Owen (luoowen)

Race #651

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Official speed 112.51 wpm (92.15 seconds elapsed during race)
Without ending ping 112.57 wpm (52 ms delay sending score to TypeRacer’s server)
Timerless 112.89 wpm (255 ms elapsed before first character typed; 91.85 seconds elapsed during race)
Timerless minus one 112.76 wpm, ignoring the first character typed
Race Start November 22, 2023 7:53:12am UTC
Race Finish November 22, 2023 7:54:44am UTC
Outcome Win (1 of 4)
Accuracy 97.8%
Points 303.78
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 is on 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. ? wWe see change occuring iring 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 anvverage and instantaneous rates of change, and wshow that thye are ceyu y are closely related to teh slhe slope of a curve at a point P on teh cuhe curve. We give precise developmenetsts of these important conceps its in teh next he nxtext chapter, but for noww we use an informal approach so tyou will see how they wlead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout claalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 255 186 117 153 94 266 152 119 75 81 107 14 150 20 143 68 120 138 66 70 80 17 75 10 108
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 122 52 147 66 8 138 90 86 107 138 51 143 53 115 60 83 41 111 29 119 61 63 42 95 43
Character c h a n g e i s o -o - -s n o n e q u a n t
Milliseconds 111 26 106 65 94 44 32 63 61 73 143 231 120 110 208 50 50 106 76 75 150 88 77 98 106
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 95 52 171 80 147 70 108 80 65 68 96 65 84 110 95 83 76 102 27 133 81 56 76 89 79
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 54 43 59 101 54 68 96 83 58 67 65 78 62 88 169 57 93 87 99 60 83 60 36 97 48
Character e s p e e d o f a f a l l i n g o b j e
Milliseconds 55 93 87 81 83 114 142 28 81 64 87 44 85 175 69 45 140 104 85 25 68 95 115 134 28
Character c t c h a n g e a s a f u n c t i o n o
Milliseconds 99 191 64 104 69 66 88 76 122 99 142 84 100 86 87 80 64 149 43 174 12 43 57 80 44
Character f t i m e ? H o w d o e s t h e l e v e
Milliseconds 84 51 98 15 101 69 148 90 186 78 113 212 57 104 50 55 85 72 36 44 51 131 38 121 60
Character l o f w a t e r i n a b a r r e l c h
Milliseconds 57 110 77 48 60 105 55 81 97 52 61 60 81 65 32 98 114 63 136 144 117 86 196 117 53
Character a n g e a s a f u n c t i o n o f t h e
Milliseconds 96 89 82 57 90 66 70 87 57 79 75 73 153 34 186 17 53 48 93 47 93 52 117 26 45
Character a m o u n t o f l i q u i d p o u r e d
Milliseconds 60 96 60 91 122 135 50 52 66 66 52 74 138 66 117 67 153 193 206 103 163 69 66 154 35
Character i n t o i t . - -. ? w -w W e s e e c h a
Milliseconds 57 81 82 78 70 73 91 119 54 240 234 218 76 315 280 95 151 92 94 79 136 51 148 35 31
Character n g e o c c u r i n g i -i - -g -n -i r i n g i
Milliseconds 125 58 41 36 246 93 143 107 106 92 58 74 25 103 240 110 136 106 93 123 89 78 76 37 65
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 67 77 89 23 52 77 57 132 33 104 138 170 9 183 123 17 66 105 56 88 64 56 78 134 96
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 96 54 97 171 139 62 47 108 74 65 69 15 114 85 28 147 30 119 65 116 35 89 15 136 140
Character i v e r s e , a n d p o w e r f u l m o d e
Milliseconds 49 71 165 476 177 116 302 117 66 76 32 89 120 34 116 59 56 162 48 124 73 136 60 36 157
Character r n i n s t r u m e n t s h e l p u s s e
Milliseconds 60 91 75 94 76 59 106 140 82 180 88 65 72 78 36 107 74 76 144 62 113 57 118 107 323
Character e m o r e a n d m o r e . I n t h i s
Milliseconds 146 42 87 48 75 60 47 81 61 82 29 129 81 36 59 133 60 156 85 97 44 88 45 56 63
Character s e c t i o n w e i n t r o d u c e t h e
Milliseconds 111 30 215 234 47 52 44 88 41 67 75 159 84 45 142 54 97 113 70 218 96 85 55 59 44
Character i d e a s o f a n v -v -n v e r a g e a n d
Milliseconds 94 39 143 54 71 80 68 66 70 63 125 73 208 112 77 88 123 116 103 41 36 92 61 84 6
Character i n s t a n t a n e o u s r a t e s o f c h
Milliseconds 108 103 74 162 62 137 118 339 148 200 138 116 106 64 186 79 88 52 79 56 111 19 64 172 63
Character a n g e , a n d w -w s h o w t h a t t h y
Milliseconds 62 146 73 33 172 57 71 72 80 35 138 251 135 74 55 39 69 96 64 28 85 6 121 11 167
Character e a r e c -c - -e -r -a - -e -y e y u - -u -y y a
Milliseconds 0 109 61 85 71 44 233 165 116 127 131 140 144 114 200 122 99 0 99 271 124 132 344 97 93
Character r e c l o s e l y r e l a t e d t o t e h
Milliseconds 212 57 36 135 53 133 46 50 130 135 56 99 41 155 83 88 58 142 59 124 103 109 39 72 20
Character s l -l -s - -h -e h e s l o p e o f a c u r
Milliseconds 149 5 88 230 107 128 95 96 180 52 59 106 68 157 110 62 46 110 31 96 64 92 85 108 94
Character v e a t a p o i n t P o n t e h c u
Milliseconds 153 84 84 67 106 35 181 58 108 78 170 71 56 84 153 165 112 122 80 60 71 0 84 87 90
Character -u -c - -h -e h e c u r v e . W e g i v e p r
Milliseconds 170 113 119 118 366 206 67 67 103 77 261 252 76 86 88 170 112 96 95 83 109 62 54 88 93
Character e c i s e d e v e l o p m e n e t s -s -t -e t s
Milliseconds 62 167 68 87 64 119 115 137 114 65 50 152 132 99 56 112 95 105 117 158 115 97 85 84 22
Character o f t h e s e i m p o r t a n t c o n c e p
Milliseconds 48 119 30 131 22 49 79 79 68 80 132 59 73 27 150 48 51 85 92 114 43 102 77 190 109
Character s i -i - -s t s i n t e h n e x t - -t -x -e
Milliseconds 141 133 57 255 128 116 26 97 94 71 93 96 28 103 0 77 119 49 86 141 109 153 110 121 104
Character -n - -h -e h e n x t -t -x e x t c h a p t e r ,
Milliseconds 108 102 114 109 282 107 115 116 88 137 384 126 69 125 69 92 143 53 131 56 228 122 63 72 88
Character b u t f o r n o w w - -w w e u s e a n
Milliseconds 103 116 83 7 152 125 105 132 196 56 52 240 0 247 98 131 71 44 77 109 79 97 91 90 51
Character i n f o r m a l a p p r o a c h s o t -t y
Milliseconds 108 96 62 60 68 117 64 67 130 103 124 111 112 53 77 76 89 99 120 13 114 75 65 253 135
Character o u w i l l s e e h o w t h e y w -w l e
Milliseconds 33 97 46 243 49 61 131 70 85 76 123 35 115 69 101 51 114 55 82 64 63 112 241 174 26
Character a d n a t u r a l l y t o t h e m a i n
Milliseconds 50 95 68 88 73 80 108 67 73 63 146 24 77 93 72 70 104 42 59 30 115 139 49 37 96
Character i d e a o f t h i s c h a p t e r , t h e
Milliseconds 84 64 159 44 115 72 20 111 57 55 55 31 60 126 67 102 49 100 73 77 59 68 143 55 119
Character l i m i t . T h e i d e a o f a l i m
Milliseconds 28 92 116 105 121 54 142 42 195 70 75 60 110 104 174 18 76 89 27 97 19 101 155 126 104
Character i t p l a y s a f o u n d a t i o n a l r
Milliseconds 110 30 96 96 73 71 60 131 14 124 52 114 53 95 140 28 76 121 35 37 38 109 113 135 161
Character o l e t h r o u g h o u t c l a -a -l a l c u l
Milliseconds 74 151 65 73 111 27 109 24 108 73 75 31 138 33 51 127 72 96 295 110 62 145 53 108 135
Character u s .
Milliseconds 91 55 142
WPM Timing
Seconds WPM
1.84 91.15
3.69 113.94
5.53 125.88
7.37 115.57
9.22 119.8
11.06 126.96
12.9 129.29
14.74 128.59
16.59 130.22
18.43 132.82
20.27 132.59
22.12 134.56
23.96 133.22
25.8 129.29
27.65 126.75
29.49 122.08
31.33 123.71
33.17 124.79
35.02 123.02
36.86 123.38
38.7 124.02
40.55 124.3
42.39 124.84
44.23 125.61
46.08 124.75
47.92 123.46
49.76 122.99
51.61 121.15
53.45 117.42
55.29 117.63
57.13 115.73
58.98 116.18
60.82 115.42
62.66 113.56
64.51 113.85
66.35 113.04
68.19 113.85
70.04 112.4
71.88 110.19
73.72 109.06
75.56 108.62
77.41 109.14
79.25 109.02
81.09 109.21
82.94 110.25
84.78 111.39
86.62 111.66
88.47 112.31
90.31 112.95
92.15 112.51