InterstitialVideo Event Called!! (aelius_raellla)

Race #3254

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Official speed 91.92 wpm (112.79 seconds elapsed during race)
Without ending ping 91.95 wpm (34 ms delay sending score to TypeRacer’s server)
Timerless 92.19 wpm (298 ms elapsed before first character typed; 112.46 seconds elapsed during race)
Timerless minus one 92.08 wpm, ignoring the first character typed
Race Start January 11, 2024 10:26:45pm UTC
Race Finish January 11, 2024 10:28:37pm UTC
Outcome No win (3 of 4)
Opponents 1. dudepc (108.65 wpm)
2. duckyboi (108.06 wpm)
Accuracy 97.7%
Points 248.20
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 lootoor thl that helps us understand how a change in one quantity is related to a change in anthoother. How does the speed of a falling object change as a funtction of time? How does the levecl uf of water in a barrel change as a funtction 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 insturmruments help us see more and more. In this section we introduce the ideas of average and aninstantaneauous rates of change, and show that they are closely related to the slope of a curve at a point P on the curevve. We give precise developments of these improoratant concepts in the next chanpter, but for now we use an informal approach osso you will see how they lead natrulurally to hthe main idea of this cmahapter, the limit. The idea of a limit plaays ys a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a l o o -o -o -l t o o r
Milliseconds 298 124 74 171 106 142 121 83 113 118 96 108 110 94 92 117 123 258 155 159 156 65 126 183 114
Character t h -h -t - -r l t h a t h e l p s u s u n d
Milliseconds 91 63 243 153 144 148 87 116 90 64 104 87 93 163 146 319 164 159 200 191 80 93 145 52 79
Character e r s t a n d h o w a c h a n g e i n o
Milliseconds 108 60 80 105 96 41 87 80 129 75 51 83 112 83 107 82 28 47 111 85 76 99 34 74 95
Character n e q u a n t i t y i s r e l a t e d t o
Milliseconds 51 117 54 184 124 71 176 297 117 71 132 84 119 88 84 142 91 100 122 102 122 93 92 128 115
Character a c h a n g e i n a n t h o -o -h -t o t h e
Milliseconds 67 398 85 136 69 44 52 99 89 65 97 39 66 144 36 89 85 77 237 173 135 102 69 27 125
Character r . H o w d o e s t h e s p e e d o f
Milliseconds 60 115 82 239 114 42 49 100 58 46 74 72 69 52 87 42 80 85 55 136 63 85 76 91 69
Character a f a l l i n g o b j e c t c h a n g e a
Milliseconds 91 115 105 181 94 154 70 41 88 103 221 112 206 63 116 69 67 139 71 51 32 108 78 88 93
Character s a f u n t -t c t i o n o f t i m e ? H
Milliseconds 87 92 80 82 114 195 139 219 311 118 77 87 34 57 67 121 62 103 27 116 63 97 221 89 207
Character o w d o e s t h e l e v e c -c l u f - -f
Milliseconds 93 46 55 105 52 60 74 48 90 43 80 43 104 140 83 116 167 2746 141 299 257 77 65 457 185
Character -u o f w a t e r i n a b a r r e l c h a
Milliseconds 134 835 167 127 132 91 74 126 58 86 97 46 70 104 76 147 106 77 134 83 94 82 149 72 33
Character n g e a s a f u n t -t c t i o n o f t h
Milliseconds 42 113 55 108 83 83 81 87 100 145 297 47 116 287 85 97 68 33 52 62 97 74 82 50 70
Character e a m o u n t o f l i q u i d p o u r e d
Milliseconds 101 68 279 87 142 55 45 86 97 319 80 88 143 91 192 95 65 135 107 213 100 52 86 147 78
Character i n t o i t ? W e s e e c h a n g e o
Milliseconds 87 93 43 55 118 53 137 76 271 78 167 138 70 91 108 117 66 77 97 15 45 125 104 56 112
Character c c u r r i n g i n n e a r l y e v e r y t
Milliseconds 53 135 79 81 135 101 36 76 92 137 38 86 228 72 29 337 193 97 92 156 100 79 89 105 78
Character h i n g w e o b s e r v e i n t h e w o
Milliseconds 52 76 33 74 79 105 81 99 128 56 289 117 320 114 164 69 143 37 70 83 74 69 83 108 60
Character r l d a n d u n i v e r s e , a n d p o w
Milliseconds 42 144 42 87 76 35 81 86 104 42 139 272 139 73 103 142 155 95 95 25 70 92 230 103 73
Character e r f u l m o d e r n i n s t u r m -m -r -u r u
Milliseconds 92 263 156 188 76 94 228 70 130 116 88 139 114 149 37 223 80 133 79 147 222 131 134 139 187
Character m e n t s h e l p u s s e e m o r e a n
Milliseconds 46 144 56 61 75 166 189 102 63 119 54 133 82 81 104 92 134 49 127 58 92 93 68 111 41
Character d m o r e . I n t h i s s e c t i o n w
Milliseconds 78 86 123 116 67 104 90 58 151 99 53 60 58 95 85 94 141 118 84 62 82 39 76 96 140
Character e i n t r o d u c e t h e i d e a s o f
Milliseconds 114 80 142 30 87 450 455 116 140 190 97 36 77 64 98 78 137 56 127 33 63 130 213 290 108
Character a v e r a g e a n d a n -n -a i n s t a n t a n
Milliseconds 236 192 143 80 120 80 119 65 114 36 72 72 496 99 160 192 103 31 56 68 109 53 460 175 59
Character e a u -u -a o u s r a t e s o f c h a n g e ,
Milliseconds 203 416 228 225 117 104 41 67 106 201 94 68 136 40 97 167 110 92 141 82 38 40 113 83 98
Character a n d s h o w t h a t t h e y a r e c
Milliseconds 41 160 39 77 79 110 74 63 75 105 100 60 76 70 253 228 55 111 49 85 199 94 126 51 185
Character l o s e l y r e l a t e d t o t h e s l o
Milliseconds 59 105 95 126 71 196 102 160 109 94 154 63 167 74 85 283 106 43 93 51 99 51 107 183 138
Character p e o f a c u r v e a t a p o i n t
Milliseconds 310 114 71 146 125 104 139 199 208 141 67 189 126 92 184 371 109 266 242 571 139 56 56 944 333
Character P o n t h e c u r e v -v -e v e . W e g i
Milliseconds 442 590 181 24 72 90 53 70 83 177 103 91 331 125 457 110 359 120 226 97 187 133 22 145 88
Character v e p r e c i s e d e v e l o p m e n t s o
Milliseconds 70 119 62 172 91 97 125 110 80 94 100 282 120 79 124 71 214 119 553 111 40 72 82 108 108
Character f t h e s e i m p r o -o -r o r a -a t a n t c
Milliseconds 74 72 96 39 119 65 115 61 233 117 126 112 89 317 128 107 43 162 289 160 75 46 48 132 166
Character o n c e p t s i n t h e n e x t c h a n -n
Milliseconds 89 43 124 126 56 181 65 102 159 29 54 80 61 87 58 147 47 73 514 81 249 48 111 58 289
Character p t e r , b u t f o r n o w w e u s e
Milliseconds 130 120 387 89 383 113 112 85 320 130 94 140 64 90 99 72 84 49 137 95 72 161 104 88 68
Character a n i n f o r m a l a p p r o a c h o s -s -o
Milliseconds 122 48 81 384 25 96 148 73 116 81 115 111 131 71 135 94 122 130 142 92 105 143 4 367 131
Character s o y o u w i l l s e e h o w t h e y
Milliseconds 63 100 64 102 48 18 43 111 67 65 150 49 88 79 127 73 117 46 63 70 98 41 84 41 56
Character l e a d n a t r u l -l -u -r u r a l l y t o h
Milliseconds 118 90 28 99 73 213 55 112 140 69 155 172 128 143 115 71 108 48 121 293 114 112 125 97 171
Character -h t h e m a i n i d e a o f t h i s c m
Milliseconds 398 169 60 109 96 79 84 57 36 104 120 69 111 42 87 129 41 80 41 74 334 137 71 234 93
Character a -a -m h a p t e r , t h e l i m i t . T h e
Milliseconds 270 148 132 90 142 60 202 130 49 209 100 97 64 60 77 119 97 86 121 70 153 107 196 117 88
Character i d e a o f a l i m i t p l a a y s -
Milliseconds 86 97 83 109 40 94 133 34 103 105 137 260 78 154 118 92 216 133 89 107 62 12 142 82 264
Character -s -y -a y s a f o u n d a t i o n a l r o l e
Milliseconds 142 135 135 130 85 81 124 103 113 110 48 26 115 109 65 106 50 41 160 69 69 123 70 131 142
Character t h r o u g h o u t c a l c u l u s .
Milliseconds 98 149 70 113 110 35 63 88 117 41 38 98 157 126 98 404 150 55 168 70 102
WPM Timing
Seconds WPM
2.26 74.47
4.51 55.85
6.77 67.38
9.02 86.44
11.28 89.37
13.54 89.54
15.79 94.99
18.05 97.74
20.3 97.52
22.56 101.6
24.81 93.82
27.07 86.88
29.33 85.52
31.58 87.77
33.84 89.37
36.09 90.43
38.35 92.31
40.61 93.09
42.86 93.79
45.12 95.48
47.37 95.5
49.63 94.06
51.89 95.52
54.14 97.08
56.4 96.6
58.65 96.77
60.91 95.16
63.16 94.04
65.42 95.2
67.68 95.57
69.93 95.75
72.19 94.92
74.44 93.17
76.7 92.46
78.96 91.19
81.21 91.32
83.47 91.44
85.72 90.85
87.98 90.98
90.23 90.3
92.49 90.95
94.75 90.68
97 92.16
99.26 91.4
101.51 91.61
103.77 91.12
106.03 91.79
108.28 90.98
110.54 91.62
112.79 91.92