(amigo_amor)

Race #9635

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Official speed 94.82 wpm (109.34 seconds elapsed during race)
Without ending ping 95.03 wpm (242 ms delay sending score to TypeRacer’s server)
Timerless 95.32 wpm (333 ms elapsed before first character typed; 108.77 seconds elapsed during race)
Timerless minus one 95.21 wpm, ignoring the first character typed
Race Start November 21, 2023 4:42:00am UTC
Race Finish November 21, 2023 4:43:49am UTC
Outcome No win (2 of 3)
Opponents 1. knight_oikos (134.78 wpm)
Accuracy 96.6%
Points 256.00
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 understnad and how a change in one quantity is realalated to a change in another. How does the speed of a falling obejcjecft cht changes as as a function of time? How does the level of water in a brrearerrel changes as a as a function of the amount of qliquid poured into it? We csee change occuring inring in nearly everythging wverything we poobserve in the world and univesrrse, and powerful modern instrucments hnstruments help us see more and more. In this section we intrioduce the ideas of average and instanteaneous rates of thechange, and show that they are closely related to thes l slop oe of a curve at a point P ojnn the curve. We give pricesecise developments of the imse important concept s s in the next chapter, but for now we use an informatl approac h so you will see how they lead naturealally to the main idea of this chapter, the limit. The idea of a limit plays a foundations al role throughout calculaus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 333 94 102 88 166 284 290 87 76 90 135 73 109 80 67 90 135 132 66 60 74 31 87 61 26
Character e l p s u s u n d e r s t n a d - -d -a -n a n
Milliseconds 108 122 44 119 78 130 93 77 163 29 93 75 74 105 78 180 57 122 134 133 153 149 135 119 76
Character d h o w a c h a n g e i n o n e q u a
Milliseconds 90 57 47 106 31 74 91 104 74 89 62 104 78 56 60 44 76 62 102 48 44 91 331 116 121
Character n t i t y i s r e a l a -a -l -a l a t e d t o
Milliseconds 703 197 90 92 180 75 105 57 73 80 58 76 76 181 179 147 134 94 43 77 103 77 73 77 75
Character a c h a n g e i n a n o t h e r . H o w
Milliseconds 41 77 107 105 106 91 73 88 59 30 73 48 47 90 73 90 45 60 91 44 93 507 183 102 61
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 45 119 93 9 49 74 75 62 55 63 104 109 103 121 58 42 64 89 92 73 77 407 178 73 135
Character i n g o b e j c -c -j -e j e c f t c h -h -c - -t -f
Milliseconds 153 42 62 41 48 136 91 25 78 270 148 135 78 55 37 117 47 89 136 103 182 149 152 148 132
Character t c h a n g e s a s - -s -a - -s a s a f
Milliseconds 76 31 147 91 48 103 46 58 77 87 124 85 48 135 135 150 151 149 166 107 90 41 91 94 163
Character u n c t i o n o f t i m e ? H o w d o e s
Milliseconds 121 42 46 134 47 120 58 75 395 72 42 109 41 33 105 166 105 119 117 92 104 454 55 108 87
Character t h e l e v e l o f w a t e r i n a
Milliseconds 15 79 57 65 57 109 70 149 47 86 0 166 81 39 62 107 59 119 46 76 74 42 91 93 87
Character b r r e -e -r -r a r e r -r -e r e l c h a n g e s
Milliseconds 43 155 162 106 241 148 138 104 90 88 181 151 134 151 32 146 138 60 104 56 92 77 60 61 89
Character a s a -a - -s -a - -s a s a f u n c t i o n
Milliseconds 105 91 39 126 176 151 132 140 152 146 91 69 82 61 149 86 105 119 33 80 148 24 153 45 46
Character o f t h e a m o u n t o f q -q l i q u i d
Milliseconds 105 44 61 90 71 50 58 89 47 56 198 34 60 24 109 118 60 77 313 195 228 193 87 154 163
Character p o u r e d i n t o i t ? W e c -c s e e
Milliseconds 62 196 9 840 78 89 78 44 56 46 93 103 140 149 89 165 87 79 195 58 133 576 87 147 92
Character c h a n g e o c c u r i n g i n -n -i - -g -n -i
Milliseconds 60 122 105 9 171 42 78 75 73 137 118 90 105 89 63 105 56 62 32 253 137 129 154 148 153
Character r i n g i n n e a r l y e v e r y t h g i n
Milliseconds 164 60 60 92 55 92 78 90 193 119 76 55 77 109 60 106 120 88 92 0 132 43 14 96 87
Character g w -v -e -r -y -t -h -g -i -n -g - -w v e r y t h i n g
Milliseconds 62 90 105 661 0 0 0 0 0 0 0 0 0 0 0 104 91 70 65 89 30 101 94 42 140
Character w e p o -o -p o b s e r v e i n t h e w o r
Milliseconds 103 56 110 223 0 407 122 252 135 149 73 47 212 162 61 93 41 75 62 89 73 47 90 89 72
Character l d a n d u n i v e s r -r -s r s e , a n d
Milliseconds 96 86 64 57 94 74 74 42 110 57 121 391 10 91 304 147 152 122 41 138 104 73 92 73 32
Character p o w e r f u l m o d e r n i n s t r u c m e
Milliseconds 91 74 31 42 62 165 73 180 76 77 87 76 77 75 117 122 89 60 44 58 155 102 105 132 110
Character n t s h -n -s -t -r -u -c -m -e -n -t -s - -h n s t r u m e
Milliseconds 104 92 75 75 107 640 0 0 0 0 0 0 0 0 0 0 0 0 32 122 43 242 129 241 208
Character n t s h e l p u s s e e m o r e a n d
Milliseconds 92 58 76 46 104 118 107 13 111 160 60 81 146 178 141 69 90 81 115 79 10 62 104 92 57
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 91 59 91 78 71 135 105 156 73 106 86 79 106 57 212 166 106 193 25 166 65 69 95 91 30
Character i n t r i -i o d u c e t h e i d e a s o f
Milliseconds 190 47 92 137 132 302 116 94 118 106 76 88 104 79 40 60 93 92 131 57 107 58 91 122 57
Character a v e r a g e a n d i n s t a n t e -e a n e o
Milliseconds 108 133 136 78 120 163 87 36 115 106 58 90 93 57 62 75 119 106 88 230 340 93 104 93 120
Character u s r a t e s o f t h e -e -h -t c h a n g e ,
Milliseconds 59 131 93 120 77 133 90 12 83 116 60 78 87 92 0 330 129 141 88 91 42 123 73 35 120
Character a n d s h o w t h a t t h e y a r e c
Milliseconds 84 45 93 88 48 58 59 92 60 56 90 108 236 122 89 104 150 94 122 54 61 104 78 14 154
Character l o s e l y r e l a t e d t o t h e s l -l
Milliseconds 56 150 43 62 107 101 63 105 73 105 122 88 90 107 90 88 74 90 60 96 59 88 119 316 243
Character - -s s l o p o -o - e o f a c u r v e a
Milliseconds 144 127 70 77 76 180 165 101 106 243 105 43 63 73 136 61 148 72 78 150 105 183 89 42 120
Character t a p o i n t P o j n -n -j n t h e c u
Milliseconds 118 65 120 103 120 238 168 58 62 58 147 125 134 121 30 390 151 135 23 113 87 45 47 134 92
Character r v e . W e g i v e p r i c e s -s -e -c -i e c
Milliseconds 85 168 76 89 78 85 167 55 124 121 56 107 44 91 89 150 95 85 78 195 135 146 136 121 106
Character i s e d e v e l o p m e n t s o f t h e i
Milliseconds 118 199 60 59 224 43 168 62 71 137 150 150 75 103 45 89 46 105 90 32 121 87 61 46 105
Character m -m -i - s e i m p o r t a n t c o n c e p t
Milliseconds 55 261 120 150 70 65 44 58 32 151 147 89 121 107 88 111 5 157 74 43 61 92 117 107 92
Character s - -s - s i n t h e n e x t c h a p t e
Milliseconds 7 155 302 134 151 53 49 181 60 92 119 90 43 62 105 44 120 195 43 134 112 85 93 134 205
Character r , b u t f o r n o w w e u s e a n
Milliseconds 83 221 90 122 70 47 78 120 24 136 28 66 75 75 61 102 47 59 227 87 94 74 150 87 62
Character i n f o r m a t -t l a p p r o a c - h s o
Milliseconds 87 79 40 124 43 137 59 92 372 183 101 62 121 134 91 106 175 93 281 290 132 79 74 120 150
Character y o u w i l l s e e h o w t h e y l e a
Milliseconds 42 92 76 75 58 77 210 121 122 653 152 123 74 30 73 63 104 75 44 107 87 104 138 89 73
Character d n a t u r e a l -l -a -e a l l y t o t h e
Milliseconds 121 74 167 106 102 89 109 0 89 152 270 148 119 92 137 135 72 77 87 93 57 62 72 79 59
Character m a i n i d e a o f t h i s c h a p t e r
Milliseconds 92 103 76 56 46 107 64 163 73 32 87 106 55 125 58 60 75 44 77 121 122 86 258 134 73
Character , t h e l i m i t . T h e i d e a o f
Milliseconds 57 94 89 46 92 57 30 167 90 75 106 148 46 151 74 92 8 96 104 149 77 24 127 88 74
Character a l i m i t p l a y s a f o u n d a t i o
Milliseconds 191 79 104 166 63 86 102 49 105 74 58 183 78 70 108 90 90 74 184 7 49 78 100 34 148
Character n s - -s a l r o l e t h r o u g h o u t c
Milliseconds 61 122 73 251 305 106 86 88 92 33 135 120 56 78 60 120 10 66 135 75 178 71 127 57 209
Character a l c u l a -a u s .
Milliseconds 138 87 227 119 254 122 462 167 104 107
WPM Timing
Seconds WPM
2.19 87.8
4.37 109.75
6.56 102.43
8.75 97.4
10.93 96.58
13.12 100.6
15.31 105.04
17.5 99.46
19.68 93.28
21.87 93.83
24.06 95.78
26.24 96.48
28.43 94.13
30.62 92.11
32.8 93.65
34.99 92.94
37.18 91.99
39.36 90.54
41.55 90.4
43.74 88.89
45.92 88.06
48.11 88.79
50.3 90.42
52.49 87.57
54.67 88.24
56.86 89.91
59.05 90.03
61.23 91.13
63.42 91.39
65.61 91.09
67.79 92.4
69.98 93.97
72.17 92.29
74.35 92.64
76.54 92.5
78.73 92.22
80.91 92.25
83.1 92.27
85.29 92.16
87.48 92.73
89.66 93.82
91.85 92.89
94.04 92.77
96.22 93.28
98.41 93.53
100.6 94.48
102.78 95.03
104.97 95.57
107.16 95.75
109.34 94.82