Elijah (xeumz)

Race #1358

View Pit Stop page for race #1358 by xeumz — Ghost race

View profile for Elijah (xeumz)

Official speed 88.13 wpm (117.64 seconds elapsed during race)
Without ending ping 88.22 wpm (117 ms delay sending score to TypeRacer’s server)
Timerless 88.46 wpm (317 ms elapsed before first character typed; 117.21 seconds elapsed during race)
Timerless minus one 88.35 wpm, ignoring the first character typed
Race Start October 5, 2023 10:05:22am UTC
Race Finish October 5, 2023 10:07:19am UTC
Outcome No win (3 of 3)
Opponents 1. wise_owl (115.69 wpm)
Accuracy 96.1%
Points 237.95
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 a change in another. How does the speed of a fallin aog iobject change as a function of time? How does th elvel ee level of water in a barrel change as a function of the amount of liquid poured into it? We see change occuriiring in nearly everyuththjiing we obeserver in the world and iuniveserrse, and powerful modern intrstruments help sus see more and more. In this secitontion owe introduce the ideas of eaverage and instanteanoeous rates o cf change, and show that they are colslosely related to the slope of a curve at a point P ont he tn the curve. We give prescise developments of these important comncecptspts in the next chapter, but for now we use an informal apporaraocaooach so you will see how thy eey lead naturally to the main idea of thi scs chapter, thel.im l9imiimit. The idea of a limit plays a foundational role thougroughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 317 90 100 134 168 71 129 134 117 57 135 80 109 108 110 72 138 215 126 93 69 56 84 60 108
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 90 60 114 108 72 93 87 118 143 164 48 121 96 130 82 101 50 156 114 17 94 65 37 226 278
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 117 69 99 65 82 83 38 81 77 85 108 55 37 115 145 112 131 115 116 88 102 122 116 79 108
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 96 236 104 73 97 87 98 179 33 309 51 120 94 115 121 57 120 56 124 73 52 100 66 87 245
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 116 63 61 90 81 71 90 107 279 134 138 100 110 105 48 120 103 69 73 87 84 116 45 98 131
Character d o f a f a l l i n a o -o -a - g i -i o b
Milliseconds 154 149 10 134 70 58 138 272 63 113 157 154 50 116 131 76 263 118 209 185 90 162 266 184 99
Character j e c t c h a n g e a s a f u n c t i o n
Milliseconds 83 97 194 102 85 135 91 45 128 26 83 118 85 83 94 72 120 181 63 182 164 137 69 63 107
Character o f t i m e ? H o w d o e s t h e l v
Milliseconds 110 108 76 76 114 78 67 98 187 100 299 119 107 86 90 85 67 104 40 103 66 136 17 112 115
Character e l -l -e -v -l -e - e -e - e l e v e l o f w a
Milliseconds 111 123 236 145 150 130 148 145 174 141 325 125 78 84 80 55 121 90 105 133 123 47 89 106 111
Character t e r i n a b a r r e l c h a n g e a s
Milliseconds 68 128 71 126 72 82 127 25 113 109 90 113 180 94 95 122 143 103 54 111 21 89 88 110 70
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 101 87 106 126 78 146 105 184 76 72 76 147 71 90 87 116 68 82 113 108 146 103 110 148 50
Character o f l i q u i d p o u r e d i n t o i t
Milliseconds 106 47 75 80 75 370 198 100 97 168 153 113 138 133 88 153 180 99 89 64 95 165 376 164 53
Character ? W e s e e c h a n g e o c c u r i i -i -i
Milliseconds 323 145 592 194 108 85 94 140 78 136 101 68 102 57 79 95 96 66 128 142 82 127 192 255 226
Character r i n g i n n e a r l y e v e r y u t h -h -t
Milliseconds 140 92 62 116 27 104 50 118 108 40 87 36 85 166 89 59 137 109 54 63 12 151 137 207 143
Character -u t h j i -i -j i n g w e o b e -e s e r v e r
Milliseconds 111 99 329 21 107 380 143 230 42 88 44 131 66 113 124 111 144 268 65 44 61 171 89 89 214
Character - -r i n t h e w o r l d a n d i -i u n i
Milliseconds 263 130 186 223 67 114 55 90 41 89 91 95 61 108 77 118 74 74 60 154 242 266 169 161 62
Character v e s e r -r -e -s r s e , a n d p o w e r f u l
Milliseconds 38 136 218 54 34 390 145 109 163 220 79 183 136 69 101 43 109 116 152 92 13 63 196 74 81
Character m o d e r n i n t r -r -t s t r u m e n t s h
Milliseconds 98 122 55 120 134 69 99 80 141 83 71 164 263 136 88 89 173 68 204 70 92 71 112 69 113
Character e l p s -s u s s e e m o r e a n d m o r
Milliseconds 101 64 155 32 410 276 177 85 79 80 16 176 154 87 68 81 40 104 66 66 85 118 60 79 49
Character e . I n t h i s s e c i t o n -n -o -t -i t i o
Milliseconds 69 106 71 228 144 109 34 99 64 65 94 97 112 167 124 20 94 80 284 139 139 123 106 111 80
Character n o -o w e i n t r o d u c e t h e i d e a
Milliseconds 107 102 73 380 58 67 116 440 110 121 164 101 104 70 145 138 116 42 88 49 98 94 18 145 76
Character s o f e -e a v e r a g e a n d i n s t a n
Milliseconds 70 167 86 124 106 73 292 39 96 147 52 167 47 111 115 101 133 98 107 142 45 106 84 100 125
Character t e -e a n o -o e o u s r a t e s o c -c - f
Milliseconds 78 169 243 79 122 220 385 83 130 44 110 185 170 135 91 77 143 69 87 240 313 193 134 108 98
Character c h a n g e , a n d s h o w t h a t t h e
Milliseconds 91 102 0 174 46 78 104 54 89 87 61 108 153 78 61 95 61 79 82 15 78 75 224 97 70
Character y a r e c o l s -s -l -o l o s e l y r e l a t
Milliseconds 122 146 93 57 90 103 129 83 140 81 195 136 119 195 105 52 57 95 172 93 189 69 81 69 70
Character e d t o t h e s l o p e o f a c u r v
Milliseconds 112 169 34 132 42 92 66 86 85 100 134 86 146 86 100 94 119 37 133 91 118 109 121 62 172
Character e a t a p o i n t P o n t h e - -e -h
Milliseconds 72 77 89 98 88 105 91 102 166 150 107 235 180 156 158 179 91 122 15 130 57 126 185 146 141
Character - -t -n t -t n t h e c u r v e . W e g i v e
Milliseconds 147 145 136 338 337 170 124 14 143 60 115 108 102 60 177 66 146 108 165 182 119 113 98 105 34
Character p r e s -s c i s e d e v e l o p m e n t s o
Milliseconds 89 110 53 78 166 260 88 117 59 64 98 89 137 117 69 49 173 86 126 117 101 83 122 122 87
Character f t h e s e i m p o r t a n t c o m -m n c e
Milliseconds 88 82 82 64 43 135 85 114 143 82 151 179 82 175 0 132 96 118 100 92 74 287 169 55 155
Character c p t s -s -t -p -c p t s i n t h e n e x t c
Milliseconds 179 98 88 106 222 143 151 130 192 50 111 85 106 67 123 53 181 83 114 85 45 149 120 101 130
Character h a p t e r , b u t f o r n o w w e u s
Milliseconds 67 79 105 83 110 85 129 68 128 17 139 95 113 50 101 105 98 79 25 129 73 67 108 99 83
Character e a n i n f o r m a l a p p o r a -a -r -o r a
Milliseconds 57 86 90 84 107 86 63 67 95 67 108 121 143 87 203 111 140 122 37 94 326 131 108 84 120
Character o c -c -o -a a o -o -a o a c h s o y o u w i l l
Milliseconds 15 266 166 136 136 184 24 338 108 202 45 182 98 83 91 62 67 121 79 74 38 131 82 129 135
Character s e e h o w t h y e -e - -y e y l e a d
Milliseconds 101 164 133 145 70 101 41 69 60 232 73 168 101 15 280 139 131 162 155 109 100 40 77 112 102
Character n a t u r a l l y t o t h e m a i n i d e
Milliseconds 134 45 54 150 58 82 80 131 130 100 128 12 161 148 67 104 58 95 54 93 60 72 129 86 161
Character a o f t h i s c -c -s - s c h a p t e r ,
Milliseconds 69 137 46 112 72 92 73 67 88 0 225 263 130 135 80 95 98 80 104 54 102 138 74 120 93
Character t h e l . i m -m -i -. -l l 9 i m i -i -m -i -9 i m i t
Milliseconds 68 70 93 384 0 161 134 197 142 229 279 206 132 149 0 115 140 220 139 158 121 227 80 136 85
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 137 96 201 124 52 107 68 91 155 38 133 83 114 95 138 90 333 158 120 106 32 119 84 156 67
Character y s a f o u n d a t i o n a l r o l e t h
Milliseconds 97 108 95 75 122 167 80 42 145 17 101 75 253 269 181 91 73 164 241 115 139 72 82 116 75
Character o u g -g -u -o r o u g h o u t c a l c u l u s .
Milliseconds 35 118 76 274 125 142 226 133 74 155 85 310 70 116 137 246 127 137 187 267 91 158 122 88
WPM Timing
Seconds WPM
2.35 91.8
4.71 107.1
7.06 113.9
9.41 110.93
11.76 111.18
14.12 112.2
16.47 102
18.82 103.28
21.18 104.27
23.53 95.88
25.88 97.37
28.23 99.03
30.59 100.43
32.94 99.45
35.29 97.24
37.65 96.9
40 95.7
42.35 94.07
44.7 93.68
47.06 90.78
49.41 91.8
51.76 91.8
54.12 91.58
56.47 91.59
58.82 90.37
61.18 91.02
63.53 91.24
65.88 90.16
68.23 91.1
70.59 90.44
72.94 91.47
75.29 91.96
77.65 89.95
80 89.7
82.35 90.05
84.7 90.81
87.06 89.32
89.41 90.19
91.76 91.54
94.12 90.27
96.47 89.81
98.82 89.25
101.17 90.14
103.53 90.06
105.88 89.54
108.23 88.25
110.59 88.55
112.94 88.83
115.29 88.37
117.64 88.13