K (ivory_lagi)

Race #4014

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Official speed 65.93 wpm (157.26 seconds elapsed during race)
Without ending ping 66.01 wpm (199 ms delay sending score to TypeRacer’s server)
Timerless 66.42 wpm (969 ms elapsed before first character typed; 156.09 seconds elapsed during race)
Timerless minus one 66.35 wpm, ignoring the first character typed
Race Start September 27, 2023 4:37:07am UTC
Race Finish September 27, 2023 4:39:45am UTC
Outcome No win (3 of 4)
Opponents 4. ferrorobroom (61.12 wpm)
Accuracy 95.6%
Points 178.01
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 CAlalculus is a tool that helpos s sus understand how a change in one quanittytity is related to a change in another. How does th se speed of a falling obeject change as a funstction fo tof tiemme? HOwow does the elvelolevel of water ina b a barrel change as a function of the amount of liquied poured into it? We see change occuring ring in nearly everything we observe in the world and universe, and powereful modern instruments help us see more an dd more. In this essection wer in introduce the ideas of average and instantaneous rated s es of change, and show that thye aey are closely related to tehn she slope of a curve at a point P on the cureve. We give precise developments of these important concepts int eh n the nect ct cxt chapter, but for now we use an informal approcaach so you will see how they lead natrtuarrally to the main idead of this chapter, the minlimit. The idea of a mlimit plays a foundational rolse te thougroughout calculus.
Timing
Character C A l -l -A a l c u l u s i s a t o o l t h
Milliseconds 969 174 169 479 136 328 131 169 175 261 163 142 105 146 74 121 153 144 133 72 128 155 149 114 76
Character a t h e l p o s - -s -o s s -s u s u n d e r
Milliseconds 65 63 84 135 86 69 153 16 88 120 325 133 127 198 76 340 306 348 120 94 149 91 108 134 94
Character s t a n d h o w a c h a n g e i n o n e
Milliseconds 134 79 297 232 102 100 165 100 83 79 125 43 155 63 108 52 95 128 108 514 65 161 120 66 101
Character q u a n i t t y -y -t -t -i t i t y i s r e l a
Milliseconds 113 449 102 167 77 171 15 138 83 401 140 95 348 187 71 72 82 217 123 48 104 111 72 92 112
Character t e d t o a c h a n g e i n a n o t h e
Milliseconds 129 109 203 83 138 15 126 241 209 124 173 58 135 151 56 139 472 103 147 40 88 81 79 97 61
Character r . H o w d o e s t h s -s - e s p e e d
Milliseconds 75 135 72 196 101 124 83 178 100 103 103 131 150 17 181 103 367 108 140 118 96 131 87 138 197
Character o f a f a l l i n g o b e -e j e c t c h
Milliseconds 95 162 99 159 66 164 172 114 122 130 149 82 55 116 110 279 145 356 202 103 90 175 120 183 121
Character a n g e a s a f u n s t -t -s c t i o n f o
Milliseconds 55 112 113 93 138 265 175 144 79 75 563 98 123 105 311 221 131 198 213 51 105 42 204 144 8
Character t -t - -o -f o f t i e m -m -e m e ? H O w -w -O o
Milliseconds 153 90 299 126 117 114 316 115 161 129 121 11 89 421 133 516 76 205 163 228 116 249 319 97 192
Character w d o e s t h e e l v e -e -v -l l o -o -l -e l e
Milliseconds 95 75 143 101 114 110 174 84 88 127 101 158 42 151 77 394 135 220 320 11 235 89 133 222 81
Character v e l o f w a t e r i n a b -b - - -a a
Milliseconds 128 476 437 168 115 74 94 184 111 97 123 139 91 169 99 155 17 140 197 273 125 110 259 246 96
Character b a r r e l c h a n g e a s a f u n c t
Milliseconds 56 175 77 181 196 96 139 154 155 58 99 54 91 126 141 36 216 140 196 160 523 78 67 74 184
Character i o n o f t h e a m o u n t o f l i q u
Milliseconds 30 88 82 157 155 60 105 106 42 49 126 99 72 108 107 168 99 105 138 16 142 193 717 168 146
Character i e -e d p o u r e d i n t o i t ? W e s
Milliseconds 79 215 358 113 110 149 853 76 160 115 225 195 464 87 128 60 154 130 46 312 155 420 316 139 92
Character e e c h a n g e o c c u r i n g - -g -n -i r i
Milliseconds 188 121 105 138 51 50 121 95 94 104 195 113 142 96 122 115 79 90 96 333 135 114 125 249 127
Character n g i n n e a r l y e v e r y t h i n g w
Milliseconds 85 68 95 144 72 156 125 57 103 64 215 134 110 115 159 119 94 95 165 75 98 89 72 118 99
Character e o b s e r v e i n t h e w o r l d a n
Milliseconds 101 136 229 304 192 121 138 263 128 88 171 81 161 275 71 42 124 114 92 70 142 115 105 112 91
Character d u n i v e r s e , a n d p o w e r e -e f u
Milliseconds 85 82 220 64 128 438 154 146 149 168 210 86 78 96 135 49 278 164 88 81 101 129 469 108 127
Character l m o d e r n i n s t r u m e n t s h e l p
Milliseconds 115 129 193 151 220 188 76 332 171 148 93 267 178 169 139 179 153 96 91 140 151 206 135 90 196
Character u s s e e m o r e a n d -d - d m o r e
Milliseconds 387 142 137 132 148 195 122 125 160 72 97 69 45 148 21 176 13 440 114 150 31 142 115 48 47
Character . I n t h i s e s -s -e s e c t i o n w e r
Milliseconds 206 125 225 161 166 86 91 72 144 80 332 413 515 145 62 77 187 275 72 86 82 103 112 83 98
Character i n -n -i - -r i n t r o d u c e t h e i d e
Milliseconds 60 137 92 282 133 127 130 230 103 79 105 158 138 642 136 145 97 122 282 48 53 122 143 146 180
Character a s o f a v e r a g e a n d i n s t a n t
Milliseconds 112 213 157 168 108 93 267 406 179 104 199 142 123 92 184 110 106 91 139 80 76 417 168 282 251
Character a n e o u s r a t e d - -d -e s - -s e s o f
Milliseconds 257 236 222 475 105 159 158 113 99 142 100 251 196 377 135 120 99 190 244 116 94 127 76 162 110
Character c h a n g e , a n d s h o w t h a t t h
Milliseconds 161 269 103 14 155 80 94 388 88 165 78 105 79 255 71 57 140 108 88 93 55 67 88 131 83
Character y e a -a - -e -y e y a r e c l o s e l y r e
Milliseconds 150 26 81 179 301 125 119 344 122 99 99 89 82 70 92 158 95 139 60 121 191 152 134 137 95
Character l a t e d t o t e h n s -s - -n -h -e h e s l
Milliseconds 153 155 144 93 199 118 119 58 116 56 99 8 190 13 71 301 121 111 293 263 226 76 91 153 80
Character o p e o f a c u r v e a t a p o i n t
Milliseconds 134 187 146 424 298 165 119 107 50 463 122 120 279 149 146 211 129 121 46 110 174 126 159 63 80
Character P o n t h e c u r e -e v e . W e g i v
Milliseconds 119 188 208 251 24 132 88 37 72 134 142 96 119 146 397 86 99 122 38 305 221 127 512 55 185
Character e p r e c i s e d e v e l o p m e n t s o f
Milliseconds 114 111 221 112 77 152 144 265 127 117 392 170 233 104 132 158 161 176 89 93 53 203 481 151 100
Character t h e s e i m p o r t a n t c o n c e p t s
Milliseconds 106 140 88 18 216 98 194 199 103 91 137 317 264 136 161 151 148 250 170 97 254 141 187 206 216
Character i n t e h - -h -e - -t -n n t h e n e c t
Milliseconds 189 171 65 177 0 99 40 170 324 135 102 122 137 120 617 172 306 65 65 115 151 64 112 212 98
Character - -t -c c t c -c - -t -c x t c h a p t e r , b u
Milliseconds 382 122 130 69 182 78 133 290 119 127 116 85 146 153 342 114 32 184 215 99 248 294 103 297 110
Character t f o r n o w w e u s e a n i n f o r
Milliseconds 84 103 125 89 101 89 128 87 70 101 122 93 123 200 31 112 132 127 37 191 132 82 158 83 108
Character m a l a p p r o c a -a -c a c h s o y o u w
Milliseconds 120 106 147 131 103 106 124 81 118 186 102 477 117 169 102 187 131 211 101 112 104 105 108 23 135
Character i l l s e e h o w t h e y l e a d n a t
Milliseconds 83 151 129 37 107 156 439 132 185 71 94 133 106 75 91 58 103 121 126 88 184 139 166 61 182
Character r t -t -r u a r -r -a r a l l y t o t h e m a i
Milliseconds 187 13 514 119 424 115 211 303 116 69 93 64 112 154 76 126 54 165 63 73 30 129 128 76 114
Character n i d e a d -d o f t h i s c h a p t e r ,
Milliseconds 83 137 190 156 144 116 521 342 105 127 85 140 92 76 91 82 102 126 88 30 209 181 132 116 185
Character t h e m i n -n -i -m l i m i t . T h e i d e
Milliseconds 96 95 56 76 112 152 112 240 264 126 117 424 165 36 115 136 473 113 506 214 69 105 145 87 177
Character a o f a m -m l i m i t p l a y s a f o
Milliseconds 84 467 222 203 121 110 74 156 536 450 85 92 97 116 113 295 82 149 90 158 113 103 113 435 122
Character u n d a t i o n a l r o l s e t -t - -e -s e t
Milliseconds 76 184 9 116 139 67 71 45 156 122 142 231 135 147 126 46 83 136 316 132 119 101 115 129 114
Character h o u g -g -u -o r o u g h o u t c a l c u l u s .
Milliseconds 83 94 116 152 305 128 112 139 496 123 127 83 156 88 106 122 183 119 313 462 116 385 324 232 129
WPM Timing
Seconds WPM
3.15 22.89
6.29 53.42
9.44 55.96
12.58 64.86
15.73 63.34
18.87 68.68
22.02 69.77
25.16 70.11
28.31 68.68
31.45 66.01
34.6 64.86
37.74 61.68
40.89 60.75
44.03 62.41
47.18 65.12
50.32 63.67
53.47 63.74
56.61 64.01
59.76 65.66
62.9 66.96
66.05 67.22
69.19 67.29
72.34 68.01
75.48 68.04
78.63 66.85
81.77 67.06
84.92 67.41
88.06 66.91
91.21 66.18
94.35 66.26
97.5 67.2
100.64 66.41
103.79 66.6
106.94 66.99
110.08 66.93
113.23 67.41
116.37 67.34
119.52 66.37
122.66 65.35
125.81 66.01
128.95 66.16
132.1 66.77
135.24 66.28
138.39 66.68
141.53 67.07
144.68 66.69
147.82 66.4
150.97 66.93
154.11 66.03
157.26 65.93