Vincent (jvgcalites)

Race #8208

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Official speed 79.69 wpm (130.10 seconds elapsed during race)
Without ending ping 79.88 wpm (309 ms delay sending score to TypeRacer’s server)
Timerless 80.12 wpm (383 ms elapsed before first character typed; 129.41 seconds elapsed during race)
Timerless minus one 80.02 wpm, ignoring the first character typed
Race Start August 25, 2023 10:20:08am UTC
Race Finish August 25, 2023 10:22:18am UTC
Outcome No win (3 of 5)
Opponents 1. malformant (87.55 wpm)
2. rajnishkumar31 (79.76 wpm)
5. qw_slow_typist (68.21 wpm)
Accuracy 94.8%
Points 215.16
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 Calculaus is a tool that helps us udnendndnderstand how a changei n on ine in one quantity is related to a changei n in another. How does the speed of a flaalling object change as a funciton tion of time? Ho w does the level of water in a bartrrrel change a s a function of the amounto f of liquid poiured into tiit? We see change occuring inring in nearly everything we observe in the owlworld and universe, and powerful modern instruments helps us see more and more. In this section we indurtroiducduce the ideas of average and instnantaneiouours rates of cahnge,hange and , and show that thyhey are closelye rel larelated to the slope of ac ur rcurve at a opihntpoint P on the curve. We give precise delvvelop-emements of these iomportant concepsts ts int h the next charppter, but for now we use an informatll approach so you will se e how they lead naturally to the main idedaa of this chapter. , the limit. The idea of a limit plays a foundation rolal torole throught out calculus.
Timing
Character C a l c u l a -a u s i s a t o o l t h a t
Milliseconds 383 72 192 156 119 75 80 464 172 42 79 95 88 84 64 101 92 82 119 140 349 67 98 19 77
Character h e l p s u s u d n e -e -n n d -d -n n d -d -n -d
Milliseconds 104 69 92 154 160 100 79 98 106 126 72 136 7 294 257 117 193 113 152 116 194 87 264 116 117
Character n d e r s t a n d h o w a c h a n g e i n
Milliseconds 195 63 164 50 92 77 88 86 65 78 95 105 101 77 87 81 92 85 129 31 98 64 84 21 28
Character o n -n -o - -n - -i -e i n -n -i - e i n o n e
Milliseconds 152 45 72 282 119 116 117 135 140 117 126 98 46 328 137 114 101 79 71 73 74 96 70 41 106
Character q u a n t i t y i s r e l a t e d t o a
Milliseconds 159 50 159 78 117 102 60 120 92 147 79 84 134 89 102 88 34 95 137 75 93 34 161 106 100
Character c h a n g e i n - -n - -i i n a n o t h e r
Milliseconds 119 72 118 29 93 49 83 41 4 260 277 118 117 137 215 74 47 73 88 36 76 69 74 96 49
Character . H o w d o e s t h e s p e e d o f a
Milliseconds 82 116 141 125 109 119 108 130 61 48 81 48 75 68 82 62 88 87 116 119 114 55 93 121 88
Character f l a -a -l a l l i n g o b j e c t c h a n g
Milliseconds 79 89 127 58 248 115 103 98 119 113 44 50 75 82 67 80 152 95 212 162 109 120 66 78 46
Character e a s a f u n c i t o n - -n -o -t -i t i o n
Milliseconds 74 143 62 81 100 88 76 76 141 139 84 151 21 7 67 131 342 115 116 143 139 126 91 54 44
Character o f t i m e ? H o - w d o e s t h e
Milliseconds 98 145 91 73 68 54 28 96 176 179 111 167 399 340 80 79 86 174 57 69 83 76 74 43 104
Character l e v e l o f w a t e r i n a b a r t r
Milliseconds 72 87 106 85 520 86 142 87 122 63 74 99 71 76 77 123 46 71 70 76 95 136 99 0 107
Character -r -t -r r r e l c h a n g e a - s a f u n
Milliseconds 364 137 121 168 200 226 146 86 74 119 13 159 40 50 302 64 141 500 384 121 63 100 120 97 139
Character c t i o n o f t h e a m o u n t o f -f - -o
Milliseconds 46 166 26 28 49 101 142 86 58 70 44 94 118 112 127 51 115 121 63 175 87 44 417 95 142
Character o f l i q u i d p o i -i u r e d i n t o
Milliseconds 105 107 117 115 142 90 198 78 79 238 229 122 90 316 469 198 133 67 142 97 96 27 142 77 116
Character t i -i -t i t ? W e s e e c h a n g e o c c
Milliseconds 64 57 283 93 170 68 218 134 127 194 68 115 73 121 99 67 101 109 34 68 45 108 54 157 136
Character u r i n g i n -n -i - -g -n -i r i n g i n n e a
Milliseconds 73 143 97 46 93 122 7 44 286 119 117 137 139 136 303 120 44 97 183 207 66 100 134 68 71
Character r l y e v e r y t h i n g w e o b s e r v e
Milliseconds 29 133 198 95 110 148 85 118 76 119 50 74 93 21 107 245 70 95 145 112 118 67 100 166 83
Character i n t h e o w l -l -w -o w o r l d a n d u
Milliseconds 79 78 48 72 47 72 91 76 61 10 182 358 96 115 145 101 76 100 57 77 111 102 71 52 99
Character n i v e r s e , a n d p o w e r f u l m o d
Milliseconds 141 142 16 169 110 71 95 86 109 41 105 71 74 299 48 151 68 33 209 75 79 108 120 47 96
Character e r n i n s t r u m e n t s h e l p s -s u s
Milliseconds 69 143 118 97 185 95 83 80 68 99 190 105 55 92 69 104 92 95 124 118 104 593 81 92 92
Character s e e m o r e a n d m o r e . I n t h
Milliseconds 80 153 71 122 116 76 50 72 46 79 88 36 117 70 54 77 88 72 108 86 193 120 139 44 48
Character i s s e c t i o n w e i n d u -u -d r -r t r o
Milliseconds 51 69 83 85 25 217 183 47 51 28 75 91 76 118 144 68 139 143 300 221 149 327 83 46 50
Character i d u c -c -u -d -i d u c e t h e i d e a s o f
Milliseconds 29 121 100 134 215 119 137 137 105 116 119 65 77 95 51 88 55 167 20 146 84 100 138 126 63
Character a v e r a g e a n d i n s t n -n a n t a n e
Milliseconds 96 180 118 113 95 71 105 65 82 60 83 91 52 104 45 43 500 111 260 425 32 489 177 123 200
Character i o u -u -o -i o u r -r s r a t e s o f c a h n
Milliseconds 491 92 66 263 117 595 200 42 134 330 51 82 70 67 322 88 69 122 127 64 74 114 92 8 149
Character g e , -, -e -g -n -h -a h a n g e a n d - -d -n -a - ,
Milliseconds 43 47 85 344 98 133 139 117 184 214 41 124 47 45 126 17 109 45 100 283 96 136 116 139 196
Character a n d s h o w t h a t t h y -y -h h e y a
Milliseconds 67 70 99 90 98 246 96 57 85 78 93 52 88 57 76 97 0 256 714 162 669 92 70 95 65
Character r e c l o s e l y e r e l -l -e -r - -e l a -a -l
Milliseconds 74 76 51 188 72 142 61 52 241 66 113 32 181 44 58 304 97 136 137 117 106 139 85 418 137
Character r e l a t e d t o t h e s l o p e o f a
Milliseconds 105 67 59 86 78 46 168 75 69 83 93 23 92 71 81 37 107 143 70 87 146 95 68 97 15
Character c u r -r -u - -c r -r c u r v e a t a o p i
Milliseconds 148 34 143 135 191 118 138 140 37 117 304 81 164 20 407 89 76 88 100 96 65 103 100 4 121
Character h n t -t -n -h -i -p -o p o i n t P o n t h e c
Milliseconds 69 0 73 310 140 114 118 141 442 201 90 198 91 67 81 280 135 124 91 42 97 48 74 74 141
Character u r v e . W e g i v e p r e c i s e d e l
Milliseconds 97 87 166 44 82 91 95 193 92 74 143 65 73 75 151 79 50 210 143 109 89 127 134 139 149
Character v -v -l v e l o p - e m e -e -m -e -- m e n t s o f
Milliseconds 64 261 113 150 66 103 166 44 6 134 105 114 279 119 136 115 199 82 126 65 92 101 77 88 76
Character t h e s e i o -o m p o r t a n t c o n c e p s
Milliseconds 93 99 111 138 93 143 194 0 460 196 100 65 41 171 60 83 94 316 200 193 62 135 76 151 124
Character t s - -s -t -s t s i n t h -h - -t t h e n e
Milliseconds 8 90 236 212 117 136 144 153 149 75 118 47 77 0 150 340 121 135 58 73 232 62 257 113 71
Character x t c h a r p -p -r p t e r , b u t f o r n
Milliseconds 139 142 117 179 184 87 76 52 434 138 200 40 94 51 101 96 48 100 93 69 187 79 88 46 54
Character o w w e u s e a n i n f o r m a t l -l -t l
Milliseconds 76 63 80 110 98 121 164 62 78 188 607 81 93 94 74 67 153 15 453 57 59 235 252 308 265
Character a p p r o a c h s o y o u w i l l s e
Milliseconds 88 177 85 119 128 98 176 337 95 74 225 76 93 48 77 47 120 87 61 121 162 83 43 54 123
Character - e h o w t h e y l e a d n a t u r a l l
Milliseconds 499 56 76 99 95 43 99 51 96 69 122 71 170 60 71 122 97 120 61 79 74 99 64 61 103
Character y t o t h e m a i n i d e d a -a -d a o f
Milliseconds 129 47 115 124 118 88 28 553 101 114 91 100 47 25 194 63 167 0 41 421 138 273 77 123 85
Character t h i s c h a p t e r . - -. , t h e l i
Milliseconds 147 290 67 27 43 81 144 226 133 104 90 91 51 124 76 237 113 174 86 52 101 41 77 145 114
Character m i t . T h e i d e a o f a l i m i t
Milliseconds 94 118 64 214 65 145 49 94 77 213 103 165 65 80 78 110 119 87 102 54 67 101 119 64 100
Character p l a y s a f o u n d a t i o n r o l -l -o -r
Milliseconds 117 140 37 129 61 106 457 100 110 37 71 125 36 92 59 53 29 48 102 158 82 116 316 116 117
Character - a l t o -o -t r o l e t h r o u g h t - -t o
Milliseconds 121 140 104 64 96 148 251 119 188 256 136 61 95 78 69 119 32 25 93 75 119 164 430 113 375
Character u t c a l c u l u s .
Milliseconds 39 47 104 87 114 128 116 139 76 136 154 81
WPM Timing
Seconds WPM
2.6 78.4
5.2 78.4
7.81 70.71
10.41 63.41
13.01 71.02
15.61 73.02
18.21 81.69
20.82 83.59
23.42 83.52
26.02 82.55
28.62 84.69
31.23 83.78
33.83 83.72
36.43 83.34
39.03 82.09
41.63 82.15
44.24 80.57
46.84 82.5
49.44 82.77
52.04 84.62
54.64 86.08
57.25 86.78
59.85 88.42
62.45 85.7
65.05 87.44
67.65 85.85
70.26 83.69
72.86 82.35
75.46 82.06
78.06 81.01
80.66 79.74
83.27 80.85
85.87 79.94
88.47 78.53
91.07 79.85
93.68 79.17
96.28 79.02
98.88 78.76
101.48 78.04
104.08 78.05
106.69 78.74
109.29 77.96
111.89 78.29
114.49 79.45
117.09 79.22
119.7 79.4
122.3 80.26
124.9 80.32
127.5 80.09
130.1 79.69