Parallaxes (parallaxes)

Race #182

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Official speed 107.82 wpm (96.16 seconds elapsed during race)
Without ending ping 107.92 wpm (93 ms delay sending score to TypeRacer’s server)
Timerless 108.33 wpm (363 ms elapsed before first character typed; 95.70 seconds elapsed during race)
Timerless minus one 108.21 wpm, ignoring the first character typed
Race Start February 6, 2024 7:14:19pm UTC
Race Finish February 6, 2024 7:15:55pm UTC
Outcome Win (1 of 2)
Opponents 2. true1 (96.28 wpm)
Accuracy 97.6%
Points 291.13
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 Calulusculus is ate tool that helps us understand how a change in one cquantity is related to a change in another. How does the speed ofa t a falling obejject chang ae as a function of time? How does the level of water in a barrel change as a function of the amountof of liquid poured into it? We see change occurring in nearly everything we observe in the wolrld and universe, and powerulful modenr rn instruments help us see more and more. In this section we introduce the ideas of average and instantaneous rates of change, and hoshow that they are closely related to the slope of a curve at a point P on the curve. We give precise developments of these imporanttant conecepts in the next chapter, but for now we use an informal appraooach so you will see how they lead neaturally to mtthe main idea of ths cis chapter, the limit. Theidea idea of a limit plays a foundatinaonal role throughout calculus.
Timing
Character C a l u l u s -s -u -l -u c u l u s i s a t e -e -t
Milliseconds 363 131 61 157 137 134 87 158 101 87 122 133 69 141 133 37 78 93 27 98 97 185 139 283 117
Character t o o l t h a t h e l p s u s u n d e r
Milliseconds 411 86 84 97 126 73 50 94 33 58 56 63 82 93 33 59 79 62 61 75 118 129 78 34 99
Character s t a n d h o w a c h a n g e i n o n e
Milliseconds 84 116 42 84 63 64 107 106 29 69 80 88 69 55 76 58 102 41 35 92 33 68 110 73 59
Character c -c q u a n t i t y i s r e l a t e d t o
Milliseconds 59 119 249 73 100 85 88 224 150 95 293 116 113 122 71 46 67 80 80 67 53 114 70 73 50
Character a c h a n g e i n a n o t h e r . H o w
Milliseconds 81 53 102 64 88 78 55 80 58 29 75 48 64 52 91 107 62 96 61 39 111 101 146 78 89
Character d o e s t h e s p e e d o f a t -t - -
Milliseconds 266 147 139 36 111 47 82 49 80 48 89 79 79 103 101 70 75 53 90 0 149 95 248 104 200
Character - -a a f a l l i n g o b e j -j -e j e c t
Milliseconds 269 106 115 147 99 103 83 38 101 105 138 119 46 42 84 133 63 102 209 83 149 66 51 135 53
Character c h a n g a -a - e a s a f u n c t i o n
Milliseconds 116 92 71 86 52 56 23 381 120 87 76 78 77 79 74 74 70 111 138 58 141 36 55 84 64
Character o f t i m e ? H o w d o e s t h e l e v
Milliseconds 84 62 54 70 44 129 44 166 162 144 393 114 179 236 75 66 100 87 49 41 91 75 176 106 58
Character e l o f w a t e r i n a b a r r e l c
Milliseconds 72 100 98 111 59 106 72 77 73 119 62 67 143 32 88 30 121 184 49 112 120 85 93 70 126
Character h a n g e a s a f u n c t i o n o f t h
Milliseconds 85 85 33 123 37 50 98 63 73 63 105 66 91 135 38 123 71 25 109 59 100 38 86 63 61
Character e a m o u n t o f - -f -o o f l i q u i d
Milliseconds 70 75 71 62 117 70 137 75 120 115 92 132 94 105 118 84 74 74 76 142 115 119 53 198 125
Character p o u r e d i n t o i t ? W e s e e c h
Milliseconds 109 42 304 409 70 97 88 76 52 43 122 105 163 65 175 137 153 318 128 84 151 98 73 77 105
Character a n g e o c c u r r i n g i n n e a r l y
Milliseconds 66 80 74 52 40 241 419 107 106 78 88 96 129 36 58 106 127 86 157 75 51 59 104 95 47
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 89 125 104 84 73 143 94 100 46 54 88 106 157 123 210 150 102 110 316 172 73 103 81 46 64
Character t h e w o l -l r l d a n d u n i v e r s e ,
Milliseconds 29 95 40 110 56 70 138 403 100 100 83 77 78 119 76 56 283 172 167 55 134 45 148 140 95
Character a n d p o w e r u l -l -u f u l m o d e n r
Milliseconds 68 51 98 58 61 160 30 83 120 120 126 196 272 76 90 75 149 77 122 86 95 40 89 61 133
Character - -r -n r n i n s t r u m e n t s h e l p u s
Milliseconds 190 92 109 127 108 107 77 44 271 136 59 61 185 124 58 75 48 121 268 157 79 32 142 211 86
Character s e e m o r e a n d m o r e . I n t h
Milliseconds 101 144 189 117 107 34 87 73 42 63 46 88 58 46 67 86 34 64 128 66 175 122 67 101 55
Character i s s e c t i o n w e i n t r o d u c e t
Milliseconds 59 73 68 101 176 133 182 0 29 115 23 62 124 84 106 30 27 84 135 89 154 58 78 62 87
Character h e i d e a s o f a v e r a g e a n d i
Milliseconds 113 45 90 110 34 60 60 88 74 152 57 70 87 121 125 66 88 94 29 94 47 126 104 394 152
Character n s t a n t a n e o u s r a t e s o f c h a
Milliseconds 64 51 95 67 110 196 166 328 116 116 63 93 94 387 47 129 0 131 213 218 97 64 159 127 38
Character n g e , a n d h o -o -h s h o w t h a t t h
Milliseconds 114 39 60 95 91 33 142 90 103 126 104 227 96 79 111 96 28 90 80 92 27 67 35 92 96
Character e y a r e c l o s e l y r e l a t e d t o
Milliseconds 63 90 82 73 70 57 87 143 90 131 27 136 70 374 116 119 71 107 88 81 57 95 91 76 56
Character t h e s l o p e o f a c u r v e a t
Milliseconds 107 29 94 72 59 75 127 129 51 106 55 77 71 41 102 346 405 139 36 335 30 122 52 85 79
Character a p o i n t P o n t h e c u r v e . W
Milliseconds 20 127 75 31 251 176 56 38 146 130 127 93 72 38 63 66 68 65 85 96 231 38 124 106 335
Character e g i v e p r e c i s e d e v e l o p m e n
Milliseconds 240 123 158 124 65 39 96 78 34 58 251 111 88 122 76 189 0 455 46 89 133 20 194 70 87
Character t s o f t h e s e i m p o r a n t -t -n -a t a
Milliseconds 44 64 155 110 62 74 47 57 82 104 132 45 90 119 135 34 24 97 145 74 241 87 94 70 64
Character n t c o n e -e c e p t s i n t h e n e x t
Milliseconds 92 63 93 80 79 42 159 221 242 76 82 73 72 147 103 59 56 39 81 46 108 48 72 107 142
Character c h a p t e r , b u t f o r n o w w e
Milliseconds 76 97 104 93 87 53 123 55 86 114 190 103 85 86 81 79 76 72 52 108 55 99 45 183 152
Character u s e a n i n f o r m a l a p p r a o -o -a o
Milliseconds 112 76 110 39 117 46 109 47 131 36 109 59 78 90 68 81 51 190 85 57 74 93 251 94 123
Character a c h s o y o u w i l l s e e h o w t
Milliseconds 33 44 110 86 89 104 97 76 79 51 54 60 88 178 56 83 41 168 96 118 106 114 68 66 87
Character h e y l e a d n e -e a t u r a l l y t o m
Milliseconds 113 85 92 109 99 78 35 100 77 156 206 454 121 75 126 60 46 113 86 15 55 102 67 88 111
Character t -t -m t h e m a i n i d e a o f t h s c
Milliseconds 419 234 93 131 95 57 88 47 78 69 42 110 115 66 51 40 440 103 65 78 41 55 137 103 207
Character -c - -s i s c h a p t e r , t h e l i m i t .
Milliseconds 250 74 92 230 92 63 57 95 70 108 56 112 66 68 96 37 69 72 60 89 126 132 117 72 117
Character T h e i d e a - -a -e -d -i i d e a o f a
Milliseconds 123 168 128 82 375 80 55 25 143 246 99 99 105 116 112 89 40 88 31 134 98 66 68 33 110
Character l i m i t p l a y s a f o u n d a t i n a -a
Milliseconds 62 125 117 144 62 29 100 27 72 129 82 88 46 107 64 67 38 105 42 49 112 47 158 73 280
Character -n o n a l r o l e t h r o u g h o u t c a l
Milliseconds 113 139 143 82 90 83 50 98 122 56 81 61 70 97 80 44 79 69 113 57 50 68 229 78 98
Character c u l u s .
Milliseconds 102 86 131 129 76 80
WPM Timing
Seconds WPM
1.92 37.44
3.85 53.04
5.77 87.35
7.69 99.83
9.62 102.33
11.54 112.31
13.46 114.99
15.39 105.29
17.31 103.99
19.23 104.2
21.16 103.24
23.08 106.59
25 108.95
26.92 111.87
28.85 109.4
30.77 108.41
32.69 107.54
34.62 108.15
36.54 108.37
38.46 107.32
40.39 107.56
42.31 106.36
44.23 104.99
46.16 104.77
48.08 106.82
50 107.75
51.93 109.08
53.85 108.08
55.77 107.58
57.7 107.94
59.62 108.09
61.54 109.39
63.47 108.72
65.39 109.01
67.31 108.57
69.24 108.5
71.16 108.1
73.08 108.37
75.01 108.79
76.93 109.5
78.85 109.42
80.77 109.79
82.7 109.56
84.62 108.91
86.54 107.6
88.47 108.24
90.39 106.74
92.31 107.63
94.24 107.35
96.16 107.82