BIGRAGATHEOPPSTOPPA (bigraga)

Race #15

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Official speed 106.30 wpm (97.54 seconds elapsed during race)
Without ending ping 106.79 wpm (447 ms delay sending score to TypeRacer’s server)
Timerless 107.14 wpm (314 ms elapsed before first character typed; 96.77 seconds elapsed during race)
Timerless minus one 107.01 wpm, ignoring the first character typed
Race Start May 20, 2024 3:08:21am UTC
Race Finish May 20, 2024 3:09:58am UTC
Outcome No win (3 of 5)
Opponents 2. onah (108.26 wpm)
4. panda1984 (102.82 wpm)
Accuracy 97.0%
Points 287.00
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 Cacllculus is a tool that helps us understand how a chance ige in one quantity is related to a change in naanother. How does the speed fof a gallifalling object change as a function of time? How doest h the level of water in a bareerel change as a function of the amount of liquid porureureured into it ? We see change ocuccurring in nealr;y ely everything we obeserve 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 instanteoneaneous rates of change, and show that they are closelyt r related to the slope of a curve at a pooint P on the curve. We give precise dvelo=evelopments of thseeese important onceconcepts in the next chapter, but for now we use an informal approeachach so so you will see how they lead naturall to ty to the main idea of this chapter., the., the, the limit. The idea of a limit plays a foundational role throuhghought t calculus.
Timing
Character C a c l -l -c l c u l u s i s a t o o l t h
Milliseconds 314 144 136 83 395 101 151 97 95 145 146 70 51 129 66 69 61 59 100 49 116 118 112 84 56
Character a t h e l p s u s u n d e r s t a n d h o
Milliseconds 66 63 13 120 53 82 102 94 67 117 38 83 130 100 37 96 52 114 73 99 64 94 38 120 110
Character w a c h a n c e i -i - -e -c g e i n o n e
Milliseconds 85 67 69 83 80 51 82 67 80 53 38 134 236 94 117 116 39 76 54 120 111 116 136 118 79
Character q u a n t i t y i s r e l a t e d t o a
Milliseconds 49 84 75 100 40 171 87 67 109 55 118 52 95 16 48 85 36 70 42 91 94 56 76 135 86
Character c h a n g e i n n a -a -n a n o t h e r . H
Milliseconds 54 97 64 54 78 70 49 32 135 114 114 139 15 277 102 61 93 116 68 68 48 45 71 107 177
Character o w d o e s t h e s p e e d f -f o f a
Milliseconds 147 88 66 56 80 44 52 90 40 72 43 108 48 120 45 107 123 70 182 283 131 58 78 50 75
Character g a l l i -i -l -l -a -g f a l l i n g o b j e c t
Milliseconds 59 99 42 112 128 158 113 116 132 116 51 34 71 116 111 105 62 67 133 49 116 34 51 124 142
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 77 92 56 91 52 50 91 47 54 92 48 101 51 88 112 37 143 35 102 134 115 136 57 76 81
Character i m e ? H o w d o e s t h -h - -t t h e l
Milliseconds 51 132 67 582 134 132 119 52 83 66 84 50 55 133 13 210 219 85 107 78 54 78 115 59 149
Character e v e l o f w a t e r i n a b a r e e -e
Milliseconds 41 60 65 45 119 132 63 90 30 97 82 86 47 42 115 121 123 69 67 119 47 84 87 113 165
Character -e r e l c h a n g e a s a f u n c t i o n
Milliseconds 99 59 46 68 130 82 48 82 53 85 33 89 51 46 119 10 134 39 93 117 34 134 31 103 135
Character o f t h e a m o u n t o f l i q u i d
Milliseconds 113 140 77 67 69 49 65 67 125 97 129 116 117 47 68 137 72 50 143 121 80 81 121 145 243
Character p o r u r e -e -r -u u r e -e -r -u -r u r e d i n t o
Milliseconds 163 112 99 75 83 48 180 101 104 211 31 36 204 98 115 116 166 31 38 98 46 120 114 70 99
Character i t - ? W e s e e c h a n g e o c u -u
Milliseconds 122 129 57 348 241 154 249 86 121 118 64 76 86 113 87 56 82 43 83 26 50 138 86 72 239
Character -c c c u r r i n g i n n e a l -l r ; y e -e -
Milliseconds 92 363 289 167 81 229 140 113 71 52 119 110 119 116 65 47 166 215 91 80 84 66 66 268 100
Character -y -; l y e v e r y t h i n g w e o b e -e s e
Milliseconds 106 126 191 65 96 49 99 51 38 51 75 52 115 117 51 70 68 43 51 118 141 33 263 54 517
Character r v e i n t h e w o r l d a n d u n i v
Milliseconds 63 133 34 64 120 112 102 65 71 51 80 52 95 51 66 114 40 111 67 97 50 112 112 137 12
Character e r s e , a n d p o w e r f u l m o d e r n
Milliseconds 112 55 95 45 58 114 54 66 87 32 144 123 31 115 33 101 33 138 115 112 132 34 91 50 44
Character i n s t r u m e n t s h e l p u s s e e
Milliseconds 87 135 119 59 101 49 35 139 76 86 64 101 41 116 93 33 101 124 110 53 96 94 105 132 138
Character m o r e a n d m o r e . I n t h i s s e
Milliseconds 129 120 38 42 87 71 46 95 27 125 133 58 31 57 128 125 105 103 95 49 105 61 87 48 138
Character c t i o n w e i n t r o d u c e t h e i d
Milliseconds 46 132 39 111 103 112 68 115 69 117 115 29 41 84 94 51 91 47 65 88 41 77 48 140 35
Character e a s o f a v e r a g e a n d i n s t a n
Milliseconds 102 38 32 82 130 52 85 35 130 66 57 74 86 38 64 83 65 121 218 149 109 24 111 84 41
Character t e o -o n e -e -n -e a n e o u s r a t e s o f
Milliseconds 98 42 88 270 193 84 154 96 98 61 99 66 78 102 81 56 115 98 93 89 131 82 118 59 83
Character c h a n g e , a n d s h o w t h a t t h e
Milliseconds 72 85 151 282 55 49 73 126 37 81 54 64 77 55 123 42 102 50 64 52 58 32 76 67 80
Character y a r e c l o s e l y t r -r - -t r e l a t
Milliseconds 24 120 37 91 45 51 82 67 102 51 30 56 100 50 13 65 273 94 117 152 39 45 34 84 70
Character e d t o t h e s l o p e o f a c u r v
Milliseconds 32 102 93 83 33 108 76 41 92 35 233 65 119 106 76 78 107 78 60 73 49 70 99 43 111
Character e a t a p o o -o i n t P o n t h e c
Milliseconds 53 80 81 69 53 79 74 276 0 117 483 172 111 69 56 222 134 116 119 106 77 68 73 67 95
Character u r v e . W e g i v e p r e c i s e d v e
Milliseconds 84 97 131 51 40 129 133 146 126 78 516 62 59 45 141 32 44 120 103 127 81 127 43 413 34
Character l o = -= -o -l -e -v e v e l o p m e n t s o f t h
Milliseconds 70 102 246 115 120 119 131 120 79 63 74 48 117 110 158 89 41 89 110 25 141 74 59 103 35
Character s e e -e -e -s e s e i m p o r t a n t o n c e -e
Milliseconds 96 0 140 247 103 102 44 70 79 67 116 101 137 99 55 24 120 54 60 105 170 124 33 52 198
Character -c -n -o c o n c e p t s i n t h e n e x t c
Milliseconds 100 119 118 79 68 119 67 49 422 85 112 44 110 114 99 70 76 68 83 130 39 129 38 103 78
Character h a p t e r , b u t f o r n o w w e u s
Milliseconds 85 31 115 56 85 44 21 98 63 86 66 66 70 50 86 45 122 117 62 79 54 237 113 116 39
Character e a n i n f o r m a l a p p r o e a c h -h -c
Milliseconds 61 66 82 67 99 131 105 73 59 82 58 63 64 116 72 83 104 92 139 27 88 95 80 158 101
Character -a -e a c h s -s o - -o s o y o u w i l l s
Milliseconds 108 108 52 42 75 110 69 510 140 115 179 91 78 52 121 79 67 115 118 67 65 117 100 117 51
Character e e h o w t h e y l e a d n a t u r a l l
Milliseconds 32 115 85 152 132 100 82 75 43 75 76 117 133 47 25 92 57 101 42 58 111 30 133 45 111
Character t o t -t - -o -t - y t o t h e m a i n i
Milliseconds 117 98 33 133 67 164 102 123 112 127 60 118 59 75 111 80 43 82 42 138 87 39 105 106 133
Character d e a o f t h i s c h a p t e r . , t h e
Milliseconds 39 109 62 50 128 72 57 82 50 111 65 69 72 76 21 134 66 98 35 34 12 84 63 62 74
Character -e -h -t - -, -. . , t h e -e -h -t - -, -. , t h e l
Milliseconds 153 116 104 131 129 218 165 21 97 70 52 79 164 117 108 127 117 385 334 114 86 63 68 72 131
Character i m i t . T h e i d e a o f a l i m i t
Milliseconds 109 105 101 82 90 192 135 85 48 67 133 37 109 53 40 126 86 56 94 17 165 133 101 99 75
Character p l a y s a f o u n d a t i o n a l r o l
Milliseconds 57 126 114 82 95 67 67 64 69 76 73 134 101 35 79 86 85 116 133 67 68 120 63 55 110
Character e t h r o u h -h g h o u g h t - -t -h -g t c a
Milliseconds 66 51 83 68 73 76 133 135 247 87 86 117 128 65 87 71 97 186 116 116 129 136 148 85 49
Character l c u l u s .
Milliseconds 66 73 77 132 117 70 62
WPM Timing
Seconds WPM
1.95 55.36
3.9 101.5
5.85 110.73
7.8 106.12
9.75 118.11
11.7 113.8
13.65 115.12
15.61 109.19
17.56 113.46
19.51 111.96
21.46 110.17
23.41 110.73
25.36 113.57
27.31 114.68
29.26 108.27
31.21 106.5
33.16 106.02
35.11 104.58
37.06 101.34
39.01 101.5
40.96 103.41
42.92 105.7
44.87 107.25
46.82 108.42
48.77 109.74
50.72 111.91
52.67 109.82
54.62 110.29
56.57 112.43
58.52 112.57
60.47 113.71
62.42 112.27
64.37 112.03
66.32 110.73
68.27 110.55
70.23 109.87
72.18 108.57
74.13 110.08
76.08 110.73
78.03 109.65
79.98 108.78
81.93 109.7
83.88 108.73
85.83 109.75
87.78 107.31
89.73 106.32
91.68 106.8
93.63 107.53
95.58 107.09
97.54 106.3