DX3906 (dx3906)

Race #2931

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Official speed 96.68 wpm (107.24 seconds elapsed during race)
Without ending ping 96.97 wpm (317 ms delay sending score to TypeRacer’s server)
Timerless 97.39 wpm (460 ms elapsed before first character typed; 106.46 seconds elapsed during race)
Timerless minus one 97.27 wpm, ignoring the first character typed
Race Start November 14, 2023 5:57:10am UTC
Race Finish November 14, 2023 5:58:57am UTC
Outcome No win (5 of 5)
Opponents 1. forcherie2 (132.13 wpm)
2. nielsjensen (115.10 wpm)
3. wqkk (104.34 wpm)
4. talk_to_me_goose (101.04 wpm)
Accuracy 96.3%
Points 261.03
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 aa tool that helps us undertsastand how a changein q in one quantity is related a to a changei n in another. How does the speed of a falling object change as a function of time? How does the leve of l of water in a braarerel change as a function of the amount of liquid pouerred into it We? We see change occurring in enarlnearly everything we objserserve in thew world and univeserse, and powerful modern instruments helps us us see more and more. In this section we introduce the ideas of average and isntasnnstantaneous rates of change an, and show that they are closey ly realtedlated to the slope of a cruvurve a tt a point P on the curve. We give precise developments of these important concepts int he ne the next chapter, but for onwnow we use an informal approach so you will see how they lead naturally tho the mian iain idea of this chapter, the limit. The idea of a limit plays a foundational role thruoghououghout clacalculus.
Timing
Character C a l c u l u s i s a -a a t o o l t h a t
Milliseconds 460 108 106 53 113 119 52 91 60 90 104 85 113 214 462 86 117 154 136 107 70 75 70 39 57
Character h e l p s u s u n d e r t s a -a -s -t s t a n
Milliseconds 60 155 145 101 148 124 49 86 91 82 119 50 51 153 88 213 0 93 230 90 166 108 76 34 78
Character d h o w a c h a n g e i n q -q - -n -i i n
Milliseconds 109 39 136 77 30 112 45 154 61 95 91 53 99 59 141 55 32 160 298 117 107 119 134 95 72
Character o n e q u a n t i t y i s r e l a t e d
Milliseconds 68 447 42 66 392 101 92 78 92 90 88 65 114 62 120 65 101 82 81 76 26 120 44 87 92
Character a - -a t o a c h a n g e i n - -n - -i i
Milliseconds 103 88 446 101 111 66 40 66 123 89 68 123 19 64 74 76 8 116 88 268 95 132 118 111 121
Character n a n o t h e r . H o w d o e s t h e s
Milliseconds 36 50 90 85 96 74 92 61 67 81 36 168 86 50 115 50 128 22 82 133 56 102 51 107 58
Character p e e d o f a f a l l i n g o b j e c t
Milliseconds 84 146 102 136 89 104 102 103 145 54 124 39 257 117 31 89 49 70 114 47 176 47 127 108 91
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 88 73 87 109 87 45 105 142 95 52 137 103 84 114 42 87 161 20 7 82 30 109 84 71 88
Character i m e ? H o w d o e s t h e l e v e o f
Milliseconds 41 52 49 206 82 255 64 117 81 100 71 74 79 51 78 70 100 39 82 134 167 69 146 131 50
Character - -f -o - l o f w a t e r i n a b r a -a
Milliseconds 132 187 102 117 112 214 58 125 106 69 93 76 54 96 84 50 114 57 46 70 102 165 87 97 398
Character -r a r e -e r e l c h a n g e a s a f u n c
Milliseconds 99 80 51 278 332 52 49 110 64 64 94 75 68 62 62 177 189 91 77 104 76 70 89 45 57
Character t i o n o f t h e a m o u n t o f l i q
Milliseconds 168 27 7 69 49 126 40 150 22 150 47 138 48 158 111 55 168 80 163 98 117 95 115 61 87
Character u i d p o u e r -r -e r e d i n t o i t -
Milliseconds 82 66 336 104 208 46 95 158 25 417 89 37 54 137 45 98 65 101 99 56 150 106 312 304 246
Character W e -e -W - ? W e s e e c h a n g e o c c u
Milliseconds 210 96 225 92 98 209 14 313 69 268 147 176 145 112 16 129 88 85 44 64 51 99 191 297 202
Character r r i n g i n e n a r l -l -r -a -n -e n e a r l y
Milliseconds 104 157 118 38 40 75 76 56 59 116 23 80 109 112 242 253 32 39 31 205 61 21 68 51 72
Character e v e r y t h i n g w e o b j s e r -r -e -s -j
Milliseconds 29 127 97 72 96 63 126 71 98 86 54 120 90 66 68 122 64 214 58 118 66 167 96 98 122
Character s e r v e i n t h e w - -w w o r l d a n
Milliseconds 49 43 37 158 77 97 87 70 48 15 131 6 200 0 458 103 162 52 125 20 127 65 109 78 74
Character d u n i v e s e -e -s r s e , a n d p o w e r
Milliseconds 70 84 77 139 78 70 127 235 83 350 81 159 226 102 79 52 76 86 52 78 68 29 60 12 65
Character f u l m o d e r n i n s t r u m e n t s h e
Milliseconds 118 59 61 43 145 87 72 148 70 70 49 158 77 98 105 153 95 148 86 93 107 41 85 175 138
Character l p s u s - -s -u - -s u s s e e m o r e
Milliseconds 83 39 165 60 114 144 74 216 92 113 136 103 68 153 79 85 89 156 128 129 98 71 65 24 94
Character a n d m o r e . I n t h i s s e c t i o n
Milliseconds 70 89 54 101 83 48 90 54 102 33 166 140 24 70 96 32 93 59 104 92 135 155 24 12 93
Character w e i n t r o d u c e t h e i d e a s o
Milliseconds 43 82 62 92 119 55 94 120 109 120 114 53 160 90 66 69 60 76 109 15 179 110 155 114 102
Character f a v e r a g e a n d i s n t a -a -t -n -s s n
Milliseconds 72 120 64 88 103 93 97 76 42 90 69 93 47 119 117 33 22 137 28 278 92 118 121 176 18
Character -n -s n s t a n t a n e o u s r a t e s o f c
Milliseconds 488 97 207 0 128 63 144 593 62 149 333 266 76 74 74 79 64 103 50 81 89 129 118 113 150
Character h a n g e a n -n -a - , a n d s h o w t h a
Milliseconds 82 97 50 128 63 104 86 75 252 91 99 202 35 72 89 75 73 185 37 66 85 112 76 82 44
Character t t h e y a r e c l o s e y - -y l y r e
Milliseconds 51 71 87 73 118 63 60 125 20 99 0 235 84 150 77 38 154 46 305 104 182 59 17 123 57
Character a l t e d -d -e -t -l -a l a t e d t o t h e s l
Milliseconds 61 28 148 41 126 198 92 115 120 103 202 104 72 73 115 102 93 86 44 77 87 45 89 68 106
Character o p e o f a c r u v -v -u -r u r v e a t -t
Milliseconds 148 181 154 87 121 131 67 139 89 132 187 70 215 197 103 100 215 48 135 73 294 118 98 97 402
Character - t a p o i n t P o n t h e c u r v e
Milliseconds 112 36 111 49 120 31 67 62 30 55 139 177 124 77 88 10 73 90 48 83 57 94 51 133 81
Character . W e g i v e p r e c i s e d e v e l o p
Milliseconds 125 36 191 71 82 128 93 103 43 96 110 38 58 146 89 140 86 93 94 143 131 74 30 143 121
Character m e n t s o f t h e s e i m p o r t a n t
Milliseconds 92 54 124 17 113 87 111 83 100 78 58 65 162 60 34 130 72 25 90 75 136 39 115 31 142
Character c o n c e p t s i n t h e n e -e -n - -e -h - -t
Milliseconds 42 377 46 91 157 122 37 97 84 81 58 60 0 125 0 107 53 55 225 90 106 121 122 102 229
Character t h e n e x t c h a p t e r , b u t f o
Milliseconds 261 74 63 74 56 115 152 131 159 174 239 68 94 80 109 120 61 82 17 209 131 67 85 118 39
Character r o n w -w -n -o n o w w e u s e a n i n f
Milliseconds 105 69 104 32 100 272 104 120 194 14 74 125 109 75 45 125 106 59 54 106 85 50 138 62 68
Character o r m a l a p p r o a c h s o y o u w i l
Milliseconds 119 47 62 139 105 21 82 432 0 0 0 99 524 115 64 195 97 50 105 80 57 10 94 105 169
Character l s e e h o w t h e y l e a d n a t u r
Milliseconds 126 58 78 186 106 44 121 75 80 30 107 69 89 60 39 115 17 48 124 107 114 86 125 195 100
Character a l l y t h -h o t h e m i a n i -i - -n -a -i
Milliseconds 77 119 138 64 37 76 93 320 265 41 46 92 49 34 100 97 31 102 40 125 199 84 131 121 91
Character a i n i d e a o f t h i s c h a p t e r ,
Milliseconds 164 80 52 44 120 50 154 93 104 115 115 94 62 86 50 25 157 260 73 79 36 84 111 49 92
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 9 109 82 74 54 95 72 85 105 58 136 47 162 74 69 53 106 44 129 75 94 129 96 84 92
Character l i m i t p l a y s a f o u n d a t i o n
Milliseconds 73 76 50 109 70 118 80 60 49 108 148 125 65 126 75 97 106 60 218 93 70 76 48 0 69
Character a l r o l e t h r u o g h o u -u -o -h -g -o -u o u
Milliseconds 88 483 45 233 88 137 73 61 231 44 93 69 9 89 80 73 73 193 97 98 123 115 97 238 98
Character g h o u t c l a c -c -a -l a l c u l u s .
Milliseconds 262 65 78 66 87 80 121 115 0 226 278 91 112 132 91 86 89 117 45 101 53
WPM Timing
Seconds WPM
2.14 67.14
4.29 92.32
6.43 93.25
8.58 83.92
10.72 90.64
12.87 88.59
15.01 91.92
17.16 94.41
19.3 98.84
21.45 102.95
23.59 99.69
25.74 99.31
27.88 99.42
30.03 101.51
32.17 99.96
34.32 96.51
36.46 96.1
38.61 94.8
40.75 96
42.9 95.11
45.04 94.85
47.19 95.37
49.33 96.33
51.48 94.41
53.62 96.46
55.77 98.13
57.91 98.43
60.05 95.91
62.2 95.89
64.34 95.67
66.49 96.2
68.63 94.94
70.78 95.45
72.92 93.63
75.07 94.79
77.21 95.74
79.36 96.78
81.5 96.29
83.65 95.4
85.79 95.25
87.94 96.21
90.08 96.31
92.23 97.07
94.37 96.77
96.52 96.73
98.66 97.55
100.81 98.33
102.95 98.38
105.1 97.28
107.24 96.68