no one cares (speedyant)

Race #55522

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Official speed 101.42 wpm (102.23 seconds elapsed during race)
Without ending ping 101.65 wpm (115 ms delay sending score to TypeRacer’s server)
Timerless 102.05 wpm (400 ms elapsed before first character typed; 101.71 seconds elapsed during race)
Timerless minus one 101.93 wpm, ignoring the first character typed
Race Start April 13, 2024 6:00:17am UTC
Race Finish April 13, 2024 6:02:00am UTC
Outcome No win (2 of 3)
Opponents 1. rilee_h443 (109.35 wpm)
Accuracy 97.9%
Points 273.82
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 Calculus is a tool that helps us understand how a change in one quantity is related to a change in another. oHow does the speed of a faling oling object change as a function of time? How does the level of water in a barrel change as a functdion ounction of the amount of liquid poured into it? We see change occurring in nearly everything we observe in the world nad und univrseerse, and powrful owreful erful modern instruments help us see more and more. iIn this section we introducde e the ideas of average and instantaneous rates of change, and show that they are closely raelatd ted to the slope fo=of a .f a scudrverve at a point Po on the curve. We give precise developments of thseese important concepts in the next chapter, but for now e uWEwe use an informal approach so you will see how they wlead naturally to the main idea of this chapter, the limit. The idea of al limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 400 156 100 136 80 130 202 119 95 85 113 21 145 36 189 81 112 141 96 104 29 62 102 31 82
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 107 119 267 95 56 81 270 0 37 161 67 179 119 187 66 123 104 137 95 72 82 52 85 77 97
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 118 57 116 64 17 84 87 65 101 48 68 65 51 65 217 117 83 101 93 104 69 100 93 56 88
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 64 102 83 83 107 61 83 159 73 82 68 84 31 85 147 62 106 46 22 97 126 0 45 93 55
Character n o t h e r . o -o H o w d o e s t h e s p
Milliseconds 83 46 68 38 66 81 79 71 296 275 142 169 101 136 66 79 100 37 112 66 33 55 135 179 81
Character e e d o f a f a l i n g o -o - -g -n -i l i n
Milliseconds 148 132 262 95 69 98 103 81 285 207 41 62 140 50 59 101 69 230 87 105 126 106 213 56 84
Character g o b j e c t c h a n g e a s a f u n c
Milliseconds 37 58 69 213 104 399 244 52 66 567 72 61 70 31 80 83 330 76 63 91 66 111 97 369 169
Character t i o n o f t i m e ? H o w d o e s t h
Milliseconds 62 58 59 51 79 70 48 93 75 22 62 83 269 79 188 168 129 123 119 82 95 52 101 98 33
Character e l e v e l o f w a t e r i n a b a r
Milliseconds 116 87 76 102 116 123 32 76 104 52 80 122 74 73 97 52 65 34 91 58 118 107 132 131 134
Character r e l c h a n g e a s a f u n c t d i o n
Milliseconds 129 85 72 65 131 62 69 71 27 73 102 65 84 46 118 87 65 69 141 48 105 15 34 48 68
Character o -u -n -c -t -d -i -o -n - -o u n c t i o n o f t h
Milliseconds 81 87 466 0 0 0 0 0 0 0 0 0 86 133 88 112 46 75 16 114 84 86 67 80 35
Character e a m o u n t o f l i q u i d p o u r e d
Milliseconds 49 116 67 103 131 84 98 133 35 150 67 116 34 76 160 100 65 66 116 264 84 112 72 64 204
Character i n t o i t ? W e s e e c h a n g e o
Milliseconds 131 63 72 99 84 145 72 84 181 71 227 172 129 110 46 149 173 178 97 99 50 46 100 70 313
Character c c u r r i n g i n n e a r l y e v e r y t
Milliseconds 102 136 78 91 111 112 42 100 67 68 88 74 231 68 61 38 84 65 68 112 258 80 114 121 85
Character h i n g w e o b s e r v e i n t h e w o
Milliseconds 99 81 53 50 97 50 99 70 149 103 101 84 50 179 42 110 35 78 97 42 59 88 196 56 83
Character r l d n a d u -n -d - -u n d u n i v r s e -e -s
Milliseconds 101 41 110 72 92 15 79 52 113 522 0 0 0 97 102 99 101 182 56 36 212 130 39 280 87
Character -r e r s e , a n d p o w r f u l -o -w -r -f -u -l
Milliseconds 113 80 58 97 68 86 77 50 48 40 113 234 83 69 101 157 59 83 68 482 0 0 0 0 0
Character - o w r e f u l - -l -u -f -e -r e r f u l m o d e
Milliseconds 0 65 66 85 18 160 56 81 80 184 100 99 123 130 117 54 48 226 241 175 59 144 88 117 151
Character r n i n s t r u m e n t s h e l p u s s e
Milliseconds 95 32 99 81 77 57 58 65 128 185 188 76 103 68 138 350 94 65 164 52 101 76 115 163 82
Character e m o r e a n d m o r e . i -i I n t h i
Milliseconds 167 143 61 79 18 77 67 37 81 53 97 38 67 47 81 102 83 355 512 153 215 186 102 31 60
Character s s e c t i o n w e i n t r o d u c d e -
Milliseconds 69 84 65 74 206 86 7 61 34 113 141 199 143 86 67 48 94 95 115 119 94 59 180 20 292
Character -e -d e t h e i d e a s o f a v e r a g e
Milliseconds 82 123 147 35 68 37 73 141 30 99 148 57 114 82 34 106 111 256 82 117 97 96 88 66 96
Character a n d i n s t a n t a n e o u s r a t e s o
Milliseconds 48 54 89 64 79 84 80 66 108 66 246 251 383 130 118 73 100 107 92 111 53 101 16 71 33
Character f c h a n g e , a n d s h o w t h a t t
Milliseconds 98 162 36 64 140 30 184 94 101 50 70 50 22 130 162 34 63 91 234 46 82 23 78 119 62
Character h e y a r e c l o s e l y r a -a e l a t d
Milliseconds 67 37 114 90 33 43 50 90 151 27 127 62 43 97 66 65 92 143 312 62 103 84 80 283 135
Character t -t - -d e d t o t h e s l o p e f o -o -f =
Milliseconds 85 291 94 114 35 177 128 88 67 113 243 51 46 130 55 52 167 81 134 100 109 40 333 112 6
Character o f a . -= -f - -a - -. f a s -s c u d r v e -e
Milliseconds 178 54 27 83 64 276 334 0 0 0 0 0 91 61 77 99 224 245 89 48 84 27 184 46 255
Character -v -r -d r v e a t a p o i n t P o -o o n
Milliseconds 99 136 95 70 195 68 86 136 79 23 111 49 167 114 32 140 116 153 176 277 347 70 116 82 109
Character t h e c u r v e . W e g i v e p r e c i s
Milliseconds 4 110 46 145 186 32 96 174 75 86 69 203 178 85 97 118 97 84 68 86 138 147 200 31 68
Character e d e v e l o p m e n t s o f t h s e -e -s e
Milliseconds 95 101 99 222 182 129 30 189 120 170 93 82 48 90 84 47 83 120 108 75 113 137 334 86 73
Character s e i m p o r t a n t c o n c e p t s i n
Milliseconds 100 69 124 174 117 56 299 97 124 75 38 95 82 256 43 50 85 163 141 109 87 99 34 87 88
Character t h e n e x t c h a p t e r , b u t f o r
Milliseconds 44 65 101 81 56 64 231 70 98 124 47 101 119 126 120 46 97 57 109 6 116 101 162 65 78
Character n o w e u $W - -u E -E -W w e u s e a n i
Milliseconds 78 45 89 49 88 64 215 54 729 0 0 433 184 172 583 295 152 98 70 57 57 129 104 79 83
Character n f o r m a l a p p r o a c h s o y o u w
Milliseconds 63 57 133 88 414 79 100 65 171 105 111 101 123 64 64 37 117 134 72 105 53 69 109 88 18
Character i l l s e e h o w t h e y w -w l e a d n
Milliseconds 130 140 121 41 79 68 173 142 68 90 47 166 52 67 49 84 101 40 273 164 98 34 84 99 53
Character a t u r a l l y t o t h e m a i n i d e a
Milliseconds 150 21 167 99 64 50 94 71 106 126 138 164 30 47 88 41 91 83 85 50 85 51 52 184 60
Character o f t h i s c h a p t e r , t h e l i m
Milliseconds 202 248 84 118 53 32 52 48 97 108 49 58 121 44 123 63 68 69 83 39 57 110 125 76 126
Character i t . T h e i d e a o f a l -l l i m i t
Milliseconds 70 96 130 86 125 147 49 149 54 82 175 68 118 99 82 101 0 404 313 86 147 83 88 104 116
Character p l a y s a f o u n d a t i o n a l r o l
Milliseconds 114 51 164 26 87 101 34 115 51 224 95 89 166 64 91 52 50 55 38 74 109 47 95 67 84
Character e t h r o u g h o u t c a l c u l u s .
Milliseconds 84 98 99 77 130 94 68 88 119 68 74 48 74 162 54 201 98 79 149 203 101 132
WPM Timing
Seconds WPM
2.04 88.04
4.09 102.71
6.13 111.51
8.18 117.38
10.22 126.77
12.27 120.32
14.31 113.19
16.36 105.65
18.4 104.99
20.45 105.06
22.49 108.31
24.53 111.03
26.58 107
28.62 109.42
30.67 108.78
32.71 108.21
34.76 109.1
36.8 110.86
38.85 108.73
40.89 107.41
42.94 102.85
44.98 102.44
47.03 102.33
49.07 102.71
51.11 102.59
53.16 101.58
55.2 102.6
57.25 102.29
59.29 103.82
61.34 105.06
63.38 103
65.43 102.34
67.47 100.31
69.52 99.78
71.56 99.11
73.6 99.45
75.65 99.78
77.69 99
79.74 99.63
81.78 100.66
83.83 98.2
85.87 97.96
87.92 98.68
89.96 98.71
92.01 99.65
94.05 100.41
96.09 100.9
98.14 100.63
100.18 101.45
102.23 101.42