Fuchelsflught (fuchelsflught)

Race #53

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Official speed 80.54 wpm (128.73 seconds elapsed during race)
Without ending ping 80.77 wpm (368 ms delay sending score to TypeRacer’s server)
Timerless 80.87 wpm (151 ms elapsed before first character typed; 128.21 seconds elapsed during race)
Timerless minus one 80.77 wpm, ignoring the first character typed
Race Start November 25, 2023 8:39:37pm UTC
Race Finish November 25, 2023 8:41:45pm UTC
Outcome Win (1 of 4)
Accuracy 97.0%
Points 217.45
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 understand how a change I in one quantity is related to a change in another. How does the speed of a falling abooobject change as a function of time? hH ow does the level of water in a barrrel e chl change as a function of the amount of liquid pi=ooured into it>> ? weWe see change occuring ring in nearly everything we osbserve in the world and universe , and powerful moder inn instruments help us see more and more. In this section we introduce the idea s of average and instantaneous rates of change, and show that hethey are closely related to the slope of caa curve at a point P on the curve. We hivegive precise develeopments of these important concepts in the next chapter, but efor for now we use a inn informal apporroach so yo uwiuu will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit laysplays oa foundational role throgughout claalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 151 163 129 310 101 241 173 121 61 145 95 84 71 84 101 72 140 130 168 114 65 100 55 29 170
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 94 118 173 80 116 156 98 83 160 132 19 66 97 111 99 85 77 97 85 104 89 84 90 192 218
Character c h a n g e I - -I i n o n e q u a n t i t
Milliseconds 127 95 71 78 81 41 73 198 150 210 131 119 188 153 82 148 104 72 367 98 379 75 166 177 114
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 175 84 156 76 89 85 71 63 100 132 112 89 51 168 59 143 102 113 96 89 82 73 71 41 72
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 141 150 139 61 93 154 81 101 70 54 140 173 199 163 83 73 96 84 67 152 29 144 71 90 70
Character s p e e d o f a f a l l i n g a b -b o -o o
Milliseconds 100 79 84 142 54 84 163 77 116 315 103 189 159 71 146 155 166 86 106 69 142 169 119 39 105
Character -o -a o b j e c t c h a n g e a s a f u n c
Milliseconds 254 144 88 80 150 105 223 223 79 163 86 62 106 61 43 82 95 78 54 204 98 148 84 141 42
Character t i o n o f t i m e ? h -h H - o w d o e
Milliseconds 182 47 135 161 146 162 49 112 62 102 127 45 764 259 419 334 131 183 285 87 136 80 174 89 84
Character s t h e l e v e l o f w a t e r i n a
Milliseconds 142 62 107 83 73 88 161 15 101 86 33 181 158 76 103 196 102 114 136 56 81 159 158 139 50
Character b a r r r e l - -l -e -r e c h -h -c - l c h a
Milliseconds 106 60 132 91 141 156 13 98 176 191 142 122 129 162 286 150 98 205 147 115 74 258 149 115 78
Character n g e a s a f u n c t i o n o f t h e
Milliseconds 89 126 70 99 204 88 71 187 80 122 90 165 79 179 51 144 164 138 157 57 117 70 98 62 104
Character a m o u n t o f l i q u i d p i = o -o -= -i o
Milliseconds 344 103 146 158 153 54 102 143 72 100 133 140 76 103 147 183 85 259 152 482 113 337 143 117 490
Character u r e d i n t o i t > -> > - -> ? w e -e -w W
Milliseconds 162 64 100 84 36 166 142 81 104 151 138 61 259 481 164 333 252 401 213 308 146 84 259 131 104
Character e s e e c h a n g e o c c u r i n g - -g -n
Milliseconds 343 78 107 187 149 81 164 88 79 84 49 55 101 301 169 164 126 88 100 139 75 84 234 145 132
Character -i r i n g i n n e a r l y e v e r y t h i n
Milliseconds 138 143 146 163 100 90 192 155 146 143 14 65 80 95 144 219 148 103 109 84 190 488 78 181 165
Character g w e o s -s b s e r v e i n t h e w o r
Milliseconds 100 99 76 73 72 309 311 274 81 156 177 238 190 51 120 164 177 125 93 111 55 118 77 109 80
Character l d a n d u n i v e r s e - , a n d p o
Milliseconds 149 154 117 104 99 98 59 172 153 146 123 177 158 113 161 74 283 136 168 95 88 100 56 189 149
Character w e r f u l m o d e r i n -n -i - n i n s t r
Milliseconds 57 149 38 160 39 172 154 138 139 16 105 47 224 159 129 224 142 132 229 168 204 138 40 125 66
Character u m e n t s h e l p u s s e e m o r e a
Milliseconds 32 147 96 91 110 59 152 396 30 177 104 210 170 75 91 111 175 152 114 150 157 26 54 112 76
Character n d m o r e . I n t h i s s e c t i o n
Milliseconds 93 95 78 151 143 51 69 148 157 193 161 141 71 104 135 90 79 80 143 85 245 59 151 151 143
Character w e i n t r o d u c e t h e i d e a - s
Milliseconds 60 42 75 138 164 388 60 64 159 88 109 68 96 156 74 99 64 173 29 77 72 151 263 76 105
Character o f a v e r a g e a n d i n s t a n t a n e
Milliseconds 157 96 85 279 171 138 71 139 85 97 119 145 48 100 77 161 136 40 123 114 161 207 202 85 244
Character o u s r a t e s o f c h a n g e , a n d
Milliseconds 159 191 104 108 108 289 88 124 196 86 144 120 100 150 126 54 139 213 42 129 198 169 68 104 67
Character s h o w t h a t h e -e -h t h e y a r e c l
Milliseconds 117 131 155 69 104 80 94 29 73 75 324 102 206 117 101 91 58 65 116 278 48 97 72 233 248
Character o s e l y r e l a t e d t o t h e s l o p
Milliseconds 139 87 221 167 98 153 246 50 106 81 137 101 108 93 144 65 158 103 103 61 100 109 113 142 180
Character e o f c a -a -c a c u r v e a t a p o i
Milliseconds 57 89 162 75 100 214 54 343 119 91 100 79 174 74 252 62 132 148 129 85 125 106 205 152 192
Character n t P o n t h e c u r v e . W e h i v
Milliseconds 170 61 222 156 193 143 149 145 70 119 34 116 74 120 68 176 33 94 374 209 212 109 264 63 145
Character e -e -v -i -h g i v e p r e c i s e d e v e l e -e
Milliseconds 69 237 132 128 110 58 107 101 41 103 418 115 83 175 131 78 175 93 243 83 171 96 143 174 344
Character o p m e n t s o f t h e s e i m p o r t a n
Milliseconds 191 170 348 37 128 48 71 84 225 83 85 112 75 46 177 145 105 179 160 158 139 39 48 137 73
Character t c o n c e p t s i n t h e n e x t c h
Milliseconds 120 114 235 98 177 85 57 184 107 119 97 166 157 139 82 101 85 80 130 68 222 223 97 112 94
Character a p t e r , b u t e f o r - -r -o -f -e f o r
Milliseconds 64 143 138 203 50 112 176 354 98 124 74 132 0 94 105 93 245 132 141 130 248 107 75 127 85
Character n o w w e u s e a i n -n -i - n i n f o r
Milliseconds 154 148 54 125 60 54 103 186 59 149 69 91 84 217 163 181 137 115 144 77 119 143 70 116 67
Character m a l a p p o r -r -o r o a c h s o y o u w
Milliseconds 430 121 89 152 115 125 141 165 118 248 129 62 72 90 84 108 157 66 120 159 88 92 146 0 56
Character i -i -w -u u -u - u w i l l s e e h o w t h e
Milliseconds 116 329 140 138 183 244 118 46 385 117 87 174 86 181 74 168 144 70 125 94 107 91 170 161 97
Character y l e a d n a t u r a l l y t o t h e m
Milliseconds 78 66 158 32 85 57 81 546 73 129 112 91 117 78 138 95 107 140 53 146 110 108 83 68 140
Character a i n i d e a o f t h i s c h a p t e r ,
Milliseconds 57 117 136 134 162 0 67 76 70 167 77 95 97 68 149 45 120 117 98 54 132 81 113 63 69
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 162 252 93 93 75 173 143 186 139 89 104 167 155 156 113 95 241 45 77 57 109 154 95 109 131
Character l i m i t l a y s -s -y -a -l p l a y s o -o a
Milliseconds 87 170 153 158 127 66 118 155 29 113 200 105 140 134 111 90 163 41 120 158 107 186 298 34 158
Character f o u n d a t i o n a l r o l e t h r o g -g u
Milliseconds 173 177 167 128 47 108 76 81 146 150 105 76 143 185 115 136 97 89 149 199 125 138 353 339 149
Character g h o u t c l a -a -l a l c u l u s .
Milliseconds 135 98 237 174 123 97 198 116 46 222 121 65 89 111 255 197 154 93 159
WPM Timing
Seconds WPM
2.57 88.56
5.15 104.87
7.72 94.77
10.3 93.22
12.87 99.74
15.45 100.99
18.02 94.55
20.6 96.13
23.17 91.66
25.75 90.89
28.32 90.68
30.9 85.84
33.47 87.48
36.04 87.56
38.62 84.21
41.19 80.4
43.77 79.78
46.34 77.94
48.92 78.25
51.49 77.6
54.07 78.79
56.64 79.02
59.22 78.42
61.79 78.85
64.37 79.98
66.94 80.67
69.51 81.13
72.09 81.4
74.66 81.81
77.24 82.03
79.81 82.09
82.39 82
84.96 82.06
87.54 81.98
90.11 81.37
92.69 81.18
95.26 81.63
97.84 82.06
100.41 81.03
102.98 80.87
105.56 80.6
108.13 79.79
110.71 80.21
113.28 80.72
115.86 81.51
118.43 81.77
121.01 81.42
123.58 81.37
126.16 81.04
128.73 80.54