ArkoSammy12 (arkosammy_1208)

Race #17348

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Official speed 126.69 wpm (81.84 seconds elapsed during race)
Without ending ping 126.94 wpm (160 ms delay sending score to TypeRacer’s server)
Timerless 128.11 wpm (747 ms elapsed before first character typed; 80.93 seconds elapsed during race)
Timerless minus one 127.96 wpm, ignoring the first character typed
Race Start March 31, 2024 9:46:52pm UTC
Race Finish March 31, 2024 9:48:14pm UTC
Outcome No win (2 of 5)
Opponents 3. doublestab (111.77 wpm)
4. montedeu (105.91 wpm)
5. xyxyxyx (97.47 wpm)
Accuracy 97.2%
Points 342.07
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 undertanstand how a change in one quantity is related to a change in another. How does itthe speed of a falling object change ias a function of time? how How does the level of water in a bartrrrel change as a function of the amount of luiqiquid oppoured into it? we seWe see hcnage change occuring in ring in nearly everything we observe i thein the world and universe, and powerful modern instruments hlpe help us see more and more. In this section we introduced the the ideas of average and instanteaneous rates of change, and show that they are closely related to the slop oee of a curve at a point P on the curve. We give preceiise developments of these important eoncconcepts in the next dfhachapaterchapter, but for now ewwe use an informal approach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of al im 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 747 79 108 140 499 156 109 77 31 30 109 32 154 32 79 78 109 155 94 106 31 92 46 47 63
Character e l p s u s u n d e r t a n -n -a -t s t a n d
Milliseconds 62 46 33 107 15 110 78 78 45 109 46 110 17 154 108 93 201 109 123 78 47 64 90 78 47
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 63 31 30 75 138 61 108 33 61 32 46 77 47 46 47 79 78 62 78 47 169 76 109 47 156
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 16 124 78 63 47 123 16 108 47 45 141 16 79 137 32 77 78 61 47 110 77 77 61 48 31
Character e i n a n o t h e r . H o w d o e s i t
Milliseconds 93 47 31 61 63 61 47 61 79 47 63 61 78 16 201 64 154 77 107 47 77 93 0 47 92
Character -i -t t h e s p e e d o f a f a l l i n g
Milliseconds 200 0 171 45 62 95 46 107 79 110 392 109 373 78 78 77 92 92 94 46 95 93 63 61 31
Character o b j e c t c h a n g e i -i a s a f u n c
Milliseconds 78 124 62 78 109 77 46 127 47 94 15 64 61 47 15 278 47 77 31 124 77 62 61 93 63
Character t i o n o f t i m e ? h o w -h -o -w - H o w
Milliseconds 109 48 13 78 15 93 453 78 77 63 60 61 218 106 189 78 93 121 184 0 0 0 203 79 108
Character d o e s t h e l e v e l o f w a t e r
Milliseconds 109 79 45 77 109 0 61 61 93 16 78 78 140 63 78 93 63 45 77 125 140 31 77 78 31
Character i n a b a r t r r -r -r -t r e l c h a n g e
Milliseconds 32 61 32 91 79 77 123 61 0 110 112 183 110 125 109 62 62 48 107 0 94 0 62 61 60
Character a s a f u n c t i o n o f t h e a m o u
Milliseconds 108 31 78 109 93 65 75 125 30 125 109 16 32 122 80 79 47 170 47 91 0 356 125 172 77
Character n t o f l u i q -q -i -u i q u i d o p -p -o p o
Milliseconds 94 75 16 46 95 64 77 110 78 125 199 125 123 170 155 77 47 122 30 126 62 295 110 156 141
Character u r e d i n t o i t ? w e s e -s -e -w -e - W
Milliseconds 124 94 62 139 31 201 62 64 60 63 63 62 235 33 185 62 47 127 76 139 0 110 0 0 201
Character e s e e h c n a g e -h -c -n -a -g -e - c h a n g
Milliseconds 93 32 141 78 108 30 157 0 109 30 48 63 0 204 0 0 0 0 0 0 140 15 106 0 62
Character e o c c u r i n g i n -i -n - - -g -n -i r i n g
Milliseconds 79 15 63 123 123 77 125 62 61 62 46 48 48 76 142 0 0 123 139 156 125 94 109 46 109
Character i n n e a r l y e v e r y t h i n g w e
Milliseconds 78 47 47 61 141 138 188 45 63 61 61 126 185 92 63 63 139 31 16 95 122 92 127 76 93
Character o b s e r v e i t h e -t -h -e -i - i n t h e
Milliseconds 171 93 125 61 63 137 79 44 47 111 108 108 61 172 0 0 123 0 122 31 45 46 78 44 32
Character w o r l d a n d u n i v e r s e , a n d p
Milliseconds 76 32 30 107 49 46 174 75 63 30 63 110 15 78 110 31 63 77 77 49 78 31 92 0 45
Character o w e r f u l m o d e r n i n s t r u m e n t
Milliseconds 62 78 17 31 123 93 31 78 80 46 61 124 31 62 44 111 62 93 48 124 0 125 92 62 94
Character s h l p e -h -l -p -e - h e l p u s s e e m
Milliseconds 92 16 79 217 62 92 92 187 0 0 0 0 138 32 65 45 46 94 78 92 125 94 109 46 172
Character o r e a n d m o r e . I n t h i s s e c
Milliseconds 47 95 60 19 121 77 62 32 63 46 62 33 79 78 139 78 45 78 47 29 46 48 79 169 169
Character t i o n w e i n t r o d u c e d t h e -t -h
Milliseconds 93 48 15 47 47 76 62 62 46 61 60 110 64 94 108 92 108 31 46 32 78 34 75 156 0
Character -e - - -d t h e i d e a s o f a v e r a g e
Milliseconds 0 0 108 139 121 0 93 32 77 77 47 92 95 61 46 61 62 76 109 108 92 46 156 32 77
Character a n d i n s t a n t e -e a n e o u s r a t e
Milliseconds 62 93 63 78 16 63 48 60 48 109 62 49 150 325 124 63 95 92 78 63 62 15 139 47 80
Character s o f c h a n g e , a n d s h o w t h a
Milliseconds 30 108 63 92 47 126 30 75 32 63 63 78 47 113 74 46 60 79 45 32 76 48 77 77 31
Character t t h e y a r e c l o s e l y r e l a t e
Milliseconds 62 32 93 30 112 47 92 46 48 45 61 62 77 110 31 63 78 109 61 16 78 94 215 78 78
Character d t o t h e s l o p o e -e -o - e o f a
Milliseconds 141 30 77 31 78 31 79 30 48 77 62 107 33 92 63 139 248 127 123 48 77 30 62 92 32
Character c u r v e a t a p o i n t P o n t h
Milliseconds 126 15 95 44 139 78 78 123 93 172 15 190 187 62 31 31 92 31 156 94 63 93 63 95 47
Character e c u r v e . W e g i v e p r e c e i -i -e
Milliseconds 46 31 140 79 92 154 107 78 76 137 63 46 170 95 78 33 76 32 78 61 123 128 16 342 108
Character i s e d e v e l o p m e n t s o f t h e s e
Milliseconds 140 200 110 62 105 109 93 62 32 107 30 77 94 93 15 107 47 46 79 78 64 61 30 108 33
Character i m p o r t a n t e o n c -e -o -n -c c o n c e p
Milliseconds 47 48 46 16 61 46 124 93 31 63 77 140 76 78 30 204 0 0 0 121 31 62 48 124 63
Character t s i n t h e n e x t d f h a -d -f -h -a c h
Milliseconds 30 111 46 31 62 79 31 79 31 61 46 46 140 76 47 123 15 31 123 249 0 0 0 91 47
Character a p a t e r -c -h -a -p -a -t -e -r c h a p t e r , b u
Milliseconds 95 541 91 63 94 62 249 0 0 0 0 0 0 0 417 47 91 61 123 93 47 31 60 77 31
Character t f o r n o w e w -w -e w e u s e a n i
Milliseconds 92 46 94 62 77 0 78 30 48 78 78 32 342 109 77 30 0 111 76 62 33 109 46 77 32
Character n f o r m a l a p p r o a c h s o y o u w
Milliseconds 79 48 63 77 91 48 109 94 109 79 93 77 79 62 95 90 62 78 63 78 30 30 47 60 63
Character i l l s e e h o w t h e y l e a d n a t
Milliseconds 47 62 93 30 94 63 124 47 61 31 93 77 108 31 62 47 63 46 61 108 78 47 47 94 63
Character u r a l l y t o t h e m a i n i d e a o
Milliseconds 92 61 93 17 123 77 78 31 47 79 61 62 62 31 63 93 46 63 30 63 78 124 93 62 32
Character f t h i s c h a p t e r , t h e l i m i t
Milliseconds 76 63 63 47 62 17 45 109 16 110 47 106 93 62 31 49 76 47 77 16 63 93 48 76 127
Character . T h e i d e a o f a l i m -i -m - - -l
Milliseconds 92 32 156 93 32 46 78 62 124 92 31 62 79 46 76 77 16 123 78 218 0 436 139 204 108
Character l i m i t p l a y s a f o u n d a t i o n
Milliseconds 77 79 62 77 48 95 62 31 62 45 93 62 32 171 46 62 63 29 92 77 169 75 16 32 46
Character a l r o l e t h r o u g h o u t c a l c u l
Milliseconds 356 79 77 46 64 121 31 79 46 61 79 30 46 95 77 93 47 78 62 109 93 15 109 62 140
Character u s .
Milliseconds 92 92 93
WPM Timing
Seconds WPM
1.64 36.66
3.27 95.31
4.91 92.87
6.55 117.31
8.18 123.17
9.82 133.19
11.46 129.87
13.09 125.55
14.73 127.9
16.37 128.3
18 121.97
19.64 125.86
21.28 124.64
22.91 126.21
24.55 125.13
26.19 120.05
27.82 119.89
29.46 116.08
31.1 114.6
32.74 112.54
34.37 113.12
36.01 111.31
37.65 114.44
39.28 117.61
40.92 116.72
42.56 118.15
44.19 120.02
45.83 118.88
47.47 120.59
49.1 120.48
50.74 122.51
52.38 123.72
54.01 123.3
55.65 123.56
57.29 124.01
58.92 123.62
60.56 123.65
62.2 124.06
63.83 124.83
65.47 121.7
67.11 122.31
68.74 122.37
70.38 123.61
72.02 124.64
73.65 125.94
75.29 127.19
76.93 126.51
78.56 125.86
80.2 126.28
81.84 126.69