tstats[krishhhhna] (krishhhhna)

Race #4291

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Official speed 102.07 wpm (101.58 seconds elapsed during race)
Without ending ping 102.28 wpm (207 ms delay sending score to TypeRacer’s server)
Timerless 105.05 wpm (2,670 ms elapsed before first character typed; 98.70 seconds elapsed during race)
Timerless minus one 104.92 wpm, ignoring the first character typed
Race Start November 21, 2023 2:36:57pm UTC
Race Finish November 21, 2023 2:38:39pm UTC
Outcome No win (3 of 5)
Opponents 1. thelastmuffin (111.02 wpm)
2. m00tya (102.67 wpm)
4. gushinartem (101.28 wpm)
5. alfabetica (90.64 wpm)
Accuracy 98.3%
Points 275.60
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. How does the speed of a falling object change as a function of time? HOw ow does the level of water in a barrel change as a function of the maamount of liquid puoured into it? We see change occuriring in nearly everything we observer in 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 teh she slpopop eoe 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 apporroach so you will see how they lea dnatd naturally atto the main idea of this chapeter, the limit. The idea of a litmmit 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 2670 177 94 164 102 199 227 118 94 130 53 109 121 54 111 54 139 146 135 90 69 43 84 60 87
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 81 112 157 107 66 83 102 104 106 170 48 166 80 184 90 80 80 109 49 83 65 25 116 100 97
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 119 115 89 81 131 36 88 93 60 113 95 65 100 99 154 131 113 91 126 90 115 101 75 125 74
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 98 80 78 112 132 95 63 164 60 129 17 115 95 108 105 119 86 74 120 43 19 115 63 74 210
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 80 130 33 79 108 77 53 117 175 52 95 95 77 55 125 48 125 71 49 63 44 90 63 108 153
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 98 43 129 97 72 107 73 54 104 76 129 170 77 72 46 101 73 180 80 156 189 79 145 97 154
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 20 138 61 57 109 127 122 103 99 36 97 167 55 165 45 21 103 95 70 98 81 118 42 93 68
Character ? H O w - -w -O o w d o e s t h e l e v e
Milliseconds 227 122 166 71 167 121 244 131 162 232 70 90 111 55 122 85 36 117 49 56 54 74 91 131 61
Character l o f w a t e r i n a b a r r e l c h
Milliseconds 150 139 126 93 59 230 134 75 129 71 62 114 37 104 52 130 92 65 93 139 165 119 77 116 103
Character a n g e a s a f u n c t i o n o f t h e
Milliseconds 99 55 131 52 39 103 111 64 119 67 104 76 162 51 175 26 22 101 65 59 99 32 125 31 63
Character m a -a -m a m o u n t o f l i q u i d p u -u
Milliseconds 10 152 257 243 103 121 141 164 105 159 94 29 129 105 34 132 84 123 110 194 111 93 192 176 331
Character o u r e d i n t o i t ? W e s e e c h a
Milliseconds 228 178 129 87 157 38 146 70 45 118 88 86 76 217 121 282 256 109 117 43 146 70 136 147 85
Character n g e o c c u r i -i r i n g i n n e a r l y
Milliseconds 59 139 46 32 111 339 166 113 113 100 427 215 129 82 115 70 58 54 99 128 87 23 74 84 180
Character e v e r y t h i n g w e o b s e r v e r i
Milliseconds 54 107 189 115 71 63 130 85 127 79 96 42 114 41 133 191 134 242 63 112 195 108 101 19 113
Character n - -n -i - -r i n t h e w o r l d a n d
Milliseconds 70 101 279 131 135 148 161 200 123 99 76 131 38 96 114 82 68 86 70 147 19 120 61 92 70
Character u n i v e r s e , a n d p o w e r f u l m o
Milliseconds 96 138 85 155 170 99 147 44 101 84 41 102 44 52 78 170 16 7 98 152 46 177 100 131 131
Character d e r n i n s t r u m e n t s h e l p u s
Milliseconds 133 139 160 152 107 95 62 98 99 242 148 200 95 107 66 129 153 155 104 92 156 71 104 119 89
Character s e e m o r e a n d m o r e . I n t h i
Milliseconds 81 77 117 92 108 88 34 88 58 107 56 104 57 45 88 77 64 96 79 187 64 100 73 54 56
Character s s e c t i o n w e i n t r o d u c e t h
Milliseconds 72 80 94 63 194 157 69 12 91 89 39 68 123 100 52 153 94 99 194 96 142 144 51 140 28
Character e i d e a s o f a v e r a g e a n d i n
Milliseconds 45 69 75 93 155 42 159 67 125 66 127 330 221 122 84 117 140 68 103 104 82 50 79 70 81
Character s t a n t a n e o u s r a t e s o f c h a n
Milliseconds 49 91 94 116 56 432 111 160 151 138 154 86 109 88 102 90 133 115 83 315 127 117 68 102 72
Character g e , a n d s h o w t h a t t h e y a r
Milliseconds 109 26 88 96 25 116 44 110 32 83 73 35 123 67 60 43 110 38 169 24 102 105 41 96 102
Character e c l o s e l y r e l a t e d t o t e h
Milliseconds 65 123 120 104 165 96 40 115 211 53 68 92 66 142 68 85 138 76 52 84 88 37 79 0 138
Character s -s - -h -e h e s l p o p -p -o -p o p e o -o -e - e
Milliseconds 28 403 157 134 128 201 35 128 41 142 127 172 94 380 162 136 230 113 117 95 101 263 132 150 18
Character o f a c u r v e a t a p o i n t P
Milliseconds 157 79 61 124 77 146 13 148 64 179 107 151 76 97 105 27 152 85 179 83 71 90 81 198 212
Character o n t h e c u r v e . W e g i v e p r e
Milliseconds 172 68 237 98 61 46 114 125 45 122 188 49 112 118 395 197 130 78 96 93 44 69 88 124 79
Character c i s e d e v e l o p m e n t s o f t h e s
Milliseconds 169 175 136 39 143 178 153 184 33 87 153 50 184 82 91 76 132 67 150 108 108 102 17 46 167
Character e i m p o r t a n t c o n c e p t s i n t
Milliseconds 60 65 95 118 83 180 54 161 117 28 144 226 158 55 63 103 156 81 104 137 6 134 103 106 64
Character h e n e x t c h a p t e r , b u t f o r
Milliseconds 78 26 104 43 49 184 188 96 162 99 120 106 102 87 90 73 115 150 171 48 42 160 99 75 0
Character n o w w e u s e a n i n f o r m a l a p
Milliseconds 73 87 85 69 127 19 117 67 65 32 120 90 69 129 92 62 122 97 74 80 147 114 74 147 35
Character p o r -r -o r o a c h s o y o u w i l l s e
Milliseconds 195 181 69 257 118 102 120 105 195 67 89 125 86 90 102 163 73 118 64 85 44 144 85 68 49
Character e h o w t h e y l e a d n a t -t -a -n -d - d
Milliseconds 138 116 104 65 91 140 133 51 102 77 40 140 36 23 192 9 108 80 126 222 108 171 152 155 101
Character n a t u r a l l y a t -t -a t o t h e m a i
Milliseconds 83 139 72 142 126 83 90 53 147 180 71 85 132 261 137 142 110 84 82 56 52 46 122 106 98
Character n i d e a o f t h i s c h a p e -e t e r ,
Milliseconds 82 112 79 82 165 10 113 67 82 71 120 0 45 67 73 146 88 121 136 176 330 91 122 97 47
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 115 97 56 38 58 108 58 105 132 115 141 111 217 103 36 121 74 88 165 47 75 87 71 118 59
Character l i t m -m -t m i t p l a y s a f o u n d a
Milliseconds 152 87 73 104 101 288 91 245 53 90 55 46 159 77 131 103 35 182 189 124 134 92 149 46 154
Character t i o n a l r o l e t h r o u g h o u t c a
Milliseconds 77 43 28 91 138 166 203 82 92 147 61 88 164 93 72 46 102 51 57 140 60 66 89 132 167
Character l c u l u s .
Milliseconds 109 133 141 286 182 111 127
WPM Timing
Seconds WPM
2.03 0
4.06 32.49
6.09 63.01
8.13 78.27
10.16 86.24
12.19 94.51
14.22 98.73
16.25 103.37
18.28 105.01
20.32 105.14
22.35 103.1
24.38 104.35
26.41 105.87
28.44 104.64
30.47 103.57
32.5 102.63
34.54 102.15
36.57 101.4
38.6 101.97
40.63 98.35
42.66 99.57
44.69 100.95
46.73 100.67
48.76 101.65
50.79 103.25
52.82 103.82
54.85 103.92
56.88 103.58
58.91 104.49
60.95 105.14
62.98 104.42
65.01 102.26
67.04 101.31
69.07 101.28
71.1 101.09
73.14 101.24
75.17 101.69
77.2 102.13
79.23 102.39
81.26 103.52
83.29 102.72
85.32 103.09
87.36 102.06
89.39 101.49
91.42 102.39
93.45 102.21
95.48 102.3
97.51 102.02
99.55 102.34
101.58 102.07