carloscarpa (carloscarpa)

Race #5

View Pit Stop page for race #5 by carloscarpa — Ghost race

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Official speed 87.38 wpm (118.65 seconds elapsed during race)
Without ending ping 87.46 wpm (111 ms delay sending score to TypeRacer’s server)
Timerless 87.95 wpm (663 ms elapsed before first character typed; 117.88 seconds elapsed during race)
Timerless minus one 87.85 wpm, ignoring the first character typed
Race Start July 24, 2024 3:12:12am UTC
Race Finish July 24, 2024 3:14:11am UTC
Outcome No win (4 of 5)
Opponents 1. foca248 (122.05 wpm)
2. autumn_tree (100.61 wpm)
Accuracy 96.4%
Points 235.92
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 CAalclululus is a tool that helps us understand how a change in one quanittity is hrelated to a change in another. Howe does the speed of a afalling object change as a functin onion of time? How does the level of water in a berarrel change as a function of the amount of liquid poured in to i? t? We see change occurring in nearly everything we observe in the world and uiniverse, and powerful modern instrucments thelp us see more and more. In hitthis section we introduct e the ideas of average and instatnentaneous rates of change, and show that hethey are closely related to the slope of a curiveved a at tha point P on the curve. We give precise deelvelopments of thse iese ipmportant concetppts in the next chapter, but for now we use an informal approach so wyyou will see how they lead naturally to the main idea of htithis cahapter, the limit. The idea of a limite pl play ss a foundtational role trhroughout calculus.
Timing
Character C A -A a l c l u l -l -u -l u l u s i s a t o o
Milliseconds 663 783 265 111 105 301 114 176 151 247 128 104 306 522 189 82 69 97 88 55 98 105 120 79 127
Character l t h a t h e l p s u s u n d e r s t a n
Milliseconds 144 66 84 74 78 47 92 30 112 98 135 67 77 121 94 107 93 90 50 167 70 135 139 60 73
Character d h o w a c h a n g e i n o n e q u a
Milliseconds 107 61 144 111 57 96 57 95 138 46 112 44 102 87 55 48 48 119 130 81 95 127 168 122 126
Character n i t -t -i t i t y i s h -h r e l a t e d t o
Milliseconds 87 203 73 286 124 109 39 143 51 141 36 180 64 129 216 55 54 113 88 107 94 139 77 106 65
Character a c h a n g e i n a n o t h e r . H o w
Milliseconds 134 137 53 131 102 97 82 60 90 38 97 50 80 94 106 111 46 113 66 54 114 70 336 136 144
Character e -e d o e s t h e s p e e d o f a a -a
Milliseconds 200 441 70 82 121 53 148 68 163 15 217 238 144 82 125 169 168 74 158 103 84 261 119 113 288
Character f a l l i n g o b j e c t c h a n g e a s
Milliseconds 58 81 78 123 134 53 23 74 71 338 231 128 167 131 38 114 85 169 64 81 86 91 77 99 80
Character a f u n c t i n - -n -i o n -n -o i o n o f t
Milliseconds 71 113 48 134 96 80 175 82 169 78 307 124 128 147 54 272 123 119 134 73 42 124 91 64 109
Character i m e ? H o w d o e s t h e l e v e l o
Milliseconds 47 67 81 189 75 253 217 130 95 109 81 82 111 79 96 66 85 51 134 88 169 73 81 21 169
Character f w a t e r i n a b e r -r -e a r r e l c
Milliseconds 65 64 85 92 87 120 65 68 99 48 72 208 110 123 133 177 255 128 130 110 177 65 98 70 117
Character h a n g e a s a f u n c t i o n o f t h
Milliseconds 89 74 37 75 77 49 98 103 72 57 70 170 55 537 110 151 83 118 40 103 473 81 63 111 73
Character e a m o u n t o f l i q u i d p o u r e d
Milliseconds 80 29 138 65 81 100 133 84 57 72 106 50 174 145 80 99 106 81 83 117 135 186 96 148 166
Character i n - t o i ? - -? t ? W e s e e c h
Milliseconds 53 98 69 73 339 197 90 48 173 281 107 398 152 207 234 131 194 539 329 76 169 160 34 190 75
Character a n g e o c c u r r i n g i n n e a r l y
Milliseconds 66 53 81 87 64 191 79 178 110 75 184 143 56 68 99 121 55 57 174 87 56 71 57 177 119
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 105 143 105 74 85 49 83 189 29 227 122 261 66 77 212 144 261 179 86 134 116 64 86 64 55
Character t h e w o r l d a n d u i -i n i v e r s e ,
Milliseconds 96 59 71 21 89 80 0 171 40 86 103 73 73 71 122 408 278 111 64 32 106 62 122 126 97
Character a n d p o w e r f u l m o d e r n i n s t
Milliseconds 153 48 78 74 80 191 129 39 161 64 151 70 146 83 132 88 75 206 95 121 119 115 60 57 251
Character r u c -c m e n t s t -t h e l p u s s e e m
Milliseconds 135 81 85 331 134 318 115 54 137 41 151 233 118 130 33 157 80 135 73 79 139 142 160 39 91
Character o r e a n d m o r e . I n h i t -t -i -h t h
Milliseconds 61 45 71 47 127 56 70 65 114 69 99 61 65 175 194 200 134 161 92 19 225 144 145 62 145
Character i s s e c t i o n w e i n t r o d u c t -
Milliseconds 48 64 83 111 109 153 130 54 129 56 46 89 64 74 201 52 201 145 79 127 115 63 175 96 265
Character -t e t h e i d e a s o f a v e r a g e a
Milliseconds 158 95 100 117 72 80 43 129 77 146 64 141 72 108 85 68 94 254 163 61 139 155 88 42 98
Character n d i n s t a t n e -e -n -t n t a n e o u s r a
Milliseconds 95 50 75 116 374 78 114 113 135 152 98 269 130 128 285 237 229 214 353 297 78 107 135 415 73
Character t e s o f c h a n g e , a n d s h o w t
Milliseconds 103 82 102 58 110 57 47 112 73 63 73 41 69 45 101 81 78 65 120 139 77 150 425 100 149
Character h a t h e -e -h t h e y a r e c l o s e l y
Milliseconds 81 37 89 58 95 122 277 144 81 82 60 82 89 54 88 76 10 141 48 142 30 161 193 183 104
Character r e l a t e d t o t h e s l o p e o f a
Milliseconds 64 96 179 141 153 110 139 77 98 65 61 113 73 79 24 135 42 143 119 114 129 169 85 66 101
Character c u r i v e -e -v -i v e d a -a - -d a t t h -h
Milliseconds 74 106 141 43 141 64 151 152 129 119 97 104 200 129 151 130 152 117 99 216 134 82 127 105 294
Character -t a p o i n t P o n t h e c u r v e .
Milliseconds 127 138 42 126 167 144 65 54 59 205 147 142 63 87 113 81 89 30 216 88 91 174 96 98 96
Character W e g i v e p r e c i s e d e e l -l -e v e l
Milliseconds 254 312 121 215 78 75 142 58 102 64 82 151 66 103 174 49 144 136 217 63 407 128 89 95 88
Character o p m e n t s o f t h s e i -i - -e -s e s e
Milliseconds 161 119 161 131 45 63 153 43 68 96 51 110 58 190 184 31 136 199 144 147 126 143 154 144 31
Character i p -p m p o r t a n t c o n c e t p -p -t p t s
Milliseconds 104 216 359 125 118 118 97 98 101 98 79 73 183 234 100 66 168 119 90 191 119 146 202 165 87
Character i n t h e n e x t c h a p t e r , b u t
Milliseconds 56 74 5 114 71 55 49 248 79 164 148 71 99 81 94 290 85 121 74 139 99 352 94 69 70
Character f o r n o w w e u s e a n i n f o r m a
Milliseconds 303 104 90 54 88 90 61 67 159 86 81 256 111 185 232 264 82 103 80 79 74 85 122 57 103
Character l a p p r o a c h s o w y -y -w y o u w i l
Milliseconds 424 111 240 127 138 57 86 58 151 38 88 196 94 37 139 224 166 123 110 111 57 53 90 107 125
Character l s e e h o w t h e y l e a d n a t u r
Milliseconds 120 8 129 168 176 48 119 99 80 88 148 66 87 94 85 119 80 70 153 76 103 84 146 88 72
Character a l l y t o t h e m a i n i d e a o f
Milliseconds 62 50 131 133 50 94 79 63 112 68 76 15 81 122 77 73 57 152 74 124 75 39 119 115 116
Character h t i -i -t -h t h i s c a -a h a p t e r , t h e
Milliseconds 121 41 77 307 135 107 52 105 40 40 64 122 107 339 138 73 111 62 103 92 93 169 96 47 98
Character l i m i t . T h e i d e a o f a l i m
Milliseconds 55 106 135 87 114 94 167 123 232 185 126 38 113 49 141 66 55 112 88 75 181 106 143 159 98
Character i t e p l -l -p - -e p l a y s -s - s a f o
Milliseconds 101 43 80 61 108 124 217 135 128 202 303 136 146 110 65 143 104 259 134 143 233 151 161 106 240
Character u n d t -t a t i o n a l r o l e t r -r h r o u
Milliseconds 61 138 69 234 431 114 149 122 134 51 464 182 113 223 82 126 59 52 306 110 241 354 119 54 64
Character g h o u t c a l c u l u s .
Milliseconds 210 306 214 79 96 88 192 120 60 93 94 154 119 75 101
WPM Timing
Seconds WPM
2.37 20.23
4.75 32.87
7.12 65.74
9.49 80.91
11.87 78.88
14.24 88.49
16.61 85.96
18.98 84.7
21.36 87.09
23.73 82.93
26.1 85.5
28.48 88.91
30.85 89.46
33.22 89.58
35.6 91.02
37.97 87.54
40.34 86.86
42.72 88.49
45.09 88.63
47.46 89.76
49.83 90.78
52.21 90.33
54.58 91.24
56.95 90.6
59.33 90.41
61.7 91.02
64.07 89.71
66.45 88.67
68.82 89.8
71.19 90.01
73.57 90.86
75.94 89.6
78.31 88.88
80.68 88.94
83.06 88.56
85.43 88.35
87.8 87.88
90.18 87.69
92.55 87.78
94.92 87.86
97.3 88.18
99.67 88.25
102.04 89.26
104.42 89.41
106.79 89.56
109.16 89.81
111.53 88.44
113.91 87.86
116.28 87.2
118.65 87.38