blob (blobery)

Race #5890

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Official speed 92.99 wpm (111.50 seconds elapsed during race)
Without ending ping 93.19 wpm (105 ms delay sending score to TypeRacer’s server)
Timerless 93.80 wpm (730 ms elapsed before first character typed; 110.66 seconds elapsed during race)
Timerless minus one 93.69 wpm, ignoring the first character typed
Race Start August 2, 2024 7:16:27am UTC
Race Finish August 2, 2024 7:18:18am UTC
Outcome Win (1 of 3)
Opponents 2. kevo3times (89.91 wpm)
Accuracy 97.1%
Points 251.08
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 Caclculus is a tool that helps uns understoand a hhow a change in one quantity is related to a acchange in another. How does the speed of a falling object change as a function of time? How does the level of water in a bareelrel change as a function of the amoutn of nt of liquid poured into it? We see changed occe occurinring in nearly everything we obeserve in the world and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of vaaverage and instantaneous rate sof s of change, and show that they are closely relted ated to the slope of a cucurve at a point P on the curve. We give precise dedvelopments of these importancet concepts in the next chapter, but for neoow we use an informatl al approach so you will see how they lead natualrally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout caclculus.
Timing
Character C a c -c l c u l u s i s a t o o l t h a t
Milliseconds 730 143 264 499 202 123 266 80 78 110 93 173 141 95 62 47 157 62 129 134 124 79 77 15 76
Character h e l p s u n -n s u n d e r s t o -o a n d
Milliseconds 63 98 106 107 125 108 64 61 173 265 110 112 221 127 46 141 34 139 127 387 267 95 78 109 79
Character a h -h - -a h o w a c h a n g e i n o n e
Milliseconds 80 48 109 173 126 125 185 61 77 80 62 109 138 63 107 31 142 139 46 62 64 108 202 109 111
Character q u a n t i t y i s r e l a t e d t o a
Milliseconds 94 111 77 158 142 237 0 658 204 188 177 91 90 126 93 65 122 16 189 158 110 98 28 78 189
Character a c -c -a c h a n g e i n a n o t h e r . H
Milliseconds 124 140 234 158 154 139 109 32 109 63 140 76 95 93 95 79 96 62 64 77 65 78 63 141 169
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 155 79 140 109 94 95 126 107 78 61 47 78 78 77 78 157 184 79 47 93 46 77 62 110 109
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 124 126 420 144 120 62 146 181 77 110 171 125 79 123 95 64 77 61 124 62 203 172 110 61 65
Character f u n c t i o n o f t i m e ? H o w d o e
Milliseconds 123 47 155 61 156 46 77 78 92 63 94 63 156 47 62 108 361 138 311 172 61 140 63 93 80
Character s t h e l e v e l o f w a t e r i n a
Milliseconds 139 78 66 87 46 93 66 12 202 140 80 155 61 78 78 77 141 91 109 95 0 139 95 143 78
Character b a r e e l -l -e -e r e l c h a n g e a s a
Milliseconds 78 110 142 108 173 139 77 264 140 124 113 327 124 140 249 78 61 62 48 141 93 110 202 111 79
Character f u n c t i o n o f t h e a m o u t n o
Milliseconds 62 186 47 140 93 110 47 77 77 96 48 63 79 78 64 29 96 79 78 81 94 160 0 108 46
Character f - -f -o - -n -t n t o f l i q u i d p o u r
Milliseconds 94 62 204 108 138 125 142 97 189 15 170 839 111 63 77 81 165 124 48 234 142 296 32 92 138
Character e d i n t o i t ? W e s e e c h a n g e
Milliseconds 153 171 80 80 64 123 94 127 77 108 205 155 389 142 94 140 170 126 111 95 61 94 44 95 111
Character d o c c -c -c -o - e - -e -d o c c u r i n -n -i r
Milliseconds 154 64 168 108 155 95 123 141 139 187 113 235 141 827 764 356 155 126 110 107 78 79 238 124 218
Character i n g i n n e a r l y e v e r y t h i n g
Milliseconds 93 62 125 66 88 108 124 200 79 110 48 47 62 112 252 127 109 47 48 157 62 80 80 78 92
Character w e o b e -e s e r v e i n t h e w o r l d
Milliseconds 79 111 91 62 109 156 267 108 77 48 184 158 78 44 95 94 15 76 48 123 63 78 76 80 47
Character a n d u n i v e r s e , a n d p o w e r f
Milliseconds 94 111 97 62 78 76 156 93 31 124 63 124 94 78 139 48 93 82 88 94 15 95 32 77 171
Character u l m o d e r n i n s t r u m e n t s h e l
Milliseconds 94 79 171 312 78 95 156 93 126 171 188 140 77 125 140 47 125 79 78 81 108 95 63 108 79
Character p u s s e e m o r e a n d m o r e . I
Milliseconds 93 108 174 110 109 266 123 127 153 109 47 79 94 47 95 65 61 79 94 64 95 79 111 96 157
Character n t h i s s e c t i o n w e i n t r o d u
Milliseconds 125 124 16 63 48 31 122 142 170 157 139 31 79 58 108 125 125 94 61 126 94 155 111 122 96
Character c e t h e i d e a s o f v a -a -v a v e r a
Milliseconds 93 185 125 62 62 47 62 47 64 110 107 140 110 47 62 115 291 251 30 234 690 137 127 80 213
Character g e a n d i n s t a n t a n e o u s r a t e
Milliseconds 218 125 61 94 95 46 124 171 95 61 124 94 126 127 216 159 359 81 31 109 111 141 94 157 95
Character s o f - -f -o -s - s o f c h a n g e , a n
Milliseconds 124 0 109 47 107 188 124 125 141 77 78 91 49 93 95 108 32 95 62 32 110 62 92 93 77
Character d s h o w t h a t t h e y a r e c l o s
Milliseconds 47 79 110 91 68 28 93 77 36 72 93 30 124 48 78 64 46 47 77 50 90 220 95 109 61
Character e l y r e l t e d - -d -e $a t e d t o t h e
Milliseconds 79 63 78 125 64 93 108 216 142 138 112 167 126 142 125 112 111 155 125 172 46 93 94 79 62
Character s l o p e o f a c -c u -u c u r v e a t
Milliseconds 92 47 94 141 95 76 48 92 47 96 62 124 234 415 203 468 88 141 31 172 142 138 96 250 125
Character a p o i n t P o n t h e c u r v e . W
Milliseconds 126 77 159 45 93 123 48 94 174 247 109 78 122 32 61 77 80 124 127 63 203 140 64 109 124
Character e g i v e p r e c i s e d e d -d v e l o p m
Milliseconds 109 110 201 96 62 140 93 77 94 125 143 168 63 171 124 265 188 214 432 249 138 95 127 95 189
Character e n t s o f t h e s e i m p o r t a n c e -e
Milliseconds 108 80 79 126 64 61 93 78 95 62 77 157 77 140 158 124 79 16 107 155 92 62 110 142 216
Character -c t c o n c e p t s i n t h e n e x t c
Milliseconds 141 112 93 223 63 48 95 142 79 109 109 46 78 62 126 30 32 108 77 78 94 173 328 125 278
Character h a p t e r , b u t f o r n e o -o -e o w w
Milliseconds 63 80 93 155 125 64 107 94 145 28 155 70 103 77 83 43 124 80 62 232 126 166 95 107 281
Character e u s e a n i n f o r m a t -t -a l - -l a l
Milliseconds 189 109 170 109 79 123 64 92 124 94 77 94 111 91 62 81 125 266 142 219 108 330 140 108 107
Character a p p r o a c h s o y o u w i l l s e e
Milliseconds 126 156 140 156 140 93 61 156 62 126 78 80 92 186 109 65 44 93 93 140 125 47 126 127 139
Character h o w t h e y l e a d n a t u a l -l -a r a
Milliseconds 108 189 46 107 52 106 45 81 61 44 126 45 95 111 111 170 77 140 113 123 157 172 124 156 123
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 112 94 78 77 140 32 94 109 62 78 46 93 62 143 64 111 76 170 142 110 63 79 75 80 124
Character h i s c h a p t e r , t h e l i m i t . T
Milliseconds 46 63 47 93 94 63 92 109 110 109 63 63 108 107 62 64 62 62 65 108 109 127 93 93 185
Character h e i d e a o f a l i m i t p l a y s
Milliseconds 80 77 156 108 92 139 110 127 122 125 97 62 79 174 63 95 112 109 108 110 157 79 93 126 109
Character a f o u n d a t i o n a l r o l e t h r o u
Milliseconds 61 63 188 79 46 159 93 139 114 60 32 64 203 78 200 327 235 140 95 93 76 63 93 15 62
Character g h o u t c a c -c l c u l u s .
Milliseconds 95 47 64 77 81 91 93 171 175 435 168 93 140 77 62 124 109
WPM Timing
Seconds WPM
2.23 26.91
4.46 75.34
6.69 71.75
8.92 73.99
11.15 75.34
13.38 78.93
15.61 82.26
17.84 86.1
20.07 86.7
22.3 90.95
24.53 91.48
26.76 94.17
28.99 90.66
31.22 93.79
33.45 90.41
35.68 89.13
37.91 89.27
40.14 87
42.37 82.7
44.6 82.07
46.83 84.05
49.06 85.61
51.29 87.51
53.52 88.12
55.75 89.12
57.98 90.45
60.21 91.68
62.44 89.75
64.67 89.63
66.9 88.97
69.13 91.48
71.36 90.81
73.59 91.81
75.82 90.22
78.05 90.87
80.28 91.18
82.51 90.17
84.74 90.92
86.97 91.21
89.2 91.35
91.43 90.96
93.66 89.95
95.89 90.36
98.12 91.12
100.35 91.12
102.58 92.07
104.81 92.51
107.04 93.05
109.27 93.24
111.5 92.99