Neppiness (neppiness)

Race #3484

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Official speed 79.63 wpm (130.20 seconds elapsed during race)
Without ending ping 79.72 wpm (143 ms delay sending score to TypeRacer’s server)
Timerless 79.87 wpm (254 ms elapsed before first character typed; 129.81 seconds elapsed during race)
Timerless minus one 79.78 wpm, ignoring the first character typed
Race Start November 14, 2023 7:18:55am UTC
Race Finish November 14, 2023 7:21:05am UTC
Outcome No win (3 of 5)
Opponents 1. delfador42 (88.10 wpm)
2. thun10121 (82.91 wpm)
Accuracy 95.9%
Points 215.00
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 htheps lps us understand how a change in one quantity is related to a chnageange in another. How does the spped eed of a falling aobject change as a function of time? How does the level of water in a brarrel change as a function of the amoung ot of liequiedd pourseed in toto it? We cssee change occurring in nearly everything we observe in the world and universe, and powerful meodern instrucments hlepelp us eseseem more and more> I. IN n thi sss sections we introduce the ideas of average and instatntaneous reateates of change, and show that they are closely related to the slope of a curve at ta point P on the curve, . We give precise developments of these important concept s in the nxt ext ahchapter, but for wonow ew we use an infiomrrammal appraooach s o you will se e how they lead naturally to the main idead of this chapter, the limit. The idea of a limit plays a foundational role throughout calculsus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 254 119 56 285 121 56 140 155 158 158 33 138 147 145 206 124 126 160 103 107 59 63 59 35 182
Character t -t -h h e p s - -s -p l p s u s u n d e r s t
Milliseconds 52 263 96 473 74 85 96 168 260 108 127 186 151 109 106 136 86 88 288 148 79 158 91 238 93
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 116 43 127 86 151 54 71 85 109 66 227 59 121 61 145 78 114 143 95 69 199 54 83 97 420
Character u a n t i t y i s r e l a t e d t o a c
Milliseconds 75 634 48 158 131 138 82 225 108 107 65 353 72 127 102 86 60 145 117 155 55 82 144 88 229
Character h n a g e -e -g -a -n a n g e i n a n o t h e r .
Milliseconds 46 158 41 85 86 168 118 140 96 96 41 63 64 80 207 209 112 253 52 67 102 53 74 75 88
Character H o w d o e s t h e s p p e d - -d -e -p e
Milliseconds 86 160 58 95 125 119 70 75 104 81 438 45 56 69 202 105 96 83 127 106 191 126 135 120 98
Character e d o f a f a l l i n g a -a o b j e c t
Milliseconds 112 147 90 152 90 44 134 72 254 51 126 476 109 111 84 115 162 303 754 95 90 79 159 80 106
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 176 59 122 23 130 60 126 83 105 86 101 72 162 59 141 70 109 44 63 56 95 104 52 126 107
Character i m e ? H o w d o e s t h e l e v e l o
Milliseconds 92 49 78 179 74 193 60 155 115 176 90 49 78 93 90 47 106 42 283 73 100 77 135 161 273
Character f w a t e r i n a b r -r a r r e l c h a
Milliseconds 92 95 277 68 74 110 80 61 345 95 108 78 84 228 150 516 100 118 487 68 79 101 179 50 92
Character n g e a s a f u n c t i o n o f t h e
Milliseconds 53 99 79 115 125 98 97 81 83 198 64 139 80 107 55 51 70 96 78 79 83 108 27 113 34
Character a m o u n g o -o - -g t o f l i e -e q u i e d
Milliseconds 155 122 132 107 165 99 76 121 230 127 127 132 87 398 91 91 255 61 265 343 99 67 53 83 243
Character -d -e d p o u r s e -e -s e d i n t o -o -t - t o
Milliseconds 279 132 106 64 210 345 53 103 150 87 314 137 48 125 68 125 69 115 58 112 226 126 121 102 48
Character i t ? W e c s -s -c s e e c h a n g e o c
Milliseconds 84 150 402 154 84 123 165 168 98 114 167 115 102 65 116 400 172 54 79 67 86 66 98 215 383
Character c u r r i n g i n n e a r l y e v e r y t h
Milliseconds 114 126 137 135 142 64 76 87 131 85 80 327 96 119 21 89 103 78 155 104 101 74 55 173 38
Character i n g w e o b s e r v e i n t h e w o r
Milliseconds 46 113 174 115 209 87 109 232 102 226 95 88 139 78 162 112 383 150 126 36 94 48 148 56 108
Character l d a n d u n i v e r s e , a n d p o w e
Milliseconds 53 179 67 116 30 110 54 162 137 157 338 97 174 121 121 61 80 151 47 93 60 229 171 49 41
Character r f u l m e -e o d e r n i n s t r u c -c m e n
Milliseconds 60 155 43 47 139 260 122 388 255 477 144 82 64 99 226 69 212 91 448 122 109 403 138 68 79
Character t s h l e p -p -e -l e l p u s e s e -e -s -e s e
Milliseconds 77 90 53 187 131 54 185 185 119 103 121 58 124 93 110 90 92 166 63 98 200 122 126 56 53
Character e m - -m m o r e a n d m o r e > I -I - ->
Milliseconds 122 46 236 212 132 108 117 66 44 69 47 120 30 108 41 158 74 44 35 363 86 145 272 136 97
Character . I N - -N n t h i s s -s -s - s s e c t i
Milliseconds 182 68 193 88 157 285 102 127 93 170 48 49 122 10 207 229 135 115 125 39 110 35 173 107 66
Character o n s -s w e i n t r o d u c e t h e i d e
Milliseconds 32 55 168 318 106 82 59 99 206 56 171 122 98 199 88 39 151 117 126 72 90 60 459 50 151
Character a s o f a v e r a g e a n d i n s t a t -t
Milliseconds 119 100 107 156 97 66 244 95 299 133 120 109 80 104 151 9 144 19 124 74 213 117 99 189 499
Character n t a n e o u s r e a t e -e -t -a -e a t e s o f
Milliseconds 202 136 559 70 709 47 38 120 136 199 55 68 99 98 213 135 139 131 58 58 53 103 101 162 114
Character c h a n g e , a n d s h o w t h a t t h
Milliseconds 77 226 59 105 53 125 66 99 73 79 62 72 95 146 40 65 97 159 144 43 66 62 60 105 27
Character e y a r e c l o s e l y r e l a t e d t o
Milliseconds 130 23 113 80 68 54 106 141 80 146 82 58 124 113 56 204 57 135 161 93 72 136 115 116 42
Character t h e s l o p e o f a c u r v e a t
Milliseconds 124 3 110 118 14 382 66 555 133 117 141 312 90 60 268 68 203 92 69 149 60 109 97 111 123
Character t -t a p o i n t P o n t h e c u r v e ,
Milliseconds 66 419 174 30 267 210 78 41 64 93 188 139 262 60 114 93 88 93 16 181 54 86 211 75 83
Character - -, . W e g i v e p r e c i s e d e v e
Milliseconds 86 381 117 164 71 93 96 135 162 68 82 62 60 216 152 184 308 61 141 157 151 244 123 183 138
Character l o p m e n t s o f t h e s e i m p o r t a
Milliseconds 110 160 111 260 201 55 99 85 95 230 97 97 94 65 36 114 88 113 153 68 86 165 51 132 76
Character n t c o n c e p t - s i n t h e n x t
Milliseconds 81 100 89 274 51 44 186 159 131 98 110 363 70 75 104 65 117 88 56 78 59 189 199 101 117
Character - -t -x e x t a h -h -a c h a p t e r , b u t f
Milliseconds 299 130 123 64 68 95 116 181 44 383 128 268 49 107 506 187 145 72 103 50 108 51 92 100 95
Character o r w o -o -w n o w e w - -w -e w e u s e a
Milliseconds 65 126 122 137 72 262 166 245 0 60 97 85 87 125 198 108 109 70 60 62 387 71 69 95 93
Character n i n f i -i o m r -r -m r a m -m -a m a l a p p r
Milliseconds 218 139 225 70 107 137 449 179 110 88 307 95 369 118 41 266 113 128 87 83 90 125 128 172 335
Character a o -o -a o a c h s - o y o u w i l l s e
Milliseconds 99 150 283 116 157 33 112 57 105 279 179 333 175 95 112 38 72 125 97 81 30 97 458 77 57
Character - e h o w t h e y l e a d n a t u r a l
Milliseconds 93 374 119 52 123 40 105 70 130 43 89 64 80 163 44 69 92 117 311 277 217 51 83 115 83
Character l y t o t h e m a i n i d e a d - -d o
Milliseconds 148 89 47 199 53 131 21 105 71 109 119 111 100 59 130 190 87 187 116 111 64 307 130 117 173
Character f t h i s c h a p t e r , t h e l i m i t
Milliseconds 93 46 131 56 46 126 54 171 71 142 152 497 131 106 71 58 213 46 135 80 142 110 10 96 102
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 126 115 154 70 71 177 192 438 152 97 132 157 108 55 106 83 377 95 71 68 101 122 207 146 119
Character y s a f o u n d a t i o n a l r o l e t h
Milliseconds 134 100 112 119 92 235 58 61 171 98 86 85 77 48 46 125 126 113 208 112 167 110 100 204 53
Character r o u g h o u t c a l c u l s -s u s .
Milliseconds 141 41 74 63 101 119 90 66 107 236 107 77 197 80 64 264 454 130 77 91
WPM Timing
Seconds WPM
2.6 82.95
5.21 62.21
7.81 75.27
10.42 76.04
13.02 80.18
15.62 78.34
18.23 80.97
20.83 78.92
23.44 77.32
26.04 82.49
28.64 83.79
31.25 81.8
33.85 85.43
36.46 83.94
39.06 81.41
41.66 79.2
44.27 78.88
46.87 79.62
49.48 80.77
52.08 81.57
54.68 82.29
57.29 81.06
59.89 80.34
62.5 79.68
65.1 77.97
67.71 77.81
70.31 78.34
72.91 78.83
75.52 77.55
78.12 77.73
80.73 79.53
83.33 79.78
85.93 79.74
88.54 80.24
91.14 80.05
93.75 80
96.35 80.96
98.95 80.4
101.56 79.88
104.16 79.26
106.77 78.56
109.37 77.68
111.97 77.59
114.58 77.92
117.18 78.54
119.79 78.34
122.39 78.73
124.99 79.11
127.6 79.56
130.2 79.63