✨MTH Insane Typer✨ (joshbigpoo)

Race #2620

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Official speed 156.96 wpm (66.06 seconds elapsed during race)
Without ending ping 157.46 wpm (208 ms delay sending score to TypeRacer’s server)
Timerless 157.87 wpm (171 ms elapsed before first character typed; 65.68 seconds elapsed during race)
Timerless minus one 157.68 wpm, ignoring the first character typed
Race Start January 25, 2024 4:00:43am UTC
Race Finish January 25, 2024 4:01:49am UTC
Outcome Win (1 of 2)
Opponents 2. fenno4 (154.29 wpm)
Accuracy 97.0%
Points 423.81
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 barrle chbarrel change as a function of the amount of liquid poure dintopoured into it? We see change occurring in eary nearly everything we observe ni the wn the world and universe, and powerful modern instruments help us see more and more. In this section we inintrointroduce the ideas of average nad insand instantaneous rates of change, and show that tehy are they are clseosely related to the sloeppe of a curve at pa ponit Ppoint P on the curve. W e give precise deveopml0popments of these instruiportantimportant concepts in the next chapter, but for now we use an informal approach so you wll seawilwill see how they lead naturall yto alturally to the main idea of this chapter, the limit. The idea of a limmit pllimit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 171 101 52 80 98 55 132 63 38 78 33 71 58 50 71 22 83 83 43 46 72 29 26 34 83
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 46 86 83 31 46 84 20 49 48 101 24 80 36 47 110 0 73 31 72 44 50 35 66 66 82
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 36 58 61 66 104 28 81 151 53 72 84 69 43 43 219 87 68 69 76 70 85 68 57 52 32
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 64 71 0 34 67 18 36 56 40 67 33 72 31 93 45 44 65 67 64 33 49 68 29 36 75
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 37 58 81 44 58 47 54 23 131 61 25 38 57 65 63 33 57 46 68 28 60 59 89 72 94
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 49 41 60 57 55 37 75 36 59 25 92 102 43 31 50 47 36 82 48 51 162 56 99 49 39
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 59 60 25 46 53 29 71 74 73 20 73 103 36 342 280 48 137 30 53 30 60 59 27 39 46
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 116 84 116 53 35 64 49 32 74 47 36 51 31 76 25 27 56 59 65 21 54 83 46 68 83
Character a t e r i n a b a r r l e c h -b -a -r -r -l -e
Milliseconds 33 61 51 49 24 71 41 61 42 70 60 35 52 89 90 23 83 60 53 265 0 0 0 0 0
Character - -c -h b a r r e l c h a n g e a s a f u n
Milliseconds 0 0 0 130 55 36 80 91 22 134 84 79 66 31 58 40 48 48 53 47 56 70 25 53 98
Character c t i o n o f t h e a m o u n t o f l i
Milliseconds 62 121 20 44 100 21 77 35 54 47 31 35 38 181 79 58 62 102 42 54 46 69 60 26 80
Character q u i d p o u r e d i n t o -p -o -u -r -e - -d -i -n
Milliseconds 66 84 34 86 48 62 99 89 48 36 69 24 49 27 120 22 260 0 0 0 0 0 0 0 0
Character -t -o p o u r e d i n t o i t ? W e s e e
Milliseconds 0 0 507 177 161 56 44 75 24 39 43 66 59 70 62 50 148 48 67 103 66 44 62 100 42
Character c h a n g e o c c u r r i n g i n e a r y
Milliseconds 84 51 47 76 90 22 63 66 68 101 75 68 99 63 40 52 43 34 91 30 141 28 31 153 28
Character -e -a -r -y - n e a r l y e v e r y t h i n g w e
Milliseconds 218 0 0 0 0 98 49 48 23 20 75 25 45 49 96 47 68 40 60 25 45 51 59 56 38
Character o b s e r v e n i t h e w -w -n - -t -h -e - n
Milliseconds 64 30 67 84 23 43 96 46 48 69 19 50 63 45 57 30 18 201 127 0 0 0 0 0 41
Character t h e w o r l d a n d u n i v e r s e ,
Milliseconds 80 32 50 43 55 22 40 67 51 51 35 35 46 37 51 59 92 43 21 71 60 73 26 71 51
Character a n d p o w e r f u l m o d e r n i n s t r
Milliseconds 35 59 38 62 51 63 11 24 43 56 90 76 51 152 42 55 77 48 45 58 30 72 42 37 54
Character u m e n t s h e l p u s s e e m o r e a
Milliseconds 26 113 26 106 22 55 63 46 70 65 108 40 62 38 52 80 32 90 57 40 63 43 33 48 30
Character n d m o r e . I n t h i s s e c t i o n
Milliseconds 20 62 50 20 43 77 20 74 73 89 73 81 52 47 20 50 49 60 44 80 141 87 73 71 55
Character w e i n -n i n t r o -i -i -n -t -r -o i n t r o d u c
Milliseconds 50 38 62 57 48 303 281 49 57 58 60 207 0 0 0 0 0 101 29 57 46 31 103 33 94
Character e t h e i d e a s o f a v e r a g e n a
Milliseconds 35 68 64 38 34 58 29 63 83 34 30 37 51 67 41 22 195 69 52 62 66 39 47 26 29
Character d i n s -n -a -d - -i -n -s a n d i n s t a n t a n
Milliseconds 83 41 86 46 41 181 0 0 0 0 0 0 111 72 23 51 58 36 20 51 28 116 97 57 314
Character e o u s r a t e s o f c h a n g e , a n d
Milliseconds 89 48 53 23 67 50 40 80 24 62 32 63 36 69 78 63 51 62 25 71 60 26 48 75 16
Character s h o w t h a t t e h y a r e -t -e -h -y -
Milliseconds 53 32 67 41 29 65 34 58 9 37 64 36 61 22 86 24 41 31 26 54 233 0 0 0 0
Character -a -r -e - t h e y a r e c l s e -e -s o s e l y
Milliseconds 0 0 0 0 119 39 43 42 54 37 40 27 63 42 26 115 19 272 134 150 50 33 65 95 30
Character r e l a t e d t o t h e s l o e p -p -e p e
Milliseconds 44 25 55 32 63 18 53 50 53 33 76 23 34 51 62 46 26 97 84 140 219 97 148 30 56
Character o f a c u r v e a t p -p a p o n i t P
Milliseconds 55 21 71 45 93 9 91 72 114 49 54 44 60 54 322 286 48 60 43 102 114 24 25 52 149
Character -P -p -o -n -i -t - p o i n t P o n t h e c u r
Milliseconds 196 98 0 0 0 0 0 151 114 145 52 51 28 122 105 65 63 45 40 51 26 62 65 37 91
Character v e . W - e g i v e p r e c i s e d e v
Milliseconds 131 40 40 75 49 157 289 74 54 49 58 67 35 65 48 64 10 134 53 45 36 55 90 107 83
Character e o p m -m -p -o l 0 p -p -0 o p m e n t s o f t h
Milliseconds 45 97 85 162 187 109 143 141 102 55 314 107 141 58 130 61 71 40 72 37 26 41 75 42 35
Character e s e i n s t r u -i -n -s -t -r -u i p o r t a n t -i
Milliseconds 17 51 87 61 42 26 65 31 67 24 192 0 0 0 0 0 131 189 66 39 51 49 60 49 181
Character -p -o -r -t -a -n -t i m p o r t a n t c o n c e p t s
Milliseconds 0 0 0 0 0 0 0 107 62 87 69 26 58 26 68 57 71 85 20 33 62 58 166 91 46
Character i n t h e n e x t c h a p t e r , b u t
Milliseconds 52 55 51 54 23 58 18 69 35 24 115 142 53 94 20 92 44 83 19 54 41 53 55 28 93
Character f o r n o w w e u s e a n i n f o r m
Milliseconds 40 62 39 79 54 34 44 22 73 41 34 64 319 47 40 46 54 27 80 37 47 49 81 52 38
Character a l a p p r o a c h s o y o u w l l s e
Milliseconds 94 64 67 56 81 98 59 90 59 57 60 70 42 35 85 44 61 28 75 40 72 110 53 52 29
Character a -a w i l -w -l -l - -s -e -w -i -l w i l l s e e h o
Milliseconds 196 23 148 33 76 189 0 0 0 0 0 0 0 0 87 54 67 86 49 29 58 74 44 64 58
Character w t h e y l e a d n a t u r a l l y t o
Milliseconds 16 68 63 35 59 28 65 44 35 30 42 46 50 44 55 62 44 23 64 84 112 31 60 51 108
Character -y -t -o - -a -t -u -r -a -l -l - a l -l t u r a l l y t o
Milliseconds 203 0 0 0 173 0 0 0 0 0 0 0 92 62 238 227 28 66 14 50 85 119 19 56 43
Character t h e m a i n i d e a o f t h i s c h
Milliseconds 63 41 25 52 60 24 65 35 49 47 59 26 91 41 33 35 61 33 55 22 71 29 58 42 73
Character a p t e r , t h e l i m i t . T h e i d e
Milliseconds 74 60 79 60 24 30 71 48 19 45 55 41 101 67 99 83 66 43 73 53 22 64 29 37 104
Character a o f a l i m m i t p l -l -i -m -m -i -t - -p -l
Milliseconds 18 58 39 49 59 43 74 25 120 19 56 33 98 39 51 67 164 0 0 0 0 0 0 0 0
Character l i m i t p l a y s a f o u n d a t i o n a
Milliseconds 157 98 64 110 53 56 42 57 41 70 34 56 28 65 23 37 28 90 23 49 33 42 40 95 142
Character l r o l e t h r o u g h o u t c a l c u l u
Milliseconds 84 57 66 71 54 52 50 52 45 39 11 57 77 26 67 53 7 39 75 37 57 90 90 38 146
Character s .
Milliseconds 88 69
WPM Timing
Seconds WPM
1.32 154.42
2.64 190.75
3.96 187.72
5.28 188.48
6.61 196.2
7.93 198.32
9.25 198.54
10.57 188.48
11.89 192.77
13.21 190.75
14.53 181.67
15.85 185.45
17.17 183.06
18.5 170.64
19.82 170.16
21.14 171.45
22.46 168.84
23.78 169.05
25.1 169.72
26.42 172.13
27.74 173.88
29.06 176.71
30.39 173.37
31.71 171.07
33.03 170.77
34.35 168.74
35.67 171.24
36.99 169.66
38.31 168.51
39.63 167.74
40.95 167.31
42.28 162.65
43.6 162.67
44.92 162.16
46.24 159.61
47.56 157.44
48.88 155.4
50.2 154.89
51.52 155.81
52.84 156.69
54.17 157.74
55.49 155.71
56.81 156.95
58.13 153.8
59.45 154.01
60.77 156
62.09 156.93
63.41 155.36
64.73 156.46
66.06 156.96