Mouse (atypingmouse)

Race #2287

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Official speed 76.37 wpm (135.76 seconds elapsed during race)
Without ending ping 76.48 wpm (191 ms delay sending score to TypeRacer’s server)
Timerless 78.59 wpm (3,645 ms elapsed before first character typed; 131.92 seconds elapsed during race)
Timerless minus one 78.50 wpm, ignoring the first character typed
Race Start February 28, 2024 7:48:48pm UTC
Race Finish February 28, 2024 7:51:04pm UTC
Outcome No win (4 of 5)
Accuracy 96.9%
Points 206.19
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 isia a tool that helps us understand how a change in one quanity tity is related to a change in another. How does the speed of a falling pobject change as a function of time? Hoew wdoes the level of water in a barerel change as a function of the amount of liquicd poured into tiit? We see change occuring iring in nearly everthinything we observe in the world and unciiverse, and powerful modern insturmruments help uss see more and more. In theiis sectiion we indtroduce the ideas of average and instantanerouour rs rates of chnange, and show that they are eclosely related to the slope of a curve at a opoint P on the curve. AWe give preccise development s of these important concepts in the next chapeter, but for now ewe use an informal apporroach so you will see how they lead naturally to the main idea of thsiis chapter, the limit. The idea of a limit plays a foundation al role throughout calculus.
Timing
Character C a l c u l u s i s i a -a -i a t o o l t h
Milliseconds 3645 174 107 203 77 227 200 133 93 75 171 116 186 317 123 191 110 73 175 89 123 151 97 81 87
Character a t h e l p s u s u n d e r s t a n d h o
Milliseconds 60 94 87 111 151 105 162 101 86 136 90 98 145 178 60 129 111 157 155 165 92 133 74 156 81
Character w a c h a n g e i n o n e q u a n i t y
Milliseconds 117 100 93 70 138 74 136 59 92 90 54 90 118 62 109 230 109 121 92 115 101 181 125 105 138
Character - -y -t -i t i t y i s r e l a t e d t o a
Milliseconds 79 259 134 162 124 294 71 108 126 54 139 102 103 100 95 122 95 121 101 184 105 122 36 109 57
Character c h a n g e i n a n o t h e r . H o w d
Milliseconds 120 94 120 143 52 102 86 72 96 124 45 135 118 109 74 107 66 118 96 77 208 96 103 580 154
Character o e s t h e s p e e d o f a f a l l i n
Milliseconds 72 81 119 104 94 91 56 114 102 62 124 108 207 90 159 106 88 69 82 76 87 81 98 158 112
Character g p -p o b j e c t c h a n g e a s a f u
Milliseconds 56 127 181 465 174 281 175 100 444 266 110 140 136 65 92 87 55 140 86 121 101 320 560 359 152
Character n c t i o n o f t i m e ? H o e -e w w -w d
Milliseconds 274 116 179 69 85 106 64 113 86 86 120 62 35 93 235 102 252 138 211 288 407 155 213 329 207
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 27 120 123 113 169 70 112 112 121 281 205 62 90 121 145 72 153 114 121 100 147 97 83 112 91
Character a b a r e -e r e l c h a n g e a s a f
Milliseconds 89 98 96 102 141 173 164 303 80 86 131 100 197 107 154 72 111 95 109 122 133 107 113 82 83
Character u n c t i o n o f t h e a m o u n t o f
Milliseconds 115 159 46 214 91 68 118 32 111 107 116 109 102 70 115 139 84 171 74 168 72 101 130 31 136
Character l i q u i c -c d p o u r e d i n t o t i -i -t
Milliseconds 131 318 272 80 132 162 428 150 83 141 177 217 122 89 174 105 82 174 129 75 68 176 87 295 125
Character i t ? W e s e e c h a n g e o c c u r i n
Milliseconds 220 89 297 161 178 215 123 87 210 167 140 122 135 141 79 121 72 90 177 208 138 148 130 93 84
Character g i -i - -g -n -i r i n g i n n e a r l y e v
Milliseconds 100 87 111 242 133 151 163 131 182 103 36 211 87 121 93 75 138 79 123 94 94 172 72 82 165
Character e r t h i n -n -i -h -t y t h i n g w e o b s e r
Milliseconds 81 152 194 104 115 90 303 114 290 115 548 322 84 139 78 102 92 116 85 146 234 93 169 192 133
Character v e i n t h e w o r l d a n d u n c i -i
Milliseconds 188 120 137 48 126 117 177 94 69 98 120 101 93 77 135 106 137 59 151 254 217 173 136 29 318
Character -c i v e r s e , a n d p o w e r f u l m o d
Milliseconds 117 244 375 94 153 136 130 140 57 104 239 115 85 135 121 78 72 132 190 60 85 101 243 123 115
Character e r n i n s t u r m -m -r -u r u m e n t s h e l
Milliseconds 157 114 138 43 102 109 117 157 119 113 133 312 149 132 190 82 206 48 146 92 138 102 187 72 101
Character p u s s - -s s e e m o r e a n d m o r
Milliseconds 170 125 121 101 130 36 317 121 169 73 159 145 68 122 123 83 87 66 167 94 102 93 121 73 66
Character e . I n t h e i -i -e i s s e c t i i -i o n
Milliseconds 59 120 91 184 99 70 124 111 93 118 277 124 230 103 110 75 156 218 247 85 184 476 256 119 103
Character w e i n d -d t r o d u c e t h e i d e a s
Milliseconds 90 123 151 130 96 23 378 339 177 93 514 213 129 159 109 150 51 134 52 167 41 152 132 181 118
Character o f a v e r a g e a n d i n s t a n t a n e
Milliseconds 153 109 89 66 153 115 133 217 115 109 91 283 126 86 89 115 103 86 126 95 140 103 264 139 165
Character r o u -u -o -r o u r r -r - -r s r a t e s o f
Milliseconds 164 236 114 285 134 133 312 125 134 102 115 403 128 146 258 137 95 108 164 111 159 156 182 104 107
Character c h n -n a n g e , a n d s h o w t h a t t
Milliseconds 245 76 257 312 280 103 135 165 178 89 120 117 66 105 183 121 121 109 135 113 83 137 42 290 127
Character h e y a r e e -e c l o s e l y r e l a t e d
Milliseconds 110 94 103 81 88 66 105 126 123 545 248 73 154 37 151 122 193 66 109 64 164 67 172 108 196
Character t o t h e s l o p e o f a c u r v e
Milliseconds 115 136 47 92 108 86 97 112 84 71 168 171 143 154 182 206 120 72 85 110 116 345 281 104 134
Character a t a o -o p o i n t P o n t h e c u r
Milliseconds 153 155 82 92 73 265 339 216 183 173 145 154 109 281 166 151 113 50 160 99 87 77 141 244 96
Character v e . A -A W e g i v e p r e c c -c i s e d
Milliseconds 260 84 171 125 662 473 103 309 184 131 124 112 95 119 327 147 85 344 175 354 206 105 143 149 186
Character e v e l o p m e n t - s o f t h e s e i m
Milliseconds 149 179 89 96 176 142 193 98 122 78 235 397 198 92 143 112 71 149 100 113 150 153 96 93 68
Character p o r t a n t c o n c e p t s i n t h e n
Milliseconds 138 125 101 195 187 141 77 129 149 96 79 156 176 105 125 132 176 70 135 66 149 85 94 79 135
Character e x t c h a p e -e t e r , b u t f o r n o
Milliseconds 13 261 317 171 191 127 100 218 123 348 91 159 46 210 69 175 115 133 83 130 109 105 90 126 110
Character w e -e w e u s e a n i n f o r m a l a p
Milliseconds 46 110 128 375 78 119 133 181 83 143 229 128 92 94 113 125 169 148 113 74 127 67 94 135 91
Character p o r -r -o r o a c h s o y o u w i l l s e
Milliseconds 120 200 181 287 114 191 64 104 187 107 50 137 60 106 365 118 107 60 149 41 156 134 61 82 155
Character e h o w t h e y l e a d n a t u r a l l y
Milliseconds 135 85 121 105 118 73 251 79 112 91 66 116 59 80 288 130 128 44 185 102 92 103 72 143 165
Character t o t h e m a i n i d e a o f t h s i
Milliseconds 79 107 73 44 120 90 115 66 161 103 75 90 55 116 88 141 217 190 181 128 85 113 94 172 37
Character -i -s i s c h a p t e r , t h e l i m i t .
Milliseconds 301 119 230 94 66 143 285 124 137 169 154 55 141 22 186 88 52 116 97 139 126 330 137 108 63
Character T h e i d e a o f a l i m i t p l a y s
Milliseconds 276 108 108 91 107 81 140 29 184 130 105 83 89 85 159 181 243 156 129 66 199 125 90 260 125
Character a f o u n d a t i o n - a l r o l e t h
Milliseconds 119 137 125 67 112 77 148 58 115 148 71 106 89 106 319 236 66 90 190 62 158 102 71 121 68
Character r o u g h o u t c a l c u l u s .
Milliseconds 142 0 81 106 98 83 87 77 111 143 136 0 635 129 99 254 96 97
WPM Timing
Seconds WPM
2.72 0
5.43 24.31
8.15 45.67
10.86 60.77
13.58 60.11
16.29 68.5
19.01 72.61
21.72 77.34
24.44 75.62
27.15 74.69
29.87 72.72
32.58 74.4
35.3 75.47
38.01 77.97
40.73 77.49
43.44 76.51
46.16 76.95
48.87 75.62
51.59 73.74
54.3 74.47
57.02 74.29
59.73 74.93
62.45 74.36
65.16 74.21
67.88 75.13
70.6 74.45
73.31 73.82
76.03 74.5
78.74 73.76
81.46 72.92
84.17 72.85
86.89 72.92
89.6 73.93
92.32 74.09
95.03 73.74
97.75 73.17
100.46 72.62
103.18 72.46
105.89 73.21
108.61 73.48
111.32 73.73
114.04 73.87
116.75 73.69
119.47 74.43
122.18 75.33
124.9 75.04
127.61 75.51
130.33 75.78
133.04 76.12
135.76 76.37