SofleV2Practice (soflev2practice)

Race #519

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Official speed 96.94 wpm (106.95 seconds elapsed during race)
Without ending ping 97.04 wpm (112 ms delay sending score to TypeRacer’s server)
Timerless 97.33 wpm (318 ms elapsed before first character typed; 106.52 seconds elapsed during race)
Timerless minus one 97.22 wpm, ignoring the first character typed
Race Start November 26, 2024 7:45:44pm UTC
Race Finish November 26, 2024 7:47:31pm UTC
Outcome No win (2 of 5)
Opponents 1. glandock1 (120.63 wpm)
Accuracy 97.7%
Points 261.73
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 Claculacualculus 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 flallin og object chantge ge as a funtion ction of time/ ? howHow does the ledvel vel of water in a barrel change as a function of the amount of liquid poured into it/ W? weWe see change occurirring in nearly oeeberyverything we obeserve in the world and univedrserse, and powerful modern instruments help us see more and more. In this section we instrtroduce the ideas of average and instantaneous rates of change, and show that they are closely related to the slope of a curbve ave at a apoint P onthe the curve. We give precis dee developments of these important concepts in the next chapter, but for now we use an informal approach so you will see how they lead natauraurally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout calculluus.
Timing
Character C l a c u -u -c -a -l l a c u -u -c -a -l a l c u l u s
Milliseconds 318 134 69 37 114 234 166 175 154 121 34 141 60 248 159 156 156 97 81 130 146 263 158 117 46
Character i s a t o o l t h a t h e l p s u s u
Milliseconds 43 107 62 117 77 100 56 138 127 72 46 95 4 74 49 89 71 165 159 53 91 34 99 116 56
Character n d e r s t a n d h o w a c h a n g e i n
Milliseconds 179 78 150 95 110 71 104 30 149 97 10 80 72 78 112 67 80 77 89 78 215 88 57 95 134
Character o n e q u a n t i t y i s r e l a t e d
Milliseconds 44 84 120 81 76 259 98 114 66 133 74 113 82 69 65 70 344 136 48 116 40 86 62 162 137
Character t o a c h a n g e i n a n o t h e r . H
Milliseconds 99 47 93 142 90 89 61 95 77 49 74 6 80 136 55 123 80 133 117 67 63 57 96 32 215
Character o w d o e s t h e s p e e d o f a f l
Milliseconds 137 120 153 35 109 59 76 51 147 41 123 31 152 97 86 147 228 75 104 71 63 166 41 222 107
Character -l a l l i n o -o - g o b j e c t c h a n t g
Milliseconds 263 70 130 138 141 126 91 82 254 153 272 113 192 101 67 75 177 192 38 158 37 111 50 79 6
Character e - -e -g -t g e a s a f u n t i o n - -n -o
Milliseconds 39 130 209 157 159 199 184 43 84 88 76 66 81 69 131 140 161 78 133 26 113 53 174 151 157
Character -i -t c t i o n o f t i m e / - -/ ? h o w -w
Milliseconds 164 178 83 198 62 35 100 45 107 44 160 100 58 123 77 159 74 452 145 178 125 154 172 98 210
Character -o -h H o w d o e s t h e l e d v e l - -l -e
Milliseconds 153 398 250 183 135 95 111 74 164 120 49 131 46 73 51 66 109 7 110 84 70 4 225 173 153
Character -v -d v e l o f w a t e r i n a b a r r e
Milliseconds 157 220 155 87 82 77 155 98 104 73 66 66 91 83 76 55 163 28 121 71 79 122 95 179 139
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 98 44 189 89 112 71 29 90 61 81 64 124 72 98 34 142 166 53 169 67 39 113 44 117 52
Character t h e a m o u n t o f l i q u i d p o u
Milliseconds 96 101 50 73 81 97 131 78 91 126 74 33 100 84 133 95 67 196 86 63 116 86 140 125 133
Character r e d i n t o i t / W -W - -/ ? w e -e -w W e
Milliseconds 98 52 164 69 42 130 128 36 41 132 171 134 197 136 190 171 168 153 120 162 301 207 164 209 229
Character s e e c h a n g e o c c u r i -i -r r r i n g
Milliseconds 112 83 78 183 20 154 99 70 83 47 83 37 73 104 139 98 108 72 194 235 407 131 121 141 40
Character i n n e a r l y o e -e -o e b e r y -y -r -e -b v
Milliseconds 71 50 129 47 154 136 85 13 141 50 59 166 217 217 198 153 211 101 63 67 204 177 182 162 189
Character e r y t h i n g w e o b e -e s e r v e i n
Milliseconds 110 74 101 136 68 54 124 53 72 86 24 150 381 146 216 305 84 75 75 187 97 55 61 133 28
Character t h e w o r l d a n d u n i v e d r s e -e -s
Milliseconds 53 98 33 89 60 73 71 113 39 94 122 19 99 51 97 159 76 60 126 59 27 110 39 246 177
Character -r -d r s e , a n d p o w e r f u l m o d e r
Milliseconds 161 171 185 74 59 137 40 88 71 102 111 195 64 62 57 80 174 60 134 58 122 47 69 145 55
Character n i n s t r u m e n t s h e l p u s s e e
Milliseconds 93 0 102 125 53 118 47 89 161 66 102 46 53 41 83 159 80 148 120 133 150 99 407 49 195
Character m o r e a n d m o r e . I n t h i s s
Milliseconds 76 93 57 51 42 65 80 77 106 40 88 44 108 73 93 55 119 148 39 62 94 26 96 47 129
Character e c t i o n w e i n s t r -r -t -s t r o d u c e
Milliseconds 85 185 148 83 12 100 144 168 61 114 52 173 120 129 102 212 163 173 103 61 104 134 131 86 150
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 83 100 47 67 50 71 98 135 76 93 214 97 105 105 126 138 154 74 117 66 98 56 80 83 75
Character i n s t a n t a n e o u s r a t e s o f c
Milliseconds 28 98 142 54 96 66 84 89 132 158 195 100 77 133 108 146 168 99 78 74 48 61 91 91 123
Character h a n g e , a n d s h o w t h a t t h e y
Milliseconds 88 83 91 44 81 65 43 68 93 9 152 245 78 48 96 72 79 79 42 65 65 84 96 68 90
Character a r e c l o s e l y r e l a t e d t o t
Milliseconds 32 367 105 46 126 195 138 135 54 62 79 89 68 83 51 141 59 39 88 163 91 139 30 50 83
Character h e s l o p e o f a c u r b v e a -a - -e
Milliseconds 35 78 44 78 94 179 73 177 16 166 105 114 43 107 100 116 35 160 6 53 87 97 189 171 174
Character -v -b v e a t a a -a p o i n t P o n t h e
Milliseconds 161 151 167 100 126 277 106 95 54 128 41 389 232 29 130 151 53 114 187 188 61 121 94 101 77
Character - -e -h -t t h e c u r v e . W e g i v e
Milliseconds 47 263 155 222 236 172 124 97 61 55 113 87 64 200 104 134 43 195 177 85 119 94 88 66 43
Character p r e c i s d e -e -d - e d e v e l o p m e n t
Milliseconds 73 86 90 202 126 112 102 149 146 224 160 167 102 95 105 151 154 97 149 228 41 158 83 92 42
Character s o f t h e s e i m p o r t a n t c o n c
Milliseconds 72 39 49 92 90 467 73 44 116 49 149 99 206 101 93 49 139 89 78 63 96 104 60 101 41
Character e p t s i n t h e n e x t c h a p t e r ,
Milliseconds 148 51 121 78 28 91 125 43 82 59 83 47 67 69 178 114 62 145 57 119 45 95 101 83 55
Character b u t f o r n o w w e u s e a n i n
Milliseconds 45 125 69 134 45 144 81 71 55 76 84 75 65 116 54 107 122 85 36 90 458 191 43 107 101
Character f o r m a l a p p r o a c h s o y o u w i
Milliseconds 73 51 121 43 95 93 63 104 90 155 71 90 11 91 199 28 171 51 67 131 111 72 52 84 92
Character l l s e e h o w t h e y l e a d n a t a
Milliseconds 139 151 49 104 56 157 58 137 25 98 83 99 67 86 91 82 90 60 67 84 51 105 85 95 14
Character u r a -a -r -u -a u r a l l y t o t h e m a i n
Milliseconds 98 62 114 200 165 153 161 130 117 155 96 165 141 67 140 63 53 78 54 79 48 64 89 60 124
Character i d e a o f t h i s c h a p t e r , t h
Milliseconds 32 73 75 134 40 87 62 70 99 65 46 145 7 149 162 85 96 88 133 179 78 115 48 97 59
Character e l i m i t . T h e i d e a o f a l i
Milliseconds 50 70 77 69 134 91 142 64 86 116 70 377 112 102 121 133 83 20 174 160 115 37 146 127 92
Character m i t p l a y s a f o u n d a t i o n a l
Milliseconds 132 48 82 63 48 109 107 90 112 92 84 73 228 78 102 219 81 109 82 75 48 109 119 85 26
Character r o l e t h r o u g h o u t c a l c u l l u -u
Milliseconds 141 97 140 87 116 221 122 126 71 62 93 96 84 83 83 127 122 82 54 83 83 173 168 56 469
Character -l u s .
Milliseconds 154 94 112 99
WPM Timing
Seconds WPM
2.14 5.61
4.28 47.68
6.42 76.67
8.56 89.76
10.7 94.25
12.83 100.98
14.97 104.18
17.11 96.77
19.25 94.12
21.39 90.88
23.53 89.25
25.67 83.21
27.81 82.85
29.95 84.15
32.09 86.77
34.22 89.76
36.36 91.08
38.5 86.64
40.64 87.4
42.78 87.52
44.92 83.61
47.06 83.64
49.2 86.34
51.34 85.32
53.48 87.29
55.62 88.25
57.75 90.17
59.89 89.16
62.03 90.15
64.17 91.26
66.31 92.65
68.45 93.44
70.59 94.86
72.73 93.55
74.87 92.96
77.01 91.63
79.15 92.19
81.28 91.24
83.42 91.63
85.56 92.84
87.7 94.14
89.84 94.43
91.98 95.11
94.12 95.11
96.26 95.62
98.4 96.59
100.54 96.56
102.67 97.01
104.81 97.54
106.95 96.94