Poma Bean 🫛 (kerb_berb)

Race #16695

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Official speed 161.52 wpm (64.19 seconds elapsed during race)
Without ending ping 161.86 wpm (133 ms delay sending score to TypeRacer’s server)
Timerless 162.67 wpm (322 ms elapsed before first character typed; 63.74 seconds elapsed during race)
Timerless minus one 162.49 wpm, ignoring the first character typed
Race Start December 23, 2024 1:53:37am UTC
Race Finish December 23, 2024 1:54:42am UTC
Outcome Win (1 of 2)
Accuracy 99.1%
Points 436.11
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 Calculus is a tool that helps us understand how a change in one quantity is related to a change in another. How does ethe sthe 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 hey arthey are closely related to the slop eoe of a curve at a point p 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 youw ill you will see how they lead anaturally to the main idea of this chapter, the limit. The idea of a limit 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 322 159 167 521 168 143 107 124 42 351 90 64 64 70 75 63 111 104 63 57 74 49 44 81 106
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 70 55 89 96 57 90 85 75 76 48 49 48 98 165 43 14 89 71 63 74 31 49 66 85 34
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 93 81 64 32 112 56 15 97 41 48 86 67 82 51 235 55 111 111 146 166 99 126 119 58 56
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 78 74 39 55 89 63 82 48 73 63 34 54 152 79 95 56 76 21 97 41 24 88 37 41 88
Character n o t h e r . H o w d o e s e t h e s -e -t
Milliseconds 57 39 113 42 57 57 52 30 129 120 66 112 46 109 51 25 90 6 48 50 37 59 15 360 0
Character -h -e - -s t h e s p e e d o f a f a l l i n
Milliseconds 0 0 0 0 69 57 23 91 39 71 64 88 57 73 46 65 56 48 38 171 63 71 104 55 34
Character g o b j e c t c h a n g e a s a f u n c
Milliseconds 30 61 56 96 64 27 42 136 80 81 55 79 26 86 65 86 68 52 81 71 66 112 71 49 49
Character t i o n o f t i m e ? H o w d o e s t h
Milliseconds 110 34 15 15 56 82 77 26 71 48 41 48 144 39 147 127 22 120 74 119 30 41 75 54 38
Character e l e v e l o f w a t e r i n a b a r
Milliseconds 56 56 176 58 81 53 12 69 98 62 41 105 49 69 63 48 41 57 54 16 67 63 111 41 70
Character r e l c h a n g e a s a f u n c t i o n
Milliseconds 105 41 56 41 72 55 70 20 110 30 82 119 55 97 75 77 167 89 34 46 103 40 16 19 56
Character o f t h e a m o u n t o f l i q u i d p
Milliseconds 110 71 34 71 40 15 49 63 40 76 44 53 29 96 63 64 63 67 62 49 97 98 29 110 82
Character o u r e d i n t o i t ? W e s e e c h a
Milliseconds 30 145 55 64 56 41 40 49 70 28 55 69 43 151 36 173 110 98 133 67 78 81 57 56 63
Character n g e o c c u r r i n g i n n e a r l y e
Milliseconds 30 67 55 62 131 86 97 63 111 113 66 37 66 46 68 36 58 72 63 55 83 30 95 83 85
Character v e r y t h i n g w e o b s e r v e i n t
Milliseconds 112 59 56 37 75 48 16 62 34 104 77 48 97 105 55 56 34 56 143 57 63 64 34 65 52
Character h e w o r l d a n d u n i v e r s e , a n
Milliseconds 56 41 65 47 49 30 65 57 64 77 48 56 76 69 48 90 47 64 86 48 41 74 37 82 64
Character d p o w e r f u l m o d e r n i n s t r u m
Milliseconds 75 57 77 41 47 48 38 103 49 33 49 85 76 88 44 89 50 55 48 64 33 37 48 33 98
Character e n t s h e l p u s s e e m o r e a n d
Milliseconds 77 41 90 62 15 104 48 42 89 85 89 63 64 104 48 96 50 62 35 56 31 39 74 16 62
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 47 49 23 48 34 62 42 137 134 64 39 56 41 31 68 85 48 55 104 48 19 15 30 66 64
Character i n t r o d u c e t h e i d e a s o f a
Milliseconds 49 77 48 97 23 58 106 62 86 33 63 66 31 40 63 65 32 42 63 30 97 88 90 48 263
Character v e r a g e a n d i n s t a n t a n e o u s
Milliseconds 134 82 80 81 62 72 74 78 66 37 64 67 55 57 119 70 66 370 48 125 79 104 48 90 89
Character r a t e s o f c h a n g e , a n d s h o w
Milliseconds 103 57 111 56 33 45 59 65 47 77 76 70 49 85 41 55 41 71 74 49 70 65 54 26 56
Character t h a t h e y a r -h -e -y - -a -r t h e y a r
Milliseconds 70 82 42 36 57 25 104 30 74 62 72 74 223 0 0 0 0 0 90 55 9 111 88 135 47
Character e c l o s e l y r e l a t e d t o t h e
Milliseconds 57 48 71 59 86 34 39 64 78 82 49 48 62 82 53 81 56 47 98 30 56 46 50 34 55
Character s l o p e o -o -e - e o f a c u r v e a t
Milliseconds 48 83 100 104 130 30 104 288 113 130 124 85 101 89 48 63 35 209 61 82 118 31 89 103 57
Character a p o i n t p - -p P o n t h e c u r
Milliseconds 54 57 63 82 14 132 36 48 67 125 203 325 113 194 63 255 51 39 86 64 32 41 144 86 64
Character v e . W e g i v e p r e c i s e d e v e l
Milliseconds 129 34 53 33 137 128 89 62 98 48 37 66 64 62 42 158 106 56 41 56 117 34 127 15 67
Character o p m e n t s o f t h e s e i m p o r t a n
Milliseconds 77 16 146 66 85 41 63 64 65 39 81 57 29 32 83 37 48 64 67 47 32 33 54 16 81
Character t c o n c e p t s i n t h e n e x t c h
Milliseconds 64 70 83 55 30 66 56 71 90 48 64 69 33 65 34 62 14 75 174 82 111 65 49 125 48
Character a p t e r , b u t f o r n o w w e u s e
Milliseconds 83 85 74 70 49 33 45 67 63 78 67 106 70 56 54 91 31 93 65 114 55 64 89 56 48
Character a n i n f o r m a l a p p r o a c h s o
Milliseconds 56 70 64 49 96 49 64 70 81 90 70 390 66 142 64 96 82 78 89 41 42 37 66 37 68
Character y o u w i l l -y -o -u -w - -i -l -l - y o u w i l
Milliseconds 48 36 16 74 9 69 27 104 55 258 0 0 0 0 0 0 0 0 299 28 22 58 23 78 13
Character l s e e h o w t h e y l e a d a -a n a t
Milliseconds 110 55 15 48 83 37 49 34 61 56 64 40 27 70 63 112 74 30 89 82 173 279 138 48 57
Character u r a l l y t o t h e m a i n i d e a o
Milliseconds 48 72 21 48 90 63 89 41 94 32 57 96 22 89 95 99 65 48 40 78 54 30 35 67 54
Character f t h i s c h a p t e r , t h e l i m i t
Milliseconds 104 64 71 25 57 30 89 63 75 84 49 216 96 40 49 49 70 48 33 49 31 70 74 89 86
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 73 64 119 56 55 98 70 66 39 40 40 89 57 48 48 55 86 35 70 81 97 71 33 50 55
Character y s a f o u n d a t i o n a l r o l e t h
Milliseconds 105 76 57 70 33 90 57 20 34 64 63 88 90 9 20 64 75 56 110 57 88 64 70 56 49
Character r o u g h o u t c a l c u l u s .
Milliseconds 63 60 16 39 113 110 56 79 67 85 40 55 90 70 75 120 61 49
WPM Timing
Seconds WPM
1.28 37.39
2.57 74.78
3.85 102.82
5.14 121.51
6.42 127.12
7.7 129.3
8.99 136.2
10.27 136.7
11.55 137.09
12.84 141.14
14.12 146.16
15.41 148
16.69 150.99
17.97 152.23
19.26 155.79
20.54 156.57
21.82 156.15
23.11 157.34
24.39 158.9
25.68 160.77
26.96 162.02
28.24 164.43
29.53 164.59
30.81 166.69
32.1 168.62
33.38 167.89
34.66 166.52
35.95 166.58
37.23 167.28
38.51 165.13
39.8 166.44
41.08 162.7
42.37 162.3
43.65 159.45
44.93 158.9
46.22 159.16
47.5 159.91
48.78 161.36
50.07 161.54
51.35 161.71
52.64 160.73
53.92 159.35
55.2 159.99
56.49 158.69
57.77 159.32
59.05 159.72
60.34 160.29
61.62 160.85
62.91 161.57
64.19 161.52