HudYA (hudyusuf)

Race #15481

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Official speed 116.70 wpm (88.84 seconds elapsed during race)
Without ending ping 117.22 wpm (392 ms delay sending score to TypeRacer’s server)
Timerless 117.65 wpm (322 ms elapsed before first character typed; 88.13 seconds elapsed during race)
Timerless minus one 117.51 wpm, ignoring the first character typed
Race Start September 28, 2023 2:06:36pm UTC
Race Finish September 28, 2023 2:08:04pm UTC
Outcome Win (1 of 4)
Accuracy 97.1%
Points 315.10
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 hlpselps us uncederstand how a change ine one quantity is related to a change in aonotheranother. How does the pseedspeed of a flaling falling object chante ge as a funciton ofunction of time.? How does the level of water in a barreelle change as a funcittion onf the amount of liquid poured into it? We see change occuriring in nearly everything we observe in the world and universe, and powerful modern intstruments help us see more and more. In this wesection we introduce the ideas of average and instantaneous rates of change, and show that they are slowclosely related to the slope of a curve a t a point P on the curve. We give precise tdevelopments of chthese important concepts in the next chapter, but for now ewe use an informal approach so yo wuu will see how they lead naturally to the main idea of this chapter, the limit. The idaea of t a 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 322 110 140 82 112 228 74 99 61 46 102 59 92 107 146 78 120 137 59 62 57 46 43 27 112
Character l p s -s -p -l e l p s u s u n c e -e -c d e r s t
Milliseconds 146 159 88 219 106 112 70 94 138 100 64 95 184 90 138 149 85 139 236 122 69 127 59 127 32
Character a n d h o w a c h a n g e i n e -e o n e
Milliseconds 89 66 69 74 125 63 41 57 133 72 120 22 103 27 76 123 126 91 78 108 441 93 66 80 66
Character q u a n t i t y i s r e l a t e d t o a
Milliseconds 80 564 60 119 34 128 28 87 79 112 62 66 74 119 46 92 82 63 71 132 62 35 75 75 80
Character c h a n g e i n a o n o t h e r -a -o -n -o -t -h
Milliseconds 97 81 70 105 28 84 64 54 260 100 81 39 80 22 62 65 69 47 65 245 0 0 0 0 0
Character -e -r a n o t h e r . H o w d o e s t h e p
Milliseconds 0 0 171 41 39 83 31 104 36 42 92 108 78 56 57 85 119 126 101 15 106 30 63 56 91
Character s e e d -p -s -e -e -d s p e e d o f a f l a l i
Milliseconds 25 100 114 114 222 0 0 0 0 198 37 112 243 0 48 35 79 67 25 112 155 80 0 110 49
Character n g -f -l -a -l -i -n -g - f a l l i n g o b j e c t
Milliseconds 71 47 80 210 0 0 0 0 0 0 0 169 39 61 109 36 83 17 80 65 53 129 98 160 94
Character c h a n t e - -e -t g e a s a f u n c i t
Milliseconds 53 159 35 96 43 54 65 66 273 105 106 64 55 56 59 83 71 66 103 69 57 129 40 101 11
Character o n o -o -f -u -n -c -i -t -o -n - f u n c t i o n o f
Milliseconds 30 68 84 45 262 93 0 0 0 0 0 0 0 0 123 85 280 106 115 15 28 59 102 235 99
Character t i m e . -. ? H o w d o e s t h e l e v
Milliseconds 38 67 42 90 31 129 268 172 108 108 96 60 67 71 59 62 69 43 87 51 53 54 61 70 135
Character e l o f w a t e r i n a b a r r e e l -l
Milliseconds 84 49 82 90 42 84 144 131 96 80 58 48 44 235 88 50 119 56 358 64 138 57 136 85 232
Character -e l e - -e c h a n g e a s a f u n c i t
Milliseconds 96 135 79 23 409 93 84 77 38 67 46 25 79 51 121 94 52 66 80 61 60 146 113 131 0
Character -t -i t i o n o n -n f t h e a m o u n t o f
Milliseconds 387 112 70 59 63 63 80 37 70 300 132 50 101 7 68 55 75 107 100 83 127 95 227 65 67
Character l i q u i d p o u r e d i n t o i t ? W
Milliseconds 83 212 62 190 69 57 75 88 200 34 237 352 103 123 69 164 88 37 68 95 127 58 171 89 58
Character e s e e c h a n g e o c c u r i -i r i n g
Milliseconds 177 66 55 64 89 51 135 50 63 59 24 65 27 345 68 119 61 89 47 282 82 65 88 66 222
Character i n n e a r l y e v e r y t h i n g w e o
Milliseconds 47 69 96 137 59 61 54 55 71 69 70 114 101 55 74 88 83 21 75 37 94 52 83 84 128
Character b s e r v e i n t h e w o r l d a n d u
Milliseconds 40 130 49 13 159 75 88 59 75 95 44 53 56 44 101 32 76 74 45 75 40 65 50 61 163
Character n i v e r s e , a n d p o w e r f u l m o d
Milliseconds 135 43 30 102 62 65 23 80 68 45 54 63 57 109 76 41 46 27 139 41 66 82 158 48 59
Character e r n i n t -t s t r u m e n t s h e l p u s
Milliseconds 96 32 94 106 79 79 94 321 43 71 94 79 135 135 61 81 39 98 76 67 93 94 104 33 91
Character s e e m o r e a n d m o r e . I n t h
Milliseconds 70 133 78 131 80 57 56 29 48 60 71 57 84 16 103 43 60 34 113 83 85 98 84 18 74
Character i s w e -e -w s e c t i o n w e i n t r o d u
Milliseconds 82 0 76 99 81 283 97 33 24 118 115 11 26 53 119 104 53 82 86 98 66 112 77 70 102
Character c e t h e i d e a s o f a v e r a g e a
Milliseconds 44 105 112 91 39 37 70 86 61 105 72 49 54 54 107 149 88 177 126 126 101 74 85 53 58
Character n d i n s t a n t a n e o u s r a t e s o f
Milliseconds 69 48 63 104 78 205 108 98 56 410 339 99 284 80 72 134 90 109 79 76 66 60 43 67 104
Character c h a n g e , a n d s h o w t h a t t h
Milliseconds 54 95 64 80 32 38 67 67 64 31 68 56 50 61 67 71 50 75 40 88 40 68 25 100 66
Character e y a r e s l o w -w -o -l -s c l o s e l y r e
Milliseconds 72 66 134 44 48 45 43 91 68 111 40 216 103 105 109 97 95 118 54 28 49 55 115 130 60
Character l a t e d t o t h e s l o p e o f a c
Milliseconds 66 77 67 68 139 38 39 101 54 49 77 22 96 65 81 124 112 106 57 45 89 63 135 77 62
Character u r v e a - t a p o i n t P o n t h
Milliseconds 93 280 160 89 110 29 99 259 96 51 56 111 83 37 58 68 29 233 312 213 113 52 102 21 98
Character e c u r v e . W e g i v e p r e c i s e
Milliseconds 41 97 83 103 152 160 91 56 66 107 170 68 116 105 94 67 42 87 82 70 159 74 78 59 36
Character t -t d e v e l o p m e n t s o f c h -h -c t h e
Milliseconds 76 274 71 119 99 80 50 137 70 167 77 74 65 67 51 73 52 65 102 43 240 86 66 82 29
Character s e i m p o r t a n t c o n c e p t s i n
Milliseconds 85 58 54 181 78 43 31 86 113 68 14 89 66 204 67 65 48 130 46 83 96 77 67 130 85
Character t h e n e x t c h a p t e r , b u t f o r
Milliseconds 49 62 47 71 48 115 136 95 80 188 99 156 161 78 101 56 65 67 62 62 76 32 116 64 78
Character n o w e -e w e u s e a n i n f o r m a l
Milliseconds 41 109 45 55 90 40 530 113 30 91 96 79 37 62 213 69 88 60 73 52 105 98 39 93 547
Character a p p r o a c h s o y o w -w u -u - u w i
Milliseconds 160 345 80 98 78 79 185 67 48 85 176 74 58 70 48 147 22 226 275 214 101 58 111 27 68
Character l l s e e h o w t h e y l e a d n a t u
Milliseconds 111 114 84 35 54 87 31 96 56 42 62 54 72 38 43 75 94 51 103 54 58 101 47 81 83
Character r a l l y t o t h e m a i n i d e a o f
Milliseconds 72 54 32 118 34 104 159 71 43 57 33 66 39 107 59 69 74 85 97 88 115 40 68 29 82
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 63 83 46 74 54 39 126 46 74 40 103 80 64 68 65 81 35 83 26 64 57 88 373 114 116
Character T h e i d a -a e a o f t - -t a l i m i
Milliseconds 93 84 57 82 18 45 321 105 322 44 59 68 54 94 46 87 179 257 100 57 65 116 65 81 81
Character t p l a y s a f o u n d a t i o n a l r o
Milliseconds 92 87 113 153 64 86 96 39 80 83 84 58 45 135 39 69 75 231 41 96 86 85 96 154 58
Character l e t h r o u g h o u t c a l c u l u s .
Milliseconds 121 60 53 80 89 270 90 98 154 100 128 77 98 95 236 79 39 132 61 117 79 177 66
WPM Timing
Seconds WPM
1.78 94.55
3.55 91.17
5.33 85.54
7.11 99.61
8.88 93.2
10.66 103.55
12.44 100.34
14.21 102.15
15.99 99.05
17.77 101.98
19.55 97.62
21.32 97.36
23.1 99.74
24.88 101.78
26.65 97.25
28.43 98.35
30.21 98.92
31.98 99.05
33.76 99.17
35.54 100.29
37.31 102.27
39.09 105.29
40.87 108.64
42.64 108.9
44.42 110.49
46.2 111.17
47.98 113.06
49.75 113.84
51.53 112.48
53.31 114.13
55.08 115.03
56.86 115.23
58.64 115.63
60.41 115.21
62.19 115.39
63.97 115.37
65.74 115.36
67.52 116.05
69.3 116.37
71.07 116.33
72.85 115.96
74.63 115.45
76.41 115.28
78.18 116.65
79.96 117.81
81.74 117.89
83.51 116.82
85.29 117.2
87.07 117.15
88.84 116.7