bitchless not quitless (jepslol)

Race #5405

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Official speed 112.64 wpm (92.05 seconds elapsed during race)
Without ending ping 113.04 wpm (329 ms delay sending score to TypeRacer’s server)
Timerless 113.70 wpm (532 ms elapsed before first character typed; 91.18 seconds elapsed during race)
Timerless minus one 113.57 wpm, ignoring the first character typed
Race Start December 30, 2023 11:21:44pm UTC
Race Finish December 30, 2023 11:23:16pm UTC
Outcome No win (12 of 13)
Opponents 1. mth_quitless (159.03 wpm)
2. pastashapes (158.90 wpm)
3. syrupsandwich (155.91 wpm)
4. ginoo75 (152.93 wpm)
5. pokenonquit (152.27 wpm)
6. primalknight (151.15 wpm)
7. keegant (149.00 wpm)
8. hospitalforsouls2 (137.24 wpm)
9. charlieog (135.98 wpm)
10. jlachney (121.19 wpm)
11. zak389 (113.09 wpm)
Accuracy 96.9%
Points 304.12
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 a change in one quantity is serelated to a change in another. How does the speed of a falling object change as a functio of function of time? HO ow does the nlevel of water in a barrel change asa a fa s a funciton offunciton offunctio of thefunction of the amount of liquid poured into it? We see change aoooccurring in renearly everything we observe in the world and universe, and ppowerpowerpowerful modern instruments help us see more and more. In this sectino we insection we introduce the ideas of eaverage aaverage and instantenaneous rates of chnage, and change, and hshow that they are closely related to the slope of a rcurve at a point NP on tP on the curve. We give precise developments of these imprltantimportanimpoimportant co ncepts inconcepts in the next chapter, but for now ewwe use an informal approach so you will see how they lead nautranaturally to the main dea ide aof htidea of this chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character c -c C a l c u l u s i s a t o o l t h a t
Milliseconds 532 360 120 180 71 101 78 154 79 78 86 70 46 87 70 69 36 63 123 87 86 59 66 65 31
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 29 60 99 44 74 44 31 92 55 74 90 122 40 119 78 92 93 73 54 47 51 42 44 38 47
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 63 84 58 41 87 30 72 60 55 78 40 88 68 38 35 66 271 85 48 93 89 76 59 67 64
Character i s s e -e -s r e l a t e d t o a c h a n g
Milliseconds 42 81 46 201 24 373 105 29 36 111 61 42 56 106 41 87 29 72 47 111 79 25 42 32 63
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 66 28 37 81 70 0 81 56 62 76 35 61 59 43 115 110 36 80 62 72 68 72 35 75 35
Character e s p e e d o f a f a l l i n g o b j e
Milliseconds 40 42 81 60 115 67 136 28 60 67 33 97 38 343 40 55 121 40 46 41 35 100 71 64 134
Character c t c h a n g e a s a f u n c t i o o f
Milliseconds 121 125 32 117 65 27 40 31 68 83 47 90 139 88 88 41 76 144 0 126 0 35 121 119 30
Character -o -f - -f -u -n -c -t -i -o - f u n c t i o n o f t
Milliseconds 43 317 0 0 103 0 0 0 0 0 0 0 146 83 118 49 91 0 47 43 78 48 70 49 57
Character i m e ? H O - -O o w d o e s t h e n -n l
Milliseconds 43 44 42 164 36 173 159 340 198 201 157 58 35 81 56 99 63 32 59 29 47 52 80 269 181
Character e v e l o f w a t e r i n a b a r r e l
Milliseconds 64 138 58 56 56 93 36 52 129 107 61 81 39 25 56 51 73 44 82 106 101 59 114 73 66
Character c h a n g e a s a a f -f -a - a -a - -a -s -
Milliseconds 48 46 60 69 34 23 60 57 72 158 68 45 61 54 58 316 94 0 210 236 99 103 110 159 385
Character s a f u n c i t o n o f -o -f -f -u -n -c -i -t -o -n
Milliseconds 107 65 105 54 65 47 121 37 70 27 40 38 56 87 67 197 0 100 0 0 0 0 0 0 0
Character - f u n c i t o n o f -o -f -f -u -n -c -i -t -o -n - f u
Milliseconds 0 172 114 61 57 86 0 38 67 55 37 75 222 0 94 0 0 0 0 0 0 0 0 259 85
Character n c t i o o f t h e -t -h -e -o -f - -f -u -n -c -t -i -o
Milliseconds 125 35 83 25 47 112 47 67 60 36 43 33 308 0 0 94 0 0 116 0 0 0 0 0 0
Character - f u n c t i o n o f t h e a m o u n t o
Milliseconds 0 412 81 124 42 95 0 42 60 61 62 62 41 66 41 30 42 216 91 93 39 141 59 36 54
Character f l i q u i d p o u r e d i n t o i t ?
Milliseconds 94 0 47 39 153 65 44 39 48 124 153 37 66 68 121 24 40 55 103 43 50 89 56 133 49
Character W e s e e c h a n g e a o -o o -o -a o c c u r
Milliseconds 41 158 58 109 67 72 66 67 46 77 34 37 30 67 82 98 231 179 215 93 176 29 99 113 132
Character r i n g i n r e -r -e n e a r l y e v e r y t
Milliseconds 147 52 36 72 29 68 198 29 37 25 192 0 161 45 113 30 60 62 42 89 139 110 40 44 57
Character h i n g w e o b s e r v e i n t h e w o
Milliseconds 46 84 56 41 59 70 36 76 105 123 130 22 75 125 78 53 41 40 86 49 35 38 55 43 39
Character r l d a n d u n i v e r s e , a n d p p o
Milliseconds 83 37 83 31 81 37 52 47 106 104 63 66 89 77 56 67 55 58 95 49 74 80 98 232 39
Character w e r p o w e r -p -p -o -w -e -r -p -o -w -e -r p o w e r f
Milliseconds 84 63 57 283 62 0 53 37 232 0 0 0 0 0 0 0 0 0 0 182 73 77 79 0 63
Character u l m o d e r n i n s t r u m e n t s h e l
Milliseconds 39 55 65 83 89 70 78 41 67 86 100 52 71 305 0 0 71 0 116 0 257 0 0 122 60
Character p u s s e e m o r e a n d m o r e . I
Milliseconds 45 118 69 80 66 80 53 106 57 72 68 86 72 98 82 58 48 57 96 305 26 47 50 142 114
Character n t h i s s e c t i n o w e i n -i -n -w -e -
Milliseconds 79 82 66 57 52 81 100 91 55 130 55 47 47 75 61 123 68 91 217 74 208 0 57 0 0
Character -s -e -c -t -i -n -o - s e c t i o n w e i n t r o d
Milliseconds 89 0 0 0 0 0 0 0 372 59 145 111 57 53 46 62 73 49 88 101 68 57 387 75 115
Character u c e t h e i d e a s o f e a v e r a g e
Milliseconds 75 74 82 48 88 55 69 57 76 76 64 73 63 64 76 86 64 74 67 78 181 110 56 57 74
Character a -a -e -a -v -e -r -a -g -e - a v e r a g e a n d i
Milliseconds 54 216 49 78 0 0 0 0 0 0 0 0 89 288 82 51 52 94 55 48 89 82 63 66 92
Character n s t a n t e n -n -e a n e o u s r a t e s o f
Milliseconds 297 83 89 50 93 52 66 77 521 94 150 86 74 127 46 88 66 69 104 74 53 68 44 60 41
Character c h n a g e , a n d -a -n -d - -, - -c -h -n -a -g -e
Milliseconds 73 105 75 80 49 41 86 90 66 122 58 81 52 156 0 0 0 105 0 65 0 0 0 0 0
Character c h a n g e , a n d h -h s h o w t h a t t
Milliseconds 255 69 80 61 94 54 79 87 96 59 59 82 97 62 58 86 52 68 116 118 49 62 68 73 74
Character h e y a r e c l o s e l y r e l a t e d t
Milliseconds 44 200 95 61 106 75 71 58 127 54 59 78 62 55 72 65 175 51 53 65 56 62 92 70 99
Character o t h e s l o p e o f a r -r c u r v e
Milliseconds 54 172 104 98 55 65 68 50 375 62 99 68 79 52 62 65 65 86 69 53 52 56 87 69 202
Character a t a p o i n t N P o n t -t -o -n - -N -P -
Milliseconds 360 71 84 105 138 56 56 56 62 51 116 67 70 81 70 55 65 102 205 74 0 0 87 0 0
Character P o n t h e c u r v e . W e g i v e p
Milliseconds 236 74 143 62 59 68 46 62 80 80 67 60 73 68 66 79 85 147 58 86 168 56 110 52 161
Character r e c i s e d e v e l o p m e n t s o f t h
Milliseconds 96 63 114 80 68 78 66 71 89 83 111 70 72 46 84 642 255 120 50 97 137 56 80 75 40
Character e s e i m p r l t a n t -i -m -p -r -l -t -a -n -t i m p
Milliseconds 53 70 51 58 73 73 51 785 249 75 58 63 73 54 0 0 0 0 0 0 0 0 90 42 58
Character o r t a n -i -m -p -o -r -t -a -n i m p o -i -m -p -o i m p o
Milliseconds 56 64 65 78 64 83 0 0 0 0 0 0 0 95 54 45 66 396 0 0 0 68 103 63 56
Character r t a n t c o n c e p t s i n -i -n -n -c -e -p -t
Milliseconds 72 72 72 66 91 70 70 53 60 69 64 83 58 69 43 61 160 64 87 0 110 0 0 0 0
Character -s - -c -o - c o n c e p t s i n t h e n e x t
Milliseconds 0 0 59 0 0 70 83 52 74 67 49 77 53 60 90 71 87 97 53 75 53 86 49 63 70
Character c h a p t e r , b u t f o r n o w e w -e
Milliseconds 72 115 51 52 46 74 74 95 49 111 83 47 54 77 216 44 87 57 64 86 77 46 69 50 473
Character -w w e u s e a n i n f o r m a l a p p r o
Milliseconds 0 259 33 47 81 39 68 59 79 66 62 98 64 67 75 53 46 43 52 64 330 64 53 49 46
Character a c h s o y o u w i l l s e e h o w t
Milliseconds 45 47 70 55 71 46 140 162 47 73 39 75 43 99 77 43 107 60 203 43 54 42 65 85 124
Character h e y l e a d n a u t r a -n -a -u -t -r -a n a t u
Milliseconds 50 46 45 60 89 45 70 134 147 63 51 74 53 46 66 136 0 0 0 0 0 170 61 81 51
Character r a l l y t o t h e m a i n d e a -d -e -a
Milliseconds 60 60 56 98 55 65 208 76 70 54 70 104 106 65 76 39 76 56 67 69 76 57 187 0 0
Character - i d e a o f h t -t -h -a -o -f - -i -d -e - i d e a
Milliseconds 0 150 48 112 62 61 61 49 46 151 39 136 111 121 0 0 0 112 0 0 0 252 38 81 86
Character o f t h i s c h a p t e r , t h e l i m
Milliseconds 73 50 52 42 75 58 44 58 59 84 64 54 91 49 89 50 61 39 61 61 68 62 286 50 53
Character i t . T h e i d e a o f a l i m i t p
Milliseconds 55 52 40 114 63 535 257 49 56 39 56 42 53 62 59 42 117 63 58 42 42 68 43 71 49
Character l a y s a f o u n d a t i o n a l r o l e
Milliseconds 50 81 116 56 57 103 55 52 61 50 83 46 106 100 49 56 56 48 71 45 243 204 99 58 51
Character t h r o u g h o u t c a l c u l u s .
Milliseconds 85 57 56 41 70 47 48 54 64 58 115 62 51 35 51 46 46 58 90 51
WPM Timing
Seconds WPM
1.84 58.67
3.68 117.33
5.52 139.06
7.36 130.37
9.2 144.71
11.05 146.67
12.89 148.06
14.73 137.7
16.57 131.09
18.41 131.67
20.25 133.33
22.09 122.22
23.93 114.83
25.77 106.62
27.61 107.77
29.45 112.04
31.3 111.97
33.14 111.18
34.98 113.9
36.82 117.99
38.66 114.85
40.5 117.04
42.34 118.47
44.18 116.25
46.02 115.25
47.86 115.83
49.7 113.71
51.55 111.98
53.39 111.71
55.23 110.81
57.07 112.08
58.91 112.65
60.75 112.79
62.59 111.39
64.43 112.3
66.27 112.08
68.11 111.52
69.95 108.58
71.8 107.47
73.64 108.21
75.48 108.91
77.32 109.26
79.16 110.36
81 110.37
82.84 110.81
84.68 108.97
86.52 110.4
88.36 110.68
90.2 111.75
92.05 112.64