Stressed by a Books (sbab15)

Race #4709

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Official speed 67.62 wpm (153.33 seconds elapsed during race)
Without ending ping 67.74 wpm (261 ms delay sending score to TypeRacer’s server)
Timerless 68.46 wpm (1,612 ms elapsed before first character typed; 151.45 seconds elapsed during race)
Timerless minus one 68.38 wpm, ignoring the first character typed
Race Start February 7, 2025 7:42:07pm UTC
Race Finish February 7, 2025 7:44:40pm UTC
Outcome No win (4 of 5)
Opponents 2. glassbead (77.43 wpm)
Accuracy 95.0%
Points 182.56
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 .Calcuoullus is a tool that helps us understand how a change in one uquantity is related to a changvbee in another. how How sddoes the speed of a falling object change a ss a function of time? How does the level of water ina a barrel change as a function of the amount of liquid po9uured oiinjto into it? We see change occuring ouccurinrujkgnung riing in tnearly evertyrhithing we obseverve in the world and universe, and powerful modern uinstruments helpe u up s see more asnd mand more. In this section we introduce the dieideas of afverage and intanstantaneous rates of change, adn nd show that they are closely related to hthe slope of a curve oat a pioint P o nteon the curve. We give precise developemmnetents of thes ie important concepts in the next chapter. , but f0ror now we use tain informal approach so you will se howe how they lead naturally to the main dieidea of this chapter, the limit. The idea of a limit plays a foundational olrole throughtout claacllculous.
Timing
Character . -. C a l c u o -o u l -l -u l u s i s a t o o
Milliseconds 1612 306 331 170 131 213 135 130 467 220 357 200 132 153 119 282 86 131 83 69 143 29 391 72 144
Character l t h a t h e l p s u s u n d e r s t a n
Milliseconds 152 114 102 90 80 64 68 83 142 58 170 174 26 230 119 68 113 149 70 133 99 395 105 94 81
Character d h o w a c h a n g e i n o n e u -u q
Milliseconds 123 92 257 89 56 70 185 184 180 170 116 100 318 128 86 136 127 20 231 139 102 32 252 409 66
Character u a n t i t y i s r e l a t e d t o a c
Milliseconds 97 171 403 126 105 141 161 115 135 115 87 205 73 150 120 141 105 217 36 147 153 117 84 115 233
Character h a n g v b e -e -b -v e i n a n o t h e r . h
Milliseconds 67 88 75 94 0 0 95 346 149 149 103 102 66 168 113 163 94 79 102 65 129 76 34 108 293
Character o w -h -o -w - H o w s d -d -s d o e s t h e s
Milliseconds 124 131 53 414 0 0 0 455 164 147 45 158 283 186 146 54 99 80 139 107 123 70 116 27 95
Character p e e d o f a f a l l i n g o b j e c t
Milliseconds 124 85 112 122 86 96 98 72 108 100 405 252 154 195 102 145 64 63 126 33 151 135 161 100 68
Character c h a n g e a s -s - s a f u n c t i o n
Milliseconds 135 108 157 28 49 104 65 107 118 65 380 152 69 94 54 112 173 149 277 207 187 60 86 84 146
Character o f t i m e ? H o w d o e s t h e l e v
Milliseconds 148 84 83 100 106 73 138 233 234 485 250 98 67 134 164 87 118 84 211 132 33 86 175 75 123
Character e l o f w a t e r i n a - -a a b a r r
Milliseconds 59 54 129 104 82 80 252 171 48 133 116 50 129 86 353 100 267 154 232 241 105 149 104 126 127
Character e l c h a n g e a s a f u n c t i o n o
Milliseconds 181 127 168 139 114 83 96 62 85 106 117 148 87 105 110 172 42 194 23 108 93 79 98 121 102
Character f t h e a m o u n t o f l i q u i d p o
Milliseconds 95 67 222 78 86 74 95 98 96 405 154 95 184 103 102 58 98 23 498 139 122 327 94 251 62
Character 9 u -u -9 u r e d o i -i -o i n j t o -i -n -j -t -o -
Milliseconds 120 121 313 131 147 177 91 151 90 81 85 199 132 103 131 14 87 104 111 334 0 0 0 0 0
Character i n t o i t ? W e s e e c h a n g e o c
Milliseconds 266 116 154 65 121 148 125 190 135 306 144 81 95 51 120 73 168 135 62 84 39 103 68 99 399
Character c u r i n g -o -c -c -u -r -i -n -g - o u -u c c u r i n
Milliseconds 118 82 103 133 134 101 83 399 0 0 0 0 0 0 0 0 338 144 382 134 133 83 97 121 132
Character -n -i r u j k g n -n -g -k -j -u u n g - -g -n -u -r r i i
Milliseconds 287 151 132 113 188 11 104 16 268 136 145 155 280 167 153 98 99 282 133 153 213 215 640 121 229
Character -i n g i n t -t n e a r l y e v e r t -t y r h
Milliseconds 303 138 102 115 54 113 61 136 272 133 101 63 71 94 113 172 154 114 89 80 227 437 204 99 129
Character i -i -h -r t h i n g w e o b s e v e -e -v r v e
Milliseconds 82 279 176 130 89 65 67 127 72 91 87 64 57 179 136 305 71 254 94 325 176 59 164 97 111
Character i n t h e w o r l d a n d u n i v e r s e
Milliseconds 156 162 44 25 96 43 84 109 104 196 524 152 130 171 65 130 19 331 307 106 266 63 155 102 109
Character , a n d p o w e r f u l m o d e r n u -u i
Milliseconds 67 144 79 79 68 69 120 96 188 13 67 203 82 133 114 286 52 168 148 84 73 129 297 307 281
Character n s t r u m e n t s h e l p e u -u - -e u p
Milliseconds 84 82 49 148 119 330 130 91 95 136 116 313 126 34 183 138 101 301 226 155 169 67 95 332 270
Character - -p s s e e m o r e a s n d m -m -a -s -n -d -
Milliseconds 268 130 82 55 136 58 196 45 206 24 145 0 36 102 17 125 19 55 133 378 148 0 0 0 0
Character a n d m o r e . I n t h i s s e c t i o n
Milliseconds 396 65 114 62 86 68 49 48 120 135 170 152 68 63 86 48 110 88 270 50 218 146 531 103 84
Character w e i n t r o d u c e t h e d i e -e -i -d i
Milliseconds 140 90 103 25 172 135 727 103 203 214 64 152 117 66 101 63 90 29 180 40 86 329 163 159 220
Character d e a s o f a f -f v e r a g e a n d i n t
Milliseconds 26 159 77 89 163 116 89 48 233 101 386 164 104 118 191 108 64 80 224 86 106 54 103 114 550
Character a n -n -a -t s t a n t a n e o u s r a t e s o f
Milliseconds 147 153 236 150 134 67 67 557 89 252 352 115 201 356 91 90 85 97 94 142 54 160 118 109 90
Character c h a n g e , a d n - -n -d n d s h o w t
Milliseconds 58 122 116 134 46 148 31 52 68 91 95 51 41 353 139 131 169 94 59 160 475 82 116 52 161
Character h a t t h e y a r e c l o s e l y r e l a
Milliseconds 69 84 66 48 102 61 132 110 109 39 81 69 47 150 138 198 115 173 446 154 97 108 20 144 99
Character t e d t o h -h t h e s l o p e o f a c
Milliseconds 87 112 158 134 56 58 97 146 252 81 103 66 79 140 135 499 119 166 82 249 118 65 99 170 259
Character u r v e o -o a t a p i -i o i n t P o n
Milliseconds 59 148 257 63 98 176 304 19 123 28 412 35 167 148 338 167 250 234 143 115 374 239 164 165 18
Character t e -n -t -e -o - o n t h e c u r v e . W e g
Milliseconds 165 68 316 0 0 135 0 300 109 90 74 57 98 34 169 144 55 240 50 115 159 202 198 99 44
Character i v e p r e c i s e d e v e l o p e m -m -e m n
Milliseconds 156 168 97 96 117 118 207 410 119 83 66 72 183 114 151 175 290 233 177 273 178 323 133 133 195
Character e t -t -e -n e n t s o f t h e s i -i - e i m
Milliseconds 120 152 249 172 132 318 115 98 108 86 72 169 0 73 106 97 85 86 212 391 115 132 67 101 152
Character p o r t a n t c o n c e p t s i n t h e n
Milliseconds 116 149 170 165 67 148 129 86 186 49 115 86 115 321 360 110 147 120 200 61 44 98 53 57 210
Character e x t c h a p t e r . - -. , b u t f 0 r -r
Milliseconds 96 180 534 75 166 81 95 174 500 117 135 79 118 417 157 514 163 270 100 101 85 147 134 173 205
Character -0 o r n o w w e u s e t -t a i -i n i n f
Milliseconds 370 141 167 108 149 51 67 69 148 95 51 438 78 51 70 83 326 98 109 326 123 118 132 120 145
Character o r m a l a p p r o a c h s o y o u w i l
Milliseconds 110 123 100 110 148 132 259 121 136 112 295 91 148 150 99 150 197 149 141 97 47 51 66 66 145
Character l s e h o w -w -o -h - e h o w t h e y l e
Milliseconds 107 82 162 18 87 203 80 53 309 140 165 148 112 39 147 74 112 66 397 54 83 82 103 146 66
Character a d n a t u r a l l y t o t h e m a i n
Milliseconds 130 71 83 121 61 70 111 101 57 97 117 111 90 237 69 65 215 130 62 89 151 92 121 103 37
Character d i e -e -i -d i d e a o f t h i s c h a p t e
Milliseconds 232 28 94 403 168 132 150 102 535 208 134 143 119 32 143 101 72 101 64 184 99 88 140 259 113
Character r , t h e l i m i t . T h e i d e a o f
Milliseconds 81 72 78 123 20 88 38 300 77 226 92 137 99 254 210 119 74 27 513 48 159 87 154 168 114
Character a l i m i t p l a y s a f o u n d a t i
Milliseconds 85 201 128 212 59 257 81 165 112 222 198 147 120 115 85 84 131 116 172 131 157 77 63 115 70
Character o n a l o l -l -o r o l e t h r o u g h t -t o u
Milliseconds 54 116 434 152 143 291 180 304 147 251 84 133 94 111 52 93 137 92 52 96 104 98 470 166 98
Character t c l a -a -l a c l -l -c l c u l o -o u s .
Milliseconds 148 40 228 81 89 371 99 83 195 100 367 131 143 160 277 171 236 322 127 114 104
WPM Timing
Seconds WPM
3.07 19.57
6.13 33.26
9.2 54.78
12.27 62.61
15.33 64.18
18.4 67.18
21.47 63.17
24.53 67.01
27.6 70
30.67 70.44
33.73 73.64
36.8 73.05
39.87 75.25
42.93 74.07
46 72.26
49.06 71.42
52.13 68.37
55.2 65
58.26 65.08
61.33 64.57
64.4 65.41
67.46 66.52
70.53 66.69
73.6 65.38
76.66 65.74
79.73 66.37
82.8 66.23
85.86 66.52
88.93 65.31
92 66.13
95.06 67.28
98.13 67.62
101.2 67.83
104.26 66.87
107.33 67.53
110.4 67.18
113.46 66.74
116.53 66.83
119.6 67.03
122.66 66.33
125.73 66.24
128.8 66.71
131.86 66.71
134.93 67.86
137.99 67.65
141.06 68.23
144.13 68.36
147.19 68.4
150.26 68.36
153.33 67.62