Fuzusu (fuzusu)

Race #1033

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Official speed 108.63 wpm (95.44 seconds elapsed during race)
Without ending ping 108.94 wpm (270 ms delay sending score to TypeRacer’s server)
Timerless 109.62 wpm (594 ms elapsed before first character typed; 94.58 seconds elapsed during race)
Timerless minus one 109.50 wpm, ignoring the first character typed
Race Start January 10, 2024 9:54:42pm UTC
Race Finish January 10, 2024 9:56:18pm UTC
Outcome Win (1 of 2)
Opponents 2. pjonathan (105.05 wpm)
Accuracy 97.7%
Points 293.30
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 Caolculus is a tolol that helps uis sun understand how a change in one quanittity is related to a change in another. howHow 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 beobserve in the world and universe, and opwipowerful modern instruments lhelp us see more and more. In this section we introduce the ideaas ofss of average and instanteaneous rates of change, and show that ht they are closely related to the slope of acur 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 a nn informal paappropachach so you will see how they lead naturally to the main idea of this chatppter, the limit. WThe idea of a limit plays a foundational role throughout calculus.
Timing
Character C a o -o l c u l u s i s a t o l -l o l t h
Milliseconds 594 163 300 430 276 135 145 118 150 125 87 72 105 93 93 112 104 51 175 340 66 177 114 78 77
Character a t h e l p s u i s - -s -i s u n -n -u u n d
Milliseconds 50 96 33 50 147 111 165 119 73 153 26 97 129 242 127 129 94 176 74 227 109 77 133 35 48
Character e r s t a n d h o w a c h a n g e i n o
Milliseconds 110 86 105 82 98 84 80 62 96 29 59 70 114 75 90 55 99 118 75 28 44 76 66 64 125
Character n e q u a n i t -t -i t i t y i s r e l a t e
Milliseconds 81 78 72 92 124 172 94 79 87 248 125 70 110 62 171 109 76 61 103 107 57 80 100 77 64
Character d t o a c h a n g e i n a n o t h e r .
Milliseconds 160 83 92 46 84 121 124 170 0 473 83 94 35 68 71 76 95 22 85 52 64 112 40 77 70
Character h o w -w -h -o H o w d o e s t h e s p e e d
Milliseconds 136 138 78 115 306 129 0 415 168 109 77 114 120 29 192 127 81 62 109 52 51 78 97 127 116
Character o f a f a l l i n g o b j e c t c h a n
Milliseconds 29 309 61 84 103 96 185 42 57 136 69 73 18 65 118 108 200 79 66 191 64 137 78 71 109
Character g e a s a f u n c t i o n o f t i m e ?
Milliseconds 59 82 61 120 122 112 62 132 111 93 94 106 169 90 60 31 51 121 57 97 83 68 64 56 127
Character H o w d o e s t h e l e v e l o f w a
Milliseconds 103 111 172 78 69 76 104 59 83 57 73 59 78 84 69 51 122 77 82 100 113 132 104 73 72
Character t e r i n a b a r r e l c h a n g e a s
Milliseconds 82 121 79 34 91 60 49 111 82 91 114 87 142 80 59 111 75 43 101 77 59 55 83 110 50
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 97 80 140 221 125 133 19 436 67 103 15 72 112 85 85 98 56 98 26 124 25 128 43 96 89
Character o f l i q u i d p o u r e d i n t o i t
Milliseconds 43 103 75 65 57 80 123 88 64 135 85 113 0 498 212 89 180 46 118 79 92 50 97 113 65
Character ? W e s e e c h a n g e o c c u r r i n g
Milliseconds 147 105 91 218 109 73 52 133 83 89 60 66 126 39 51 76 92 134 139 72 124 157 122 64 41
Character i n n e a r l y e v e r y t h i n g w e
Milliseconds 79 105 86 53 109 89 73 67 68 120 116 134 120 69 96 91 165 70 46 122 9 63 80 69 89
Character b e -e -b o b s e r v e i n t h e w o r l d
Milliseconds 61 100 256 112 186 55 122 81 123 205 74 81 66 48 80 78 36 86 70 25 76 121 51 148 70
Character a n d u n i v e r s e , a n d o p w i -i -w -p
Milliseconds 39 88 90 17 308 104 90 96 112 107 92 77 89 121 81 71 71 65 189 0 67 0 268 137 128
Character -o p o w e r f u l m o d e r n i n s t r u m e
Milliseconds 164 252 37 46 27 55 165 30 55 191 220 64 100 111 72 46 110 55 78 54 142 82 62 164 102
Character n t s l -l h e l p u s s e e m o r e a n
Milliseconds 63 98 181 138 121 253 113 41 89 61 314 138 74 92 104 89 134 67 68 46 58 20 127 46 97
Character d m o r e . I n t h i s s e c t i o n w
Milliseconds 64 42 88 45 65 37 110 107 134 110 37 107 95 46 54 102 57 41 163 173 67 93 13 39 74
Character e i n t r o d u c e t h e i d e a a s o f
Milliseconds 71 87 76 82 47 50 503 101 152 111 69 89 110 40 76 56 76 92 106 55 115 14 74 84 106
Character -f -o - -s s -s -a s o f a v e r a g e a n d i
Milliseconds 215 125 132 138 163 170 115 79 84 153 95 71 81 234 118 102 115 136 68 83 119 80 88 53 93
Character n s t a n t e -e a n e o u s r a t e s o f c
Milliseconds 72 41 100 119 20 147 238 418 90 117 311 88 66 55 125 97 111 97 117 83 81 72 103 70 178
Character h a n g e , a n d s h o w t h a t h t -
Milliseconds 65 69 116 79 44 87 56 98 65 57 69 101 116 43 88 80 99 61 53 93 58 74 61 16 251
Character -t -h t h e y a r e c l o s e l y r e l a t e
Milliseconds 118 106 90 98 47 89 62 92 76 74 73 167 92 145 65 46 107 105 91 95 62 77 117 56 97
Character d t o t h e s l o p e o f a c u r -r -u -c
Milliseconds 235 100 84 75 76 65 72 70 54 100 58 157 79 43 54 110 78 84 37 146 132 102 243 128 133
Character c u r v e a t a p o i n t P o n t h
Milliseconds 86 68 125 87 240 100 81 146 45 80 71 41 95 20 175 65 51 52 155 135 226 83 55 70 86
Character e c u r v e . W e g i v e p r e c i s e
Milliseconds 17 113 190 44 138 183 70 71 88 127 186 67 101 82 106 61 62 82 75 60 141 61 115 120 171
Character d e v e l o p m e n t s o f t h e s e i m p
Milliseconds 98 93 132 83 49 352 129 181 86 91 73 81 80 49 101 105 74 83 76 85 121 83 84 77 79
Character o r t a n t c o n c e p t s i n t h e n e
Milliseconds 81 57 77 85 98 66 88 138 31 68 108 72 148 68 134 94 63 71 71 65 51 61 110 43 63
Character x t c h a p t e r , b u t f o r n o w w
Milliseconds 80 70 92 108 46 98 97 122 65 84 85 85 106 53 62 96 112 32 121 55 53 43 48 369 77
Character e u s e a n -n - n i n f o r m a l p a -a
Milliseconds 89 84 98 100 36 102 90 115 0 309 122 208 113 80 74 87 91 105 78 90 83 120 100 44 258
Character -p a p p r o p a c h -h -c -a -p a c h s o y o u
Milliseconds 115 119 86 127 508 119 0 97 93 101 187 127 133 136 99 97 87 148 142 101 22 132 52 127 78
Character w i l l s e e h o w t h e y l e a d n a
Milliseconds 43 117 51 148 41 109 31 181 57 88 50 66 82 60 93 31 103 53 82 75 96 75 88 61 54
Character t u r a l l y t o t h e m a i n i d e a
Milliseconds 116 532 224 127 134 135 56 66 127 72 79 90 37 54 128 43 78 74 79 56 113 76 79 74 68
Character o f t h i s c h a t p -p -t p t e r , t h e
Milliseconds 92 87 63 81 58 41 33 101 97 149 108 132 8 354 117 190 50 68 101 71 112 128 130 100 69
Character l i m i t . W -W T h e i d e a o f a l i
Milliseconds 69 100 96 88 117 92 113 113 248 98 127 137 68 168 108 71 93 51 77 76 106 57 112 68 68
Character m i t p l a y s a f o u n d a t i o n a l
Milliseconds 67 84 66 133 98 40 74 87 116 129 70 107 50 70 46 68 408 80 106 88 111 17 196 115 183
Character r o l e t h r o u g h o u t c a l c u l u s .
Milliseconds 85 61 157 141 111 107 109 126 81 31 149 41 122 80 98 72 134 106 44 109 132 103 121 90 93
WPM Timing
Seconds WPM
1.91 25.15
3.82 53.43
5.73 64.96
7.64 69.15
9.54 84.24
11.45 85.91
13.36 89.81
15.27 85.65
17.18 89.41
19.09 92.41
21 96.01
22.91 100.06
24.82 103
26.72 104.62
28.63 106.45
30.54 105.69
32.45 106.87
34.36 108.27
36.27 107.86
38.18 109.07
40.09 109.26
42 107.44
43.9 107.42
45.81 107.92
47.72 109.64
49.63 110.01
51.54 106.87
53.45 107.77
55.36 106.22
57.27 107.5
59.17 107.07
61.08 107.85
62.99 107.06
64.9 107.42
66.81 107.77
68.72 107.74
70.63 108.57
72.54 109.68
74.45 110.25
76.35 109.7
78.26 108.4
80.17 107.47
82.08 108.48
83.99 108.01
85.9 108.97
87.81 108.51
89.72 108.21
91.63 108.7
93.53 108.54
95.44 108.63