chocoπ (chocopi)

Race #450

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Official speed 103.41 wpm (100.26 seconds elapsed during race)
Without ending ping 103.56 wpm (144 ms delay sending score to TypeRacer’s server)
Timerless 104.06 wpm (478 ms elapsed before first character typed; 99.64 seconds elapsed during race)
Timerless minus one 103.94 wpm, ignoring the first character typed
Race Start March 8, 2024 4:52:54am UTC
Race Finish March 8, 2024 4:54:34am UTC
Outcome No win (3 of 5)
Accuracy 98.3%
Points 279.20
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 undersatand 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 levelf of water in a barrel change as a function of the amount of liquid poured into it? We see change ocucurring in nearly everything we observe in teh whe world and univers, e, and powerful nmodern instruments help us see more and more. In this esection we introduce the ideas of average and instantaneous rates of change, and hshow that they are coselosely related to the slop oe of a curve at a point P on the curve. We give precise developments of these important concepts in the next chatppter, but for now we use naan informal approahcch so you will see how they lead naturally to the main idea of this chapter, th ele limit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 478 116 117 158 117 91 153 106 69 63 131 38 188 0 158 55 160 188 69 37 112 9 65 99 112
Character e l p s u s u n d e r s a -a t a n d h o w
Milliseconds 79 97 165 63 70 110 82 88 157 167 57 168 44 104 325 263 94 107 84 133 86 121 53 35 91
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 112 82 140 80 123 55 112 94 40 28 105 40 164 102 93 125 64 116 79 126 89 109 80 185 96
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 95 92 76 90 71 87 132 75 50 170 47 111 51 64 137 77 195 112 103 66 108 60 45 59 107
Character a n o t h e r . H o w d o e s t h e s p
Milliseconds 23 122 87 119 46 97 82 82 69 96 177 94 95 151 102 98 192 107 80 105 35 63 80 163 92
Character e e d o f a f a l l i n g o b j e c t c
Milliseconds 85 144 172 59 68 32 115 74 102 152 132 63 162 60 80 30 59 97 134 161 76 110 207 97 167
Character h a n g e a s a f u n c t i o n o f t i
Milliseconds 98 58 105 84 49 121 51 69 74 97 81 63 112 163 49 174 41 73 56 82 112 112 65 150 55
Character m e ? H o w d o e s t h e l e v e l f -
Milliseconds 99 70 228 103 173 62 117 248 80 102 67 87 40 91 31 79 47 66 69 130 82 58 156 3 382
Character -f o f w a t e r i n a b a r r e l c h
Milliseconds 136 570 160 74 86 139 60 68 142 78 7 88 87 57 83 96 358 88 83 163 184 103 88 99 51
Character a n g e a s a f u n c t i o n o f t h e
Milliseconds 101 67 65 58 105 83 61 68 116 86 152 97 164 70 191 10 98 40 50 98 65 104 129 57 97
Character a m o u n t o f l i q u i d p o u r e d
Milliseconds 78 113 75 112 107 190 108 97 105 53 75 125 112 75 127 74 64 106 172 201 73 58 51 173 40
Character i n t o i t ? W e s e e c h a n g e o c
Milliseconds 62 96 66 66 63 128 79 249 103 190 45 105 156 72 157 62 133 46 105 57 49 74 93 104 160
Character u -u c u r r i n g i n n e a r l y e v e r y
Milliseconds 386 279 105 103 152 237 153 79 48 82 41 101 68 129 55 70 45 95 67 73 75 132 111 79 52
Character t h i n g w e o b s e r v e i n t e h w
Milliseconds 135 94 280 98 73 121 74 41 83 149 51 163 55 103 206 67 42 55 96 47 66 100 0 159 45
Character -w - -h -e h e w o r l d a n d u n i v e r s ,
Milliseconds 338 143 139 147 181 48 106 126 71 110 155 110 107 67 72 92 78 107 178 79 71 136 65 109 87
Character - -, e , a n d p o w e r f u l n -n m o d e
Milliseconds 73 330 125 129 84 56 86 91 85 51 157 623 103 49 75 210 39 72 84 131 279 183 39 78 161
Character r n i n s t r u m e n t s h e l p u s s e
Milliseconds 63 110 63 106 74 106 60 163 40 196 121 40 137 57 89 88 99 97 166 52 104 87 90 145 97
Character e m o r e a n d m o r e . I n t h i s
Milliseconds 132 80 81 101 8 55 70 103 75 99 57 102 75 58 42 166 96 126 104 83 78 93 46 49 170
Character e -e s e c t i o n w e i n t r o d u c e t h
Milliseconds 192 386 94 64 190 227 15 77 46 56 127 51 89 404 69 77 177 92 216 106 86 97 95 106 24
Character e i d e a s o f a v e r a g e a n d i n
Milliseconds 92 56 91 104 170 67 322 165 113 95 76 205 123 141 82 92 88 88 34 126 45 156 48 141 72
Character s t a n t a n e o u s r a t e s o f c h a n
Milliseconds 54 52 117 129 214 185 229 183 175 107 109 83 129 84 107 60 86 35 64 125 48 417 93 40 123
Character g e , a n d h -h s h o w t h a t t h e y
Milliseconds 48 72 89 53 67 113 417 126 148 264 79 97 92 45 83 71 63 49 70 49 98 47 164 11 128
Character a r e c o s e -e -s -o l o s e l y r e l a t e d
Milliseconds 92 57 57 74 166 182 122 45 353 137 145 491 177 54 63 204 85 72 142 82 77 134 54 75 177
Character t o t h e s l o p o -o - e o f a c u
Milliseconds 31 122 26 62 117 41 43 83 133 120 158 153 95 246 290 140 187 50 161 46 91 116 64 320 88
Character r v e a t a p o i n t P o n t h e c
Milliseconds 123 199 79 60 134 60 109 122 68 411 165 102 38 31 132 174 96 155 83 52 97 73 17 125 96
Character u r v e . W e g i v e p r e c i s e d e v
Milliseconds 103 90 226 71 72 76 181 91 114 134 72 130 86 38 124 122 87 236 143 121 55 206 118 254 11
Character e l o p m e n t s o f t h e s e i m p o r t
Milliseconds 641 99 166 165 141 102 94 72 54 94 49 73 83 78 41 112 91 69 60 95 79 51 192 41 145
Character a n t c o n c e p t s i n t h e n e x t
Milliseconds 101 40 101 122 150 64 78 108 77 141 107 118 211 273 75 77 68 92 51 64 101 65 202 121 67
Character c h a t p -p -t p t e r , b u t f o r n o w
Milliseconds 159 76 211 119 128 302 145 180 68 176 43 136 55 143 163 44 105 107 53 304 190 116 97 48 114
Character w e u s e n a -a -n a n i n f o r m a l a p
Milliseconds 102 69 84 116 99 54 64 240 12 443 141 172 29 133 84 72 54 126 58 102 124 144 146 260 36
Character p r o a h c -c -h c h s o y o u w i l l s e
Milliseconds 152 298 156 237 107 54 338 129 95 72 108 112 61 87 146 40 89 102 112 44 203 299 211 128 37
Character e h o w t h e y l e a d n a t u r a l l y
Milliseconds 135 105 93 63 50 73 153 55 120 33 72 111 54 110 134 64 54 90 62 51 120 92 23 162 59
Character t o t h e m a i n i d e a o f t h i s
Milliseconds 86 153 79 94 78 60 65 73 127 67 106 77 69 103 58 160 69 93 78 64 71 109 54 65 73
Character c h a p t e r , t h e l -l -e - e l i m i t
Milliseconds 69 172 68 77 122 53 167 58 97 38 63 102 104 0 279 361 193 149 160 68 127 52 133 79 118
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 112 54 156 124 52 62 84 108 148 66 68 79 131 153 166 94 215 78 87 142 60 118 53 178 88
Character y s a f o u n d a t i o n a l r o l e t h
Milliseconds 105 92 110 106 117 95 104 33 185 55 304 226 70 76 50 77 132 44 101 93 165 73 135 58 98
Character r o u g h o u t c a l c u l u s .
Milliseconds 117 61 64 81 109 90 82 13 160 104 93 57 114 85 159 107 84 139
WPM Timing
Seconds WPM
2.01 89.77
4.01 104.73
6.02 99.74
8.02 106.22
10.03 110.11
12.03 113.7
14.04 113.7
16.04 114.45
18.05 116.36
20.05 116.7
22.06 112.07
24.06 112.21
26.07 113.7
28.07 113.28
30.08 113.7
32.08 111.08
34.09 112.3
36.09 112.37
38.1 109.92
40.1 108.92
42.11 106.58
44.11 107.45
46.12 108.76
48.13 107.47
50.13 107.48
52.14 107.26
54.14 107.28
56.15 107.51
58.15 107.1
60.16 105.52
62.16 105.6
64.17 104.35
66.17 103.91
68.18 104.37
70.18 104.3
72.19 103.56
74.19 104.48
76.2 104.57
78.2 103.42
80.21 103.53
82.21 102.76
84.22 101.59
86.22 101.6
88.23 102.55
90.23 103.46
92.24 102.65
94.25 102.88
96.25 102.98
98.26 103.08
100.26 103.41