lemon (lemondemon)

Race #14484

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Official speed 77.74 wpm (133.37 seconds elapsed during race)
Without ending ping 77.94 wpm (348 ms delay sending score to TypeRacer’s server)
Timerless 78.17 wpm (381 ms elapsed before first character typed; 132.64 seconds elapsed during race)
Timerless minus one 78.08 wpm, ignoring the first character typed
Race Start October 8, 2023 2:41:03pm UTC
Race Finish October 8, 2023 2:43:16pm UTC
Outcome Win (1 of 2)
Accuracy 96.0%
Points 209.89
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 too l taht hthat helps us understand hwo a how a change in one quantity is related to a change in another . . How does the speed of a falling objec tcht chagenge as a functinon of time. H? hHow does the level of water in a bareeelrel change as a ufunction of the amounti of liquid porured into it. ? We see change occuringring in eannealry earnearly everhytiything we observe in the world and univsereerse, nd and powerful modern instruments help us see more and more. In this section we incttorroroduce the idea of s of aversageaverage and instuantaneous rates of change, and show that they are closely related to the slop of slope of a cursveve at a point P on the curse. ve. We give precise developments of these important concepts in the next chanpter, but for now we use an informal approchach so you will see how they ladlead canaturally to the main idea of this chapter, the limit. The idea of laa limit plays a foundatinoonal role through =out calculus.
Timing
Character C a l c u l u s i s a t o o - l t a h t
Milliseconds 381 179 163 210 122 960 163 119 43 94 138 116 101 139 92 117 93 299 328 151 60 57 91 16 62
Character h -t -a -h -t - -h t h a t h e l p s u s u n d
Milliseconds 112 132 219 0 0 0 0 0 156 58 42 77 52 50 160 66 437 132 0 123 122 0 253 159 74
Character e r s t a n d h w o a -h -w -o - -a - h o w a
Milliseconds 444 85 130 113 44 87 78 70 92 46 20 86 104 99 281 0 0 0 0 0 165 44 26 77 244
Character c h a n g e i n o n e q u a n t i t y i
Milliseconds 148 106 83 30 301 333 76 105 103 59 77 102 77 57 46 169 121 149 121 268 88 120 89 91 378
Character s r e l a t e d t o a c h a n g e i n
Milliseconds 73 63 113 76 76 135 62 60 135 73 155 69 47 74 106 103 76 58 63 58 44 77 59 64 91
Character a n o t h e r . - -. - . H o w d o e s t
Milliseconds 230 69 41 45 46 79 25 60 140 116 248 113 139 195 89 184 158 103 363 124 93 39 73 27 216
Character h e s p e e d o f a f a l l i n g o b j
Milliseconds 40 67 53 73 94 74 133 76 223 126 150 45 121 146 181 92 46 131 89 33 86 31 166 133 168
Character e c t c h -h -c -t - t c h a g e -e -g n g e a s
Milliseconds 73 134 152 0 193 63 268 134 166 256 148 75 121 103 31 122 81 283 120 150 100 76 74 121 106
Character a f u n c t i n -n o n o f t i m e . H -H
Milliseconds 14 151 43 149 92 405 177 167 47 106 479 170 71 29 137 89 32 132 43 64 26 180 63 180 254
Character - -. ? h -h H o w d o e s t h e l e v e l
Milliseconds 120 119 713 80 260 382 175 198 115 80 170 90 83 51 114 93 47 48 29 170 70 126 40 91 16
Character o f w a t e r i n a b a r e e e l -l -e -e -e
Milliseconds 348 58 137 135 74 41 92 58 46 106 13 116 174 87 73 635 148 89 119 149 99 252 137 117 133
Character r e l c h a n g e a s a u -u f u n c t i o
Milliseconds 87 62 92 117 543 59 42 90 0 46 129 55 101 63 318 189 167 241 89 136 183 215 467 130 6
Character n o f t h e a m o u n t i -i o f l i q u
Milliseconds 105 324 9 157 132 86 59 73 29 126 104 87 79 118 93 85 384 119 134 78 24 85 90 164 79
Character i d p o r -r u r e d i n t o i t . - -. ?
Milliseconds 56 251 80 184 57 258 318 165 24 61 136 91 147 28 109 56 77 103 105 140 43 332 162 337 102
Character W e s e e c h a n g e o c c u r i n g -g -n -i
Milliseconds 238 136 60 116 141 100 58 215 71 0 152 0 28 77 378 282 366 135 99 72 46 61 315 157 98
Character r i n g i n e a -a n -n -e n e a l r y -n -e -a -l
Milliseconds 123 90 56 46 76 213 40 59 218 92 355 187 255 110 142 80 47 45 91 92 63 361 0 0 0
Character -r -y - e a r -r -a -e n e a r l y e v e r h y t i -i
Milliseconds 0 0 0 160 88 59 360 122 133 138 42 74 47 59 166 60 153 136 57 559 163 11 124 27 291
Character -t -y -h y t h i n g w e o b s e r v e i n t
Milliseconds 147 149 105 279 249 43 56 106 13 94 215 58 57 181 167 133 88 91 184 74 94 38 59 111 74
Character h e w o r l d a n d u n i v s e r -r -e e -e -s
Milliseconds 88 24 77 89 45 106 79 55 90 76 80 55 91 364 116 44 74 465 34 115 336 140 134 165 136
Character e r s e , n d -n -d - a n d p o w e r f u l
Milliseconds 114 92 350 69 141 89 145 72 46 452 0 0 117 59 76 75 181 212 119 26 122 105 529 86 104
Character m o d e r n i n s t r u m e n t s h e l p u
Milliseconds 195 75 194 210 61 105 134 166 300 151 119 254 172 172 91 75 95 177 122 104 131 112 26 92 75
Character s s e e m o r e a n d m o r e . I n t
Milliseconds 75 59 118 106 148 106 106 91 45 25 77 121 14 92 61 135 45 138 24 123 61 185 103 91 283
Character h i s s e c t i o n w e i n c t -t -c t o r -r
Milliseconds 28 44 73 62 250 81 150 151 464 272 88 88 94 24 78 101 62 165 118 333 134 75 152 42 364
Character r o -o -r -o r o d u c e t h e i d e a o f -
Milliseconds 198 116 284 133 353 85 89 133 181 122 155 68 190 0 81 46 87 270 215 56 120 46 89 46 395
Character -f -o - s o f a v e r s a g e -a -v -e -r -s -a -g -e a
Milliseconds 130 141 135 138 39 117 126 135 57 164 89 75 105 0 186 39 328 0 0 0 0 0 0 0 663
Character v e r a g e a n d i n s t u -u a n t a n e o u
Milliseconds 118 76 90 88 187 39 107 94 39 91 74 92 74 109 129 157 317 104 53 170 420 342 271 87 44
Character s r a t e s o f c h a n g e , a n d s h
Milliseconds 123 86 445 65 90 91 90 107 103 91 64 286 54 74 61 29 46 122 91 90 72 31 72 123 91
Character o w t h a t t h e y a r e c l o s e l y
Milliseconds 74 46 12 91 74 75 59 46 108 73 61 91 11 93 135 13 45 170 56 134 19 42 106 152 43
Character r e l a t e d t o t h e s l o p o f -s -l
Milliseconds 322 53 188 84 87 75 105 91 244 54 60 63 87 60 30 279 360 145 71 79 165 94 70 587 0
Character -o -p - -o -f - s l o p e o f a c u r s v e -e -v
Milliseconds 0 0 0 0 0 0 167 55 171 113 0 374 129 97 50 174 120 160 231 121 134 185 70 200 132
Character -s v e a t a p o i n t P o n t h e c
Milliseconds 125 97 60 108 87 104 75 413 69 91 75 59 0 44 76 533 66 156 70 49 116 47 57 29 187
Character u r s e . - -. -e -s v e . W e g i v e p r e
Milliseconds 61 38 139 70 141 71 255 119 158 102 55 60 154 120 147 128 57 116 94 44 41 75 276 77 66
Character c i s e d e v e l o p m e n t s o f t h e s
Milliseconds 188 66 126 28 58 195 158 115 58 45 170 9 183 88 60 74 92 59 61 89 60 139 56 89 168
Character e i m p o r t a n t c o n c e p t s i n t
Milliseconds 32 56 137 91 136 25 90 156 68 0 91 238 399 112 47 170 102 118 102 285 137 61 88 131 18
Character h e n e x t c h a n -n p t e r , b u t f o
Milliseconds 123 29 122 213 86 212 88 30 308 49 49 102 441 180 91 117 57 216 85 89 157 53 12 243 47
Character r n o w w e u s e a n i n f o r m a l
Milliseconds 92 40 92 59 46 45 152 40 47 141 68 47 29 196 30 71 92 107 307 87 88 27 143 328 117
Character a p p r o c h -h -c a c h s o y o u w i l l
Milliseconds 336 115 140 64 155 121 165 275 101 70 137 90 89 181 72 47 212 42 92 28 119 75 135 125 56
Character s e e h o w t h e y l a d -l -a -d l e a d c
Milliseconds 198 149 57 109 118 59 44 62 149 45 73 60 31 158 131 151 375 0 0 181 25 61 90 108 177
Character a -a -c n a t u r a l l y t o t h e m a i n
Milliseconds 198 346 145 203 40 118 73 63 377 87 136 123 25 249 82 91 58 59 60 32 225 107 40 47 88
Character i d e a o f t h i s c h a p t e r , t h e
Milliseconds 166 91 152 43 14 305 134 62 100 0 106 28 76 384 53 120 411 113 156 39 151 90 309 18 76
Character l i m i t . T h e i d e a o f l a -a -l a
Milliseconds 62 57 77 207 138 138 289 82 134 90 76 14 90 91 439 85 107 103 91 62 378 345 242 103 90
Character l i m i t p l a y s a f o u n d a t i n o
Milliseconds 12 149 153 117 425 69 107 205 141 43 105 78 85 91 121 106 371 47 154 41 75 442 544 63 76
Character -o -n o n a l r o l e t h r o u g h = -= - o u
Milliseconds 392 131 185 26 152 62 122 103 103 167 105 75 315 61 88 14 59 75 75 28 620 388 135 179 60
Character t c a l c u l u s .
Milliseconds 90 89 374 61 324 432 146 103 364 132 105
WPM Timing
Seconds WPM
2.67 49.49
5.33 56.24
8 65.98
10.67 69.73
13.34 75.58
16 80.98
18.67 84.19
21.34 81.54
24.01 80.98
26.67 78.73
29.34 77.3
32.01 79.1
34.68 77.86
37.34 76.16
40.01 77.98
42.68 77.61
45.34 77.8
48.01 76.23
50.68 73.17
53.35 71.31
56.01 74.34
58.68 73
61.35 72.57
64.02 72.54
66.68 74.86
69.35 75.27
72.02 73.65
74.69 73.43
77.35 71.83
80.02 72.28
82.69 73
85.36 75.36
88.02 75.12
90.69 74.76
93.36 74.55
96.02 74.73
98.69 76.12
101.36 76.95
104.03 76.94
106.69 78.39
109.36 77.91
112.03 79.05
114.7 78.26
117.36 78.83
120.03 79.28
122.7 79.22
125.37 79.16
128.03 78.54
130.7 78.13
133.37 77.74