Ewen (atomic_uwin)

Race #76

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Official speed 97.30 wpm (106.56 seconds elapsed during race)
Without ending ping 97.56 wpm (279 ms delay sending score to TypeRacer’s server)
Timerless 97.83 wpm (303 ms elapsed before first character typed; 105.98 seconds elapsed during race)
Timerless minus one 97.72 wpm, ignoring the first character typed
Race Start August 8, 2024 8:40:00am UTC
Race Finish August 8, 2024 8:41:47am UTC
Outcome Win (1 of 4)
Accuracy 98.0%
Points 262.72
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 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 pwater in a barrell ch change as a function of the amount of liquid poured into it? We wsee change occuring ioccurring in nearly everything we observe in the world and universe, and powerful modern instruments help us esee more and more/. In this section we introduce the ideas of average and instantaneous rates of change, and show that they are clorseclosely related to the slope of ta curve at a point P on the curve. We give prciseprecise development os of thoese important concepts in the next chaper.ter, but for now we use an imnformal approach fso you will see how they lead naturally to the main idead of this chaper, chapter, the limit. The idadea ofaff a limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 303 167 91 229 152 149 154 96 86 115 57 96 64 77 123 72 115 146 73 110 73 58 153 77 158
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 140 98 132 86 73 126 107 74 106 63 44 148 61 146 96 62 93 58 118 117 105 68 102 74 75
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 98 66 93 58 131 94 70 121 67 67 119 63 71 108 150 73 95 56 111 68 103 354 131 127 24
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 114 47 63 137 46 153 46 134 78 105 53 88 112 125 152 61 98 51 132 94 70 98 56 79 80
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 88 104 47 123 58 70 114 156 193 123 93 83 88 55 85 110 29 140 20 117 96 97 16 154 108
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 133 84 102 70 97 77 116 211 144 58 101 159 51 60 93 99 131 134 30 146 157 201 166 54 85
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 60 145 98 101 66 90 109 74 106 96 93 62 16 149 79 56 60 109 134 63 94 60 106 72 50
Character ? H o w d o e s t h e l e v e l o f p
Milliseconds 243 199 191 118 126 68 227 62 61 132 84 88 57 74 80 101 102 115 106 99 213 140 99 81 180
Character -p w a t e r i n a b a r r e l l c h -c -h -
Milliseconds 251 100 182 122 127 71 86 135 45 70 79 95 156 85 164 280 188 111 111 146 72 80 407 0 335
Character -l c h a n g e a s a f u n c t i o n o f
Milliseconds 171 172 118 73 67 67 195 105 91 74 73 95 133 19 275 113 61 26 139 41 77 25 109 119 38
Character t h e a m o u n t o f l i q u i d p o u
Milliseconds 100 29 84 45 93 84 60 131 166 60 82 93 99 67 90 117 160 191 101 122 83 105 134 141 170
Character r e d i n t o i t ? W e w -w s e e c h a
Milliseconds 92 158 127 82 118 48 80 97 38 131 41 276 220 212 159 88 207 252 50 134 122 69 258 92 51
Character n g e o c c u r i n g i -i -o -c -c -u -r -i -n -g - o
Milliseconds 83 147 110 141 206 69 113 114 66 88 30 127 77 170 303 127 0 0 0 0 0 0 0 0 284
Character c c u r r i n g i n n e a r l y e v e r y t
Milliseconds 94 101 148 73 116 100 46 109 89 117 50 88 233 99 116 125 73 165 70 318 136 77 62 95 127
Character h i n g w e o b s e r v e i n t h e w o
Milliseconds 60 133 40 61 141 31 72 132 95 169 502 72 159 105 99 83 96 56 45 66 74 34 118 33 95
Character r l d a n d u n i v e r s e , a n d p o w
Milliseconds 18 133 27 110 61 70 66 95 108 67 239 184 128 45 156 84 86 104 115 85 43 105 145 190 73
Character e r f u l m o d e r n i n s t r u m e n t s
Milliseconds 68 25 176 80 154 94 179 84 348 416 67 109 119 191 68 53 127 135 39 158 102 39 94 138 149
Character h e l p u s e -e s e e m o r e a n d m o
Milliseconds 190 80 94 133 89 133 69 93 91 348 61 132 124 82 128 82 68 35 93 97 65 60 83 128 88
Character r e / -/ . I n t h i s s e c t i o n w e
Milliseconds 74 67 217 527 193 156 232 167 62 140 82 89 61 99 61 65 164 153 49 79 33 82 97 52 184
Character i n t r o d u c e t h e i d e a s o f a v
Milliseconds 118 56 157 143 61 142 40 115 136 81 89 67 83 60 137 105 119 141 142 90 154 63 100 136 97
Character e r a g e a n d i n s t a n t a n e o u s r
Milliseconds 69 177 129 93 54 95 57 86 47 96 104 66 61 138 49 153 115 148 119 112 88 148 83 83 159
Character a t e s o f c h a n g e , a n d s h o w
Milliseconds 131 113 60 132 78 122 79 82 112 56 111 41 133 70 151 123 99 72 48 93 87 86 99 48 100
Character t h a t t h e y a r e c l o r s e -c -l -o -r -s
Milliseconds 65 136 15 158 58 121 24 117 18 83 101 132 75 84 103 44 134 84 185 108 318 0 0 0 0
Character -e c l o s e l y r e l a t e d t o t h e s
Milliseconds 0 160 57 117 64 69 72 181 70 151 57 119 71 121 77 123 83 90 50 54 103 61 76 80 94
Character l o p e o f t -t a c u r v e a t a p o
Milliseconds 72 192 185 136 55 125 42 95 63 289 79 108 98 88 73 134 106 94 68 151 94 79 95 178 149
Character i n t P o n t h e c u r v e . W e g i
Milliseconds 168 59 93 114 193 168 122 69 87 100 67 50 111 104 84 113 132 126 124 189 340 162 100 160 41
Character v e p r c i s e -p -r -c -i -s -e p r e c i s e d e
Milliseconds 134 107 52 106 64 262 107 102 119 307 0 0 0 0 0 376 66 73 194 123 241 80 148 90 131
Character v e l o p m e n t o -o - s o f t h o -o e s e
Milliseconds 38 121 49 151 79 170 71 81 66 116 168 315 136 143 76 116 65 99 57 93 100 534 121 155 59
Character i m p o r t a n t c o n c e p t s i n t h
Milliseconds 90 233 64 161 133 77 122 135 102 50 82 133 47 67 341 127 52 124 146 51 125 52 64 54 98
Character e n e x t c h a p e r . -. -r -e t e r , b u t
Milliseconds 38 100 104 27 176 90 55 76 75 67 146 140 58 138 259 167 160 215 161 64 39 395 186 106 80
Character f o r n o w w e u s e a n i m -m n f o
Milliseconds 85 85 64 80 51 133 113 370 133 125 64 102 145 62 65 119 57 114 66 112 66 319 156 99 82
Character r m a l a p p r o a c h f -f s o y o u w i
Milliseconds 51 104 130 111 90 253 41 114 85 82 53 129 91 85 212 235 97 97 41 101 83 48 95 102 80
Character l l s e e h o w t h e y l e a d n a t u
Milliseconds 150 118 44 66 148 115 114 168 101 71 98 106 59 61 77 72 124 19 117 140 94 121 43 159 83
Character r a l l y t o t h e m a i n i d e a d -d
Milliseconds 56 122 65 114 168 39 114 63 67 97 71 74 67 125 86 89 66 82 145 56 166 135 151 326 110
Character o f t h i s c h a p e r , -, - -c -h -a -p -e -r c
Milliseconds 113 86 80 75 76 98 46 110 64 118 63 89 112 71 128 71 414 0 122 0 0 0 0 0 211
Character h a p t e r , t h e l i m i t . T h e i d
Milliseconds 86 72 80 144 154 73 83 83 209 92 49 67 122 142 127 136 108 184 199 380 95 103 86 100 47
Character a -a -d d e a o f -f a f -f -a f a l i m i t p
Milliseconds 153 468 156 661 128 123 128 111 152 249 109 293 215 116 371 113 133 73 185 150 131 136 56 88 116
Character l a y s a f o u n d a t i o n a l r o l e
Milliseconds 51 78 130 76 100 103 57 145 293 208 68 106 133 158 48 78 36 114 116 50 127 96 117 49 88
Character t h r o u g h o u t c a l c u l u s .
Milliseconds 73 88 51 66 148 97 59 207 28 94 169 117 126 57 126 50 165 167 82 123
WPM Timing
Seconds WPM
2.13 90.09
4.26 106.98
6.39 114.49
8.52 115.43
10.66 119.37
12.79 119.19
14.92 117.44
17.05 119.65
19.18 118.25
21.31 114.31
23.44 110.57
25.57 107.45
27.7 110.02
29.84 109.4
31.97 106.98
34.1 102.76
36.23 102.35
38.36 102.61
40.49 103.73
42.62 104.17
44.75 102.96
46.89 102.63
49.02 102.33
51.15 102.06
53.28 102.71
55.41 103.52
57.54 103.65
59.67 104.77
61.8 103.68
63.93 104.36
66.07 104.26
68.2 104.35
70.33 102.89
72.46 102.02
74.59 101.19
76.72 100.73
78.85 101.35
80.98 99.72
83.11 100.05
85.25 99.95
87.38 99.98
89.51 100.68
91.64 100.7
93.77 99.56
95.9 99.6
98.03 98.29
100.16 96.8
102.29 96.9
104.43 97.33
106.56 97.3