Bob (bushybrows)

Race #876

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Official speed 94.81 wpm (109.36 seconds elapsed during race)
Without ending ping 95.08 wpm (184 ms delay sending score to TypeRacer’s server)
Timerless 98.68 wpm (3,979 ms elapsed before first character typed; 105.19 seconds elapsed during race)
Timerless minus one 98.56 wpm, ignoring the first character typed
Race Start September 25, 2023 2:28:28pm UTC
Race Finish September 25, 2023 2:30:17pm UTC
Outcome No win (2 of 4)
Opponents 1. kadok (94.87 wpm)
Accuracy 97.4%
Points 255.99
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 hcchnange in one qunantity is related to a change in another. How doe s the speed of a falling object change as a function of time? How dodes the level of water in a barrel change as a fucntnction of the amount of liquid poured intio it? We see change occuring ioccuringring in nearly everything we observe in the world and universe, and powerful modenrn uinstruments help us see more and more. In this section we introduce the ideas of average and insattantaneus ous rates of hcchange, and hwshow that they are closely related to the loslope of a curve at a point P on the cureve. We give precise developments of thseese improtaimpportant oceoncnoceoncepts in the next chapter, but for now we use an informal approach so you wil ll see how tthey lead naturally to the main ideea of this chapter, the limit. The idea of a limit palays 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 3979 213 148 66 140 349 201 101 83 37 102 84 66 59 61 62 149 187 65 61 101 0 102 48 77
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 85 82 67 60 72 40 112 75 81 168 51 167 109 99 92 107 176 153 94 157 67 66 74 132 94
Character h c -c -h c h n -n a n g e i n o n e q u n -n a
Milliseconds 126 40 302 128 73 81 154 345 103 109 88 119 73 77 45 89 59 69 67 55 250 61 159 262 115
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 75 120 42 158 64 144 150 112 69 101 46 78 77 62 97 178 19 127 76 80 108 64 132 44 135
Character n g e i n a n o t h e r . H o w d o e -
Milliseconds 49 106 132 60 72 80 78 85 55 331 90 73 110 35 57 95 133 91 84 55 94 104 61 161 393
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 77 47 81 84 88 34 152 98 61 154 152 82 104 68 78 72 94 21 100 58 149 49 55 29 63
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 71 96 164 74 100 183 60 155 157 92 115 103 167 140 82 83 97 109 96 52 100 145 38 191 40
Character o n o f t i m e ? H o w d o d -d e s t h
Milliseconds 54 45 34 142 61 60 96 51 61 82 157 203 210 178 71 95 93 139 34 301 105 99 119 91 53
Character e l e v e l o f w a t e r i n a b a r
Milliseconds 59 64 112 143 151 139 137 0 188 33 393 127 60 95 65 101 49 105 47 88 80 111 120 163 102
Character r e l c h a n g e a s a f u c n t -t -n -c n
Milliseconds 144 66 103 103 100 54 109 68 56 130 107 67 81 107 81 101 71 104 125 52 223 206 131 131 159
Character c t i o n o f t h e a m o u n t o f l i
Milliseconds 92 172 80 40 57 59 97 79 67 98 75 88 27 78 75 88 107 144 82 41 99 87 73 55 70
Character q u i d p o u r e d i n t i -i o i t ? W e
Milliseconds 119 92 88 420 109 204 63 122 164 130 191 70 90 46 93 143 371 184 94 100 83 187 196 209 170
Character s e e c h a n g e o c c u r i n g i -i -o -c
Milliseconds 100 91 93 157 66 103 92 87 91 74 109 65 117 81 155 106 74 112 57 40 80 82 317 155 0
Character -c -u -r -i -n -g - o c c u r i n g -g -n -i r i n g i n
Milliseconds 0 0 0 0 0 0 0 337 113 160 78 121 124 58 44 378 159 133 169 170 98 98 70 165 79
Character n e a r l y e v e r y t h i n g w e o b s
Milliseconds 96 117 160 144 116 144 62 80 68 138 124 65 80 84 99 63 106 72 130 82 87 88 136 122 190
Character e r v e i n t h e w o r l d a n d u n i
Milliseconds 117 96 211 110 112 85 30 170 152 84 122 55 87 77 84 108 207 104 44 120 67 78 397 271 0
Character v e r s e , a n d p o w e r f u l m o d e n
Milliseconds 0 242 0 189 0 147 252 0 0 0 197 0 307 0 0 0 249 255 184 0 230 176 0 156 119
Character $r n u -u i n s t r u m e n t s h e l p u s
Milliseconds 571 145 93 193 153 146 184 0 0 154 133 219 66 56 115 78 114 101 110 117 21 122 83 76 77
Character s e e m o r e a n d m o r e . I n t h i
Milliseconds 121 92 144 203 142 87 52 48 76 67 36 108 53 19 75 52 33 87 81 126 131 69 78 65 58
Character s s e c t i o n w e i n t r o d u c e t h
Milliseconds 52 45 138 65 196 181 33 105 31 32 87 61 87 97 61 54 168 90 177 122 82 147 106 87 75
Character e i d e a s o f a v e r a g e a n d i n
Milliseconds 93 39 130 46 151 72 154 131 109 60 76 73 103 144 86 130 72 111 71 57 95 59 80 144 58
Character s a t -t -a t a n t a n e u s - -s -u o u s r a t
Milliseconds 44 289 0 285 131 210 96 130 67 339 293 161 196 97 126 195 152 137 198 79 26 67 102 67 96
Character e s o f h c -c -h c h a n g e , a n d h w -w
Milliseconds 65 117 85 123 74 59 97 68 254 143 91 76 83 102 94 112 94 112 76 80 118 53 133 11 302
Character -h s h o w t h a t t h e y a r e c l o s e
Milliseconds 141 112 100 47 51 71 94 80 54 72 43 105 58 87 106 51 83 115 67 96 201 98 146 65 62
Character l y r e l a t e d t o t h e l o -o -l s l o
Milliseconds 98 56 54 65 62 98 97 46 87 182 84 102 61 79 58 49 82 97 71 206 237 127 118 67 144
Character p e o f a c u r v e a t a p o i n t
Milliseconds 82 74 46 70 87 67 55 119 57 99 85 227 64 163 81 106 81 157 153 141 48 117 128 90 27
Character P o n t h e c u r e -e v e . W e g i v e
Milliseconds 251 218 120 86 100 111 106 65 72 126 74 105 308 308 85 128 99 40 241 92 127 124 162 31 177
Character p r e c i s e d e v e l o p m e n t s o f
Milliseconds 72 164 62 66 178 110 78 85 96 125 173 139 153 62 171 52 184 92 111 61 97 81 88 82 81
Character t h s e -e -s e s e i m p r o t a -a -i -m -p -r -o -t i
Milliseconds 76 84 120 93 292 130 84 77 105 75 81 85 65 127 0 179 48 260 160 0 0 0 0 0 200
Character m p p -p o r t a n t o -o c e o n c -c -n -o -e n o c
Milliseconds 100 151 157 284 172 100 174 100 146 112 89 140 295 131 18 74 64 60 287 149 162 118 197 0 95
Character e -e -c -o -n o n c e p t s i n t h e n e x t
Milliseconds 68 281 161 145 271 203 67 76 57 165 191 132 277 143 47 49 47 98 40 76 71 64 193 168 65
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 157 40 109 114 70 109 83 72 79 165 125 100 43 135 56 90 60 49 61 39 240 131 102 60 197
Character s e a n i n f o r m a l a p p r o a c h s
Milliseconds 110 61 80 78 112 76 112 71 106 78 101 89 129 71 131 89 95 148 84 131 209 98 129 113 77
Character o y o u w i l l -l - l s e e h o w t -t
Milliseconds 106 61 80 59 93 31 43 111 142 135 134 217 122 190 72 83 70 171 66 104 67 39 63 71 224
Character t h e y l e a d n a t u r a l l y t o t h
Milliseconds 402 80 95 63 76 108 44 87 112 81 127 112 66 92 106 56 87 149 45 58 79 59 84 76 63
Character e m a i n i d e -e e a o f t h i s c h a
Milliseconds 88 41 78 96 89 75 87 129 44 143 253 390 141 116 110 56 75 90 46 62 85 95 158 110 55
Character p t e r , t h e l i m i t . T h e i d e a
Milliseconds 154 69 81 108 75 62 106 37 115 33 336 78 98 88 93 123 85 204 138 51 86 57 117 144 122
Character o f a l i m i t p a -a l a y s a f o u
Milliseconds 98 126 57 63 69 109 213 93 117 91 160 84 71 231 248 201 131 86 107 55 94 105 29 57 54
Character n d a t i o n a l r o l e t h r o u g h o u t
Milliseconds 162 124 108 111 90 28 75 142 122 119 201 102 167 76 55 97 60 135 14 149 121 132 159 72 70
Character c a l c u l u s .
Milliseconds 87 144 68 46 92 103 72 267 234 31
WPM Timing
Seconds WPM
2.19 0
4.37 8.23
6.56 45.72
8.75 64.47
10.94 64.74
13.12 70.41
15.31 79.17
17.5 82.3
19.68 88.4
21.87 89.98
24.06 91.28
26.25 92.36
28.43 95.38
30.62 94.06
32.81 95.83
34.99 94.65
37.18 94.24
39.37 90.53
41.56 89.52
43.74 90.8
45.93 91.71
48.12 92.53
50.3 91.13
52.49 92.36
54.68 94.59
56.86 95.81
59.05 96.93
61.24 95.04
63.43 94.22
65.61 93.64
67.8 95.4
69.99 95.33
72.17 95.93
74.36 95.53
76.55 95.78
78.74 96.02
80.92 94.46
83.11 93.13
85.3 91.02
87.48 91.49
89.67 92.2
91.86 92.88
94.05 92.89
96.23 93.02
98.42 93.64
100.61 94.11
102.79 94.32
104.98 94.19
107.17 94.73
109.36 94.81