Zoltan (zoltanstudios)

Race #36

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Official speed 99.52 wpm (104.18 seconds elapsed during race)
Without ending ping 99.75 wpm (238 ms delay sending score to TypeRacer’s server)
Timerless 100.07 wpm (333 ms elapsed before first character typed; 103.61 seconds elapsed during race)
Timerless minus one 99.95 wpm, ignoring the first character typed
Race Start November 16, 2024 3:48:15am UTC
Race Finish November 16, 2024 3:49:59am UTC
Outcome No win (3 of 5)
Opponents 1. stupididiot9 (122.74 wpm)
2. mapra99 (104.51 wpm)
4. vertlance (94.32 wpm)
5. neil_dudheker (78.91 wpm)
Accuracy 96.6%
Points 268.71
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 t hat that helps us understand how a change in one quqanantity is realtelated to a change in antoehother. 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 fuyncnction of the amount of liquid bpoured into it ?? weWe se e cghanhange occurring in nearly everything we observe in the world and universe, Aand powerful modern instruments hjelpelp us see more and more. In this section we diintroduce the ideas of average and instanteaneous rates of change, wnand show that thyey are closely related to the slop of e of a curve at t aa a oppoint P on the curve. We give presicese cise developments of these important concepts in athe cnext chapte,rr, but for now we use an informal appraoach so you will see how they lead naturally to the main indea idea of this pchapter, tthe litmmit. The idea of a limit plays a foundation al role througout hougt claalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t
Milliseconds 333 230 51 145 54 150 66 64 94 82 105 69 96 64 80 107 143 108 107 55 6 74 65 71 60
Character -t - -h -a -t - t h a t h e l p s u s u n d e r
Milliseconds 349 0 0 0 0 0 186 62 72 57 78 82 71 137 46 57 87 81 64 88 200 47 26 70 89
Character s t a n d h o w a c h a n g e i n o n e
Milliseconds 106 85 80 57 89 89 30 51 54 87 86 80 66 55 91 94 31 75 71 40 63 95 113 62 58
Character q u q a n -n -a -q a n t i t y i s r e a l t e
Milliseconds 58 111 78 145 4 147 275 117 105 87 73 73 96 78 153 80 103 40 91 64 56 65 62 119 33
Character -e -t -l -a l a t e d t o a c h a n g e i n
Milliseconds 247 135 128 119 91 47 80 63 119 92 94 39 113 120 143 105 87 79 82 48 64 66 54 47 113
Character a n t o e h -h -e -o -t o t h e r . H o w d o e s
Milliseconds 71 64 137 23 152 9 238 122 129 120 182 66 80 64 49 101 160 168 336 81 80 114 199 41 60
Character t h e s p e e d o f a f a l l i n g o
Milliseconds 91 63 57 110 15 505 79 66 159 41 63 108 60 80 103 106 88 63 59 141 128 41 50 54 66
Character b j e c t c h a n g e a s a f u n c t i o
Milliseconds 141 152 72 49 191 96 184 75 80 80 45 75 85 105 64 120 151 120 80 90 65 40 245 40 65
Character n o f t i m e ? H o w d o e s t h e l
Milliseconds 66 86 103 40 82 78 89 80 145 191 209 206 168 121 87 39 100 61 49 80 64 80 66 94 87
Character e v e l o f w a t e r i n a b a r r e l
Milliseconds 49 104 97 104 79 111 56 74 80 55 91 81 83 80 130 54 106 66 125 23 186 55 167 64 120
Character c h a n g e a s a f u y n c -c -n -y n c t i
Milliseconds 74 140 66 75 107 42 79 121 72 80 104 249 106 80 101 23 85 9 323 119 220 205 40 169 66
Character o n o f t h e a m o u n t o f l i q u i
Milliseconds 40 61 74 110 56 82 62 75 14 146 80 109 136 34 182 58 86 55 91 78 50 96 108 122 50
Character d b -b p o u r e d i n t o i t ? -? - ? w
Milliseconds 71 103 171 175 199 42 213 74 72 102 104 64 56 128 81 146 125 82 62 184 208 144 104 192 80
Character e -e -w W e s e - e c g h a n -n -a -h -g h a n g
Milliseconds 80 178 121 101 184 80 75 261 208 250 110 82 118 65 3 63 120 205 129 128 103 169 94 42 93
Character e o c c u r r i n g i n n e a r l y e v e
Milliseconds 51 67 253 107 120 100 66 142 40 52 80 53 72 55 87 212 54 41 46 104 143 81 53 101 98
Character r y t h i n g w e o b s e r v e i n t h e
Milliseconds 68 80 120 40 40 106 46 120 80 64 131 149 96 144 152 99 173 72 89 106 40 149 145 97 76
Character w o r l d a n d u n i v e r s e , A -A a n
Milliseconds 78 96 68 107 143 146 117 143 89 66 80 80 62 143 40 66 89 142 143 184 152 233 266 46 119
Character d p o w e r f u l m o d e r n i n s t r u m
Milliseconds 64 80 120 319 57 40 50 184 41 85 119 67 63 55 50 104 119 87 65 66 32 103 150 57 167
Character e n t s h j e l p -p -l -e -j e l p u s s e e
Milliseconds 51 96 46 63 65 135 10 181 59 62 232 120 128 120 73 55 65 120 107 28 112 128 145 175 97
Character m o r e a n d m o r e . I n t h i s s e
Milliseconds 103 51 40 61 99 61 89 66 78 96 24 47 59 109 137 143 171 68 58 80 64 41 78 114 118
Character c t i o n w e d i -i -d i n t r o d u c e t h
Milliseconds 185 176 58 61 65 80 63 40 130 95 67 252 107 160 40 29 160 91 156 67 118 25 103 81 39
Character e i d e a s o f a v e r a g e a n d i n
Milliseconds 137 80 95 90 46 98 142 104 88 67 79 127 418 56 101 90 120 63 65 95 111 67 78 160 31
Character s t a n t e -e a n e o u s r a t e s o f c h
Milliseconds 200 106 103 145 105 270 350 114 186 80 181 49 64 97 80 64 106 69 55 89 80 57 63 145 86
Character a n g e , w n -n -w a n d s h o w t h a t t
Milliseconds 80 80 69 46 81 124 40 194 183 95 114 55 80 74 120 21 81 48 95 65 80 40 90 63 159
Character h y -y e y a r e c l o s e l y r e l a t e d
Milliseconds 113 181 299 326 160 105 18 72 61 99 109 56 155 21 33 106 150 81 63 42 158 66 61 80 113
Character t o t h e s l o p o f - -f -o - e o f
Milliseconds 82 78 87 104 40 65 82 78 72 63 137 47 138 113 65 60 224 130 136 104 70 80 79 83 90
Character a c u r v e a t t a -a - a - -a -t a o p
Milliseconds 54 105 125 104 40 176 56 88 136 64 82 89 143 167 231 128 72 88 375 121 115 102 119 208 6
Character -p -o p o i n t P o n t h e c u r v e . W
Milliseconds 370 104 146 55 151 56 40 73 144 162 181 33 120 56 90 45 96 48 97 75 260 89 175 115 121
Character e g i v e p r e s i c e -e -c s e - -e -s -i -s c
Milliseconds 188 56 128 68 124 40 41 159 51 54 73 157 121 24 296 144 337 59 140 218 134 112 144 105 67
Character i s e d e v e l o p m e n t s o f t h e s e
Milliseconds 100 66 38 105 287 84 180 49 95 155 41 164 56 106 38 65 91 101 39 92 78 90 120 60 104
Character i m p o r t a n t c o n c e p t s i n a -a
Milliseconds 105 135 51 182 48 55 144 41 104 66 107 122 41 50 134 25 121 85 89 106 94 48 98 125 217
Character t h e c -c n e x t c h a p t e , r -r -, r , b
Milliseconds 223 80 81 88 208 192 145 31 567 202 46 144 65 80 107 79 69 146 158 191 121 65 40 127 80
Character u t f o r n o w w e u s e a n i n f o
Milliseconds 25 80 80 175 59 86 63 57 48 56 90 94 47 99 134 55 80 51 80 190 71 129 80 65 126
Character r m a l a p p r a -a o a c h s o y o u w i
Milliseconds 40 107 80 213 120 339 80 141 88 121 535 104 72 80 89 119 185 81 105 46 120 40 63 52 93
Character l l s e e h o w t h e y l e a d n a t u
Milliseconds 40 151 58 65 205 152 104 121 25 65 80 80 77 49 129 67 80 52 47 66 94 48 66 80 88
Character r a l l y t o t h e m a i n i n d e a -i
Milliseconds 72 46 101 124 129 67 35 104 121 25 89 79 81 66 76 79 49 66 308 66 40 80 24 97 399
Character -n -d -e -a - i d e a o f t h i s p -p c h a p t
Milliseconds 0 0 0 0 0 170 80 41 60 250 182 67 85 65 64 40 66 80 80 221 89 80 70 74 73
Character e r , t -t t h e l i t m -m -t m i t . T h e
Milliseconds 78 80 51 184 80 270 167 83 63 78 80 64 66 128 247 104 143 42 81 106 136 105 105 71 66
Character i d e a o f a l i m i t p l a y s a f
Milliseconds 145 68 78 25 100 143 57 105 51 100 64 75 238 56 80 87 200 24 80 115 55 86 120 74 239
Character o u n d a t i o n - a l r o l e t h r o u g
Milliseconds 93 54 149 25 42 133 32 59 44 101 414 85 83 142 65 270 159 66 51 100 64 120 24 56 120
Character o u t - -t -u -o h o u g -g t c l a -a -l a l c u l
Milliseconds 104 33 98 85 304 128 128 120 184 112 41 143 289 47 100 133 81 41 413 128 104 74 106 85 152
Character u s .
Milliseconds 79 121 82
WPM Timing
Seconds WPM
2.08 103.67
4.17 95.03
6.25 120.94
8.33 112.31
10.42 104.82
12.5 101.75
14.59 99.55
16.67 104.39
18.75 106.87
20.84 107.7
22.92 110.47
25 110.87
27.09 109.43
29.17 108.6
31.25 106.74
33.34 102.95
35.42 102.31
37.5 104.31
39.59 104.58
41.67 103.95
43.76 105.04
45.84 103.93
47.92 105.17
50.01 105.35
52.09 105.74
54.17 105.88
56.26 105.16
58.34 105.31
60.42 104.86
62.51 106.16
64.59 105.15
66.68 102.95
68.76 102.27
70.84 102.65
72.93 99.88
75.01 100.47
77.09 101.33
79.18 100.18
81.26 99.97
83.34 100.93
85.43 100.01
87.51 100.79
89.59 102.06
91.68 101.05
93.76 100.98
95.85 101.04
97.93 101.34
100.01 101.27
102.1 100.26
104.18 99.52