Ed (unknownalias)

Race #1508

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Official speed 101.37 wpm (102.28 seconds elapsed during race)
Without ending ping 101.59 wpm (217 ms delay sending score to TypeRacer’s server)
Timerless 102.03 wpm (446 ms elapsed before first character typed; 101.62 seconds elapsed during race)
Timerless minus one 101.91 wpm, ignoring the first character typed
Race Start June 10, 2024 11:58:50pm UTC
Race Finish June 11, 2024 12:00:32am UTC
Outcome Win (1 of 2)
Accuracy 97.0%
Points 273.70
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 s a a tool that helps us undesrstand how iaa change in a0oonene quantity is reallated to a change in another. Ho wdow does the speed of a falling object change as a affunction of time? HOw dhow How does the level of water in a barrel change as a function of the amount of luquiliquid poured into it? We chsee change occuring ring in nearly everything we observe in the world asnand universe, and powerful modern instruments hleelp us see more and more. In this section in w ee intrdoodcucuce the ideas of average nad and instanetaneous rates of ahcchange, and show that they are closely related to the slope of a curve and at a point P on the curve. We give prrecise 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 kllimtiit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s s - a -s -a - a t o o
Milliseconds 446 153 117 110 172 141 117 77 67 108 78 134 139 81 299 56 60 402 0 0 199 91 113 35 122
Character l t h a t h e l p s u s u n d e s -s r s t
Milliseconds 116 51 77 46 65 93 52 39 105 79 164 93 55 43 101 77 147 114 169 128 245 306 7 104 99
Character a n d h o w i a -a -i a c h a n g e i n a
Milliseconds 109 46 105 51 33 82 49 57 143 116 185 113 195 60 177 53 51 67 103 83 45 60 55 75 112
Character 0 -0 -a o o n e -e -n -o n e q u a n t i t y i s
Milliseconds 204 171 120 266 39 109 217 183 107 140 199 73 51 110 53 173 96 95 55 102 109 66 143 112 72
Character r e a l -l -a l a t e d t o a c h a n g e i
Milliseconds 78 53 102 44 381 76 198 154 161 100 117 54 101 7 102 65 101 65 57 56 61 77 101 22 77
Character n a n o t h e r . H o w d o -o -d -w - w d o
Milliseconds 66 58 143 112 66 108 58 68 77 54 105 368 108 137 10 232 41 178 99 115 106 46 79 126 24
Character e s t h e s p e e d o f a f a l l i n g
Milliseconds 123 103 97 73 43 68 66 78 49 126 133 140 60 50 83 53 101 109 54 119 100 114 123 89 54
Character o b j e c t c h a n g e a s a a f -a -f f
Milliseconds 69 62 125 53 75 96 148 63 107 42 66 71 63 111 50 100 182 97 105 97 190 88 320 0 114
Character u n c t i o n o f t i m e ? H O w d -d -H -O
Milliseconds 60 68 28 127 39 33 100 18 129 101 48 169 18 74 89 165 83 163 73 136 48 131 213 90 0
Character -w - h o w -h -o -w - H o w d o e s t h e l e
Milliseconds 0 0 246 123 103 65 200 0 0 0 302 207 89 79 96 48 85 168 48 106 36 72 77 67 60
Character v e l o f w a t e r i n a b a r r e l
Milliseconds 130 89 81 65 121 38 82 71 107 114 98 85 42 67 70 76 71 94 111 106 98 140 123 88 76
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 89 69 32 100 57 101 54 135 208 85 91 90 120 110 94 64 139 39 23 85 73 98 69 72 158
Character h e a m o u n t o f l u q u i -l -u -q -u -i l i
Milliseconds 35 94 61 187 54 67 89 114 81 58 11 123 60 55 142 74 103 69 298 0 0 0 0 313 123
Character q u i d p o u r e d i n t o i t ? W e c
Milliseconds 127 125 156 79 78 111 141 153 106 113 105 56 35 59 93 76 103 76 78 172 125 193 131 75 140
Character h -c -h s e e c h a n g e o c c u r i n g - -g
Milliseconds 72 370 0 68 133 123 52 99 49 39 81 74 115 39 64 71 120 77 71 97 68 79 55 298 91
Character -n -i r i n g i n n e a r l y e v e r y t h i
Milliseconds 179 198 92 121 129 136 128 71 58 101 120 50 122 61 75 97 102 181 141 86 73 67 66 76 104
Character n g w e o b s e r v e i n t h e w o r l
Milliseconds 57 64 53 118 93 79 135 50 130 107 41 161 125 43 46 92 55 75 66 16 125 52 156 80 216
Character d a s n -a -s -n a n d u n i v e r s e , a n d
Milliseconds 281 90 94 165 118 313 0 0 107 74 87 59 50 39 147 54 143 83 89 127 105 79 80 85 88
Character p o w e r f u l m o d e r n i n s t r u m e
Milliseconds 56 249 124 77 39 107 165 16 123 86 281 108 93 164 75 54 125 151 76 64 105 113 54 92 68
Character n t s h l e -e -l e l p u s s e e m o r e
Milliseconds 88 32 112 92 121 160 185 170 92 132 50 128 85 114 55 99 368 172 136 65 68 83 63 56 49
Character a n d m o r e . I n t h i s s e c t i o n
Milliseconds 124 53 99 55 38 59 68 60 101 91 207 271 93 136 42 104 58 66 103 146 119 143 23 12 78
Character i n -i -n - w e -e - e i n t r d o -o -d o d c
Milliseconds 83 124 93 61 269 0 0 111 132 99 331 116 76 46 119 68 73 123 127 103 240 83 404 63 141
Character u c -c -u -c u c e t h e i d e a s o f a v e
Milliseconds 68 182 331 113 107 255 92 103 70 91 39 55 55 94 135 124 246 185 78 180 80 71 93 151 97
Character r a g e n a d -n -a -d - a n d i n s t a n e -e
Milliseconds 78 90 125 101 65 40 96 155 57 232 0 0 0 193 81 80 77 127 92 0 150 122 96 315 399
Character t a n e o u s r a t e s o f a h c -a -h -c c h
Milliseconds 103 142 118 146 124 89 95 85 249 56 129 106 117 73 76 55 69 93 49 12 317 0 0 111 52
Character a n g e , a n d s h o w t h a t t h e y
Milliseconds 50 114 328 121 106 79 83 90 38 80 113 100 63 73 73 71 64 30 103 44 75 49 112 102 16
Character a r e c l o s e l y r e l a t e d t o t h
Milliseconds 134 87 90 30 105 44 128 45 128 62 137 54 128 83 68 93 95 112 126 44 101 20 83 71 23
Character e s l o p e o f a c u r v e a n d -a -n
Milliseconds 59 71 129 71 144 158 53 65 169 63 68 76 99 82 86 77 142 119 35 114 40 95 90 296 0
Character -d - a t a p o i n t P o n t h e c u r
Milliseconds 0 0 174 114 53 92 87 88 140 132 124 78 54 133 88 167 78 87 79 54 38 67 81 54 76
Character v e . W e g i v e p r -r r e c i s e d e v
Milliseconds 143 110 75 60 208 195 110 123 61 92 96 65 96 92 275 189 300 280 80 109 113 80 248 182 120
Character e l o p m e n t s o f t h e s e i m p o r t
Milliseconds 91 70 143 105 45 103 78 66 113 70 67 100 32 148 43 94 169 110 78 44 72 113 62 275 210
Character a n t c o n c e p t s i n t h e n e x t
Milliseconds 102 163 99 421 103 56 21 115 92 89 88 118 39 84 75 61 60 62 45 45 104 172 223 140 61
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 119 33 89 58 115 104 82 103 88 149 52 105 52 125 48 93 43 78 84 5 94 103 95 38 135
Character s e a n i n f o r m a l a p p r o a c h s
Milliseconds 53 132 64 92 86 102 106 62 79 73 79 63 65 227 82 166 220 120 114 69 63 102 56 89 218
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 65 53 90 106 39 34 108 79 111 113 26 146 152 141 46 95 52 48 116 229 24 74 85 45 124
Character e a d n a t u r a l l y t o t h e m a i n
Milliseconds 383 182 124 68 63 96 113 105 53 138 74 84 154 53 98 72 80 144 9 115 126 92 64 111 69
Character i d e a o f t h i s c h a p t e r , t h
Milliseconds 59 105 74 111 129 130 104 71 72 82 5 116 73 99 160 53 96 101 47 107 89 119 81 129 47
Character e k l -k -l l i m t i -i -t i t . T h e i d e a
Milliseconds 85 56 96 40 344 0 152 111 108 119 66 329 95 151 84 71 72 268 81 108 59 91 93 138 137
Character o f a l i m i t p l a y s a f o u n d
Milliseconds 134 110 54 103 61 88 92 119 97 126 66 63 54 157 103 53 133 61 111 90 84 71 71 73 205
Character a t i o n a l r o l e t h r o u g h o u t c
Milliseconds 153 132 46 21 89 140 117 84 89 72 97 62 51 225 69 85 57 87 128 4 137 82 105 60 199
Character a l c u l u s .
Milliseconds 97 124 105 97 201 227 56 371
WPM Timing
Seconds WPM
2.05 70.4
4.09 79.2
6.14 82.13
8.18 87.99
10.23 77.44
12.27 78.22
14.32 87.99
16.36 84.33
18.41 90.6
20.46 93.27
22.5 94.39
24.55 88.48
26.59 92.96
28.64 95.54
30.68 98.16
32.73 96.06
34.77 96.97
36.82 96.79
38.87 95.71
40.91 97.38
42.96 96.93
45 97.59
47.05 98.2
49.09 98.02
51.14 98.79
53.18 98.6
55.23 96.25
57.28 95.33
59.32 95.07
61.37 93.86
63.41 94.05
65.46 94.59
67.5 96.17
69.55 97.48
71.6 96.88
73.64 97.45
75.69 96.87
77.73 97.41
79.78 97.32
81.82 98.26
83.87 99.3
85.91 99.59
87.96 100.41
90.01 100.66
92.05 101.42
94.1 101.26
96.14 100.6
98.19 101.32
100.23 101.88
102.28 101.37