Leeyow (leeyow)

Race #67

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Official speed 101.44 wpm (102.21 seconds elapsed during race)
Without ending ping 101.60 wpm (163 ms delay sending score to TypeRacer’s server)
Timerless 101.98 wpm (374 ms elapsed before first character typed; 101.67 seconds elapsed during race)
Timerless minus one 101.86 wpm, ignoring the first character typed
Race Start September 21, 2023 8:02:46am UTC
Race Finish September 21, 2023 8:04:28am UTC
Outcome No win (3 of 5)
Opponents 2. ergosolo (106.65 wpm)
Accuracy 97.3%
Points 273.88
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 Caclculus is a tool that helps us understand how a change in one quantitiyy is related to a change in another. How does the speed of a falling i=object change as a function of time? How does the level of water in a barrel change as a function of the amount of liwuiqquid poured into utit? We see change occuringring in nearly veverything 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 instantanoeeous rates of change, and how showt that they are closed l y related to the slope of a curve andt a point pP on the curve. We give precidese developments of these impoerrtant concerptpts in the next chapter, but for now we used a an informal apporoaucch so you will se e how they lead naturally to the main idea of this cahhapter, the limit. The idead of a litmimit plays a foundational role throughout calculus.
Timing
Character C a c -c l c u l u s i s a t o o l t h a t
Milliseconds 374 138 300 266 134 108 91 153 88 78 115 67 81 66 93 134 76 99 156 137 34 87 90 29 94
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 59 51 74 98 60 74 80 41 105 74 112 99 46 61 131 107 121 102 56 115 51 80 85 26 76
Character a c h a n g e i n o n e q u a n t i t i y
Milliseconds 84 94 65 56 110 62 287 95 76 70 68 87 92 75 80 68 183 114 134 31 197 76 101 76 133
Character -y -i y i s r e l a t e d t o a c h a n g
Milliseconds 233 126 120 106 141 71 116 72 85 99 183 158 126 146 81 60 69 78 60 100 156 47 113 81 108
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 88 89 80 79 95 96 52 94 59 104 80 69 102 71 187 61 81 42 153 86 88 114 87 83 81
Character e s p e e d o f a f a l l i n g i = -= -i
Milliseconds 55 70 97 56 86 383 184 116 66 104 77 101 103 229 102 97 131 167 75 28 106 149 433 250 173
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 214 138 172 80 122 151 104 246 86 67 94 50 73 112 410 130 65 473 93 107 87 77 66 144 23
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 100 82 66 92 79 34 111 36 57 92 245 214 261 76 135 75 98 114 64 120 73 86 77 61 78
Character l e v e l o f w a t e r i n a b a r r e
Milliseconds 76 53 111 65 95 61 137 47 73 67 97 131 88 107 46 72 75 84 71 86 106 71 134 145 83
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 98 43 156 37 504 140 127 71 95 121 109 106 98 78 93 95 83 54 167 27 87 101 64 85 63
Character t h e a m o u n t o f l i w u i -i -u q -q -w
Milliseconds 39 109 15 108 75 105 86 70 205 88 76 81 115 94 66 95 107 134 136 95 199 145 276 117 151
Character q u i d p o u r e d i n t o u t -t -u i t ?
Milliseconds 86 72 64 175 119 129 388 134 77 70 131 90 53 71 91 78 83 123 110 205 148 87 131 233 151
Character W e s e e c h a n g e o c c u r i n g -g -n -i
Milliseconds 183 91 72 97 119 153 78 109 79 90 104 64 83 40 31 120 143 120 172 83 68 81 225 146 131
Character r i n g i n n e a r l y v -v e v e r y t h i
Milliseconds 150 70 62 62 84 41 68 93 80 96 90 89 116 89 81 188 232 104 80 104 111 68 119 92 60
Character n g w e o b s e r v e i n t h e w o r l
Milliseconds 107 80 72 86 77 60 115 117 125 111 198 180 93 118 114 77 50 85 80 76 80 92 13 134 91
Character d a n d u n i v e r s e , a n d p o w e r
Milliseconds 95 90 75 51 90 49 108 140 364 120 192 89 132 106 157 117 98 73 115 60 50 74 51 75 150
Character f u l m o d e r n i n s t r u m e n t s h e
Milliseconds 158 25 117 107 89 89 71 94 109 130 246 120 71 223 117 148 63 184 89 98 46 137 63 61 89
Character l p u s s e e m o r e a n d m o r e .
Milliseconds 96 65 81 113 59 90 83 89 129 75 119 75 65 65 54 117 43 153 61 76 74 48 42 117 105
Character I n t h i s s e c t i o n w e i n t r o d
Milliseconds 125 86 37 169 39 54 71 44 116 72 134 173 34 74 102 222 112 105 106 145 74 42 131 80 207
Character u c e t h e i d e a s o f a v e r a g e
Milliseconds 100 208 102 95 68 61 99 28 170 126 51 75 136 92 110 78 81 64 118 93 120 106 226 76 99
Character a n d i n s t a n t a n o e -e -o e o u s r a t
Milliseconds 84 96 79 50 92 76 67 100 86 106 135 132 238 108 155 277 148 63 176 102 66 76 110 96 157
Character e s o f c h a n g e , a n d h o w - -w -o
Milliseconds 83 147 81 81 75 74 96 75 110 63 85 48 64 91 137 78 110 55 107 89 34 113 201 152 155
Character -h s h o w t - -t t h a t t h e y a r e c
Milliseconds 132 98 111 61 27 165 52 300 130 51 90 74 75 89 54 112 8 164 27 135 84 131 68 61 105
Character l o s e d - -d l - y r e l a t e d t o t
Milliseconds 54 170 25 105 177 167 261 138 136 182 258 85 79 113 77 110 191 112 97 167 30 134 55 93 63
Character h e s l o p e o f a c u r v e a n d -d -n
Milliseconds 101 62 74 100 64 159 79 87 96 78 66 86 222 107 143 88 102 131 81 54 122 99 117 136 131
Character t a p o i n t p -p P o n t h e c u r v
Milliseconds 156 95 98 87 115 162 188 77 37 67 133 179 168 123 101 88 75 87 59 65 98 190 96 116 260
Character e . W e g i v e p r e c i d e -e -d s e d e
Milliseconds 76 111 130 208 90 69 136 62 115 67 69 45 98 65 143 84 359 256 191 133 23 88 63 131 67
Character v e l o p m e n t s o f t h e s e i m p o e
Milliseconds 131 69 64 133 76 141 80 127 33 166 52 73 161 117 91 43 97 168 97 40 61 63 142 92 322
Character r -r -e r t a n t c o n c e r p t -t -p -r p t s i
Milliseconds 11 304 128 92 149 80 100 52 96 161 86 77 113 84 142 86 159 126 147 130 178 95 139 72 87
Character n t h e n e x t c h a p t e r , b u t f
Milliseconds 50 62 77 91 55 65 66 60 151 134 73 120 99 52 110 71 62 126 111 156 96 85 85 64 98
Character o r n o w w e u s e d a -a - -d a n i n
Milliseconds 67 92 58 43 79 41 102 103 113 56 227 71 98 135 23 153 238 137 133 70 61 80 92 116 68
Character f o r m a l a p p o -o r o a u c -c -u c h s o
Milliseconds 123 104 94 62 106 81 100 62 99 103 256 299 100 94 79 90 123 239 117 102 87 87 80 91 91
Character y o u w i l l s e - e h o w t h e y l
Milliseconds 209 74 81 65 72 104 114 141 59 79 74 474 224 90 62 81 66 77 65 107 65 84 77 65 108
Character e a d n a t u r a l l y t o t h e m a i n
Milliseconds 63 72 71 73 123 105 107 101 170 82 104 132 62 96 120 21 133 84 68 99 65 36 97 71 67
Character i d e a o f t h i s c a h -h -a h a p t e r
Milliseconds 62 130 43 70 49 168 122 268 81 106 34 145 115 70 177 92 171 184 142 120 60 120 89 142 82
Character , t h e l i m i t . T h e i d e a d - -d
Milliseconds 120 124 103 50 109 77 69 189 87 108 81 154 117 211 76 94 76 118 122 43 76 119 27 294 120
Character o f a l i t m i -i -m -t m i t p l a y s a
Milliseconds 75 96 66 75 79 109 27 95 121 77 80 215 137 172 107 76 61 67 68 67 43 151 100 44 103
Character f o u n d a t i o n a l r o l e t h r o u g
Milliseconds 106 125 79 180 83 51 106 112 56 71 115 92 98 56 59 126 174 137 103 182 80 105 86 92 126
Character h o u t c a l c u l u s .
Milliseconds 93 161 86 115 67 231 99 15 154 76 102 96 61 114
WPM Timing
Seconds WPM
2.04 64.57
4.09 105.67
6.13 113.49
8.18 107.13
10.22 109.19
12.26 112.52
14.31 111.54
16.35 104.2
18.4 102.41
20.44 103.32
22.49 104.6
24.53 107.13
26.57 107.02
28.62 107.76
30.66 103.32
32.71 102
34.75 102.56
36.79 101.75
38.84 101.96
40.88 103.32
42.93 103.43
44.97 103.27
47.02 104.65
49.06 106.16
51.1 106.37
53.15 106.57
55.19 105.45
57.24 106.3
59.28 103.84
61.32 104.3
63.37 103.02
65.41 103.65
67.46 103
69.5 102.73
71.55 101.98
73.59 102.41
75.63 101.86
77.68 101.03
79.72 101.9
81.77 101.41
83.81 101.23
85.85 101.05
87.9 101.02
89.94 101.66
91.99 101.62
94.03 101.58
96.08 101.3
98.12 101.02
100.16 101.23
102.21 101.44