KaiKai (kaikai_panda)

Race #1765

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Official speed 107.64 wpm (96.32 seconds elapsed during race)
Without ending ping 107.96 wpm (282 ms delay sending score to TypeRacer’s server)
Timerless 108.26 wpm (272 ms elapsed before first character typed; 95.77 seconds elapsed during race)
Timerless minus one 108.14 wpm, ignoring the first character typed
Race Start March 26, 2024 6:12:35am UTC
Race Finish March 26, 2024 6:14:11am UTC
Outcome No win (2 of 5)
Opponents 1. ttplaya_02 (109.88 wpm)
3. typewriteer69 (80.30 wpm)
Accuracy 98.3%
Points 290.63
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 toa tool that helps us understand how a change in one quantity is related to a change in anohtether. Hoew does the speed ofa a 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 hep ulp us see more and more. In this section we introduce the ideas of average and instantaneous rates of change a, and show that they are closely related to the slope of a curve at a point P on the urcurve. We give precise developments of these importants concepts in the next chapter, but for now se we use an informal approach so you will see how they lead naturally to mthe ain main idea of this chapter, the limit. The idea of a limit plays a foundationsal frole throughout calculus.
Timing
Character C a l c u l u s i s t o -o -t a t o o l t h
Milliseconds 272 171 114 114 78 125 104 143 74 59 259 71 79 74 330 96 112 85 128 71 150 203 111 82 71
Character a t h e l p s u s u n d e r s t a n d h o
Milliseconds 91 21 84 19 91 125 166 117 69 84 82 111 117 160 47 177 70 113 67 78 77 70 77 71 83
Character w a c h a n g e i n o n e q u a n t i t
Milliseconds 82 113 69 107 112 66 93 75 116 78 4 118 67 133 59 71 84 129 123 76 126 81 114 70 128
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 70 100 119 63 119 64 70 100 120 76 63 178 68 108 24 78 82 93 92 85 100 76 74 82 26
Character i n a n o h t e -e -t -h t h e r . H o e -e w d
Milliseconds 106 54 79 87 36 109 121 70 165 255 124 133 107 82 67 83 54 77 182 93 130 251 93 78 89
Character o e s t h e s p e e d o f a - - -a a -
Milliseconds 82 93 60 66 114 49 105 112 151 134 62 123 152 67 66 95 76 22 240 253 130 121 112 66 449
Character -a a f a l l i n g o b j e c t c h a n g e
Milliseconds 134 150 95 106 79 64 36 120 53 78 55 73 39 102 79 97 271 176 89 123 61 91 81 66 64
Character a s a f u n c t i o n o f t i m e ? H
Milliseconds 204 108 53 72 95 73 128 57 162 83 115 64 95 88 51 115 82 97 83 25 68 64 215 154 204
Character o w d o e s t h e l e v e l o f w a t e
Milliseconds 147 99 95 87 66 91 61 69 112 14 225 98 115 0 151 96 38 52 117 45 138 15 139 55 122
Character r i n a b a r r e l c h a n g e a s a
Milliseconds 83 66 34 131 50 137 115 152 148 94 169 79 105 56 114 48 136 51 64 69 80 82 85 101 98
Character f u n c t i o n o f t h e a m o u n t o
Milliseconds 137 225 57 165 37 162 34 85 82 41 109 59 127 50 134 49 134 113 100 131 70 164 81 73 62
Character f l i q u i d p o u r e d i n t o i t ?
Milliseconds 101 84 138 153 181 79 71 129 95 79 65 112 135 87 174 51 58 95 66 102 63 87 101 200 135
Character W e s e e c h a n g e o c c u r r i n g i
Milliseconds 212 134 102 543 40 154 68 128 32 130 35 88 78 52 62 125 127 87 101 132 108 60 96 70 88
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 49 95 121 85 59 52 101 66 104 62 157 130 72 126 82 69 114 68 65 101 98 29 92 79 89
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 120 60 49 225 66 77 170 91 51 137 29 136 85 79 54 117 64 117 67 83 52 131 69 101 220
Character i v e r s e , a n d p o w e r f u l m o d e
Milliseconds 22 162 119 63 138 45 237 76 69 67 88 96 338 68 59 43 43 163 31 99 86 115 68 114 166
Character r n i n s t r u m e n t s h e p u -u - -p l p
Milliseconds 69 66 18 120 83 100 411 142 84 171 393 91 81 92 211 128 118 134 140 67 189 153 131 155 137
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 73 86 195 91 129 59 142 63 82 53 48 63 63 74 84 61 91 45 68 82 46 167 107 266 132
Character t h i s s e c t i o n w e i n t r o d u c
Milliseconds 73 123 27 56 102 84 85 62 192 148 45 137 84 47 74 60 78 112 80 85 148 80 100 69 170
Character e t h e i d e a s o f a v e r a g e a n
Milliseconds 183 92 170 82 117 97 122 83 194 12 360 159 79 98 80 134 103 131 86 113 96 88 12 122 46
Character d i n s t a n t a n e o u s r a t e s o f
Milliseconds 108 79 68 91 71 89 83 137 156 129 461 56 259 46 96 117 130 86 121 51 51 69 72 296 117
Character c h a n g e a -a - , a n d s h o w t h a t
Milliseconds 207 104 71 109 71 52 183 120 218 113 177 77 95 91 60 115 166 65 35 121 121 111 82 52 71
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 42 110 37 101 90 75 34 71 50 67 186 80 192 75 33 105 71 16 125 48 86 115 63 54 170
Character t o t h e s l o p e o f a c u r v e
Milliseconds 88 139 31 71 76 66 77 115 58 93 147 110 76 84 80 81 90 86 98 99 73 128 355 94 119
Character a t a p o i n t P o n t h e u r -r -u c
Milliseconds 116 101 13 785 77 120 98 74 83 11 256 158 165 112 92 37 98 83 84 90 164 113 303 127 94
Character u r v e . W e g i v e p r e c i s e d e v
Milliseconds 84 90 170 89 41 73 199 148 98 137 76 324 74 104 102 83 85 253 120 446 83 137 104 172 100
Character e l o p m e n t s o f t h e s e i m p o r t
Milliseconds 83 18 162 68 104 88 95 51 86 67 83 93 102 100 89 107 9 114 51 81 135 67 82 99 130
Character a n t s -s c o n c e p t s i n t h e n e x
Milliseconds 85 31 72 116 416 128 104 100 87 98 164 56 115 65 65 73 66 65 62 103 82 104 17 83 262
Character t c h a p t e r , b u t f o r n o w s e
Milliseconds 151 286 193 78 96 131 170 185 59 120 81 202 111 77 91 103 60 120 65 57 64 114 70 114 72
Character - -e -s w e u s e a n i n f o r m a l a p
Milliseconds 110 390 124 121 119 39 79 72 78 32 103 97 73 51 106 87 82 83 84 99 66 124 73 88 66
Character p r o a c h s o y o u w i l l s e e h o
Milliseconds 152 97 101 86 133 79 98 142 82 63 71 116 78 36 109 44 79 119 83 79 70 105 113 80 83
Character w t h e y l e a d n a t u r a l l y t o
Milliseconds 145 77 101 29 122 69 78 117 30 104 111 90 100 81 88 91 105 62 37 148 82 39 113 70 82
Character m -m t h e a i n -a -i -n - m a i n i d e a o
Milliseconds 164 266 90 60 85 86 179 176 60 44 339 0 0 0 319 62 180 102 51 169 83 141 45 88 42
Character f t h i s c h a p t e r , t h e l i m i t
Milliseconds 69 116 90 60 50 81 109 90 83 87 102 281 131 83 181 75 103 63 59 104 79 72 184 184 148
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 151 107 201 83 74 87 38 92 167 46 51 50 87 100 84 105 122 86 101 86 98 103 105 78 70
Character y s a f o u n d a t i o n s -s a l f -f r o l
Milliseconds 109 83 82 88 98 71 79 55 162 39 99 66 20 76 48 88 384 148 101 82 137 282 79 62 177
Character e t h r o u g h o u t c a l c u l u s .
Milliseconds 46 119 79 204 81 89 56 90 67 165 71 66 102 115 116 13 151 97 338 51 119 111
WPM Timing
Seconds WPM
1.93 74.75
3.85 87.21
5.78 101.74
7.71 109.01
9.63 114.62
11.56 110.05
13.48 108.57
15.41 100.45
17.34 100.36
19.26 102.78
21.19 104.76
23.12 107.45
25.04 108.77
26.97 109.46
28.9 110.05
30.82 109.4
32.75 109.19
34.68 110.74
36.6 111.8
38.53 112.12
40.45 113.01
42.38 110.99
44.31 108.6
46.23 109.79
48.16 110.63
50.09 109.73
52.01 110.51
53.94 109.9
55.87 108.47
57.79 109.63
59.72 110.52
61.65 110.37
63.57 109.48
65.5 108.46
67.42 108.03
69.35 107.97
71.28 108.08
73.2 108.35
75.13 107.65
77.06 106.83
78.98 107.72
80.91 108.27
82.84 109.08
84.76 107.59
86.69 107.97
88.62 107.79
90.54 108.15
92.47 108.49
94.39 107.93
96.32 107.64