pasta (pastashapes)

Race #101408

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Official speed 158.90 wpm (65.25 seconds elapsed during race)
Without ending ping 159.25 wpm (145 ms delay sending score to TypeRacer’s server)
Timerless 160.16 wpm (367 ms elapsed before first character typed; 64.74 seconds elapsed during race)
Timerless minus one 159.97 wpm, ignoring the first character typed
Race Start December 30, 2023 11:21:44pm UTC
Race Finish December 30, 2023 11:22:49pm UTC
Outcome No win (2 of 13)
Opponents 1. mth_quitless (159.03 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)
12. jepslol (112.64 wpm)
Accuracy 98.4%
Points 429.03
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 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 helkp up uis ss see more and more. In this section we introduce is the ideas of average and instanataneous rates of change, and show that they are closely related to the slope of a curve at a poinbtr t P on the curve. We give porerecise developments of these imoprtant mportant 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 throuighouighout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 367 177 96 73 93 458 70 90 81 77 89 73 62 73 103 49 128 120 72 50 65 62 30 26 38
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 89 66 24 95 33 64 103 48 47 24 57 96 55 105 31 88 121 54 75 40 22 49 70 49 90
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 61 80 24 105 51 21 50 48 46 65 130 20 64 58 94 75 85 86 75 64 82 88 45 106 63
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 71 66 22 68 44 66 22 128 59 89 44 32 74 82 60 65 15 104 57 23 50 66 52 24 18
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 119 23 48 96 25 34 86 47 112 120 89 66 93 41 79 28 32 79 61 73 57 95 39 96 113
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 26 49 37 79 35 221 121 112 27 72 108 130 22 68 40 31 85 75 61 28 120 52 105 56 39
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 99 49 21 71 88 26 56 79 72 69 82 19 49 119 22 24 24 24 120 48 79 58 62 25 55
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 139 62 112 137 71 72 80 48 72 26 47 73 45 75 40 53 41 40 89 50 40 101 39 72 49
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 24 104 104 26 41 45 47 50 70 67 80 46 136 112 48 48 63 49 71 27 111 49 13 83 74
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 36 48 88 143 115 62 15 84 110 13 17 12 39 101 72 48 74 55 63 50 78 65 24 131 39
Character t o f l i q u i d p o u r e d i n t o i
Milliseconds 62 48 24 79 67 21 121 88 81 22 72 75 85 26 62 89 72 97 49 45 18 70 58 46 89
Character t ? W e s e e c h a n g e o c c u r r i n
Milliseconds 48 193 57 102 167 89 90 110 104 48 138 80 61 73 56 24 48 40 72 111 96 90 110 80 24
Character g i n n e a r l y e v e r y t h i n g w e
Milliseconds 57 59 55 40 46 149 43 40 17 80 81 61 68 46 118 28 49 84 76 70 54 35 85 72 24
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 51 39 111 138 14 32 136 23 67 125 25 50 141 48 64 49 63 55 81 59 80 71 53 66 70
Character u n i v e r s e , a n d p o w e r f u l m
Milliseconds 41 59 23 110 79 121 48 112 41 48 48 40 87 48 78 164 32 72 23 17 101 33 120 67 180
Character o d e r n i n s t r u m e n t s h e l k p u
Milliseconds 50 90 125 24 56 41 274 39 55 25 121 31 129 55 78 67 31 40 89 181 64 16 11 69 120
Character -u - -p -k p u i s s -i -s - -s s s e e m o r e
Milliseconds 210 102 120 129 138 77 114 11 51 68 70 415 0 0 0 71 80 81 144 95 80 35 13 32 25
Character a n d m o r e . I n t h i s s e c t i o
Milliseconds 72 31 80 66 47 31 23 41 24 74 40 93 139 40 110 51 23 87 50 93 26 112 118 40 12
Character n w e i n t r o d u c e i s t -i -s - h e
Milliseconds 28 56 97 22 57 128 40 81 31 89 119 81 71 24 47 58 23 112 80 568 0 0 200 138 62
Character i d e a s o f a v e r a g e a n d i n s t
Milliseconds 59 54 34 23 119 89 31 40 90 250 91 120 33 47 99 40 39 80 71 71 39 60 39 102 50
Character a n a -a t a n e o u s r a t e s o f c h a n
Milliseconds 102 98 102 427 141 59 119 73 93 27 79 62 68 44 97 70 33 32 39 80 66 89 72 63 96
Character g e , a n d s h o w t h a t t h e y a r
Milliseconds 81 23 40 31 48 76 62 79 95 47 28 80 45 75 63 47 31 39 90 50 81 53 39 33 39
Character e c l o s e l y r e l a t e d t o t h e
Milliseconds 27 48 80 45 48 72 26 49 93 58 70 40 24 67 69 25 128 67 79 32 44 57 72 47 50
Character s l o p e o f a c u r v e a t a p o i
Milliseconds 89 55 159 352 120 48 48 89 50 71 70 99 53 72 154 23 58 80 30 63 67 71 129 12 20
Character n b t r - -r -t -b t P o n t h e c u r v e
Milliseconds 61 14 15 11 71 237 110 144 145 214 88 175 160 120 48 12 95 53 67 31 109 65 74 161 31
Character . W e g i v e p o r e -e -r -o r e c i s e d
Milliseconds 88 46 115 125 92 76 73 71 42 33 38 12 60 22 353 114 121 85 25 130 93 88 24 25 143
Character e v e l o p m e n t s o f t h e s e i m o p
Milliseconds 32 136 25 24 23 40 168 72 79 68 31 22 58 54 71 50 65 22 103 49 66 55 48 119 11
Character r t a n t -m -o -p -r -t -a -n -t - m p o r t a n t c
Milliseconds 53 47 58 89 80 50 231 0 0 0 0 0 0 0 0 21 112 13 36 49 49 94 99 57 100
Character o n c e p t s i n t h e n e x t c h a p t
Milliseconds 50 20 81 40 32 112 35 70 71 40 40 59 60 64 32 48 57 169 144 48 98 62 58 85 88
Character e r , b u t f o r n o w w e u s e a n
Milliseconds 144 27 57 52 112 48 99 71 94 48 80 31 40 26 62 72 76 21 41 89 80 30 33 97 30
Character i n f o r m a l a p p r o a c h s o y o u
Milliseconds 50 120 13 86 44 97 50 92 65 47 120 72 123 93 49 95 48 48 59 125 74 80 71 50 40
Character w i l l s e e h o w t h e y l e a d n
Milliseconds 48 22 71 120 123 56 21 144 115 45 36 39 45 57 62 40 66 49 40 112 50 20 23 57 31
Character a t u r a l l y t o t h e m a i n i d e a
Milliseconds 73 66 31 89 31 22 137 72 64 73 50 72 48 65 59 27 62 89 89 31 30 131 79 31 19
Character o f t h i s c h a p t e r , t h e l i m
Milliseconds 53 39 72 75 80 53 27 71 31 104 65 32 119 64 128 27 31 58 44 59 61 23 49 120 34
Character i t . T h e i d e a o f a l i m i t p
Milliseconds 126 80 88 60 22 79 48 79 50 62 27 41 31 39 81 63 61 48 16 132 21 120 89 40 55
Character l a y s a f o u n d a t i o n a l r o l e
Milliseconds 17 49 129 70 62 68 70 71 24 40 124 45 119 49 40 14 16 99 49 44 81 80 192 137 39
Character t h r o u i g h o u i -i -u -o -h -g -i g h o u t c a
Milliseconds 88 32 80 29 51 12 47 62 111 40 12 268 122 118 136 121 120 120 41 109 26 95 51 93 26
Character l c u l u s .
Milliseconds 50 101 59 140 90 119 24
WPM Timing
Seconds WPM
1.3 55.17
2.61 110.35
3.91 134.87
5.22 151.73
6.52 154.49
7.83 165.52
9.13 166.83
10.44 164.37
11.74 166.54
13.05 168.28
14.35 172.21
15.66 173.95
16.96 174.72
18.27 175.37
19.57 173.49
20.88 172.99
22.18 174.18
23.49 174.21
24.79 174.72
26.1 173.34
27.4 172.53
28.71 166.77
30.01 164.32
31.32 165.14
32.62 165.52
33.93 161.98
35.23 161.77
36.54 158.95
37.84 160.13
39.15 161.84
40.45 163.44
41.76 162.07
43.06 160.78
44.37 158.76
45.67 158.69
46.98 156.58
48.28 157.57
49.59 155.6
50.89 156.33
52.2 156.56
53.5 157.67
54.81 157.86
56.11 158.68
57.42 159.67
58.72 160.21
60.03 161.32
61.33 161.8
62.64 162.07
63.94 159.33
65.25 158.9