 116.90 wpm, ignoring the first character typed
Race Start January 30, 2024 4:22:02pm UTC
Race Finish January 30, 2024 4:23:31pm UTC
Outcome Win (1 of 4)
Accuracy 97.9%
Points 314.38
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 Calculousus is a tool that helps us understand how a change in one quanityititity is related to a change in annotother. How does the speed of a falling object change as a function of time? Hwoow does the ,elevel of water in a barrel change as a function of the amount of liquid poured into it? We see change occuring ccuring ring 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 instanteaneous rates of change, and show that they are closely relataeed to the sclope of a curve at a point P on the curve. We give precise developments of these important conecepts in the next chatapter, but for now we use an infroormal approach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays ona foundational role through calcout calculous.us.
Timing
Character C a l c u l o u s -s -u -o u s i s a t o o l
Milliseconds 292 108 279 198 170 173 107 122 78 201 109 139 77 63 63 62 78 78 31 107 63 32 124 31 77
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 46 109 47 47 79 81 94 61 61 46 93 92 61 92 186 46 0 92 94 103 77 62 63 92 108
Character h o w a c h a n g e i n o n e q u a n i
Milliseconds 72 78 63 93 62 91 62 168 109 78 62 47 67 78 77 47 125 79 46 96 64 94 93 93 123
Character t y i -i -y -t t i -i -t -i t i t y i s r e l a t e
Milliseconds 47 154 124 108 151 125 108 122 116 155 140 62 116 62 153 96 77 99 47 123 63 47 94 30 118
Character d t o a c h a n g e i n a n n o t -t -o -n
Milliseconds 79 77 108 77 60 47 118 94 93 63 122 83 63 62 109 61 46 109 40 92 62 94 191 126 126
Character o t h e r . H o w d o e s t h e s p e e d
Milliseconds 78 62 128 126 46 62 94 128 96 47 93 31 93 61 47 77 72 92 94 79 62 92 66 139 46
Character o f a f a l l i n g o b j e c t c h a n
Milliseconds 62 62 63 109 21 169 46 61 62 109 117 33 60 63 48 76 108 55 47 170 109 62 94 36 140
Character g e a s a f u n c t i o n o f t i m e ?
Milliseconds 77 63 96 64 80 77 64 108 93 149 46 76 170 77 61 32 134 32 109 78 77 78 37 46 156
Character H w o -o -w o w d o e s t h e , e -e -, l e v
Milliseconds 110 94 160 46 233 108 68 46 78 31 110 64 32 78 82 61 79 124 114 48 280 109 237 109 110
Character e l o f w a t e r i n a b a r r e l c
Milliseconds 46 93 31 163 110 79 77 77 70 124 45 63 63 48 92 86 125 154 123 69 123 63 79 93 46
Character h a n g e a s a f u n c t i o n o f t h
Milliseconds 101 31 123 31 61 107 46 75 92 46 78 123 125 43 62 155 77 33 60 92 40 92 124 46 108
Character e a m o u n t o f l i q u i d p o u r e d
Milliseconds 62 88 63 29 93 171 48 47 66 45 126 93 14 141 111 76 78 142 96 64 78 203 93 115 63
Character i n t o i t ? W e s e e c h a n g e o
Milliseconds 61 60 47 47 107 61 109 62 155 125 62 180 93 91 122 150 93 79 123 45 402 139 54 108 506
Character c c u r i n g -c -c -u -r -i -n -g - c c u r i n g -
Milliseconds 124 155 148 77 109 62 63 97 676 0 0 0 0 0 0 0 77 123 171 135 203 64 61 113 265
Character -g -n -i r i n g i n n e a r l y e v e r y t h
Milliseconds 123 131 138 62 93 47 47 74 62 203 170 240 78 31 16 140 54 109 124 95 62 62 145 139 141
Character i n g w e o b s e r v e i n t h e w o r
Milliseconds 94 54 30 93 92 96 205 154 92 156 147 62 158 64 80 46 50 77 47 78 91 94 108 76 124
Character l d a n d u n i v e r s e , a n d p o w e
Milliseconds 109 144 97 61 93 77 93 135 47 107 157 129 94 76 61 109 77 45 78 77 61 62 61 63 46
Character r f u l m o d e r n i n s t r u m e n t s h
Milliseconds 61 105 62 154 96 61 46 47 116 62 93 123 93 59 77 78 140 62 109 87 77 78 77 63 62
Character e l p u s s e e m o r e a n d m o r e .
Milliseconds 115 63 61 77 93 62 78 100 77 139 92 62 61 42 31 92 31 77 93 62 62 43 46 46 76
Character I n t h i s s e c t i o n w e i n t r o
Milliseconds 94 108 77 104 77 142 78 48 93 51 202 125 176 76 31 46 110 108 99 61 141 49 76 172 94
Character d u c e t h e i d e a s o f a v e r a g e
Milliseconds 91 94 79 61 100 61 63 77 94 32 92 46 57 153 93 200 90 93 63 141 123 70 62 109 63
Character a n d i n s t a n t e -e a n e o u s r a t e
Milliseconds 79 46 115 62 62 62 62 46 111 175 154 124 149 264 96 79 98 108 124 95 93 51 63 106 47
Character s o f c h a n g e , a n d s h o w t h a
Milliseconds 124 63 117 47 107 47 123 61 107 78 31 124 76 32 108 88 77 31 140 108 30 87 45 93 15
Character t t h e y a r e c l o s e l y r e l a t a
Milliseconds 77 62 77 95 72 91 108 79 93 76 72 63 76 62 16 140 102 77 122 47 32 77 76 16 88
Character e -e -a e d t o t h e s c -c l o p e o f a
Milliseconds 32 279 128 111 62 31 109 80 63 190 109 62 62 62 78 287 175 155 47 62 64 45 94 61 66
Character c u r v e a t a p o i n t P o n t h
Milliseconds 110 46 279 51 155 62 94 63 93 83 47 124 63 30 169 42 16 109 123 93 93 71 125 78 62
Character e c u r v e . W e g i v e p r e c i s e
Milliseconds 62 212 77 92 125 162 60 93 79 93 182 62 140 94 80 47 63 65 78 47 170 124 89 62 77
Character d e v e l o p m e n t s o f t h e s e i m p
Milliseconds 93 61 138 39 93 108 31 157 46 115 47 92 110 96 78 95 62 92 62 77 94 87 46 32 155
Character o r t a n t c o n e -e c e p t s i n t h e
Milliseconds 63 15 146 77 62 78 207 111 77 63 295 402 93 52 77 124 95 77 92 73 76 47 108 63 78
Character n e x t c h a t a -a -t p t e r , b u t f o r
Milliseconds 77 23 156 171 78 160 156 141 123 50 235 145 385 78 128 63 92 78 93 108 86 93 46 92 78
Character n o w w e u s e a n i n f r o -o -r o r m
Milliseconds 61 63 46 90 109 94 46 94 62 52 63 93 77 109 92 89 46 47 187 64 237 138 45 63 108
Character a l a p p r o a c h s o y o u w i l l s
Milliseconds 73 94 78 45 78 125 69 108 91 63 170 104 63 62 108 94 61 69 76 78 31 140 129 63 31
Character e e h o w t h e y l e a d n a t u r a l l
Milliseconds 61 124 94 108 101 46 78 45 79 80 48 77 52 77 46 47 107 17 61 92 57 109 16 77 110
Character y t o t h e m a i n i d e a o f t h i
Milliseconds 16 94 51 77 93 31 94 125 63 69 124 62 126 122 23 124 76 32 78 93 77 105 63 122 110
Character s c h a p t e r , t h e l i m i t . T h e
Milliseconds 62 69 78 155 92 78 77 130 47 94 47 80 175 109 92 31 145 61 110 77 110 96 92 155 111
Character i d e a o f a l i m i t p l a y s o n
Milliseconds 98 96 62 56 47 62 93 79 80 31 127 32 140 63 124 99 78 62 45 46 92 307 123 128 93
Character -n -o a f o u n d a t i o n a l r o l e t h r
Milliseconds 318 139 64 85 47 122 159 45 30 51 109 92 49 45 240 108 107 171 87 110 93 77 47 140 160
Character o u g h c a l c -c -l -a -c - o u t c a l c u l o
Milliseconds 94 47 31 63 108 84 63 45 125 185 133 125 139 148 124 77 78 78 162 45 78 92 126 178 93
Character u s . -. -s -u -o u s .
Milliseconds 123 94 107 310 139 147 170 142 208 169
WPM Timing
Seconds WPM
1.78 40.43
3.56 97.71
5.34 114.55
7.12 114.55
8.9 101.08
10.68 108.94
12.47 105.89
14.25 112.87
16.03 116.8
17.81 119.27
19.59 116.39
21.37 115.68
23.15 118.18
24.93 119.85
26.71 120.84
28.49 121.29
30.27 116.14
32.05 111.18
33.84 108.52
35.62 109.5
37.4 110.38
39.18 111.18
40.96 112.8
42.74 114.55
44.52 115.9
46.3 116.37
48.08 117.05
49.86 116.48
51.64 117.57
53.42 118.6
55.21 118.68
56.99 118.34
58.77 118.64
60.55 118.52
62.33 119.17
64.11 119.98
65.89 118.74
67.67 118.28
69.45 118.01
71.23 117.59
73.01 118.17
74.79 119.05
76.58 120.04
78.36 120.53
80.14 120.54
81.92 120.71
83.7 120
85.48 119.47
87.26 118.4
89.04 116.44