KMMOPJ1 (blueflammednezha)

Race #1733

View Pit Stop page for race #1733 by blueflammednezha — Ghost race

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Official speed 85.87 wpm (120.74 seconds elapsed during race)
Without ending ping 86.10 wpm (317 ms delay sending score to TypeRacer’s server)
Timerless 86.34 wpm (336 ms elapsed before first character typed; 120.09 seconds elapsed during race)
Timerless minus one 86.24 wpm, ignoring the first character typed
Race Start November 1, 2023 12:54:07am UTC
Race Finish November 1, 2023 12:56:07am UTC
Outcome No win (3 of 4)
Opponents 1. ttboyd884 (95.66 wpm)
2. 7wolves (94.38 wpm)
Accuracy 96.9%
Points 231.86
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 Cacllcullusus is a tool that helps us understand how a change in one quanititquantitiy is related to a change in another. How does the speed of a falling onbject change as a cunfunction of time>? How does the level of water in a barrel change as a function of the amoutn oamount of liquid pioured into it?W We see change occurring in nearly eveyrything we observe in teh wthwe ee world and universe, and powerful omodern intestructments help us assee more and more. In this secition we introducdee the ideas of average and instandtaneous rates of change, and show that they are closely related to the slope of a curve at a point P on teh the curve. We give precise developments of these important coneccepts in the next chapeteter, but for now we use an informal approach so you will see how they lead naturally to the main idea of this chapter, athe limit.T The idea of a limit plays a foundational orrole throughout calculaus.
Timing
Character C a c l -l -c l c u l l u s -s -u -l u s i s a t
Milliseconds 336 209 78 81 439 132 220 130 114 85 283 64 159 279 120 177 479 93 29 216 123 101 342 98 200
Character o o l t h a t h e l p s u s u n d e r s t
Milliseconds 111 167 219 75 92 76 68 75 34 159 117 176 48 161 95 103 108 111 241 69 93 209 85 224 100
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 154 59 49 169 84 98 39 95 83 106 106 91 59 94 173 36 84 173 57 242 185 56 84 114 181
Character u a n i t i t -q -u -a -n -i -t -i -t q u a n t i t i -i y
Milliseconds 84 152 56 205 39 164 0 374 0 0 0 0 0 0 0 507 96 121 68 215 62 114 97 481 202
Character i s r e l a t e d t o a c h a n g e i
Milliseconds 53 177 57 117 105 58 135 119 72 193 61 103 124 42 90 74 92 114 100 81 107 92 51 94 154
Character n a n o t h e r . H o w d o e s t h e s
Milliseconds 35 220 154 63 68 86 95 87 55 170 180 192 216 118 104 135 229 80 104 101 86 75 15 89 227
Character p e e d o f a f a l l i n g o n -n b j e c
Milliseconds 107 107 183 56 97 154 94 88 89 95 170 77 47 160 121 58 88 117 299 205 423 163 186 68 74
Character t c h a n g e a s a c u n -c -u -n f u n c t
Milliseconds 191 140 167 89 84 90 91 88 74 159 53 75 94 125 238 73 71 370 0 0 159 84 38 77 171
Character i o n o f t i m e > -> ? H o w d o e s t
Milliseconds 49 57 61 177 122 55 124 52 79 88 52 408 385 314 260 188 235 63 98 104 96 114 92 82 104
Character h e l e v e l o f w a t e r i n a b a
Milliseconds 55 35 57 191 55 67 122 80 108 171 49 96 50 126 116 182 42 80 174 46 173 39 106 206 58
Character r r e l c h a n g e a s a f u n c t i o n
Milliseconds 92 166 240 76 93 90 91 78 83 76 55 95 113 89 167 28 117 83 110 66 34 198 63 53 45
Character o f t h e a m o u t n o -o -a -m -o -u -t -n - a
Milliseconds 165 144 49 95 86 37 23 110 100 112 45 124 54 0 146 171 272 135 0 0 0 0 0 0 227
Character m o u n t o f l i q u i d p i -i o u r e d
Milliseconds 61 129 96 99 103 88 191 131 531 155 195 229 98 107 151 173 272 119 396 194 81 108 190 67 80
Character i n t o i t ? W -W W e s e e c h a n g e
Milliseconds 127 56 56 79 81 280 88 374 403 421 163 152 196 95 296 61 169 62 90 93 54 99 85 45 79
Character o c c u r r i n g i n n e a r l y e v e y -y
Milliseconds 173 65 141 208 82 590 104 81 56 75 200 42 160 191 32 112 80 52 247 21 121 73 156 143 339
Character r y t h i n g w e o b s e r v e i n t e h
Milliseconds 165 132 114 82 184 74 49 123 158 74 108 257 110 222 73 54 239 114 96 171 41 164 59 66 0
Character w -w -t -e -h - t h w e - -e e -e -w e w o r l d
Milliseconds 102 132 374 106 0 0 0 133 82 157 0 49 384 187 162 229 132 112 98 90 84 71 186 100 100
Character a n d u n i v e r s e , a n d p o w e r f u
Milliseconds 127 43 90 42 167 70 172 67 186 68 183 97 99 198 56 93 41 92 168 68 230 56 48 213 58
Character l o -o m o d e r n i n t e -e -t s t r u c t -t -c
Milliseconds 135 153 309 448 190 22 124 207 29 53 82 166 84 84 162 258 154 62 71 66 90 124 201 290 179
Character m e n t s h e l p u s a s -s -a s e e m o r
Milliseconds 147 116 70 113 120 198 231 154 198 113 268 186 88 137 112 125 358 172 89 57 176 59 197 30 54
Character e a n d m o r e . I n t h i s s e c i -i
Milliseconds 49 84 66 76 33 102 208 58 93 76 95 149 178 149 155 34 113 176 76 96 158 80 76 258 325
Character t i o n w e i n t r o d u c d e -e -d e t h e
Milliseconds 93 69 81 46 165 250 44 76 171 46 247 70 152 141 94 90 386 38 255 134 119 35 106 49 52
Character i d e a s o f a v e r a g e a n d i n s
Milliseconds 104 256 94 65 107 144 120 126 69 107 174 104 188 72 144 113 94 105 153 21 77 91 160 62 91
Character t a n d -d t a n e o u s r a t e s o f c h a
Milliseconds 72 185 114 255 326 82 268 103 429 92 85 136 95 174 92 145 63 107 145 114 115 224 88 119 57
Character n g e , a n d s h o w t h a t t h e y a
Milliseconds 109 95 59 110 185 23 107 50 156 331 111 59 73 109 86 115 54 75 103 117 87 68 160 15 106
Character r e c l o s e l y r e l a t e d t o t h e
Milliseconds 83 90 108 146 59 177 54 64 116 184 66 122 53 153 87 64 194 76 90 109 49 80 84 54 24
Character s l o p e o f a c u r v e a t a p o
Milliseconds 87 213 41 222 104 121 124 112 94 109 134 102 272 154 67 231 97 121 112 189 126 95 89 196 61
Character i n t P o n t e h -t -e -h - t h e c u r v
Milliseconds 61 46 58 109 211 154 174 50 182 42 117 48 177 410 0 0 0 278 68 40 168 41 110 98 239
Character e . W e g i v e p r e c i s e d e v e l o
Milliseconds 119 112 145 279 279 89 226 75 116 82 56 181 55 90 206 123 103 83 111 174 86 166 67 108 202
Character p m e n t s o f t h e s e i m p o r t a n t
Milliseconds 92 232 86 105 86 114 109 156 100 68 87 55 45 164 104 65 161 64 139 77 45 40 153 26 90
Character c o n e c -c -e c e p t s i n t h e n e x t
Milliseconds 101 176 31 83 114 108 282 141 48 72 69 120 78 93 180 18 124 65 75 0 104 202 41 230 160
Character c h a p e t e -e -t -e t e r , b u t f o r n
Milliseconds 171 221 118 62 106 120 64 227 186 154 139 89 99 112 50 173 206 164 84 72 142 33 91 79 160
Character o w w e u s e a n i n f o r m a l a p p
Milliseconds 39 24 154 180 50 86 141 73 80 44 172 82 202 197 43 107 106 80 95 162 159 111 190 132 162
Character r o a c h s o y o u w i l l s e e h o w
Milliseconds 87 95 180 71 73 77 139 118 69 169 91 91 48 171 97 166 157 58 160 53 170 123 188 65 76
Character t h e y l e a d n a t u r a l l y t o t
Milliseconds 160 92 66 90 110 49 195 84 108 91 46 182 49 72 108 127 64 43 158 184 64 101 59 91 52
Character h e m a i n i d e a o f t h i s c h a p
Milliseconds 95 0 164 214 119 72 94 187 151 35 91 77 79 161 18 153 40 66 170 54 132 64 76 96 88
Character t e r , a -a t h e l i m i t . T -T T h e i
Milliseconds 172 168 102 55 182 44 362 165 83 33 154 144 123 72 133 94 130 327 368 174 197 165 19 193 177
Character d e a o f a l i m i t p l a y s a f o
Milliseconds 78 73 60 98 163 69 163 22 124 236 176 67 153 67 107 168 29 76 164 56 96 85 86 250 74
Character u n d a t i o n a l o r -r -o r o l e t h r o u
Milliseconds 91 63 78 152 122 68 33 65 173 78 89 435 38 270 119 160 93 174 85 72 123 61 232 98 98
Character g h o u t c a l c u l a -a u s .
Milliseconds 107 107 139 88 33 186 154 166 90 113 209 171 55 321 176 88 77
WPM Timing
Seconds WPM
2.41 29.82
4.83 39.75
7.24 61.29
9.66 74.54
12.07 66.59
14.49 68.74
16.9 75.96
19.32 78.89
21.73 77.85
24.15 79.01
26.56 79.06
28.98 80.34
31.39 82.19
33.81 86.25
36.22 83.82
38.64 81.68
41.05 80.97
43.47 81.44
45.88 81.6
48.3 81.5
50.71 80.22
53.13 79.51
55.54 80.59
57.96 79.3
60.37 78.52
62.79 78.17
65.2 79.33
67.61 79.33
70.03 79.34
72.44 79.51
74.86 79.51
77.27 80.6
79.69 81.77
82.1 82.58
84.52 82.92
86.93 82.27
89.35 82.6
91.76 83.43
94.18 83.97
96.59 83.24
99.01 83.99
101.42 84.36
103.84 84.83
106.25 85.72
108.67 86.36
111.08 86.1
113.5 85.96
115.91 86.55
118.33 86.2
120.74 85.87