tstats[montedeu] (montedeu)

Race #7020

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Official speed 105.91 wpm (97.89 seconds elapsed during race)
Without ending ping 106.12 wpm (193 ms delay sending score to TypeRacer’s server)
Timerless 106.51 wpm (359 ms elapsed before first character typed; 97.34 seconds elapsed during race)
Timerless minus one 106.39 wpm, ignoring the first character typed
Race Start March 31, 2024 9:46:52pm UTC
Race Finish March 31, 2024 9:48:30pm UTC
Outcome No win (4 of 5)
Opponents 2. arkosammy_1208 (126.69 wpm)
3. doublestab (111.77 wpm)
5. xyxyxyx (97.47 wpm)
Accuracy 97.3%
Points 285.95
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 Caclculus is a tool that helps us understand how a change in one quanittity is related to a change in another. How does the speed of a falling object cahngechange as a function of time? How does the level of water in a barrel change as a function of the amounto of liquid poured inot ito it? We see change occuring inring in nearly everything we observe in the world teand univrerse, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instantaneous tarates of cahgnechange, and show that they are closely related to the slope of a curve at a point P on teh cuthe curve. We give percrecise developemments of those these important concepts in the next chapter, but for now we use ian informal appraooach so you wil lll see how they lead naturally to the main idea of this chapte,r the r, the limit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character C a c -c l c u l u s i s a t o o l t h a t
Milliseconds 359 153 82 525 168 134 59 118 163 135 113 150 76 77 67 64 138 63 123 126 35 87 70 68 37
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 31 125 100 109 141 84 52 131 54 64 246 133 47 147 64 91 63 44 81 91 53 75 45 64 66
Character a c h a n g e i n o n e q u a n i t -t -i t
Milliseconds 123 22 128 68 137 32 96 130 66 25 96 36 186 80 40 60 197 79 133 69 146 173 312 93 102
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 51 111 35 87 91 65 66 159 67 43 132 38 56 172 44 77 69 67 66 102 135 66 42 92 45
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 90 64 41 66 76 149 43 56 77 71 79 117 40 58 301 105 86 37 120 52 98 76 98 75 69
Character e s p e e d o f a f a l l i n g o b j e
Milliseconds 26 62 165 75 124 110 156 38 134 97 66 64 80 180 103 98 116 79 41 50 54 172 177 130 113
Character c t c a h n g e -c -a -h -n -g -e c h a n g e a s
Milliseconds 148 132 66 293 69 0 136 33 102 235 0 0 0 0 0 156 85 90 67 33 124 53 149 56 63
Character a f u n c t i o n o f t i m e ? H o w d
Milliseconds 82 51 64 164 137 90 137 61 17 55 64 134 74 69 90 99 44 25 241 92 200 135 93 52 134
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 61 93 71 63 60 72 35 78 80 50 127 92 50 57 133 72 55 207 75 43 67 77 39 59 38
Character a b a r r e l c h a n g e a s a f u n
Milliseconds 76 68 121 191 102 92 137 49 69 105 204 68 48 95 29 95 66 118 62 29 98 38 90 282 351
Character c t i o n o f t h e a m o u n t o - -o o
Milliseconds 77 134 0 63 58 85 59 65 56 89 29 45 75 143 25 89 102 152 66 89 48 566 106 99 131
Character f l i q u i d p o u r e d i n o t i -i - -t
Milliseconds 130 40 108 78 139 115 46 215 62 137 144 76 46 67 140 41 41 65 58 24 136 96 289 217 106
Character -o t o i t ? W e s e e c h a n g e o c c
Milliseconds 119 254 121 31 115 77 124 131 132 133 44 127 67 121 41 159 55 44 114 41 111 55 276 106 131
Character u r i n g i n -n -i - -g -n -i r i n g i n n e a
Milliseconds 69 95 68 64 67 56 64 50 295 112 102 133 131 68 268 71 66 65 68 62 32 81 159 88 50
Character r l y e v e r y t h i n g w e o b s e r v e
Milliseconds 44 41 103 28 232 129 99 405 115 119 89 64 69 56 58 153 87 78 137 92 157 66 0 172 96
Character i n t h e w o r l d t e -e -t a n d u n i
Milliseconds 63 68 40 67 161 80 26 93 76 85 43 94 87 65 56 80 351 94 116 110 105 68 173 162 66
Character v r -r e r s e , a n d p o w e r f u l m o d
Milliseconds 21 244 382 60 62 84 64 43 93 74 57 30 39 307 161 64 15 26 142 71 22 74 167 97 75
Character e r n i n s t r u m e n t s h e l p u s s
Milliseconds 147 42 65 58 228 63 97 66 152 22 168 82 55 122 41 104 68 174 24 156 135 228 71 100 202
Character e e m o r e a n d m o r e . I n t h i s
Milliseconds 70 141 54 73 61 72 45 48 90 43 52 82 75 43 55 63 66 125 147 159 77 107 98 61 57
Character s e c t i o n w e i n t r o d u c e t h e
Milliseconds 46 230 184 150 137 62 26 69 71 115 279 130 436 52 73 156 0 200 77 102 124 77 197 60 31
Character i d e a s o f a v e r a g e a n d i n s
Milliseconds 79 91 67 164 72 95 100 150 49 63 163 120 130 68 125 73 78 68 125 32 43 58 143 67 133
Character t a n t a n e o u s t a -a -t r a t e s o f c
Milliseconds 51 67 69 120 186 299 261 190 41 80 49 187 8 247 131 241 69 75 67 149 71 100 97 49 203
Character a h g n e -c -a -h -g -n -e c h a n g e , a n d s h
Milliseconds 110 0 130 4 134 253 0 0 0 0 0 223 48 91 71 66 138 97 142 78 55 40 70 167 85
Character o w t h a t t h e y a r e c l o s e l y
Milliseconds 38 58 76 192 32 113 75 70 115 18 123 41 63 93 58 45 58 176 62 131 60 40 89 52 55
Character r e l a t e d t o t h e s l o p e o f a
Milliseconds 293 44 100 100 38 55 148 53 103 67 31 76 72 11 118 55 78 143 123 129 43 159 58 22 109
Character c u r v e a t a p o i n t P o n t e
Milliseconds 70 214 143 88 177 93 45 134 61 53 68 69 104 172 56 44 35 66 158 111 279 38 68 63 61
Character h c u -c -u -t -e -h - t h e c u r v e . W e g
Milliseconds 11 95 119 103 213 0 85 0 0 0 269 62 68 55 212 93 75 165 175 147 64 133 172 46 143
Character i v e p e r c -c -r -e r e c i s e d e v e l o p
Milliseconds 79 105 69 59 118 77 39 192 276 96 132 82 62 158 148 294 68 106 283 199 124 114 95 154 72
Character e m -m -e m e n t s o f t h o s e -t -h -o -s -e -
Milliseconds 108 66 280 108 155 68 70 110 23 92 107 57 76 80 84 47 60 86 74 274 0 0 0 0 0
Character t h e s e i m p o r t a n t c o n c e p t s
Milliseconds 238 58 94 150 38 62 136 65 97 157 16 214 50 69 75 54 168 46 53 66 182 276 123 55 113
Character i n t h e n e x t c h a p t e r , b u t
Milliseconds 26 57 103 114 50 37 98 102 55 198 42 84 200 12 433 109 109 57 99 44 38 151 195 25 61
Character f o r n o w w e u s e i -i a n i n f o r
Milliseconds 157 31 102 66 38 73 81 34 143 84 66 98 78 32 99 109 244 81 75 67 81 93 70 451 138
Character m a l a p p r a o -o -a o a c h s o y o u w
Milliseconds 72 108 53 122 252 224 109 106 99 120 303 230 172 63 44 93 63 132 82 52 110 51 45 53 67
Character i l l -l l -l - l s e e h o w t h e y l e
Milliseconds 78 144 150 117 241 359 293 159 212 70 91 66 134 85 114 44 56 63 70 22 86 60 32 425 38
Character a d n a t u r a l l y t o t h e m a i n
Milliseconds 57 122 47 97 77 80 79 163 85 13 140 54 73 329 52 90 36 32 66 99 51 94 58 46 37
Character i d e a o f t h i s c h a p t e , r t h e
Milliseconds 155 66 146 93 28 186 80 63 91 59 56 27 64 185 55 66 136 73 92 100 29 48 123 68 54
Character - -e -h -t - -r -, r , t h e l i m i t . T h e
Milliseconds 92 228 99 115 113 112 132 149 115 137 64 69 53 57 80 157 67 66 103 71 123 38 95 89 83
Character i d e a o f a l i m i t p l a y s a
Milliseconds 73 114 80 170 68 52 151 63 77 21 130 335 65 85 84 126 74 114 120 79 104 121 53 95 75
Character f o u n d a t i o n a l r o l e t h r o u g h
Milliseconds 99 159 54 173 27 90 86 0 38 53 303 58 77 263 45 104 106 71 89 69 120 93 70 152 0
Character o u t c a l c u l u s .
Milliseconds 129 51 37 113 140 121 54 151 52 128 124 140 27
WPM Timing
Seconds WPM
1.96 49.03
3.92 91.94
5.87 108.28
7.83 104.19
9.79 110.32
11.75 116.45
13.71 117.33
15.66 112.62
17.62 113.73
19.58 115.23
21.54 117.57
23.49 117.98
25.45 118.34
27.41 115.58
29.37 111.96
31.33 112.24
33.28 108.16
35.24 108.28
37.2 110
39.16 108.79
41.12 108.86
43.07 109.77
45.03 110.59
46.99 110.83
48.95 110.08
50.91 110.56
52.86 110.32
54.82 108.79
56.78 108.42
58.74 109.51
60.69 110.72
62.65 111.09
64.61 109.39
66.57 108.88
68.53 107.35
70.48 106.75
72.44 106.02
74.4 106.61
76.36 106.71
78.32 106.95
80.27 105.84
82.23 105.51
84.19 104.76
86.15 104.89
88.1 105.96
90.06 104.46
92.02 105.11
93.98 105.34
95.94 105.69
97.89 105.91