Wingler (wingletonw)

Race #38

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Official speed 79.06 wpm (131.14 seconds elapsed during race)
Without ending ping 79.21 wpm (246 ms delay sending score to TypeRacer’s server)
Timerless 79.43 wpm (373 ms elapsed before first character typed; 130.52 seconds elapsed during race)
Timerless minus one 79.34 wpm, ignoring the first character typed
Race Start October 27, 2024 5:53:15am UTC
Race Finish October 27, 2024 5:55:26am UTC
Outcome Win (1 of 5)
Opponents 3. zoat (70.93 wpm)
4. legitimate_typist (70.17 wpm)
Accuracy 96.4%
Points 213.47
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 itss a tool that rhhelps us understand how a change in one quantity is related to a change in another. How does the speed of a falling jojbecbject tchange as a function of time? How does the level of water in a barrel change as funcna function of a the amount of liquid poured into it? we We see change aoccurinring in nearly everything we observe in the world and unvieivers,ee, and powerful modern instruments help us see more and more. In this section awe intruodcuuc e the ideas of ovaverage and instantaneous rates of change, and show that sthey are closely related to the slope of a curve a t a opoint P on the curve. We give precise developments of hthese important concepts in the next chapter, but for now we use a n informal apporeroach so you will see how they lead natrurally to the main idead a of this chapter, the limit. The idea of a limit plays a foundational role throuhgoghout caluclculus.
Timing
Character C a l c u l u s i t s -s -t s a t o o l t h
Milliseconds 373 175 324 160 112 365 94 155 98 120 180 100 165 133 94 283 131 97 80 67 167 164 106 72 82
Character a t r h -h -r h e l p s u s u n d e r s t a n
Milliseconds 74 60 80 177 243 184 116 130 125 80 164 119 73 85 147 110 211 102 95 153 96 136 147 119 87
Character d h o w a c h a n g e i n o n e q u a
Milliseconds 79 103 88 141 90 64 114 81 136 81 94 90 53 146 68 73 113 170 112 86 79 87 221 174 126
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 82 112 113 122 356 90 148 85 76 284 108 115 133 97 104 176 57 125 41 130 105 85 148 76 108
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 78 46 141 76 63 87 120 172 268 80 90 72 110 65 82 161 329 85 107 103 119 66 128 43 77
Character t h e s p e e d o f a f a l l i n g j -j
Milliseconds 110 78 218 78 103 88 107 135 163 60 113 88 136 72 120 120 109 81 129 155 79 54 88 98 268
Character o j b e c -c -e -b -j b j e c t t -t c h a n g e a
Milliseconds 139 103 74 170 224 256 117 129 138 117 104 128 219 172 92 166 165 444 111 86 87 82 144 79 428
Character s a f u n c t i o n o f t i m e ? H o w
Milliseconds 107 106 78 104 112 125 68 90 186 62 46 88 57 98 105 127 116 66 67 87 228 93 248 88 123
Character d o e s t h e l e v e l o f w a t e r
Milliseconds 86 129 76 109 79 34 135 53 88 68 68 84 147 161 92 108 117 81 106 115 79 75 172 77 88
Character i n a b a r r e l c h a n g e a s f u n
Milliseconds 92 98 50 122 76 184 137 107 164 100 92 105 119 135 85 109 63 132 112 108 91 106 258 120 59
Character c -c -n n -n -u -f a f u n c t i o n o f a - -a
Milliseconds 101 233 136 662 383 484 142 703 372 150 109 67 64 183 96 97 83 87 107 95 105 77 97 209 132
Character t h e a m o u n t o f l i q u i d p o u r
Milliseconds 114 53 113 68 177 81 91 86 73 56 94 119 82 102 113 294 94 141 155 93 93 200 256 89 105
Character e d i n t o i t ? w e - -e -w W e s e e
Milliseconds 100 173 69 110 70 104 92 304 174 83 295 392 291 113 100 164 133 130 88 135 112 231 171 148 98
Character c h a n g e a -a o c c u r i n -n -i r i n g i n
Milliseconds 158 78 90 86 46 152 92 115 237 139 93 419 160 96 142 68 358 141 98 93 53 106 95 323 84
Character n e a r l y e v e r y t h i n g w e o b s
Milliseconds 72 268 79 96 79 71 145 100 119 148 147 71 203 182 64 112 72 45 81 250 111 82 159 124 183
Character e r v e i n t h e w o r l d a n d u n v
Milliseconds 446 111 193 127 60 112 60 61 113 81 78 63 95 83 101 85 116 82 106 85 97 85 245 124 180
Character i e -e -i -v i v e r s , e -e -, e , a n d p o w e
Milliseconds 140 88 204 136 136 372 176 175 85 245 138 70 196 113 231 375 132 204 67 105 86 50 157 87 67
Character r f u l m o d e r n i n s t r u m e n t s h
Milliseconds 96 230 69 141 92 182 83 64 172 47 76 134 175 80 100 176 184 27 81 103 119 85 100 80 89
Character e l p u s s e e m o r e a n d m o r e .
Milliseconds 112 49 179 123 92 129 77 134 170 160 91 129 60 72 64 101 199 163 103 88 81 92 60 78 157
Character I n t h i s s e c t i o n a -a w e i n t
Milliseconds 129 271 100 101 124 88 67 68 65 245 191 196 159 61 67 90 82 97 196 124 71 95 357 65 365
Character r u -u o d c u -u -c u c - e t h e i d e a s
Milliseconds 195 75 316 175 69 209 78 317 135 140 37 285 248 108 73 227 116 92 60 96 122 182 82 283 133
Character o f o v -v -o a v e r a g e a n d i n s t a n
Milliseconds 133 92 274 147 103 323 126 71 150 202 104 159 105 152 69 147 114 54 105 133 104 200 101 214 159
Character t a n e o u s r a t e s o f c h a n g e ,
Milliseconds 77 553 156 275 147 86 129 88 302 88 110 104 101 101 132 87 64 149 69 111 113 55 164 116 120
Character a n d s h o w t h a t s -s t h e y a r e
Milliseconds 204 93 79 103 208 76 63 84 68 109 113 56 73 69 249 169 176 92 85 175 102 117 149 88 79
Character c l o s e l y r e l a t e d t o t h e s l
Milliseconds 165 51 157 93 72 195 144 97 311 88 120 124 109 100 194 105 109 56 118 80 121 104 111 197 105
Character o p e o f a c u r v e a - t a o -o p
Milliseconds 199 130 144 42 112 107 156 49 197 321 96 145 203 162 68 135 153 231 121 141 130 141 169 472 153
Character o i n t P o n t h e c u r v e . W e g
Milliseconds 161 96 107 54 110 278 123 461 91 67 258 60 72 83 227 82 122 198 149 86 121 597 160 101 100
Character i v e p r e c i s e d e v e l o p m e n t s
Milliseconds 97 103 133 93 275 73 68 216 124 132 89 106 397 164 230 154 81 183 332 304 147 88 111 120 97
Character o f h -h t h e s e i m p o r t a n t c o n c
Milliseconds 88 78 100 300 212 102 135 122 145 135 133 352 115 81 156 96 297 122 140 95 112 257 93 63 119
Character e p t s i n t h e n e x t c h a p t e r ,
Milliseconds 209 109 107 173 78 281 69 67 97 76 58 92 216 139 166 220 99 128 88 93 249 106 160 72 116
Character b u t f o r n o w w e u s e a - n
Milliseconds 185 520 124 125 69 140 94 84 95 449 132 130 92 218 147 101 225 138 99 70 153 82 396 115 126
Character i n f o r m a l a p p o r e -e -r -o r o a c h s
Milliseconds 238 169 138 110 104 104 132 45 120 220 90 140 126 71 93 252 132 425 96 106 110 170 66 142 206
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 87 118 266 67 57 78 75 87 152 124 91 56 117 157 164 183 85 120 80 211 94 64 133 97 85
Character e a d n a t r -r u r a l l y t o t h e m a
Milliseconds 95 95 284 137 147 87 97 228 231 150 91 112 136 134 84 79 234 106 259 125 51 126 76 90 153
Character i n i d e a d -d -a - a o f t h i s c h a
Milliseconds 116 39 152 181 157 243 92 140 195 132 149 283 234 138 145 92 93 348 67 91 103 91 313 89 111
Character p t e r , t h e l i m i t . T h e i d e a
Milliseconds 74 79 173 98 58 167 152 93 125 83 121 67 104 154 157 189 139 398 90 125 88 176 107 178 80
Character o f a l i m i t p l a y s a f o u n d
Milliseconds 109 121 119 66 284 98 129 149 104 146 206 216 272 158 54 96 135 102 147 93 175 85 97 82 52
Character a t i o n a l r o l e t h r o u h g o -o -g -h g
Milliseconds 183 125 200 99 96 161 109 106 120 110 157 115 67 221 77 146 89 68 124 26 265 224 146 123 216
Character h o u t c a l u c l -l -c -u c u l u s .
Milliseconds 103 108 91 127 102 736 132 60 108 97 160 207 115 148 115 84 167 70 120 169
WPM Timing
Seconds WPM
2.62 45.75
5.25 61.77
7.87 76.25
10.49 82.35
13.11 87.84
15.74 90.74
18.36 91.5
20.98 84.07
23.61 85.4
26.23 88.3
28.85 90.26
31.47 86.55
34.1 82.35
36.72 83.66
39.34 83.57
41.97 80.92
44.59 79.93
47.21 80.57
49.83 81.15
52.46 80.75
55.08 79.3
57.7 80.69
60.32 81.76
62.95 82.54
65.57 81.44
68.19 80.42
70.82 79.81
73.44 79.74
76.06 80.3
78.68 80.98
81.31 81.47
83.93 81.35
86.55 80.55
89.18 80.34
91.8 80.39
94.42 80.07
97.04 80
99.67 80.31
102.29 80.13
104.91 79.84
107.54 79.34
110.16 79.85
112.78 79.91
115.4 79.86
118.03 79.51
120.65 79.67
123.27 79.73
125.9 80.16
128.52 79.83
131.14 79.06