Brim (brim002)

Race #1396

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Official speed 102.02 wpm (101.63 seconds elapsed during race)
Without ending ping 102.21 wpm (187 ms delay sending score to TypeRacer’s server)
Timerless 103.19 wpm (962 ms elapsed before first character typed; 100.48 seconds elapsed during race)
Timerless minus one 103.07 wpm, ignoring the first character typed
Race Start March 29, 2025 12:49:33am UTC
Race Finish March 29, 2025 12:51:15am UTC
Outcome No win (2 of 3)
Opponents 1. imnotflamez (116.97 wpm)
3. babaammiyoucef (100.27 wpm)
Accuracy 97.4%
Points 275.46
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 that helps us understand how a change in one quantity is crelated to a change in another. How does the dspeed of a falling object change as a function gofof 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 powerufful modern instruments helps us see more and more. In this section we introductee the ideas of average and insytatantopaneous rates of change,. and show that they ware closely related to the slope of a curevve at a popint P on the curve. We give preciusse dveeve;oplopments of these important concepts in the next chapter, but for now we use an informal papproach so you will see how they lead naturally tyoo the main idea of this chapter, the i;limit ,. The idea pofof a limit plays oa foundatiuononal trorole throughout xcalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 962 181 116 128 88 106 80 92 70 53 79 64 126 24 142 54 153 25 170 42 84 179 57 96 94
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 90 100 42 82 84 53 83 62 102 84 168 106 108 164 82 104 82 41 100 33 160 32 157 59 134
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 138 66 121 71 45 84 89 88 65 47 160 54 72 86 126 96 165 69 166 122 92 185 159 48 98
Character c -c r e l a t e d t o a c h a n g e i n
Milliseconds 104 142 191 77 76 48 126 86 63 63 40 87 37 66 173 57 132 68 134 59 61 68 124 66 70
Character a n o t h e r . H o w d o e s t h e d -d
Milliseconds 58 130 70 35 103 90 36 78 86 184 154 266 98 89 195 90 43 91 76 123 47 78 86 40 407
Character s p e e d o f a f a l l i n g o b j e c t
Milliseconds 142 95 84 172 46 64 68 87 89 62 83 145 134 58 146 143 35 40 86 48 184 86 100 64 134
Character c h a n g e a s a f u n c t i o n g o f
Milliseconds 75 65 86 153 79 32 40 112 40 168 70 100 74 109 77 46 48 66 50 57 69 90 108 4 12
Character -f -o -g o f t i m e ? H o w d o e s t h e
Milliseconds 355 147 160 146 141 93 100 41 45 72 192 182 200 186 102 90 116 88 68 48 68 110 62 80 66
Character l e v e l o f w a t e r i n a b a r r e
Milliseconds 84 50 112 86 62 110 76 64 84 106 42 76 112 42 185 73 84 74 97 91 51 87 116 178 90
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 76 64 66 71 111 105 39 50 118 64 160 88 106 76 292 84 64 43 89 44 44 62 112 58 58
Character t h e a m o u n t o f l i q u i d p o u
Milliseconds 102 74 74 50 112 46 164 64 172 58 58 104 42 84 95 683 67 117 100 146 246 146 72 181 175
Character r e d i n t o i t ? W e s e e c h a n g
Milliseconds 102 158 28 55 69 82 88 64 74 89 37 213 174 48 220 188 61 39 158 76 144 83 107 64 32
Character e o c c u r r i n g i n n e a r l y e v e
Milliseconds 56 112 64 83 141 96 132 148 126 55 93 100 118 55 105 148 72 82 130 54 113 72 105 48 76
Character r y t h i n g w e o b s e r v e i n t h e
Milliseconds 74 62 118 66 127 293 118 130 50 70 105 173 185 67 84 60 132 83 73 64 80 60 139 59 172
Character w o r l d a n d u n i v e r s e , a n d
Milliseconds 132 88 67 103 70 54 80 112 54 84 109 87 86 112 98 96 60 154 58 110 172 70 84 66 64
Character p o w e r u f -f -u f u l m o d e r n i n s t r
Milliseconds 104 148 42 23 169 120 84 272 135 53 76 150 76 148 49 59 94 114 44 132 68 73 105 184 246
Character u m e n t s h e l p s - -s u s s e e m o
Milliseconds 120 152 109 73 118 70 89 123 74 119 21 122 126 280 139 69 98 79 84 139 84 148 22 126 63
Character r e a n d m o r e . I n t h i s s e c t
Milliseconds 29 34 90 90 62 63 85 120 38 54 48 90 158 64 156 128 36 89 119 70 106 128 177 89 148
Character i o n w e i n t r o d u c t e -e -t e t h e
Milliseconds 86 48 36 96 60 104 46 121 51 108 134 300 357 105 88 68 190 226 202 106 118 72 70 58 64
Character i d e a s o f a v e r a g e a n d i n s y
Milliseconds 70 63 169 76 116 64 46 96 99 89 252 80 52 220 82 75 71 72 76 110 87 105 52 103 115
Character t a -a -t -y t a n t o p -p -o a n e o u s r a t e s
Milliseconds 25 100 252 151 138 46 166 122 88 144 8 299 159 66 152 82 116 156 58 82 110 136 70 40 82
Character o f c h a n g e , . - -. a n d s h o w
Milliseconds 58 375 94 84 51 110 92 44 87 71 123 4 177 224 154 64 86 94 80 73 169 48 156 56 66
Character t h a t t h e y w -w a r e c l o s e l y r
Milliseconds 96 36 128 45 50 100 35 115 61 56 83 257 111 39 88 55 200 59 52 80 30 120 82 79 120
Character e l a t e d t o t h e s l o p e o f a
Milliseconds 33 66 104 104 48 46 54 94 20 102 80 82 76 106 116 83 511 103 101 110 58 60 92 90 80
Character c u r e v -v -e v e a t a p o p -p i n t P
Milliseconds 110 78 110 8 48 332 139 68 33 104 216 90 100 94 79 79 153 5 349 228 75 50 106 158 134
Character o n t h e c u r v e . W e g i v e p r e
Milliseconds 114 72 68 132 57 141 61 113 102 92 90 108 134 156 86 176 77 213 105 95 55 75 144 90 182
Character c i u s -s -u s e d v e -e -v e v e ; o p -p -o -; l o
Milliseconds 46 226 10 94 382 140 232 70 118 280 284 69 207 140 43 118 177 194 16 48 343 151 142 80 553
Character p m e n t s o f t h e s e i m p o r t a n t
Milliseconds 65 152 104 70 90 72 76 65 79 56 126 23 147 108 82 132 138 72 126 156 62 46 162 100 128
Character c o n c e p t s i n t h e n e x t c h a
Milliseconds 158 134 88 46 86 70 96 106 112 52 74 64 132 23 147 106 65 51 70 66 116 98 60 78 110
Character p t e r , b u t f o r n o w w e u s e
Milliseconds 99 75 106 82 55 151 174 155 36 131 66 82 84 44 122 37 89 64 104 104 100 144 34 82 84
Character a n i n f o r m a l p -p a p p r o a c h s o
Milliseconds 84 74 128 180 84 90 112 96 88 66 104 116 126 248 204 54 140 76 128 78 180 42 58 164 52
Character y o u w i l l s e e h o w t h e y l e
Milliseconds 94 138 80 154 67 121 92 192 138 78 20 50 299 151 122 166 54 75 125 41 97 50 57 123 30
Character a d n a t u r a l l y t y o -o -y o t h e m
Milliseconds 62 116 80 138 54 154 50 108 68 47 167 44 98 92 12 106 300 148 50 62 84 80 64 82 132
Character a i n i d e a o f t h i s c h a p t e r ,
Milliseconds 98 50 58 108 192 98 162 72 50 64 66 95 73 88 178 102 96 108 72 120 74 117 139 65 41
Character t h e i -i ; -; l i m i t - , -, . T h e i
Milliseconds 148 52 82 78 60 123 222 131 408 184 174 81 73 77 111 226 417 354 51 174 104 145 53 88 44
Character d e a p o f -f -o -p o f a l i m i t p l a y
Milliseconds 46 166 42 56 70 10 70 218 148 154 50 78 98 52 94 156 236 51 95 52 96 70 94 63 113
Character s o -o a f o u n d a t i u o n -n -o -u o n a l
Milliseconds 92 76 270 250 96 94 234 38 184 46 139 223 168 72 0 63 35 252 168 138 54 54 128 84 97
Character t r o -o -r -t r o l e t h r o u g h o u t x -x c
Milliseconds 146 0 63 373 173 232 108 82 120 46 110 138 148 106 106 150 146 74 154 158 24 122 156 310 155
Character a l c u l u s .
Milliseconds 177 87 131 79 105 104 120 452
WPM Timing
Seconds WPM
2.03 70.85
4.07 103.32
6.1 108.24
8.13 110.7
10.16 112.17
12.2 113.16
14.23 112.17
16.26 114.39
18.29 111.52
20.33 112.17
22.36 114.32
24.39 116.11
26.42 115.81
28.46 114.71
30.49 114.93
32.52 115.13
34.55 114.95
36.59 116.11
38.62 114.97
40.65 114.54
42.68 113.3
44.72 114.59
46.75 113.97
48.78 112.91
50.81 112.65
52.85 110.13
54.88 110.21
56.91 110.49
58.94 111.16
60.98 110.99
63.01 109.51
65.04 109.59
67.07 108.78
69.11 106.79
71.14 105.09
73.17 105.45
75.2 106.27
77.24 106.89
79.27 106.57
81.3 106.71
83.33 107.13
85.37 106.97
87.4 107.37
89.43 106.41
91.46 105.48
93.5 105.12
95.53 104.51
97.56 103.2
99.59 103.02
101.63 102.02