Cody (coco_loco09)

Race #1032

View Pit Stop page for race #1032 by coco_loco09 — Ghost race

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Official speed 96.16 wpm (107.82 seconds elapsed during race)
Without ending ping 96.19 wpm (38 ms delay sending score to TypeRacer’s server)
Timerless 96.40 wpm (231 ms elapsed before first character typed; 107.55 seconds elapsed during race)
Timerless minus one 96.29 wpm, ignoring the first character typed
Race Start March 7, 2025 11:22:58pm UTC
Race Finish March 7, 2025 11:24:46pm UTC
Outcome Win (1 of 2)
Accuracy 98.0%
Points 259.62
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 CAlcalculus is a tool that help ss us understand how a change in one quantity is related to a change in another. how How does thes ps pee speed of a falling object change as a funtion ction of time? How does the level opf wf water in a barrel change as a function of the amount of liquid poured into it? W ee see change occuring inring in nearly everything we observe in the world and universe, and powerful modern instruments help us see mroe aore and more. In this section we introduce the ideas of average and instantaneious rates of change, and show that they are closely related to the slope of a cureve at paa pontint P on the curve. We give precise developments of these important concepts in the next chapter, but for now we use an informal approahch 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 through caout calculus.
Timing
Character C A l c -c -l -A a l c u l u s i s a t o o l
Milliseconds 231 122 178 119 323 139 797 167 120 258 130 167 185 76 63 132 96 48 104 61 108 76 125 176 72
Character t h a t h e l p s -s - s u s u n d e r s t
Milliseconds 149 58 95 13 40 124 111 99 18 97 101 429 105 170 67 162 101 81 147 148 63 193 56 184 28
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 105 78 102 50 119 47 48 93 103 55 128 72 116 66 102 60 15 114 60 17 149 67 67 78 195
Character u a n t i t y i s r e l a t e d t o a c
Milliseconds 104 100 80 193 93 86 216 27 313 58 67 103 54 104 162 17 77 183 67 61 77 54 313 262 124
Character h a n g e i n a n o t h e r . h o w - -w -o
Milliseconds 77 127 38 68 66 45 65 384 179 116 89 72 66 80 77 66 88 51 205 96 156 48 281 103 127
Character -h H o w d o e s t h e s p -p - -s s p e e -e
Milliseconds 130 282 257 89 78 143 13 169 64 80 140 78 58 154 77 21 370 114 118 156 42 91 122 163 187
Character -e -p - -s s p e e d o f a f a l l i n g o
Milliseconds 95 133 116 144 248 253 82 141 144 201 111 178 48 149 31 116 92 62 104 123 244 94 79 50 138
Character b j e c t c h a n g e a s a f u n t i o n
Milliseconds 70 114 133 206 133 117 128 97 120 89 50 65 70 88 65 82 81 100 106 103 185 73 113 47 55
Character - -n -o -i -t c t i o n o f t i m e ? H o w
Milliseconds 67 260 111 125 168 90 133 197 49 50 61 68 137 100 65 155 18 77 92 290 171 266 70 131 82
Character d o e s t h e l e v e l o p f w -w - -f -p f
Milliseconds 157 43 139 74 72 99 96 86 74 121 28 191 20 89 49 427 4 66 59 145 206 118 117 144 94
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 71 124 94 100 120 78 45 105 55 50 101 61 130 122 117 164 596 55 71 122 73 149 11 102 50
Character a s a f u n c t i o n o f t h e a m o
Milliseconds 72 106 71 95 90 76 150 78 156 118 205 47 65 49 48 144 64 77 110 64 109 429 105 88 230
Character u n t o f l i q u i d p o u r e d i n t o
Milliseconds 80 163 63 65 70 90 54 87 97 330 139 48 134 78 90 205 88 106 87 185 89 100 106 112 34
Character i t ? W e -e - e s e e c h a n g e o c
Milliseconds 87 207 45 271 86 276 164 116 401 106 102 54 123 153 125 162 126 84 138 44 111 50 50 88 159
Character c u r i n g i n -n -i - -g -n -i r i n g i n n e
Milliseconds 126 165 74 140 43 100 68 121 77 249 103 136 125 149 123 214 70 76 124 304 169 69 30 199 71
Character a r l y e v e r y t h i n g w e o b s e r v
Milliseconds 67 41 104 188 33 90 173 156 65 84 105 88 85 100 56 89 114 35 59 125 170 119 37 140 229
Character e i n t h e w o r l d a n d u n i v e r
Milliseconds 54 88 117 52 22 94 78 82 89 104 92 50 138 96 36 123 66 117 35 181 156 166 106 128 128
Character s e , a n d p o w e r f u l m o d e r n i
Milliseconds 18 116 106 43 180 59 106 50 46 205 77 62 55 162 71 155 94 154 71 55 192 135 155 55 185
Character n s t r u m e n t s h e l p u s s e e m r
Milliseconds 65 72 95 212 76 169 83 84 77 66 83 116 128 86 32 72 236 69 89 183 194 127 119 146 58
Character o e a -a - -e -o -r o r e a n d m o r e . I n
Milliseconds 21 57 108 58 356 81 130 139 130 239 65 46 37 144 63 115 47 103 66 57 61 116 63 275 198
Character t h i s s e c t i o n w e i n t r o d u c
Milliseconds 97 134 80 47 63 66 97 115 209 150 105 29 60 34 118 99 144 97 103 68 162 65 177 116 96
Character e t h e i d e a s o f a v e r a g e a n
Milliseconds 200 69 116 53 92 56 102 74 149 100 71 114 72 126 81 135 154 168 68 178 60 44 82 74 86
Character d i n s t a n t a n e i -i o u s r a t e s o
Milliseconds 86 79 79 72 86 20 194 161 128 250 132 127 457 353 220 88 82 62 119 110 93 52 83 82 84
Character f c h a n g e , a n d s h o w t h a t t
Milliseconds 100 89 301 73 120 62 71 38 103 36 103 76 76 81 73 69 57 89 90 98 112 51 131 96 106
Character h e y a r e c l o s e l y r e l a t e d t
Milliseconds 82 87 90 31 99 27 61 57 155 37 150 75 44 92 160 24 73 54 133 120 16 76 204 53 109
Character o t h e s l o p e o f a c u r e -e v e
Milliseconds 51 39 101 73 64 76 88 95 183 41 145 72 130 49 95 76 74 121 90 71 227 402 181 64 65
Character a t p a -a -p a p o n t -t -n i n t P o n t
Milliseconds 189 79 82 204 215 227 114 106 90 254 133 140 45 473 105 223 64 78 92 285 236 299 83 64 128
Character h e c u r v e . W e g i v e p r e c i s e
Milliseconds 94 77 55 138 77 72 240 13 86 53 214 116 195 201 118 75 59 98 51 104 73 218 81 129 56
Character d e v e l o p m e n t s o f t h e s e i m
Milliseconds 92 131 165 162 38 93 153 70 285 86 90 77 83 72 114 72 98 96 118 59 97 81 77 135 73
Character p o r t a n t c o n c e p t s i n t h e n
Milliseconds 68 257 101 235 257 196 119 94 148 41 86 114 239 86 112 103 72 147 75 31 68 96 117 36 157
Character e x t c h a p t e r , b u t f o r n o w
Milliseconds 68 243 81 69 121 106 71 88 124 85 92 79 44 146 78 110 61 130 63 108 73 129 58 103 91
Character w e u s e a n i n f o r m a l a p p r o a
Milliseconds 189 89 88 246 112 60 93 135 76 45 162 82 70 148 48 108 120 67 70 94 87 121 172 102 133
Character h -h c h s o y o u w i l l s e e h o w
Milliseconds 361 416 103 114 19 145 50 76 192 99 87 39 111 76 180 125 40 167 172 171 124 206 48 73 168
Character t h e y l e a d n a t u r a l l y t o t h
Milliseconds 65 123 80 107 23 136 59 83 123 77 90 62 161 93 83 61 80 105 204 46 131 74 60 111 68
Character e m a i n i d e a o f t h i s c h a p t
Milliseconds 95 55 93 102 109 41 43 143 36 172 78 134 109 125 41 154 70 59 80 76 151 66 94 88 141
Character e r , t h e l i m i t . T h e i d e a o
Milliseconds 206 71 89 56 134 79 88 38 100 88 180 106 139 106 53 230 125 94 87 238 71 172 74 104 106
Character f a l i m i t p l a y s a f o u n d a t
Milliseconds 72 106 57 102 118 107 195 167 80 92 48 169 69 116 117 81 87 65 198 99 104 169 77 160 78
Character i o n a l r o l e t h r o u g h c a -a -c - o
Milliseconds 73 22 55 166 94 84 90 115 166 67 77 98 81 113 23 81 108 56 38 132 107 261 95 136 241
Character u t c a l c u l u s .
Milliseconds 76 65 78 142 94 93 161 105 190 240 88 104
WPM Timing
Seconds WPM
2.16 11.13
4.31 58.43
6.47 66.78
8.63 84.86
10.78 89.04
12.94 90.89
15.09 85.86
17.25 83.47
19.41 77.29
21.56 80.13
23.72 81.95
25.88 81.15
28.03 83.9
30.19 82.28
32.35 83.47
34.5 84.86
36.66 86.09
38.82 86.25
40.97 85.82
43.13 83.19
45.28 84.27
47.44 86.25
49.6 87.59
51.75 88.57
53.91 89.48
56.07 87.97
58.22 88.83
60.38 90.03
62.54 91.15
64.69 89.78
66.85 91.19
69 92.86
71.16 94.1
73.32 93.46
75.47 91.74
77.63 91.97
79.79 92.2
81.94 92.84
84.1 92.6
86.26 93.35
88.41 93.92
90.57 94.07
92.73 93.95
94.88 94.48
97.04 95.22
99.19 95.93
101.35 96.02
103.51 96.22
105.66 96.65
107.82 96.16