ogamiseta (samarthos)

Race #1455

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Official speed 102.86 wpm (100.80 seconds elapsed during race)
Without ending ping 102.97 wpm (104 ms delay sending score to TypeRacer’s server)
Timerless 103.28 wpm (303 ms elapsed before first character typed; 100.39 seconds elapsed during race)
Timerless minus one 103.16 wpm, ignoring the first character typed
Race Start August 30, 2023 1:29:46pm UTC
Race Finish August 30, 2023 1:31:27pm UTC
Outcome No win (1 of 1)
Accuracy 98.0%
Points 277.73
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 aone quanittytity is related ot a to a dchange in another. How does the speed of a falling object change as a function of time? How does the level of water in a batrrel change as a function of the amount of liquid poured into it? We see schange 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 instanteaneous rates of change, and show that they are closely related ot to the slope of a curve at a point P ion 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 limitl. The idea o f a limiltt plays a foundational role thoroughout calcuculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 303 192 99 155 120 150 100 82 116 102 65 67 100 60 115 58 134 135 75 95 54 100 37 38 104
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 87 130 191 116 83 89 88 67 131 161 52 139 96 142 116 116 87 114 76 128 64 40 68 63 92
Character c h a n g e i n a -a o n e q u a n i t t y -y
Milliseconds 108 76 101 100 88 56 73 82 77 71 78 270 175 49 79 62 154 69 144 85 131 73 168 110 194
Character -t -t -i t i t y i s r e l a t e d o t a -
Milliseconds 137 135 146 171 86 119 101 141 124 109 72 116 44 109 69 101 91 162 77 109 8 80 101 69 263
Character -a - -t -o t o a d -d c h a n g e i n a n o t
Milliseconds 149 124 112 128 231 89 65 104 129 147 233 104 67 94 119 107 68 74 75 75 65 62 113 69 59
Character h e r . H o w d o e s t h e s p e e d o
Milliseconds 59 56 72 44 85 209 120 79 103 97 65 78 90 76 81 60 85 100 89 51 116 129 149 106 57
Character f a f a l l i n g o b j e c t c h a n g e
Milliseconds 77 82 95 81 127 90 79 143 109 58 61 94 92 185 232 117 189 119 86 153 66 104 77 104 58
Character a s a f u n c t i o n o f t i m e ? H
Milliseconds 204 141 158 62 156 143 170 77 156 174 130 74 42 32 104 119 98 33 160 51 52 132 288 206 296
Character o w d o e s t h e l e v e l o f w a t e
Milliseconds 158 103 67 151 65 100 85 88 58 82 44 140 71 36 183 39 144 11 352 97 125 189 58 155 100
Character r i n a b a t -t r r e l c h a n g e a s
Milliseconds 76 33 97 74 58 74 93 118 67 86 247 119 124 112 111 101 203 72 83 92 79 66 116 73 109
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 122 58 99 79 73 156 88 132 59 88 8 97 149 88 106 99 48 68 67 87 47 118 69 139 88
Character o f l i q u i d p o u r e d i n t o i t
Milliseconds 100 110 87 28 130 106 229 101 44 180 105 131 47 174 223 122 258 87 44 71 126 84 96 161 133
Character ? W e s e e s -s c h a n g e o c c u r r i
Milliseconds 262 143 713 321 138 248 99 147 94 134 212 119 43 110 101 66 66 89 127 88 148 86 120 402 194
Character n g i n n e a r l y e v e r y t h i n g w
Milliseconds 68 75 133 117 62 87 162 44 46 81 106 174 107 66 160 80 151 205 204 75 69 102 27 113 81
Character e o b s e r v e i n t h e w o r l d a n
Milliseconds 39 117 160 161 131 74 324 298 71 98 94 75 69 70 64 62 78 100 49 94 60 130 29 140 14
Character d u n i v e r s e , a n d p o w e r f u l
Milliseconds 284 19 546 159 106 101 60 169 91 78 92 79 77 74 102 49 91 100 83 41 84 205 82 116 84
Character m o d e r n i n s t r u m e n t s h e l p u
Milliseconds 212 54 112 160 66 58 105 130 76 88 105 324 120 203 145 21 562 108 109 186 83 123 220 136 109
Character s s e e m o r e a n d m o r e . I n t
Milliseconds 119 68 133 58 138 80 96 54 34 54 46 108 51 117 61 89 76 15 59 121 45 219 112 87 103
Character h i s s e c t i o n w e i n t r o d u c e
Milliseconds 77 39 65 84 187 45 241 144 85 75 13 113 224 80 112 102 61 83 150 83 159 86 226 186 70
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 113 43 95 96 94 62 139 62 158 94 108 170 157 105 174 81 166 76 135 53 65 102 88 109 42
Character i n s t a n t e -e a n e o u s r a t e s o f
Milliseconds 125 80 20 118 88 201 128 210 481 99 85 135 208 57 149 120 148 72 191 61 167 126 116 79 115
Character c h a n g e , a n d s h o w t h a t t h e
Milliseconds 135 89 30 147 60 45 100 61 81 80 97 46 100 58 79 65 65 129 43 52 76 43 128 41 130
Character y a r e c l o s e l y r e l a t e d o t
Milliseconds 119 98 80 101 69 54 161 81 119 71 38 141 134 97 119 49 86 120 73 93 139 76 138 11 81
Character - -t -o t o t h e s l o p e o f a c u r v
Milliseconds 462 156 168 200 83 57 107 66 77 97 72 62 133 129 144 64 91 98 67 109 32 171 51 136 194
Character e a t a p o i n t P i -i o n t h e c
Milliseconds 51 102 124 138 94 68 88 153 24 197 90 103 107 202 188 85 303 202 44 90 92 70 71 73 151
Character u r v e . W e g i v e p r e c i s e d e v
Milliseconds 55 116 216 43 110 52 320 241 95 162 85 131 46 116 192 116 71 306 90 351 91 94 185 163 190
Character e l o p m e n t s o f t h e s e i m p o r t
Milliseconds 37 109 139 167 161 85 120 67 85 92 96 67 58 109 48 38 125 52 138 123 54 153 51 64 169
Character a n t c o n c e p t s i n t h e n e x t
Milliseconds 60 55 129 75 162 59 51 103 180 132 129 70 74 96 74 66 51 75 68 90 103 57 176 118 61
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 355 60 137 233 114 79 116 159 92 190 157 109 106 107 94 71 83 140 53 29 107 127 29 92 125
Character s e a n i n f o r m a l a p p r o a c h s
Milliseconds 69 55 96 150 98 91 120 65 73 122 93 48 127 93 75 91 96 146 110 84 107 134 71 83 124
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 86 74 113 68 33 57 95 96 62 134 70 72 53 147 76 128 59 44 79 84 83 40 152 110 115
Character e a d n a t u r a l l y t o t h e m a i n
Milliseconds 55 78 125 64 93 80 157 69 107 68 112 134 130 123 231 84 65 89 62 62 97 110 41 105 72
Character i d e a o f t h i s c h a p t e r , t h
Milliseconds 58 146 73 132 61 70 90 71 95 78 51 112 51 192 167 81 90 139 240 107 77 98 60 148 66
Character e l i m i t l -l . T h e i d e a o - f
Milliseconds 97 61 89 104 62 134 78 8 431 234 77 215 112 131 124 187 72 145 57 94 130 177 365 106 71
Character a l i m i l t -t -l t p l a y s a f o u n d
Milliseconds 92 117 83 95 107 147 51 14 387 154 103 104 162 84 86 139 118 114 29 118 84 71 47 154 96
Character a t i o n a l r o l e t h o -o r o u g h o u t
Milliseconds 55 191 87 128 39 110 131 83 145 70 128 60 60 142 92 196 354 74 152 51 146 103 170 67 148
Character c a l c u c u -u -c l u s .
Milliseconds 90 221 60 117 122 70 98 118 242 127 199 55 80 88
WPM Timing
Seconds WPM
2.02 95.24
4.03 110.12
6.05 119.05
8.06 101.19
10.08 100
12.1 88.3
14.11 95.24
16.13 99.71
18.14 100.53
20.16 100.6
22.18 99.57
24.19 100.7
26.21 101.19
28.22 103.32
30.24 104.37
32.26 103.05
34.27 99.79
36.29 99.54
38.3 99.63
40.32 99.71
42.33 100.06
44.35 101.19
46.37 100.93
48.38 99.95
50.4 101.91
52.41 102.11
54.43 102.08
56.45 102.26
58.46 101.19
60.48 102.78
62.49 103.5
64.51 102.31
66.53 102.64
68.54 102.07
70.56 101.87
72.57 101.36
74.59 101.84
76.61 102.45
78.62 102.41
80.64 102.98
82.65 103.37
84.67 104.31
86.69 104.52
88.7 105.25
90.72 105.29
92.73 104.56
94.75 103.6
96.77 103.92
98.78 103.38
100.8 102.86