Maros (wlkvr)

Race #3423

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Official speed 94.52 wpm (109.69 seconds elapsed during race)
Without ending ping 94.45 wpm (-83 ms delay sending score to TypeRacer’s server)
Timerless 94.76 wpm (363 ms elapsed before first character typed; 109.41 seconds elapsed during race)
Timerless minus one 94.65 wpm, ignoring the first character typed
Race Start November 19, 2023 7:46:57am UTC
Race Finish November 19, 2023 7:48:47am UTC
Outcome No win (2 of 5)
Opponents 1. neko_kat (113.16 wpm)
3. leas_celyn (87.24 wpm)
4. smileyyy___ (78.85 wpm)
Accuracy 98.2%
Points 255.21
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 falling object change as fa ufunction of time ?? WHHow does the level of water in a barrel change as a function of the amount of liquid poured into it? We see change occuring ring in nearly everythning we observe in the world and univsererse. , and powerful modern instruments help us see more and more. In this sceection we indtroduece the ideas of average and instantenaneous rates of change, and show that they are closely related to the slpope ofa a rcruurve 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 calculurs.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 363 195 96 119 119 90 167 173 176 94 119 72 94 96 72 96 162 194 72 96 69 213 96 118 256
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 144 93 115 92 74 118 119 71 176 176 48 96 165 140 162 72 118 74 51 173 24 92 72 96 94
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 118 71 94 117 48 74 69 71 122 44 119 71 145 69 185 125 94 94 95 93 91 120 94 135 95
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 72 190 92 73 139 72 93 153 313 117 92 68 74 94 209 91 96 97 73 47 73 116 74 45 69
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 143 70 116 95 119 50 94 116 190 158 74 94 115 96 120 50 71 115 46 98 71 119 95 116 163
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 158 73 139 66 96 48 95 371 72 97 177 99 69 50 68 96 156 195 68 124 198 203 142 94 98
Character n g e a s f -f a u -u f u n c t i o n o f
Milliseconds 97 93 47 71 121 69 97 292 240 138 72 173 246 93 94 175 95 163 70 163 142 118 94 96 71
Character t i m e ? -? - ? W H -H -W H o w d o e s t h
Milliseconds 118 93 75 71 119 118 263 163 215 117 237 115 311 157 168 183 94 68 118 96 97 68 74 124 73
Character e l e v e l o f w a t e r i n a b a r
Milliseconds 93 69 94 115 70 119 69 96 145 47 72 116 188 95 118 96 73 94 74 95 49 116 138 118 118
Character r e l c h a n g e a s a f u n c t i o n
Milliseconds 151 71 115 97 143 93 69 118 72 71 96 139 70 93 73 119 119 118 168 116 196 92 73 72 49
Character o f t h e a m o u n t o f l i q u i d p
Milliseconds 115 95 94 98 93 72 69 98 118 97 343 194 120 48 117 95 73 152 137 94 137 354 166 130 146
Character o u r e d i n t o i t ? W e s e e c h a
Milliseconds 46 189 170 119 176 79 95 69 118 70 212 158 349 264 118 117 215 93 119 94 159 72 117 90 72
Character n g e o c c u r i n g - -g -n -i r i n g i n
Milliseconds 128 95 50 45 125 92 145 115 96 124 117 70 94 251 165 163 155 93 142 45 94 72 123 142 120
Character n e a r l y e v e r y t h n -n i n g w e o b
Milliseconds 116 96 69 73 120 118 120 217 178 94 48 115 122 116 220 342 193 117 96 48 123 71 72 143 473
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 193 215 365 209 73 120 102 350 119 96 67 118 22 122 93 73 122 93 228 71 92 69 96 75 199
Character i v s e r -r -e -s e r s e . - -. , a n d p o w
Milliseconds 69 45 98 69 122 220 187 150 48 47 118 49 120 262 183 157 160 141 71 143 70 71 238 118 50
Character e r f u l m o d e r n i n s t r u m e n t s
Milliseconds 47 47 191 21 99 117 117 69 118 71 156 96 117 96 175 92 96 70 21 211 46 146 69 73 72
Character h e l p u s s e e m o r e a n d m o r e
Milliseconds 128 175 118 93 141 123 118 47 153 120 168 95 140 95 77 95 95 93 70 95 73 95 70 48 50
Character . I n t h i s s c e -e -c e c t i o n w e
Milliseconds 140 93 168 121 139 144 92 70 46 71 264 198 46 342 151 50 93 143 46 120 46 90 71 73 72
Character i n d -d t r o d u e -e c e t h e i d e a s o
Milliseconds 223 120 93 265 156 72 70 221 95 117 404 71 97 94 97 72 115 96 120 94 46 46 193 124 130
Character f a v e r a g e a n d i n s t a n t e n -n -e
Milliseconds 140 94 145 154 94 71 193 161 92 98 93 72 118 92 428 121 69 94 100 47 139 71 142 349 164
Character a n e o u s r a t e s o f c h a n g e , a
Milliseconds 72 93 140 191 117 144 121 133 95 142 70 94 96 117 99 45 165 117 73 117 95 70 94 121 70
Character n d s h o w t h a t t h e y a r e c l o
Milliseconds 118 152 94 173 140 71 47 93 119 97 93 72 94 122 118 281 93 95 93 123 71 48 161 93 132
Character s e l y r e l a t e d t o t h e s l p -p o
Milliseconds 48 70 121 118 95 162 96 95 47 95 72 167 73 117 68 70 120 90 50 50 90 94 250 615 213
Character p e o f a - -a a r -r c r u -u -r u r v e a
Milliseconds 162 145 91 69 118 121 119 280 162 72 96 117 434 316 91 72 95 302 155 179 145 166 71 118 157
Character t a p o i n t P o n t h e c u r v e .
Milliseconds 118 67 117 95 250 116 73 71 46 72 196 116 140 67 358 136 70 91 73 139 223 116 153 73 92
Character W e g i v e p r e c i s e d e v e l o p m
Milliseconds 95 167 169 93 423 97 117 71 69 118 91 74 162 69 302 71 93 219 95 232 72 173 251 165 345
Character e n t s o f t h e s e i m p o r t a n t c
Milliseconds 119 118 46 74 96 72 70 91 126 120 98 134 95 95 118 117 70 70 97 165 72 71 94 70 317
Character o n c e p t s i n t h e n e x t c h a p t
Milliseconds 287 96 142 117 199 138 91 94 116 71 72 116 94 45 70 100 69 185 143 92 162 94 96 159 294
Character e r , b u t f o r n o w w e u s e a n
Milliseconds 94 91 168 117 132 172 71 75 136 117 141 46 116 217 138 50 158 120 117 141 95 73 120 194 72
Character i n f o r m a l a p p r o a c h s o y o u
Milliseconds 164 119 94 71 141 70 122 92 97 118 118 70 157 179 118 0 331 116 94 92 117 46 164 71 94
Character w i l l s e e h o w t h e y l e a d n
Milliseconds 70 76 70 70 149 71 74 69 169 96 162 51 68 95 74 92 126 94 45 144 70 48 146 98 179
Character a t u r a l l y t o t h e m a i n i d e a
Milliseconds 149 69 118 95 70 74 166 117 48 162 101 369 141 68 96 47 142 69 89 72 50 142 70 93 23
Character o f t h i s c h a p t e r , t h e l i m
Milliseconds 93 97 95 49 369 94 68 45 95 161 75 141 304 142 116 93 145 118 150 69 97 48 68 73 167
Character i t . T h e i d e a o f a l i m i t p
Milliseconds 48 93 309 117 233 206 92 73 122 95 117 49 141 94 93 94 25 115 99 114 73 120 47 93 152
Character l a y s a f o u n d a t i o n a l r o l e
Milliseconds 176 70 120 92 96 96 94 117 98 93 177 95 71 160 72 96 93 222 138 117 153 93 145 76 24
Character t h r o u g h o u t c a l c u l u r -r s .
Milliseconds 192 93 118 95 71 49 142 97 124 46 73 293 350 141 190 96 71 117 70 408 95 129
WPM Timing
Seconds WPM
2.19 87.52
4.39 90.25
6.58 100.28
8.78 103.93
10.97 106.12
13.16 108.49
15.36 107.84
17.55 107.35
19.74 102.1
21.94 96.82
24.13 97.46
26.33 99.37
28.52 100.56
30.71 100.8
32.91 99.55
35.1 98.8
37.29 96.53
39.49 96.94
41.68 94.72
43.88 94.36
46.07 93.51
48.26 92.99
50.46 93.7
52.65 94.81
54.85 93.86
57.04 93.83
59.23 93.8
61.43 93.77
63.62 92.99
65.81 93.72
68.01 94.22
70.2 94.53
72.4 93.15
74.59 91.38
76.78 91.58
78.98 91.47
81.17 91.36
83.37 91.84
85.56 91.87
87.75 92.03
89.95 92.19
92.14 92.47
94.33 93.12
96.53 93.61
98.72 93.96
100.92 94.18
103.11 94.27
105.3 94.7
107.5 95
109.69 94.41