InfiniTurtle (infiniturtle)

Race #11

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Official speed 98.56 wpm (105.19 seconds elapsed during race)
Without ending ping 98.76 wpm (210 ms delay sending score to TypeRacer’s server)
Timerless 99.84 wpm (1,141 ms elapsed before first character typed; 103.84 seconds elapsed during race)
Timerless minus one 99.73 wpm, ignoring the first character typed
Race Start September 16, 2024 6:28:42pm UTC
Race Finish September 16, 2024 6:30:27pm UTC
Outcome Win (1 of 3)
Opponents 2. geosyog (96.85 wpm)
Accuracy 96.9%
Points 266.11
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 Calcullus is a tool that helps us understand how a change in one quantity is related to a change in another. How does the speeed od of a lffalling object change asa fu a a fucunnction ovf time?= How does the level of water in a barrel hchange as a function of the amount of liquid poured into it? We see change orccuring icooccuring inring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we intrudoduce the ideas of average and instatntenanieous rates of change, and hshow hatthtastat they wrare closely rlatedrelated to the slpoope of a curve tat a point P on the couurve. We give precise developments of the se important concepts in the next chapter, but for now we use an informationainformal approach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit paloylays a foundational role throughout calculus.
Timing
Character C a l c u l l -l u s i s a t o o l t h a t
Milliseconds 1141 117 105 111 91 62 255 294 106 144 89 63 97 79 88 89 48 79 137 152 71 80 65 64 55
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 34 325 91 72 118 120 56 65 105 86 104 40 48 119 89 34 101 130 136 38 89 104 48 50 70
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 82 86 104 63 67 86 73 58 47 77 56 67 94 80 81 31 127 105 96 89 126 112 67 257 127
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 103 103 80 123 117 119 145 97 62 120 74 135 25 79 75 103 126 89 79 104 56 48 56 73 46
Character a n o t h e r . H o w d o e s t h e s p
Milliseconds 73 42 103 31 74 93 129 87 123 110 176 151 75 71 56 78 33 49 70 75 56 62 55 65 75
Character e e e d o -o - -d -e d o f a l f -f -l f a l l
Milliseconds 110 174 113 88 71 105 152 160 159 161 74 70 80 88 56 122 104 101 104 156 133 48 49 70 153
Character i n g o b j e c t c h a n g e a s a f u -u
Milliseconds 72 55 76 48 92 88 216 56 67 160 133 160 97 104 90 70 56 72 73 71 122 119 56 153 142
Character -f - a -a - -a a f u c -c u n -n -u n c t i o n
Milliseconds 128 175 161 137 127 159 145 120 74 104 47 198 137 353 160 71 231 129 63 130 134 74 47 56 104
Character o v -v f t i m e ? = - -= H o w d o e s t
Milliseconds 114 229 233 88 83 55 48 77 42 289 0 101 216 170 313 119 230 90 100 34 122 84 62 69 30
Character h e l e v e l o f w a t e r i n a b a
Milliseconds 60 38 75 96 23 151 31 32 131 253 111 81 215 73 126 46 83 101 31 56 69 75 92 201 0
Character r r e l h -h c h a n g e a s a f u n c t i
Milliseconds 56 247 59 125 123 246 225 143 65 57 118 64 56 82 104 78 63 97 81 63 90 86 56 288 90
Character o n o f t h e a m o u n t o f l i q u i
Milliseconds 64 40 126 112 71 33 119 56 115 57 93 32 56 79 59 111 55 63 97 71 83 118 193 56 152
Character d p o u r e d i n t o i t ? W e s e e
Milliseconds 95 47 233 201 57 126 185 46 145 64 73 104 79 112 122 96 195 114 146 214 97 61 326 133 97
Character c h a n g e o r -r c c u r i n g i -i - -g -o -c -c
Milliseconds 63 82 86 73 71 80 58 86 104 233 58 117 90 104 86 76 84 81 78 216 160 177 201 0 0
Character -u -r -i -n c o -o -c o c c u r i n g i n -i -n - -g -n -i
Milliseconds 0 0 0 0 313 97 125 145 95 192 103 105 111 91 85 114 65 86 66 222 0 304 162 159 159
Character r i n g i n n e a r l y e v e r y t h i n g
Milliseconds 128 47 64 89 34 97 55 70 448 114 45 66 135 89 96 134 123 149 74 62 105 42 62 90 48
Character w e o b s e r v e i n t h e w o r l d
Milliseconds 78 71 48 74 134 82 47 160 56 231 49 88 90 29 56 168 89 71 67 286 90 62 130 86 72
Character a n d u n i v e r s e , a n d p o w e r f u
Milliseconds 66 190 112 88 312 55 130 87 112 56 136 90 125 91 104 29 75 48 78 48 71 41 33 183 73
Character l m o d e r n i n s t r u m e n t s h e l p
Milliseconds 46 107 112 48 93 89 81 113 95 174 57 89 64 55 80 320 87 89 56 64 90 62 72 66 189
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 104 90 70 160 97 72 191 90 63 48 79 32 90 49 63 70 49 106 47 100 0 123 112 144 167
Character t h i s s e c t i o n w e i n t r u d -d -u
Milliseconds 74 63 93 26 74 31 134 44 64 190 39 57 25 176 63 81 71 138 70 55 49 97 127 232 153
Character o d u c e t h e i d e a s o f a v e r a g
Milliseconds 71 90 133 170 136 55 91 62 70 63 138 128 104 86 177 81 112 71 81 147 179 106 64 151 146
Character e a n d i n s t a t -t n t e n -n -e a n i -i e o
Milliseconds 40 79 87 42 86 33 120 48 263 57 167 123 311 57 181 97 207 361 135 242 103 383 279 123 119
Character u s r a t e s o f c h a n g e , a n d h
Milliseconds 85 163 121 319 119 114 71 42 70 104 55 65 263 114 47 136 72 88 89 104 112 71 122 86 129
Character -h s h o w h a t -t -a -h t h t a s -s -a t -t -t a t
Milliseconds 230 50 79 55 32 90 182 19 78 200 159 146 199 103 115 30 26 285 138 201 133 152 73 82 85
Character t h e y w r -r -w a r e c l o s e l y r l a t
Milliseconds 96 113 55 56 114 112 104 159 160 201 56 30 178 56 62 146 70 90 175 89 112 48 127 96 104
Character e d -r -l -a -t -e -d r e l a t e d t o t h e s l
Milliseconds 56 135 184 0 0 0 0 0 457 66 105 125 103 75 134 73 135 56 73 78 64 482 79 81 65
Character p o -o -p o p e o f a c u r v e t -t a t a
Milliseconds 144 230 186 175 55 49 86 89 96 41 105 63 104 55 135 59 190 55 83 90 213 49 56 86 160
Character p o i n t P o n t h e c o u -u -o u r v e
Milliseconds 111 74 174 65 39 105 33 334 139 118 80 144 71 80 41 80 73 118 49 159 176 26 56 159 23
Character . W e g i v e p r e c i s e d e v e l o p
Milliseconds 97 96 167 144 120 64 112 88 41 80 103 96 83 125 145 79 96 96 160 145 89 71 64 151 146
Character m e n t s o f t h e - s e i m p o r t a n
Milliseconds 86 137 79 59 78 96 31 104 80 112 26 126 128 178 107 35 73 145 39 121 49 77 97 119 82
Character t c o n c e p t s i n t h e n e x t c h
Milliseconds 70 91 96 64 132 116 86 136 73 89 142 106 46 74 62 90 63 98 200 84 384 160 88 90 55
Character a p t e r , b u t f o r n o w w e u s e
Milliseconds 119 90 118 90 70 153 70 108 51 76 80 87 81 71 168 9 86 59 81 125 95 106 146 119 50
Character a n i n f o r m a t i o n a -i -n -f -o -r -m -a -t -i
Milliseconds 84 40 119 97 152 90 77 82 86 114 64 86 75 30 80 105 262 0 0 0 0 0 0 0 0
Character -o -n -a i n f o r m a l a p p r o a c h s o y
Milliseconds 0 0 0 601 73 79 82 69 120 104 144 82 94 274 134 74 86 74 78 42 152 127 63 66 56
Character o u w i l l s e e h o w t h e y l e a d
Milliseconds 30 67 78 71 67 29 152 56 74 46 122 71 138 14 89 49 63 89 45 40 35 141 59 45 74
Character n a t u r a l l y t o t h e m a i n i d
Milliseconds 96 112 63 90 93 40 64 74 134 81 49 118 72 80 43 85 97 32 79 104 33 79 105 95 82
Character e a o f t h i s c h a p t e r , t h e l
Milliseconds 135 39 113 80 71 97 71 33 63 83 55 49 69 138 160 143 143 65 88 103 72 88 82 71 89
Character i m i t . T h e i d e a o f a l i m i t
Milliseconds 78 105 112 119 104 66 142 137 71 105 111 122 142 96 40 112 48 96 43 118 82 63 145 112 117
Character p a l o y -y -o -l -a l a y s a f o u n d a t i
Milliseconds 50 119 118 42 0 15 184 176 186 174 105 89 56 135 88 223 137 56 409 38 66 57 103 70 56
Character o n a l r o l e t h r o u g h o u t c a l c
Milliseconds 41 71 168 96 74 56 134 248 80 88 264 112 104 104 48 130 78 186 49 133 83 111 96 111 142
Character u l u s .
Milliseconds 88 64 216 122 111
WPM Timing
Seconds WPM
2.1 34.22
4.21 77
6.31 98.86
8.42 105.52
10.52 111.79
12.62 117.88
14.73 107.56
16.83 109.08
18.94 100.13
21.04 96.39
23.14 92.3
25.25 95.54
27.35 95.65
29.45 98.59
31.56 100
33.66 100.53
35.77 97.97
37.87 93.79
39.97 91.26
42.08 92.4
44.18 93.7
46.29 94.63
48.39 96.22
50.49 97.91
52.6 99.93
54.7 99.6
56.81 100.34
58.91 97.98
61.01 96.57
63.12 96.96
65.22 94.94
67.32 94.47
69.43 93.16
71.53 92.77
73.64 93.21
75.74 93.32
77.84 93.88
79.95 94.56
82.05 95.21
84.16 95.39
86.26 96.41
88.36 94.52
90.47 95.24
92.57 96.7
94.68 97.98
96.78 98.7
98.88 99.27
100.99 98.27
103.09 98.48
105.19 98.56