Topan (toepoon)

Race #686

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Official speed 116.18 wpm (89.24 seconds elapsed during race)
Without ending ping 116.31 wpm (103 ms delay sending score to TypeRacer’s server)
Timerless 116.65 wpm (253 ms elapsed before first character typed; 88.89 seconds elapsed during race)
Timerless minus one 116.51 wpm, ignoring the first character typed
Race Start January 1, 2024 5:17:19pm UTC
Race Finish January 1, 2024 5:18:48pm UTC
Outcome Win (1 of 3)
Opponents 2. ber0620 (97.73 wpm)
3. andrei518 (86.35 wpm)
Accuracy 97.8%
Points 313.69
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 CAlcalculus is a tool thath elp that helps us understand how a change in one quanitittity is related to a chnage change in another. How does the speed of a falling object changea as a function of time? How does th le level of water in a barrel change as a function of the amount of liquid poured into it? we We see change occuring ioccurring in nearly everything we observve ie in the world and universe, and powerful modern instruments help us see emore and more. In this section we introduced the ideas of average and instantenouanoeeous rates of change, and show wthat they are closely related to the slope of a curbe ve at a Ppoint P on the curve. We givep reci 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 calcluulus.
Timing
Character C A l c -c -l -A a l c u l u s i s a t o o l
Milliseconds 253 80 130 107 310 113 122 156 65 102 100 91 141 92 84 84 88 84 107 76 76 38 128 152 92
Character t h a t h e l p -t -h -a -t -h - -e -l -p - t h a t
Milliseconds 46 67 77 41 64 11 136 87 68 264 422 0 0 0 0 0 0 0 0 0 280 94 69 59 61
Character h e l p s u s u n d e r s t a n d h o w a
Milliseconds 60 78 109 76 73 109 139 140 70 80 149 13 157 53 91 88 90 56 97 43 128 61 67 71 121
Character c h a n g e i n o n e q u a n i t i t -t -i
Milliseconds 55 121 24 157 15 69 51 68 43 63 66 80 73 50 78 70 67 109 78 62 59 107 43 261 114
Character -t -i t i t y i s r e l a t e d t o a c h
Milliseconds 132 114 100 75 98 68 78 89 54 89 29 61 85 37 65 46 145 56 96 89 42 101 98 102 58
Character n a g e -c -h -n -a -g -e - c h a n g e i n a n o
Milliseconds 193 14 105 43 90 314 0 0 0 0 0 0 205 81 94 65 56 47 77 86 67 50 100 50 46
Character t h e r . H o w d o e s t h e s p e e d
Milliseconds 71 88 46 54 87 59 132 146 54 81 91 67 89 73 31 106 54 52 60 111 54 105 117 140 54
Character o f a f a l l i n g o b j e c t c h a n g
Milliseconds 126 68 84 96 84 49 72 67 140 71 46 43 77 50 67 86 44 137 126 75 99 79 114 60 71
Character e a - -a a s a f u n c t i o n o f t i
Milliseconds 13 433 36 336 121 73 65 66 87 95 98 29 86 150 29 177 23 62 36 91 89 82 33 131 40
Character m e ? H o w d o e s t h l -l - e l e v e
Milliseconds 60 47 140 105 111 154 64 61 105 40 98 68 29 133 22 141 288 201 118 55 316 119 52 92 66
Character l o f w a t e r i n a b a r r e l c h
Milliseconds 30 82 121 80 78 65 127 79 67 104 39 93 54 62 121 48 102 224 84 165 45 100 51 102 59
Character a n g e a s a f u n c t i o n o f t h e
Milliseconds 157 21 87 52 93 334 98 96 93 90 74 103 178 84 217 101 75 36 165 79 88 57 126 30 97
Character a m o u n t o f l i q u i d p o u r e d
Milliseconds 48 110 12 121 82 126 27 68 100 59 61 108 122 86 117 62 39 74 246 223 81 80 81 171 45
Character i n t o i t ? w e - -e -w W e s e e c h a
Milliseconds 94 60 53 89 77 107 29 163 100 244 70 89 295 119 125 251 146 100 93 58 167 61 115 50 147
Character n g e o c c u r i n g i -o -c -c -u -r -i -n -g - -i o
Milliseconds 19 80 31 71 70 63 146 89 82 105 33 21 149 131 319 0 0 0 0 0 0 0 0 0 227
Character c c u r r i n g i n n e a r l y e v e r y t
Milliseconds 82 138 89 106 127 111 71 46 88 57 47 73 110 20 87 46 82 101 83 50 81 100 72 37 120
Character h i n g w e o b s e r v v e i -i - -e -v e i
Milliseconds 60 82 69 35 83 39 53 79 115 87 132 74 47 160 165 57 81 116 258 110 123 117 81 73 93
Character n t h e w o r l d a n d u n i v e r s e ,
Milliseconds 62 73 94 45 117 133 172 68 74 101 47 75 96 47 131 14 110 163 60 22 142 65 98 89 79
Character a n d p o w e r f u l m o d e r n i n s t
Milliseconds 116 97 60 84 59 101 45 54 36 83 147 39 65 68 104 79 19 148 43 40 87 83 61 174 89
Character r u m e n t s h e l p u s s e e e -e m o r
Milliseconds 160 43 181 67 73 73 92 85 36 97 87 62 69 102 61 102 79 128 135 136 24 448 208 35 46
Character e a n d m o r e . I n t h i s s e c t i
Milliseconds 67 73 103 2 102 56 69 36 58 52 108 65 165 184 98 59 61 53 62 38 103 73 164 135 6
Character o n w e i n t r o d u c e d - -d t h e i
Milliseconds 52 37 98 50 64 110 165 54 113 168 20 127 57 120 135 134 138 350 122 77 52 77 60 81 56
Character d e a s o f a v e r a g e a n d i n s t a
Milliseconds 54 116 97 45 83 102 53 97 87 99 125 47 135 107 68 84 99 53 82 49 91 70 45 76 82
Character n t e n o u -u -o -n -e a n o e -e -o e o u s r a t e
Milliseconds 29 93 67 86 129 95 255 125 117 118 121 96 161 117 170 100 121 105 62 66 83 105 87 88 30
Character s o f c h a n g e , a n d s h o w w -w t
Milliseconds 102 46 96 42 74 122 32 122 65 71 37 118 97 86 45 58 64 102 31 70 68 77 160 244 118
Character h a t t h e y a r e c l o s e l y r e l a
Milliseconds 89 58 60 64 88 12 149 89 59 277 89 50 81 131 66 120 62 60 87 89 93 20 67 65 70
Character t e d t o t h e s l o p e o f a c u r
Milliseconds 67 36 163 43 119 46 73 54 70 78 36 116 107 153 94 40 48 107 68 70 89 104 58 90 66
Character b e - -e -b v e a t a P -P p o i n t P o
Milliseconds 144 62 66 237 126 123 78 48 72 95 100 67 77 87 196 371 257 64 70 49 49 72 180 107 137
Character n t h e c u r v e . W e g i v e p r e c
Milliseconds 67 67 115 64 69 48 117 72 57 158 62 122 82 173 183 75 112 88 80 39 97 19 65 57 172
Character i -i -c -e -r - -p p r e c i s e d e v e l o p m e
Milliseconds 61 226 135 136 127 97 332 140 93 88 66 146 62 146 132 79 157 151 111 55 42 157 42 173 64
Character n t s o f t h e s e i m p o r t a n t c o
Milliseconds 88 52 87 30 120 34 86 104 51 98 83 90 63 42 92 73 43 76 119 104 3 106 59 126 5
Character n c e p t s i n t h e n e x t c h a p t e
Milliseconds 66 53 135 63 100 86 111 7 70 89 58 61 77 80 75 21 161 99 94 125 49 106 95 62 70
Character r , b u t f o r n o w w e u s e a n
Milliseconds 93 100 96 113 81 95 55 101 67 81 49 84 45 60 63 120 14 79 110 65 62 66 120 16 70
Character i n f o r m a l a p p r o a c h s o y o u
Milliseconds 89 60 55 92 56 101 71 84 41 117 75 142 75 114 64 107 44 138 13 219 85 136 80 96 68
Character w i l l s e e h o w t h e y l e a d n a
Milliseconds 63 74 160 116 69 30 58 141 76 102 62 39 57 78 43 80 93 48 87 23 83 98 32 102 61
Character t u r a l l y t o t h e m a i n i d e a
Milliseconds 63 94 58 46 74 119 65 92 55 55 86 60 45 64 67 106 42 107 50 83 100 44 127 75 37
Character o f t h i s c h a p t e r , t h e l i m i
Milliseconds 133 52 68 88 27 62 80 71 87 38 124 79 54 73 82 69 86 75 45 88 59 91 74 144 51
Character t . T h e i d e a o f a l i m i t p l
Milliseconds 84 129 90 116 105 75 57 105 21 180 347 131 121 89 65 88 97 6 89 76 132 39 81 152 71
Character a y s a f o u n d a t i o n a l r o l e t
Milliseconds 105 116 55 75 89 75 82 22 81 186 32 109 56 48 52 59 68 95 62 25 110 155 10 67 98
Character h r o u g h o u t c a l c l u -u -l u l u s .
Milliseconds 43 99 28 74 86 65 94 79 32 70 128 416 98 72 113 75 408 123 180 80 100 101 75
WPM Timing
Seconds WPM
1.78 47.06
3.57 63.87
5.35 67.23
7.14 87.4
8.92 91.44
10.71 98.61
12.49 94.13
14.28 102.53
16.06 107.57
17.85 104.21
19.63 108.19
21.42 105.89
23.2 108.61
24.99 108.53
26.77 109.37
28.56 110.52
30.34 109.95
32.13 108.69
33.91 104.39
35.7 106.9
37.48 106.29
39.27 106.66
41.05 108.16
42.84 109.54
44.62 108.92
46.41 110.68
48.19 111.56
49.97 110.7
51.76 111.52
53.54 108.69
55.33 110.39
57.11 110.31
58.9 111.65
60.68 111.73
62.47 110.26
64.25 110.94
66.04 109.39
67.82 108.46
69.61 109.47
71.39 110.77
73.18 111.35
74.96 112.7
76.75 113.05
78.53 114.3
80.32 115.34
82.1 116.2
83.89 116.01
85.67 116.68
87.46 117.45
89.24 116.18