gemskillz (gemskillz)

Race #312

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Official speed 78.99 wpm (131.26 seconds elapsed during race)
Without ending ping 79.04 wpm (81 ms delay sending score to TypeRacer’s server)
Timerless 79.34 wpm (503 ms elapsed before first character typed; 130.67 seconds elapsed during race)
Timerless minus one 79.25 wpm, ignoring the first character typed
Race Start January 13, 2025 5:51:34pm UTC
Race Finish January 13, 2025 5:53:46pm UTC
Outcome No win (2 of 5)
Opponents 3. luke120801 (74.32 wpm)
4. helenaa_26 (62.57 wpm)
Accuracy 97.2%
Points 213.27
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 cCalculus is a tool that helps us understand how ta change in one quantity is related to a change in another. How does the speed of a flalling object change as a function of time?" How does the level of water in a barrel change as a function of the amount oif f liquif d poiurded into it? We see change occuring in nering in nearly everything we observe in the world and univeersrse, and powerful moder n indsturtruments help us nsee more and more. In this section we intrtooduce the ideas of average inand instanggttaneoous us rates of change, and show that they are closely related to the slope of a curve at a point P on the cureve. wWe give precise developments of these important concepts in the nteext chgapapter, but for nwo ow we use an informal approach so you will see how the y lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout coalculus.
Timing
Character c -c C a l c u l u s i s a t o o l t h a t
Milliseconds 503 475 316 192 368 135 149 189 212 85 118 113 101 105 95 104 178 54 134 217 185 148 101 48 132
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 68 131 87 154 835 110 89 112 135 116 151 183 65 139 96 146 307 212 117 68 50 168 75 58 116
Character t -t a c h a n g e i n o n e q u a n t i t
Milliseconds 119 314 68 132 183 64 110 79 117 81 35 134 66 67 184 118 15 99 690 77 133 108 148 82 228
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 234 87 199 50 118 266 99 139 112 152 134 179 166 19 117 34 149 135 217 116 83 134 48 38 47
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 135 66 83 155 127 120 115 101 82 69 82 133 317 135 115 118 132 88 112 104 96 135 50 86 35
Character s p e e d o f a f l -l a l l i n g o b j e
Milliseconds 178 68 99 117 171 62 183 69 84 116 117 119 245 373 62 167 123 132 46 50 86 166 297 118 111
Character c t c h a n g e a s a f u n c t i o n o
Milliseconds 281 229 97 150 106 61 134 48 69 34 232 135 119 113 100 172 79 197 351 168 52 115 67 68 165
Character f t i m e ? " - -" H o w d o e s t h e
Milliseconds 51 100 166 85 66 102 321 0 77 455 228 135 337 213 85 115 122 78 101 125 74 151 66 50 90
Character l e v e l o f w a t e r i n a b a r r e
Milliseconds 128 87 146 82 152 83 183 35 136 81 186 97 149 68 101 132 104 79 120 130 166 167 154 134 114
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 134 69 179 103 50 150 50 67 16 304 114 118 98 135 279 102 183 201 202 65 95 40 66 186 80
Character t h e a m o u n t o i f - -f -i f l i q u
Milliseconds 84 133 18 99 84 136 119 96 129 234 78 130 98 16 116 82 237 163 118 103 62 135 100 167 109
Character i f - -f d p o i -i u r d -d e d i n t o i t
Milliseconds 109 154 128 416 136 85 65 186 146 90 427 250 48 225 343 85 166 33 169 134 82 102 116 154 46
Character ? W e s e e c h a n g e o c c u r i n g
Milliseconds 332 69 319 179 69 383 125 128 132 152 65 81 121 63 67 17 215 123 197 149 89 111 88 30 67
Character i n n e -n -e - -n -i - -g -n -i r i n g i n n e a
Milliseconds 116 82 77 262 111 400 0 294 173 172 140 156 167 366 135 94 92 64 66 136 66 82 216 70 99
Character r l y e v e r y t h i n g w e o b s e r v e
Milliseconds 122 94 134 67 100 148 103 99 118 132 67 100 100 18 82 254 131 100 149 110 239 119 149 184 51
Character i n t h e w o r l d a n d u n i v e e r
Milliseconds 115 136 32 100 120 95 51 71 169 113 82 136 113 85 149 100 51 33 168 187 150 145 105 112 41
Character s -s -r -e r s e , a n d p o w e r f u l m o d
Milliseconds 197 267 194 121 135 134 129 119 116 131 67 68 71 113 149 137 63 137 199 117 98 85 254 112 65
Character e r - n i n d -d s t u r -r -u t -t r u m e n t s
Milliseconds 184 70 110 489 352 123 59 83 86 480 69 164 118 69 436 146 276 492 87 180 234 100 103 82 115
Character h e l p u s n -n s e e m o r e a n d m
Milliseconds 68 198 186 83 101 84 150 98 120 186 228 69 197 141 276 123 80 17 102 0 197 93 73 68 168
Character o r e . I n t h i s s e c t i o n w e i
Milliseconds 82 0 78 155 68 617 101 102 180 52 82 73 27 199 167 186 180 38 48 48 52 132 316 103 118
Character n t r t o -o -t o d u c e t h e i d e a s o f
Milliseconds 32 223 161 16 102 402 117 250 96 134 105 261 100 133 68 51 67 184 84 200 151 83 148 168 98
Character a v e r a g e i n -n -i a n d i n s t a n g g
Milliseconds 74 642 121 132 123 184 110 84 52 181 84 301 115 104 129 50 51 148 52 67 199 117 84 119 114
Character -g t -t -g t a n e o o u s - -s -u -o u s r a t e s
Milliseconds 266 53 363 180 176 134 181 198 200 95 155 38 97 215 155 156 175 271 46 82 218 270 116 66 132
Character o f c h a n g e , a n d s h o w t h a t
Milliseconds 86 164 66 66 215 103 50 166 18 83 154 80 117 51 131 25 260 51 132 52 115 171 73 73 86
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 64 165 92 177 118 67 119 64 83 34 398 53 170 46 116 117 153 52 194 50 166 151 151 67 183
Character t o t h e s l o p e o f a c u r v e
Milliseconds 68 135 83 83 282 101 115 102 198 102 183 73 61 51 230 103 117 133 116 183 68 116 232 86 50
Character a t a p o i n t P o n t h e c u r e -e
Milliseconds 232 200 135 148 135 499 188 82 116 148 68 233 166 150 69 82 117 66 52 83 200 102 114 86 547
Character v e . w -w W e g i v e p r e c i s e d e v
Milliseconds 52 133 135 148 234 350 684 233 184 199 119 100 52 48 133 68 84 232 149 119 117 83 312 169 119
Character e l o p m e n t s o f t h e s e i m p o r t
Milliseconds 67 101 197 19 199 69 147 50 119 84 195 57 120 96 15 135 263 107 112 181 143 131 103 117 175
Character a n t c o n c e p t s i n t h e n t e -e -t
Milliseconds 70 150 165 133 158 117 117 114 209 109 143 135 33 90 62 100 130 19 52 114 133 87 82 404 148
Character e x t c h g a p -p -a -g a p t e r , b u t f o
Milliseconds 117 184 170 143 170 50 16 97 152 216 155 130 120 132 113 118 101 134 66 247 135 118 68 135 115
Character r n w o - -o -w o w w e u s e a n i n f
Milliseconds 76 74 116 98 13 147 340 171 139 225 51 100 145 107 136 367 129 100 117 136 64 166 232 126 94
Character o r m a l a p p r o a c h s o y o u w i l
Milliseconds 118 116 331 89 215 115 169 131 118 67 464 102 215 102 56 325 184 234 137 148 83 50 100 104 135
Character l s e e h o w t h e - y l e a d n a t
Milliseconds 176 21 136 129 168 198 149 87 83 83 125 76 118 81 349 235 34 199 54 65 163 86 150 99 144
Character u r a l l y t o t h e m a i n i d e a o
Milliseconds 206 86 227 106 119 132 66 215 85 121 147 17 115 34 152 80 119 106 30 380 84 187 112 134 120
Character f t h i s c h a p t e r , t h e l i m i t
Milliseconds 96 69 116 18 84 86 78 199 104 83 134 232 156 81 101 80 121 55 59 67 252 149 99 117 181
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 136 135 450 249 64 71 149 150 152 137 143 136 84 116 99 116 69 99 104 136 110 103 116 168 97
Character y s a f o u n d a t i o n a l r o l e t h
Milliseconds 117 83 101 115 149 137 151 180 184 18 168 116 47 54 66 335 99 314 189 64 482 221 113 120 63
Character r o u g h o u t c o -o a l c u l u s .
Milliseconds 119 49 152 81 132 135 150 0 84 250 68 414 88 150 256 141 120 245 127 163
WPM Timing
Seconds WPM
2.63 36.57
5.25 61.71
7.88 67.04
10.5 73.14
13.13 73.14
15.75 79.23
18.38 82.93
21 82.28
23.63 82.79
26.25 80.91
28.88 83.11
31.5 85.33
34.13 85.8
36.75 84.89
39.38 81.06
42 80.85
44.63 79.86
47.25 77.46
49.88 78.91
52.5 80.45
55.13 79.67
57.75 79.16
60.38 76.72
63 76.76
65.63 77.53
68.25 77.89
70.88 78.05
73.5 77.38
76.13 76.45
78.75 75.73
81.38 76.83
84 77.57
86.63 78.13
89.25 77.98
91.88 77.71
94.51 77.2
97.13 77.83
99.76 78.07
102.38 78.06
105.01 77.94
107.63 77.49
110.26 77.27
112.88 77.5
115.51 77.71
118.13 78.12
120.76 78.7
123.38 78.78
126.01 79.23
128.63 79.2
131.26 78.99