zetria (primalknight)

Race #24433

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Official speed 151.15 wpm (68.59 seconds elapsed during race)
Without ending ping 151.58 wpm (193 ms delay sending score to TypeRacer’s server)
Timerless 151.84 wpm (120 ms elapsed before first character typed; 68.28 seconds elapsed during race)
Timerless minus one 151.67 wpm, ignoring the first character typed
Race Start December 30, 2023 11:21:44pm UTC
Race Finish December 30, 2023 11:22:52pm UTC
Outcome No win (6 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)
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 97.9%
Points 408.11
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 CAlcualculus is a tool that helps us undertsand stand how a change is one n one quantity is related to a change in another. How does the speed of a falling object change as a functino ofon of time? How does the level of water in a barrel change as a function of the amount of liquid poured oininto it? We see change occurring in nearly evertyything we observe in the world and universe, and powerful modern instrumentsh e help us see more and more. In this section we introduce the ideas of average and instanteaneous rates of change, and show that the yy are closely related otto the slo;e pe of a curve at a point P on the curver. W. We give precise developments of these important concepets 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 ofa al imit a limit plays a foundational role throughout calculus.
Timing
Character C A l c u -u -c -l -A a l c u l u s i s a t o o
Milliseconds 120 96 120 48 118 167 119 118 119 74 92 74 93 96 190 119 47 74 93 25 97 70 22 75 118
Character l t h a t h e l p s u s u n d e r t s a n
Milliseconds 119 72 47 25 46 50 0 70 94 25 96 72 47 96 48 46 48 25 71 143 24 120 0 47 47
Character d - -d -n -a -s -t s t a n d h o w a c h a n g
Milliseconds 72 71 144 95 143 119 119 119 23 49 46 49 72 71 71 48 72 48 72 71 95 48 95 50 22
Character e i s o n e - -s - -o -n -e n o n e q u a n
Milliseconds 73 46 72 72 47 23 48 72 25 213 477 0 0 0 0 48 191 72 23 96 23 120 71 96 47
Character t i t y i s r e l a t e d t o a c h a n
Milliseconds 144 24 95 47 72 48 72 72 22 48 25 95 71 143 25 24 96 0 94 95 48 96 22 96 23
Character g e i n a n o t h e r . H o w d o e s t
Milliseconds 74 48 48 21 24 98 47 24 71 98 0 94 47 49 71 71 120 72 48 96 47 120 0 24 73
Character h e s p e e d o f a f a l l i n g o b j
Milliseconds 0 94 48 94 73 71 143 47 24 96 48 47 71 72 119 71 26 117 48 24 47 26 71 71 48
Character e c t c h a n g e a s a f u n c t i n o
Milliseconds 72 118 96 47 96 48 71 48 22 97 95 72 48 72 95 71 48 72 22 72 96 48 22 24 74
Character o f -f -o - -o -n o n o f t i m e ? H o w d o
Milliseconds 118 95 120 119 120 118 119 143 23 49 94 72 48 95 22 50 47 143 48 120 95 48 48 97 47
Character e s t h e l e v e l o f w a t e r i n
Milliseconds 95 23 25 48 26 69 48 48 72 118 48 47 49 94 23 50 95 47 48 119 23 25 72 23 72
Character a b a r r e l c h a n g e a s a f u n c
Milliseconds 71 72 48 95 48 119 167 119 96 94 48 71 28 68 23 72 97 24 72 93 72 71 50 47 48
Character t i o n o f t h e a m o u n t o f l i q
Milliseconds 94 47 25 22 51 95 46 72 48 23 73 46 74 21 72 73 22 74 23 48 72 47 48 47 97
Character u i d p o u r e d o i n -n -i -o i n t o i t ?
Milliseconds 47 47 48 49 71 143 48 23 96 95 23 73 143 48 167 119 119 190 24 48 94 72 48 72 71
Character W e s e e c h a n g e o c c u r r i n g
Milliseconds 95 120 96 71 72 72 119 48 95 48 97 0 69 24 48 48 72 119 95 72 95 71 48 71 48
Character i n n e a r l y e v e r t y -y -t y t h i n g
Milliseconds 48 53 43 70 97 47 23 24 48 49 70 144 119 23 239 95 214 96 166 48 72 72 47 47 29
Character w e o b s e r v e i n t h e w o r l d a
Milliseconds 68 47 47 72 95 96 47 48 143 72 71 49 46 50 21 49 47 50 93 49 72 72 47 71 49
Character n d u n i v e r s e , a n d p o w e r f u l
Milliseconds 0 72 71 47 48 72 70 96 71 73 46 96 72 25 71 48 47 95 25 47 23 24 143 25 22
Character m o d e r n i n s t r u m e n t s h e -e - -h
Milliseconds 74 71 47 25 143 24 0 120 47 49 47 71 24 49 94 97 70 73 47 96 0 309 119 119 94
Character h e l p u s s e e m o r e a n d m o r
Milliseconds 97 72 70 48 48 71 48 72 72 95 47 119 72 49 47 71 23 48 26 0 117 48 23 49 71
Character e . I n t h i s s e c t i o n w e i n t
Milliseconds 24 48 71 72 120 96 48 48 24 49 47 95 71 119 121 46 50 0 95 94 72 71 72 22 73
Character r o d u c e t h e i d e a s o f a v e r a
Milliseconds 47 74 94 72 71 95 72 48 23 48 73 22 49 49 45 96 48 47 73 47 71 120 119 47 119
Character g e a n d i n s t a n t e -e a n e o u s r a
Milliseconds 23 96 48 49 0 94 73 47 23 72 48 71 49 71 95 310 119 73 118 118 49 48 70 71 74
Character t e s o f c h a n g e , a n d s h o w t
Milliseconds 71 47 50 93 121 94 25 166 23 122 0 69 49 71 47 48 48 71 48 72 72 47 48 47 48
Character h a t t h e y -y - y a r e c l o s e l y
Milliseconds 23 49 71 25 71 23 24 119 72 262 97 165 48 47 73 46 48 95 48 119 24 48 73 46 24
Character r e l a t e d o t -t -o t o t h e s l o ; e
Milliseconds 72 22 49 96 71 119 24 73 144 190 189 98 116 48 97 21 50 47 71 47 50 117 25 22 49
Character - -e -; p e o f a c u r v e a t a p o i
Milliseconds 238 96 119 167 47 48 48 71 47 50 69 96 73 95 70 120 143 96 120 21 98 46 120 47 49
Character n t P o n t h e c u r v e r . W -W - -. -r
Milliseconds 0 69 50 95 142 97 24 73 46 49 21 51 118 72 71 96 72 0 22 71 97 167 119 119 119
Character . W e g i v e p r e c i s e d e v e l o p
Milliseconds 167 47 72 119 48 72 71 73 70 25 22 72 48 119 71 144 95 71 96 48 119 71 48 119 48
Character m e n t s o f t h e s e i m p o r t a n t
Milliseconds 72 71 71 72 47 24 49 95 48 72 0 71 47 95 23 73 24 47 48 97 46 73 0 95 22
Character c o n c e p e -e t s i n t h e n e x t c h
Milliseconds 144 48 23 73 285 119 96 285 95 73 94 24 48 72 48 0 70 48 48 47 122 93 24 96 48
Character a p t e r , b u t f o r n o w w e u s e
Milliseconds 48 94 74 93 48 47 48 71 49 95 49 118 95 96 72 95 48 48 70 95 73 71 71 51 22
Character a n i n f o r m a l a p p r o a c h s o
Milliseconds 71 48 48 70 97 47 24 94 49 94 25 120 95 47 96 95 96 71 72 71 72 72 46 49 95
Character y o u w i l l s e e h o w t h e y l e a
Milliseconds 47 48 30 94 45 46 48 71 48 71 73 166 47 72 24 48 71 49 0 70 23 72 72 47 71
Character d n a t u r a l l y t o t h e m a i n i
Milliseconds 73 71 48 72 71 48 72 23 48 96 71 47 48 49 71 23 49 47 49 48 70 71 24 48 95
Character d e a o f t h i s c h a p t e r , t h e
Milliseconds 48 48 71 26 94 95 48 71 25 47 48 23 120 47 73 94 73 120 0 48 93 23 50 71 47
Character l i m i t . T h e i d e a o f a - -a a l
Milliseconds 49 70 24 120 71 96 71 24 71 25 71 71 48 48 48 72 119 95 71 72 334 118 72 73 95
Character i m i t - a -a -l - -i -m -i -t l i m i t p l a
Milliseconds 0 70 49 119 72 46 120 288 358 406 0 0 0 0 0 144 119 71 72 95 119 23 48 143 48
Character y s a f o u n d a t i o n a l r o l e t h
Milliseconds 72 72 23 72 95 48 48 47 48 47 72 334 24 22 26 71 70 73 142 49 95 48 48 47 23
Character r o u g h o u t c a l c u l u s .
Milliseconds 96 0 48 119 23 74 47 47 48 143 48 48 119 72 190 190 95 74
WPM Timing
Seconds WPM
1.37 43.74
2.74 104.97
4.12 110.8
5.49 109.34
6.86 101.47
8.23 109.34
9.6 122.46
10.98 132.3
12.35 138.01
13.72 141.7
15.09 133.59
16.46 138.5
17.83 142.65
19.21 143.7
20.58 149.28
21.95 147.06
23.32 145.61
24.69 148.21
26.07 145.48
27.44 147.39
28.81 149.53
30.18 152.68
31.55 149.46
32.93 152.35
34.3 152.9
35.67 154.76
37.04 155.83
38.41 154.32
39.78 155.94
41.16 154.53
42.53 153.5
43.9 151.43
45.27 151.35
46.64 152.3
48.02 149.95
49.39 150.16
50.76 152.01
52.13 150.31
53.5 151.39
54.88 151.98
56.25 152.33
57.62 153.49
58.99 154.8
60.36 155.66
61.73 156.67
63.11 154.22
64.48 151.12
65.85 151.62
67.22 151.91
68.59 151.15