Gita (gist23)

Race #256

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Official speed 80.91 wpm (128.14 seconds elapsed during race)
Without ending ping 81.08 wpm (270 ms delay sending score to TypeRacer’s server)
Timerless 81.40 wpm (500 ms elapsed before first character typed; 127.37 seconds elapsed during race)
Timerless minus one 81.31 wpm, ignoring the first character typed
Race Start November 22, 2024 9:02:37am UTC
Race Finish November 22, 2024 9:04:45am UTC
Outcome No win (3 of 5)
Opponents 1. supercoldv (93.57 wpm)
4. evan_30 (78.73 wpm)
Accuracy 96.7%
Points 218.47
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 hthat helps us ounderstand 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 tchange occurring in nearly everytinhing we observe in the world and universe, and powerbful modern instruments help us esee anmpetore and more. In theisis sicectoion we introcuduce the ideas of average and instanteananeous rates of change, and show that they ar e closely realtlated to the slope of a scirvuvrrve a tt a point P on the curve. We give precise develpopments of these important oconcept s in the next chapter, but for now we use and info informal approach so you wil sl see how they lead naturally ito the main idea of this chapter, the limit, . the The edidea of a limit plays a foundational role throughtout calculus.
Timing
Character C a l c u l u s i s a t o o l h -h t h a t
Milliseconds 500 193 124 244 85 84 115 98 89 97 67 68 152 61 120 48 136 179 73 214 270 94 84 85 61
Character h e l p s u s o -o u n d e r s t a n d h o
Milliseconds 31 172 104 65 115 104 50 101 100 44 87 297 185 163 168 124 72 109 93 90 76 93 65 67 114
Character w a c h a n g e i n o n e q u a n t i t
Milliseconds 350 136 99 99 117 99 116 64 102 82 53 83 136 82 115 53 82 117 211 87 154 115 184 115 100
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 85 101 132 97 52 128 86 166 147 89 184 162 71 101 99 94 105 97 226 96 82 84 98 67 47
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 73 397 101 131 116 105 145 104 68 96 86 30 185 118 100 128 119 118 67 150 100 116 115 68 110
Character s p e e d o f a f a l l i n g o b j e c t
Milliseconds 40 99 96 106 134 77 71 103 96 134 112 98 123 52 132 84 100 137 274 89 82 138 97 148 152
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 64 119 82 83 297 105 97 84 129 125 118 443 167 106 281 162 99 152 57 77 71 234 108 99 74
Character t i m e ? H o w d o e s t h e l e v e l
Milliseconds 150 46 67 452 197 417 135 120 85 97 92 92 68 112 53 99 85 78 64 101 74 117 139 78 96
Character o f w a t e r i n a b a r r e l c h a n
Milliseconds 111 354 119 82 72 64 127 89 87 164 100 78 90 117 145 106 163 119 93 91 65 135 84 82 85
Character g e a s a f u n c t i o n o f t h e a
Milliseconds 79 87 165 66 86 98 115 98 120 100 129 89 177 54 70 64 132 87 108 55 353 84 99 64 102
Character m o u n t o f l i q u i d p o u r e d i n
Milliseconds 116 73 111 151 112 285 99 122 47 110 107 196 89 79 155 79 180 89 170 231 96 183 68 79 135
Character t o i t ? W e s e e t -t c h a n g e o c
Milliseconds 156 96 187 114 114 153 148 217 101 96 123 384 175 188 103 301 99 85 64 101 97 84 119 49 478
Character c u r r i n g i n n e a r l y e v e r y t i
Milliseconds 155 198 62 323 119 64 147 68 53 67 96 154 118 133 82 115 118 64 231 165 132 57 144 139 121
Character n -n -i h i n g w e o b s e r v e i n t h e
Milliseconds 114 333 120 214 85 79 101 96 69 78 93 65 125 124 147 121 217 129 81 52 95 102 166 98 88
Character w o r l d a n d u n i v e r s e , a n d
Milliseconds 69 213 88 57 157 128 209 210 102 97 121 134 146 84 47 123 50 98 223 127 67 206 93 116 100
Character p o w e r b -b f u l m o d e r n i n s t r u m
Milliseconds 184 338 163 99 95 228 264 84 100 110 85 282 106 96 133 63 71 116 119 65 285 127 166 73 162
Character e n t s h e l p u s e -e s e e a n -n -a m p
Milliseconds 68 87 52 144 105 166 114 121 162 120 82 103 48 127 343 88 109 157 92 112 80 244 144 169 87
Character e t -t -e -p o r e a n d m o r e . I n t h e
Milliseconds 30 66 280 115 320 202 53 73 73 135 248 119 69 91 89 85 98 158 0 254 130 70 341 111 84
Character i s -s -i -e i s s i c -c -i e c t o -o i o n w e
Milliseconds 104 175 255 94 118 219 69 69 150 111 108 193 125 81 148 168 131 514 207 80 82 96 106 69 82
Character i n t r o c u -u -c d u c e t h e i d e a s o
Milliseconds 83 78 88 144 77 111 78 278 243 117 100 63 168 86 129 73 94 51 69 103 126 168 256 195 86
Character f a v e r a g e a n d i n s t a n t e a n -n
Milliseconds 86 101 45 136 135 64 183 78 117 223 87 175 378 141 135 101 36 149 118 163 165 231 105 126 225
Character -a -e a n e o u s r a t e s o f c h a n g e ,
Milliseconds 124 93 80 103 363 279 87 139 66 115 96 83 106 134 67 62 87 78 115 51 70 128 323 85 194
Character a n d s h o w t h a t t h e y a r - e
Milliseconds 56 97 104 59 136 186 93 63 77 118 113 69 86 64 33 380 113 84 89 114 154 102 124 439 95
Character c l o s e l y r e a l t -t -l -a l a t e d t o
Milliseconds 50 141 96 146 54 190 63 117 76 174 65 112 87 137 280 119 132 230 27 59 133 190 125 217 353
Character t h e s l o p e o f a s -s c i r v -v -r -i
Milliseconds 143 89 113 72 51 115 163 164 88 147 88 133 113 86 85 130 183 281 105 100 95 201 317 134 120
Character u v r -r -v r v e a t -t - t a p o i n t P
Milliseconds 202 46 264 275 99 295 148 146 107 114 128 25 553 183 100 98 80 117 96 97 127 278 123 125 173
Character o n t h e c u r v e . W e g i v e p r
Milliseconds 134 133 94 139 110 134 105 117 155 107 88 214 150 267 104 183 101 152 80 168 108 126 113 335 99
Character e c i s e d e v e l p -p o p m e n t s o f t
Milliseconds 78 204 117 231 154 84 132 119 149 116 100 428 558 234 114 116 100 84 50 103 90 55 103 35 161
Character h e s e i m p o r t a n t o -o c o n c e p t
Milliseconds 56 82 123 473 565 90 241 305 116 115 137 78 104 94 89 167 364 99 99 71 471 142 82 89 119
Character - s i n t h e n e x t c h a p t e r , b
Milliseconds 417 84 82 82 502 133 108 88 67 49 121 97 166 137 46 119 67 77 104 55 132 83 40 40 127
Character u t f o r n o w w e u s e a n d i n f
Milliseconds 127 99 96 180 192 99 77 236 58 53 105 241 95 78 187 80 88 110 81 103 100 51 73 75 110
Character o -o -f -n -i - -d i n f o r m a l a p p r o a c h
Milliseconds 82 238 128 109 109 125 121 355 94 116 69 534 152 83 88 99 49 199 120 113 347 123 247 132 107
Character s o y o u w i l s -s - l s e e h o w
Milliseconds 41 214 86 50 183 87 98 32 103 79 151 236 176 307 120 264 82 85 152 130 52 81 84 34 100
Character t h e y l e a d n a t u r a l l y i -i t o
Milliseconds 166 82 85 84 18 229 83 173 194 120 199 85 128 151 65 58 116 131 80 65 151 323 98 118 45
Character t h e m a i n i d e a o f t h i s c h a
Milliseconds 135 369 85 49 46 103 115 87 47 378 123 144 118 139 110 86 81 259 78 75 90 96 125 96 101
Character p t e r , t h e l i m i t , - -, . t h e
Milliseconds 270 124 127 81 219 80 119 80 99 52 67 98 87 160 142 127 82 454 119 275 53 261 112 111 114
Character - -e -h -t T h e e d -d -e i d e a o f a l i m
Milliseconds 216 119 120 295 207 96 118 369 127 138 398 117 218 42 126 150 143 126 147 499 113 100 182 141 47
Character i t p l a y s a f o u n d a t i o n a l r
Milliseconds 150 137 46 99 224 115 97 84 52 126 88 83 47 88 145 171 179 102 356 92 103 97 89 33 181
Character o l e t h r o u g h t -t o u t c a l c u l u s
Milliseconds 60 152 46 172 184 253 251 84 61 152 206 421 278 202 47 79 87 97 96 75 260 103 98 116 185
Character .
Milliseconds 49
WPM Timing
Seconds WPM
2.56 88.96
5.13 81.94
7.69 93.65
10.25 95.99
12.81 96.46
15.38 100.67
17.94 100.33
20.5 97.74
23.07 96.77
25.63 98.33
28.19 99.61
30.75 99.89
33.32 99.41
35.88 97.32
38.44 96.77
41.01 95.4
43.57 95.57
46.13 95.21
48.69 94.39
51.26 94.11
53.82 91.64
56.38 90.45
58.95 88.56
61.51 88.77
64.07 88.4
66.63 87.16
69.2 87.92
71.76 87.96
74.32 87.35
76.89 87.25
79.45 85.19
82.01 84.28
84.57 84.14
87.14 84.14
89.7 83.75
92.26 83.24
94.83 82.51
97.39 83.05
99.95 83.32
102.51 82.17
105.08 82.45
107.64 82.27
110.2 82.32
112.77 82.58
115.33 82.82
117.89 81.53
120.45 80.6
123.02 81.16
125.58 81.22
128.14 80.91