PKMB_PKMB_PKMB (talk_to_me_goose)

Race #4562

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Official speed 101.04 wpm (102.61 seconds elapsed during race)
Without ending ping 101.27 wpm (238 ms delay sending score to TypeRacer’s server)
Timerless 101.86 wpm (588 ms elapsed before first character typed; 101.79 seconds elapsed during race)
Timerless minus one 101.74 wpm, ignoring the first character typed
Race Start November 14, 2023 5:57:10am UTC
Race Finish November 14, 2023 5:58:52am UTC
Outcome No win (4 of 5)
Opponents 1. forcherie2 (132.13 wpm)
2. nielsjensen (115.10 wpm)
3. wqkk (104.34 wpm)
5. dx3906 (96.68 wpm)
Accuracy 97.1%
Points 272.82
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 Calcus ius ilus is a toll ol that helps us understand how a change in one uquantity 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 mamount of liquyid id poured into it? We see changes co occuring inring in nearly everything we sooinsbserve ein thin the eworld world an unid universse, and universe, and powerful modern instruments heplp us see more and more. In this section we introduce the ideas of average and insteananteanoeous rates of changes, anchange, and show that they are closely related to the slope of a curve at a point P on the cuve. rve. We give precise developments of these important concepts in the next chapter, but for now we use an informal prapproach so ytou wyou will see how they lead naturally ot the to the ain main idea of this chapte,r the chapter, the limit. The idea of a limit plays a foundational role throughout calculcusus.
Timing
Character C a l c u s i -i - -s u s i -i - -s -u l u s i s
Milliseconds 588 153 150 101 126 100 90 53 340 156 113 188 121 128 143 211 142 142 113 216 151 91 99 46 197
Character a t o l l - -l -l o l t h a t h e l p s
Milliseconds 157 170 123 217 84 176 123 102 279 136 121 184 120 74 52 99 87 42 21 99 72 62 130 74 76
Character u s u n d e r s t a n d h o w a c h a n g
Milliseconds 68 79 86 63 90 36 87 99 119 113 81 53 97 105 74 40 96 86 124 57 148 54 137 41 126
Character e i n o n e u -u q u a n t i t y i s r e
Milliseconds 67 40 33 93 120 85 89 100 112 134 266 81 107 84 95 78 112 73 152 81 45 103 100 95 47
Character l a t e d t o a c h a n g e i n a n o t
Milliseconds 112 56 82 80 102 91 77 57 42 41 180 135 130 82 103 29 73 74 30 193 64 124 68 45 123
Character h e r . H o w d o e s t h e s p e e d o
Milliseconds 67 89 52 88 21 195 92 99 150 19 101 80 52 69 120 36 148 82 89 64 97 134 57 94 56
Character f a f a l l i n g o b j e c t c h a n g e
Milliseconds 80 97 81 110 80 80 34 149 81 59 65 112 33 163 169 62 69 180 74 127 108 64 79 108 49
Character a s a f u n c t i o n o f t i m e ? H
Milliseconds 48 113 57 104 91 131 65 129 93 30 180 27 17 101 51 32 91 79 56 72 66 50 261 87 433
Character o w d o e s t h e l e v e l o f w a t e
Milliseconds 160 112 77 76 66 107 49 45 107 24 121 26 50 103 83 82 55 81 95 28 92 80 57 96 80
Character r i n a b a r r e l c h a n g e a s a
Milliseconds 95 35 42 97 50 26 129 94 31 108 148 57 111 65 117 104 83 80 64 45 87 67 72 97 70
Character f u n c t i o n o f t h e m -m a m o u n t
Milliseconds 139 67 139 81 23 161 28 24 96 61 29 77 78 95 38 114 60 139 274 53 98 73 70 74 69
Character o f l i q u y i d - -d -i -y i d p o u r e d
Milliseconds 84 35 92 63 41 82 101 95 0 117 39 140 225 136 130 124 161 89 103 0 165 30 46 111 88
Character i n t o i t ? W e s e e c h a n g e s
Milliseconds 37 51 65 56 24 76 59 85 271 93 233 198 70 117 165 137 67 102 134 114 64 34 199 94 114
Character c o -o -c - -s o c c u r i n g i n -n -i - -g -n -i r
Milliseconds 109 104 192 143 138 127 177 73 108 180 77 105 146 53 51 111 25 94 206 138 142 148 134 93 116
Character i n g i n n e a r l y e v e r y t h i n g
Milliseconds 96 54 50 70 23 90 61 81 140 55 63 39 131 95 44 144 24 34 186 127 63 25 120 45 108
Character w e s o -o -s o i n s -s -n -i b s e r v e e i n
Milliseconds 192 68 42 201 128 251 103 182 0 77 68 262 129 104 183 81 160 56 88 97 69 18 44 82 32
Character t h -h -t -e -i -n - i n t h e e w o r l d -e -w -o
Milliseconds 111 52 336 130 254 0 0 0 183 116 77 176 114 67 79 30 52 85 92 58 111 49 247 0 0
Character -r -l -d - w o r l d a n u n i -i -n -u - d u n i
Milliseconds 0 0 0 0 304 135 60 108 120 64 64 66 152 60 106 73 307 118 137 122 55 149 83 101 73
Character v e r s s e , a n d -u -n -i -v -e -r -s -s -e -, - -a -n
Milliseconds 86 55 129 145 87 43 66 70 87 56 74 62 291 0 0 0 0 0 0 0 0 0 0 0 0
Character -d - u n i v e r s e , a n d p o w e r f u l
Milliseconds 0 0 284 104 89 85 66 122 117 145 49 42 105 41 98 51 120 173 46 161 34 150 64 48 77
Character m o d e r n i n s t r u m e n t s h e p -p l p
Milliseconds 74 59 86 54 106 45 65 51 97 57 132 147 64 121 84 98 38 138 97 81 67 204 400 160 119
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 90 87 89 103 84 171 144 30 31 80 86 28 56 121 39 89 56 30 88 31 58 105 45 163 135
Character t h i s s e c t i o n w e i n t r o d u c
Milliseconds 57 78 55 53 76 86 83 169 45 187 26 51 72 57 90 41 84 111 48 56 181 22 169 103 97
Character e t h e i d e a s o f a v e r a g e a n
Milliseconds 50 69 73 64 101 47 83 61 33 85 103 55 67 78 82 69 184 80 88 122 86 38 103 68 88
Character d i n s t e a n -n -a -e a n t e -e a n o -o e o u s
Milliseconds 61 69 53 88 47 192 129 88 137 288 118 119 82 136 72 98 406 113 94 62 435 66 95 58 85
Character r a t e s o f c h a n g e s , a n -c -h -a -n
Milliseconds 107 200 125 170 94 49 67 25 82 74 103 95 105 64 71 38 58 46 75 114 27 465 0 0 0
Character -g -e -s -, - -a -n c h a n g e , a n d s h o w t
Milliseconds 0 0 0 0 0 0 0 531 127 80 96 56 63 63 60 66 75 97 64 145 55 72 80 82 34
Character h a t t h e y a r e c l o s e l y r e l a
Milliseconds 117 54 80 66 81 43 84 95 64 117 50 30 65 116 52 155 55 160 73 103 68 133 122 0 164
Character t e d t o t h e s l o p e o f a c u r
Milliseconds 121 71 113 95 65 54 48 64 80 64 72 81 167 160 156 78 85 100 79 87 47 115 35 108 104
Character v e a t a p o i n t P o n t h e c u
Milliseconds 80 112 82 98 51 68 112 40 51 162 63 56 67 67 180 99 161 80 65 56 83 111 36 140 112
Character v e . - -. -e -v r v e . W e g i v e p r e c
Milliseconds 241 122 97 66 194 128 144 97 226 181 106 111 24 151 169 50 80 69 155 48 115 47 57 66 130
Character i s e d e v e l o p m e n t s o f t h e s e
Milliseconds 36 628 174 56 128 41 127 47 75 416 166 128 89 97 49 157 56 46 91 70 80 65 86 73 78
Character i m p o r t a n t c o n c e p t s i n t h
Milliseconds 84 59 127 29 169 58 141 45 93 53 99 100 50 55 80 59 106 62 119 35 66 74 79 23 105
Character e n e x t c h a p t e r , b u t f o r n
Milliseconds 66 74 68 31 122 185 70 97 71 112 63 83 103 89 30 39 146 57 80 88 105 29 121 55 92
Character o w w e u s e a n i n f o r m a l p r -r
Milliseconds 46 98 94 91 50 86 76 89 151 65 103 107 38 66 90 33 107 109 100 95 111 105 106 108 266
Character -p a p p r o a c h s o y t o u w -y -t -o -u - -w
Milliseconds 136 159 96 120 88 92 82 57 78 59 106 81 44 160 0 0 36 52 137 329 0 0 0 0 0
Character y o u w i l l s e e h o w t h e y l e a
Milliseconds 151 82 32 64 78 64 44 148 49 91 164 144 48 84 35 54 107 64 61 91 71 33 58 119 65
Character d n a t u r a l l y o t t h e -o -t - -t -h -e
Milliseconds 59 72 105 69 76 66 76 47 41 115 97 97 88 0 86 72 71 105 38 270 0 0 0 0 0
Character - t o t h e a i n - -n -i -a m a i n i d e a
Milliseconds 0 177 35 36 100 61 78 62 166 65 96 71 200 129 136 105 183 73 73 87 52 74 56 80 37
Character o f t h i s c h a p t e , r t h e -c -h -a
Milliseconds 85 52 87 60 120 98 24 78 103 32 105 86 89 74 111 96 0 36 115 84 93 57 272 0 0
Character -p -t -e -, -r - -t -h -e - c h a p t e r , t h e l i
Milliseconds 0 0 0 0 0 0 0 0 0 0 202 101 122 94 103 161 65 95 48 168 86 118 29 150 0
Character m i t . T h e i d e a o f a l i m i t
Milliseconds 120 57 75 134 44 141 104 69 138 54 112 49 88 16 54 160 115 122 85 95 49 183 39 114 81
Character p l a y s a f o u n d a t i o n a l r o l e
Milliseconds 34 149 23 123 144 88 68 38 173 111 35 95 56 26 604 122 37 102 103 57 92 93 63 131 78
Character t h r o u g h o u t c a l c u l c u s -s -u -c u
Milliseconds 109 63 42 517 137 38 125 115 176 51 133 84 124 112 55 137 86 173 60 156 109 241 113 126 169
Character s .
Milliseconds 70 147
WPM Timing
Seconds WPM
2.05 29.24
4.1 32.16
6.16 38.98
8.21 67.24
10.26 76.01
12.31 86.73
14.37 92.72
16.42 98.67
18.47 102.65
20.52 104.08
22.57 108.44
24.63 111.58
26.68 112.9
28.73 111.1
30.78 111.1
32.84 107.44
34.89 104.22
36.94 105.9
38.99 102.48
41.05 99.7
43.1 97.18
45.15 93.29
47.2 93.56
49.25 95.75
51.31 95.66
53.36 97.83
55.41 99.84
57.46 99.82
59.52 97.99
61.57 96.87
63.62 96.76
65.67 98.49
67.72 99.4
69.78 100.43
71.83 98.9
73.88 98.92
75.93 99.24
77.99 100.48
80.04 101.8
82.09 102.76
84.14 102.11
86.19 102.33
88.25 102.39
90.3 101.79
92.35 101.09
94.4 101.44
96.46 102.02
98.51 102.08
100.56 102.03
102.61 101.04