nizika (shouronpou)

Race #2649

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Official speed 119.61 wpm (86.68 seconds elapsed during race)
Without ending ping 120.19 wpm (421 ms delay sending score to TypeRacer’s server)
Timerless 121.30 wpm (789 ms elapsed before first character typed; 85.47 seconds elapsed during race)
Timerless minus one 121.16 wpm, ignoring the first character typed
Race Start November 24, 2023 4:05:11pm UTC
Race Finish November 24, 2023 4:06:37pm UTC
Outcome Win (1 of 3)
Accuracy 98.2%
Points 322.94
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 i ss a tool that helps us understand how a canhange in one quanittity is related to a change in another. How does the speed of a failinglling object change as a function of time/ ? How does the level of watre er in a barrel change as a function of the amount of liquid p9uoured 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 inrtrotroduce the ideas of average and insntantenaneous rates of change, and show that they are closely related to the slop of ae of a curve at a point P on the curve. We give precise decvelovelopments of these important concepts in the next chapter, but for ynow se uwe 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 afoun foiundaundational role throughout calculus.
Timing
Character C a l c u l u s i s -s - s a t o o l t h
Milliseconds 789 147 114 297 80 55 214 115 126 109 114 163 199 125 96 75 85 91 30 104 97 139 103 87 92
Character a t h e l p s u s u n d e r s t a n d h o
Milliseconds 52 8 96 84 162 37 47 90 95 49 97 109 98 27 85 126 47 109 99 83 46 110 79 94 40
Character w a c a n -n -a h a n g e i n o n e q u a
Milliseconds 77 76 84 106 98 179 63 235 131 124 81 80 79 12 82 57 20 116 54 42 65 78 145 78 102
Character n i t -t -i t i t y i s r e l a t e d t o a
Milliseconds 90 73 102 275 126 126 57 83 49 80 75 73 76 78 53 132 79 39 63 133 77 80 54 88 101
Character c h a n g e i n a n o t h e r . H o w d
Milliseconds 105 114 77 80 69 45 51 93 21 24 129 14 131 35 60 110 33 27 124 38 146 90 38 95 99
Character o e s t h e s p e e d o f a f a i l i n
Milliseconds 69 123 10 141 81 83 96 74 91 47 107 129 161 77 40 117 130 51 141 95 65 88 80 74 94
Character g -g -n -i -l -i l l i n g o b j e c t c h a n g e
Milliseconds 77 197 144 124 130 127 194 113 45 46 45 45 91 38 145 110 127 65 63 145 110 50 95 63 0
Character a s a f u n c t i o n o f t i m e / -
Milliseconds 112 32 84 106 55 136 11 83 34 82 78 76 24 25 95 77 71 79 96 52 24 85 120 68 374
Character -/ ? H o w d o e s t h e l e v e l o f
Milliseconds 318 195 136 185 250 62 156 178 64 93 31 84 62 62 81 95 73 67 115 67 83 72 105 67 82
Character w a t r e - -e -r e r i n a b a r r e l c
Milliseconds 103 61 78 124 0 145 261 161 111 60 28 83 88 19 99 54 121 29 103 75 111 51 84 104 116
Character h a n g e a s a f u n c t i o n o f t h
Milliseconds 76 73 75 80 26 98 69 126 125 85 108 136 116 12 68 115 16 69 21 114 104 71 97 45 95
Character e a m o u n t o f l i q u i d p 9 u -u -9 o
Milliseconds 54 73 89 61 54 88 126 26 150 37 122 112 167 65 153 78 19 93 94 151 177 20 313 125 164
Character u r e d i n t o i t ? W e s e e c h a n
Milliseconds 39 47 33 100 76 90 17 83 74 54 106 56 240 42 165 205 109 103 23 131 110 96 81 100 43
Character g e o c c u r r i n g i n n e a r l y e v
Milliseconds 49 28 114 89 87 112 114 111 110 138 19 100 78 56 19 115 99 98 64 55 108 35 99 84 109
Character e r y t h i n g w e o b s e r v e i n t h
Milliseconds 66 92 60 132 82 17 93 45 79 87 25 114 57 38 119 23 51 175 30 113 56 42 92 66 46
Character e w o r l d a n d u n i v e r s e , a n d
Milliseconds 99 80 81 82 57 89 22 97 117 219 113 94 65 124 21 44 51 142 99 46 103 98 57 92 96
Character p o w e r f u l m o d e r n i n s t r u m e
Milliseconds 78 116 46 79 10 65 146 63 40 73 82 36 90 130 38 109 151 124 36 101 93 153 102 126 76
Character n t s h e l p u s s e e m o r e a n d
Milliseconds 69 65 65 75 81 99 70 26 107 52 79 111 64 28 129 123 54 37 57 11 134 13 85 95 46
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 81 16 78 11 94 35 173 134 81 90 50 6 78 76 99 46 156 64 76 26 44 79 68 26 128
Character i n r t r o -o -r -t -r t r o d u c e t h e i d e
Milliseconds 61 37 143 0 123 78 218 144 127 130 59 44 88 106 80 94 65 80 97 105 69 77 60 55 57
Character a s o f a v e r a g e a n d i n s n -n t a
Milliseconds 56 126 109 58 103 97 128 109 82 111 99 91 82 92 84 62 112 62 91 50 98 385 273 78 30
Character n t e n -n -e a n e o u s r a t e s o f c h a
Milliseconds 80 95 130 190 285 103 108 93 144 136 37 85 108 95 99 125 64 78 126 92 85 98 190 77 86
Character n g e , a n d s h o w t h a t t h e y a
Milliseconds 78 63 28 89 56 81 143 81 78 98 78 37 60 45 130 81 65 74 114 82 108 66 61 27 76
Character r e c l o s e l y r e l a t e d t o t h e
Milliseconds 62 64 22 180 57 112 22 48 88 17 104 221 31 120 61 40 53 142 80 65 72 71 41 71 80
Character s l o p o f a -a - -f -o - e o f a c u r
Milliseconds 78 68 101 106 99 116 92 103 94 35 180 143 143 128 112 77 92 75 340 127 89 118 109 113 65
Character v e a t a p o i n t P o n t h e c u
Milliseconds 177 27 146 86 60 138 38 141 105 10 55 6 64 82 116 87 155 54 108 70 108 45 97 116 78
Character r v e . W e g i v e p r e c i s e d e c v
Milliseconds 27 180 28 90 104 98 176 95 64 70 90 46 95 39 91 25 191 111 74 24 86 142 126 114 7
Character e l o -o -l -e -v -c v e l o p m e n t s o f t h e
Milliseconds 72 72 141 190 127 144 123 129 95 27 92 125 18 279 112 62 78 68 78 89 103 94 77 99 81
Character s e i m p o r t a n t c o n c e p t s i n
Milliseconds 83 62 88 96 55 69 79 104 155 81 148 95 111 129 35 22 133 67 85 119 68 75 90 16 101
Character t h e n e x t c h a p t e r , b u t f o r
Milliseconds 77 61 104 111 80 47 81 105 64 114 67 65 112 91 51 77 119 17 162 33 85 91 148 71 55
Character y -y n o w s e u -u - -e -s w e u s e a n
Milliseconds 174 193 259 156 37 27 78 116 24 115 66 242 145 143 128 155 48 79 129 81 26 82 69 78 142
Character i n f o r m a l a p p r o a c h s o y o u
Milliseconds 105 15 102 72 36 100 67 99 118 118 99 112 70 106 106 141 94 63 69 84 56 111 35 62 60
Character w i l l s e e h o w t h e y l e a d n a
Milliseconds 53 66 132 111 16 90 9 130 128 26 45 58 91 148 78 82 46 80 37 78 62 122 98 116 65
Character t u r a l l y t o t h e m a i n i d e a
Milliseconds 42 65 81 32 71 114 32 82 50 74 86 26 87 96 62 13 119 52 19 101 56 56 28 53 108
Character o f t h i s c h a p t e r , t h e l i m i
Milliseconds 69 101 82 68 61 23 80 61 111 76 69 85 119 28 98 78 66 68 77 49 77 60 9 88 39
Character t . T h e i d e a o f a l i m i t p l
Milliseconds 93 201 131 98 142 82 94 121 39 65 47 111 86 103 86 60 128 14 41 90 72 34 161 184 81
Character a y s a f o u n -n -u -o -f f o i u n d a -a -d -n -u
Milliseconds 53 82 100 123 32 161 85 39 99 275 127 145 110 94 45 77 0 32 34 102 45 174 148 127 127
Character -i u n d a t i o n a l r o l e t h r o u g h o
Milliseconds 128 187 11 88 27 65 72 27 8 216 117 102 65 17 119 67 81 47 84 57 94 17 56 79 119
Character u t c a l c u l u s .
Milliseconds 58 108 95 113 69 97 233 79 53 188 141 122
WPM Timing
Seconds WPM
1.73 48.45
3.47 65.76
5.2 92.29
6.93 91.71
8.67 94.14
10.4 103.83
12.14 112.73
13.87 115.08
15.6 107.67
17.34 112.13
19.07 110.12
20.8 109.6
22.54 107.56
24.27 111.24
26 113.06
27.74 113.78
29.47 113.19
31.21 113.44
32.94 115.49
34.67 117.67
36.41 118.66
38.14 119.87
39.87 121.28
41.61 123.15
43.34 122.1
45.07 122.46
46.81 122.29
48.54 119.4
50.28 119.82
52.01 120.9
53.74 121.91
55.48 120.05
57.21 119.35
58.94 120.11
60.68 120.64
62.41 118.44
64.14 118.79
65.88 119.31
67.61 119.98
69.35 118.54
71.08 118.18
72.81 118.5
74.55 119.44
76.28 120.82
78.01 121.67
79.75 122.04
81.48 121.5
83.21 119.4
84.95 120.36
86.68 119.61