Amit (amtijais)

Race #6069

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Official speed 86.73 wpm (119.54 seconds elapsed during race)
Without ending ping 87.09 wpm (490 ms delay sending score to TypeRacer’s server)
Timerless 87.62 wpm (729 ms elapsed before first character typed; 118.32 seconds elapsed during race)
Timerless minus one 87.52 wpm, ignoring the first character typed
Race Start October 24, 2023 5:16:29pm UTC
Race Finish October 24, 2023 5:18:29pm UTC
Outcome No win (2 of 3)
Opponents 1. khoitran (96.35 wpm)
Accuracy 98.0%
Points 234.16
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 tha ht halelps us understand how a change is n one quantity is related to ta change in another. How does the slpeed 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 amoung of t of ligqquid poured into it? We see change occuring ring in nearly everything we observe in the sowworld and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instanteanoeous rates of achange, and show that they are closely related to the slope of a curve at a poitnnt P on the curve. We give precise developments of these important concepts in the next chanpter, but for now e we use an informal approach so you will see how they lead naturally to the main idea of this chapter, the limite. The idea of a limit plays a foundatonional role thoroughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a h -h
Milliseconds 729 231 91 145 114 142 129 127 73 79 141 49 131 61 135 88 158 181 91 118 103 42 139 95 373
Character - t h a l -l -a e l p s u s u n d e r s t a n
Milliseconds 142 61 115 95 143 97 558 141 128 133 385 116 78 146 108 69 233 149 103 176 91 129 108 118 74
Character d h o w a c h a n g e i s - -s n o n e
Milliseconds 109 115 142 87 78 75 121 64 205 107 116 97 105 46 99 179 112 105 458 141 325 92 129 96 123
Character q u a n t i t y i s r e l a t e d t o t
Milliseconds 96 209 100 139 124 241 114 159 118 161 276 68 104 131 85 107 143 121 118 173 112 99 117 58 94
Character -t a c h a n g e i n a n o t h e r . H o w
Milliseconds 309 119 71 172 118 80 101 94 75 69 107 115 54 296 113 102 41 92 113 104 120 39 219 120 93
Character d o e s t h e s l -l p e e d o f a f a
Milliseconds 119 103 80 94 116 84 141 102 41 114 92 84 345 260 85 164 171 51 156 144 61 126 82 409 67
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 100 185 71 93 75 109 140 89 139 41 193 135 95 173 94 86 101 85 66 90 129 130 41 157 26
Character f u n c t i o n o f t i m e ? H o w d o e
Milliseconds 163 94 135 113 178 135 95 126 75 129 97 98 106 71 69 46 285 131 190 152 138 113 143 79 108
Character s t h e l e v e l o f w a t e r i n a
Milliseconds 119 60 147 78 161 64 60 171 154 83 42 89 156 77 80 89 120 109 108 138 3 120 96 92 116
Character b a r r e l c h a n g e a s a f u n c t
Milliseconds 66 124 131 214 189 86 130 95 272 106 87 108 146 60 85 176 146 44 137 41 123 135 238 139 198
Character i o n o f t h e a m o u n g o f - -f -o -
Milliseconds 105 104 83 93 72 136 68 157 16 155 86 184 83 86 171 180 79 185 149 166 130 270 149 131 176
Character -g t o f l i g q -q -g q u i d p o u r e d i
Milliseconds 406 157 97 103 150 63 193 99 97 188 250 137 117 145 59 185 87 223 83 185 161 77 211 95 155
Character n t o i t ? W e s e e c h a n g e o c c
Milliseconds 66 94 79 88 110 90 279 143 170 246 168 160 111 179 95 160 116 161 100 110 70 140 408 90 172
Character u r i n g - -g -n -i r i n g i n n e a r l y
Milliseconds 92 138 77 84 96 100 397 149 137 341 181 124 86 59 127 78 107 83 331 43 96 110 101 92 71
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 213 183 93 129 69 183 52 90 129 100 57 204 92 105 238 86 250 74 162 214 63 120 66 121 111
Character t h e s o w -w -o -s w o r l d a n d u n i v e
Milliseconds 88 96 74 145 118 103 131 223 136 122 105 162 107 104 97 121 135 98 105 26 196 177 91 67 109
Character r s e , a n d p o w e r f u l m o d e r n
Milliseconds 173 117 87 171 99 201 79 184 112 103 96 74 78 52 191 86 88 118 181 96 141 188 91 115 109
Character i n s t r u m e n t s h e l p u s s e e m
Milliseconds 178 88 69 141 157 112 186 56 165 51 110 51 148 129 62 189 100 157 117 71 199 87 150 75 173
Character o r e a n d m o r e . I n t h i s s e c
Milliseconds 65 78 44 82 87 109 84 51 97 65 73 46 139 94 165 194 87 105 98 60 105 71 255 116 210
Character t i o n w e i n t r o d u c e t h e i d e
Milliseconds 158 104 85 95 64 92 77 117 142 72 530 172 95 116 95 107 186 115 117 106 92 65 99 108 158
Character a s o f a v e r a g e a n d i n s t a n t
Milliseconds 101 158 138 119 107 72 135 190 104 161 123 146 104 84 256 101 77 72 119 83 203 145 118 137 201
Character e -e a n o -o e o u s r a t e s o f a -a c h a
Milliseconds 91 494 110 146 170 357 44 227 86 137 163 217 112 111 102 173 168 130 103 81 117 558 132 101 93
Character n g e , a n d s h o w t h a t t h e y a
Milliseconds 75 117 83 92 106 79 84 104 51 119 70 49 88 67 100 97 70 67 67 178 76 133 107 58 90
Character r e c l o s e l y r e l a t e d t o t h e
Milliseconds 83 96 23 182 90 155 47 59 109 68 97 155 131 64 124 102 86 169 103 98 104 66 82 69 93
Character s l o p e o f a c u r v e a t a p o
Milliseconds 81 135 102 134 141 133 95 122 62 116 88 154 334 73 91 212 76 84 249 111 93 171 115 329 93
Character i t n -n -t n t P o n t h e c u r v e . W
Milliseconds 152 146 34 482 138 226 70 126 650 305 202 74 89 76 180 100 97 150 135 37 210 79 104 52 230
Character e g i v e p r e c i s e d e v e l o p m e n
Milliseconds 175 95 219 108 160 42 124 148 112 69 223 100 103 100 125 350 170 176 65 148 204 122 209 130 108
Character t s o f t h e s e i m p o r t a n t c o n
Milliseconds 88 133 100 127 95 64 129 27 123 157 87 100 156 82 120 87 57 179 97 60 139 275 222 69 68
Character c e p t s i n t h e n e x t c h a n -n p t
Milliseconds 157 202 60 128 122 86 144 136 136 86 92 91 108 142 60 188 116 115 171 84 100 89 484 213 126
Character e r , b u t f o r n o w e - -e w e u s
Milliseconds 105 122 179 87 267 81 107 68 143 52 107 63 135 131 79 69 147 175 331 146 121 67 88 131 97
Character e a n i n f o r m a l a p p r o a c h s o
Milliseconds 51 131 208 78 106 121 74 96 118 60 119 198 106 180 307 102 147 71 173 145 148 118 57 184 73
Character y o u w i l l s e e h o w t h e y l e
Milliseconds 93 89 116 84 53 138 135 147 157 134 66 80 177 127 123 91 83 58 268 119 99 116 52 123 43
Character a d n a t u r a l l y t o t h e m a i n
Milliseconds 96 135 97 140 57 109 116 76 95 64 168 86 84 222 103 100 22 105 96 82 101 83 97 84 84
Character i d e a o f t h i s c h a p t e r , t h e
Milliseconds 199 143 147 94 103 95 95 86 96 91 59 98 70 203 81 87 92 115 84 138 75 97 110 62 103
Character l i m i t e -e . T h e i d e a o f a l
Milliseconds 66 102 70 162 86 88 75 430 223 102 184 239 146 24 146 214 213 134 624 134 127 77 156 74 350
Character i m i t p l a y s a f o u n d a t o n -n -o i
Milliseconds 51 154 56 68 153 206 103 46 197 115 86 189 78 252 76 71 159 96 125 122 189 95 379 126 317
Character o n a l r o l e t h o -o r o u g h o u t c a
Milliseconds 84 79 136 101 211 110 113 158 95 88 93 82 146 319 75 151 70 100 110 159 91 70 100 251 130
Character l c u l u s .
Milliseconds 68 156 82 123 117 144 181
WPM Timing
Seconds WPM
2.39 75.29
4.78 62.74
7.17 65.25
9.56 72.78
11.95 70.27
14.35 72.78
16.74 77.44
19.13 78.42
21.52 80.86
23.91 83.32
26.3 84.87
28.69 87.83
31.08 88.41
33.47 89.27
35.86 84.66
38.25 83.44
40.64 83.55
43.04 82.82
45.43 81.63
47.82 82.31
50.21 81.74
52.6 82.36
54.99 83.14
57.38 84.07
59.77 85.73
62.16 85.52
64.55 86.07
66.94 86.22
69.34 84.98
71.73 84.82
74.12 86.3
76.51 87.21
78.9 87.15
81.29 85.62
83.68 85.75
86.07 85.74
88.46 86.27
90.85 86.38
93.24 86.1
95.63 85.95
98.03 86.18
100.42 86.4
102.81 86.96
105.2 87.61
107.59 88.45
109.98 87.83
112.37 87.57
114.76 87.1
117.15 86.86
119.54 86.73