paoseirjaspeiojr (chqnges)

Race #6137

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Official speed 144.34 wpm (71.83 seconds elapsed during race)
Without ending ping 144.85 wpm (89 ms delay sending score to TypeRacer’s server)
Timerless 145.39 wpm (266 ms elapsed before first character typed; 71.48 seconds elapsed during race)
Timerless minus one 145.23 wpm, ignoring the first character typed
Race Start December 31, 2023 3:08:50am UTC
Race Finish December 31, 2023 3:10:02am UTC
Outcome Win (1 of 5)
Opponents 2. micaelaishot123 (122.55 wpm)
4. johnathandoeherty (84.55 wpm)
Accuracy 96.6%
Points 389.73
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 Caluclualculus is a tool that helps us understand how a change in one quantity is related to a change in anotehr. nother. how dHow does the sepeepeed of fa a falling object change ase a fs a functikono nof tunction of time? How does the level of water in a barrel change as a fucnnctino of unction of the amount of liquid poured into it!? We see change occurring in nearly everything we boserbserve 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 instanteaneous rates of chagne, hange, and snhwo that sowhow that htye hey are closely related to the slope of a curve at a point P on the curve. We give precise developments of tehse hese mpiormportant concepts in the nxtextext chapter, but fro noor now we use an informal approach so you will see how they lead naturally to the main idea of his this chapter, the limit. The idea of a limit plays a foundational role throughout caflcalculus.
Timing
Character C a l u c l u -a -l -u -c -l -u a l c u l u s i s a
Milliseconds 266 205 95 70 50 70 51 570 0 0 0 0 0 121 0 479 43 79 75 134 54 45 69 53 72
Character t o o l t h a t h e l p s u s u n d e r
Milliseconds 56 61 24 132 126 47 57 82 13 42 40 47 72 96 74 40 75 70 124 49 43 121 62 134 39
Character s t a n d h o w a c h a n g e i n o n e
Milliseconds 134 22 54 92 25 48 87 20 20 75 52 85 60 56 46 89 15 57 0 169 39 61 76 54 24
Character q u a n t i t y i s r e l a t e d t o a
Milliseconds 56 91 52 92 57 96 0 119 54 112 0 88 41 57 41 69 29 81 25 130 21 89 21 93 32
Character c h a n g e i n a n o t e h r . -n -o -t -e -h
Milliseconds 101 98 103 33 126 16 63 52 60 39 49 86 19 35 50 101 0 64 94 30 402 0 0 0 0
Character -r -. - n o t h e r . h o w d $H -o -w - -d o w d
Milliseconds 0 0 0 79 19 48 74 40 44 84 28 163 46 40 64 77 347 0 0 0 0 50 55 69 73
Character o e s t h e s e p e e -e -p -e -e p e e d o f
Milliseconds 51 82 23 35 56 51 38 57 38 12 70 59 144 454 0 0 0 85 69 135 117 54 64 60 58
Character f a - -a -f a f a l l i n g o b j e c t c h
Milliseconds 76 44 96 218 132 120 175 55 79 51 38 122 22 53 65 54 0 92 69 66 132 19 40 93 60
Character a n g e a s e a f -s -e - -a - -f s a f u n
Milliseconds 56 112 43 28 47 81 56 38 37 53 75 23 522 0 0 0 0 0 61 33 78 51 37 46 140
Character c t i k o n -n -o -k o n o f t -u -n -c -t -i -o - -n -o
Milliseconds 21 45 140 0 0 25 332 127 110 130 57 0 106 15 23 91 351 0 0 0 0 0 0 0 0
Character -f - -t u n c t i o n o f t i m e ? H o w d
Milliseconds 0 0 0 85 111 56 33 52 37 62 25 46 65 65 72 44 20 55 138 104 159 184 87 41 56
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 85 64 44 12 150 50 71 31 44 80 67 78 21 64 76 53 44 66 40 46 152 45 66 53 38
Character a b a r r e l c h a n g e a s a f u c
Milliseconds 67 64 67 79 30 27 143 54 17 80 101 30 38 100 51 20 55 63 54 73 68 36 47 55 145
Character n -n -c n c t i n o o f -u -n -c -t -i -n -o - -o -f - u
Milliseconds 21 290 125 298 93 29 69 35 0 85 40 80 63 279 0 0 0 0 0 0 0 0 0 0 61
Character n c t i o n o f t h e a m o u n t o f l
Milliseconds 125 42 37 61 48 15 92 36 57 71 80 0 67 51 47 36 74 59 130 61 37 57 93 57 103
Character i q u i d p o u r e d i n t o i t ! -! ? W
Milliseconds 59 114 80 23 75 13 60 37 48 63 42 129 29 57 32 59 44 92 28 60 266 305 173 67 25
Character e s e e c h a n g e o c c u r r i n g i n
Milliseconds 150 60 84 33 126 37 114 28 61 74 46 35 50 28 127 112 72 70 135 124 55 40 62 0 40
Character n e a r l y e v e r y t h i n g w e b o s
Milliseconds 78 151 67 58 22 72 19 21 71 62 116 32 59 93 76 152 44 56 40 77 23 71 79 0 106
Character e r -b -s -e -r b s e r v e i n t h e w o r l d
Milliseconds 33 48 341 0 0 0 14 54 26 17 151 30 71 59 25 62 29 40 60 54 37 20 27 115 90
Character a n d u n i v e r s e , a n d p o w e r f
Milliseconds 72 51 30 81 39 35 124 35 64 111 65 73 35 111 71 44 45 58 43 41 28 53 22 30 127
Character u l m o d e r n i n s t r u m e n t s h e l
Milliseconds 46 46 68 91 17 42 135 12 76 56 18 55 73 32 56 40 133 75 67 59 55 18 61 67 72
Character p u s s e e m o r e a n d m o r e . I
Milliseconds 44 88 43 79 56 100 24 148 74 41 34 46 32 51 39 31 79 19 67 40 34 31 98 25 136
Character n t h i s s e c t i o n w e i n t r o d u
Milliseconds 68 50 54 61 25 27 52 89 0 151 44 53 23 41 69 65 42 62 16 36 54 36 28 123 79
Character c e t h e i d e a s o f a v e r a g e a
Milliseconds 82 152 55 25 43 67 64 16 95 145 59 65 55 68 39 51 48 94 126 32 103 62 49 21 110
Character n d i n s t a n t e -e a n e o u s r a t e s
Milliseconds 20 94 0 121 39 96 235 61 86 25 86 382 151 177 121 65 23 54 34 76 59 82 30 48 36
Character o f c h a g n e , -h -a -g -n -e -, - h a n g e ,
Milliseconds 80 22 55 74 30 72 102 0 39 107 28 376 0 0 0 0 0 0 44 68 50 37 36 67 77
Character a n d s n -n h w o t h a t -s -h -w -o - -t -a -t -
Milliseconds 76 15 80 31 83 22 312 158 43 0 36 57 58 30 73 26 305 0 0 0 0 0 0 0 0
Character s o w -h -o -w h o w t h a t h t y e -h -y -e - h
Milliseconds 28 0 150 368 0 0 53 24 50 51 115 0 254 70 87 51 16 122 15 45 419 0 0 0 19
Character e y a r e c l o s e l y r e l a t e d t o
Milliseconds 91 14 76 64 38 39 45 106 19 100 95 29 50 52 37 79 39 37 63 29 51 103 38 67 36
Character t h e s l o p e o f a c u r v e a t
Milliseconds 90 89 17 33 81 30 71 139 30 71 30 50 53 66 53 49 76 82 28 160 27 54 73 71 55
Character a p o i n t P o n t h e c u r v e . W
Milliseconds 70 60 46 39 16 63 29 41 104 87 89 39 55 58 47 43 51 104 57 55 142 74 0 132 151
Character e g i v e p r e c i s e d e v e l o p m e n
Milliseconds 135 44 119 58 112 52 128 0 123 44 138 85 29 59 26 88 143 39 120 37 140 23 118 33 120
Character t s o f t e h s e -e -h -s -e - h e s e m p i
Milliseconds 25 63 14 67 53 56 100 90 0 106 51 57 293 0 0 0 0 44 64 95 57 57 119 45 17
Character o r -m -p -o -r m p o r t a n t c o n c e p t s i
Milliseconds 0 112 309 0 0 0 31 33 19 69 40 59 42 50 67 52 60 16 108 209 78 44 54 12 53
Character n t h e n x t -t e x t -x -e -x -t e x t c h a p
Milliseconds 41 60 26 55 84 56 71 84 70 227 99 102 66 292 0 0 0 91 113 30 48 101 39 70 50
Character t e r , b u t f r o n o -r -o - -n -o o r n o
Milliseconds 21 131 36 80 61 32 175 35 65 137 180 0 52 135 27 300 0 0 0 0 63 79 51 29 25
Character w w e u s e a n i n f o r m a l a p p r
Milliseconds 72 60 100 51 83 17 97 34 40 77 51 71 73 40 28 116 19 130 27 41 118 37 30 125 72
Character o a c h s o y o u w i l l s e e h o w
Milliseconds 69 72 44 29 78 81 27 78 43 68 65 36 49 68 125 108 56 40 34 120 52 38 25 38 54
Character t h e y l e a d n a t u r a l l y t o t h
Milliseconds 45 20 87 35 77 78 58 64 99 49 59 34 50 109 47 39 61 107 24 61 42 51 74 49 53
Character e m a i n i d e a o f h i s $t -i -s - h i
Milliseconds 62 43 72 52 57 65 83 33 105 123 57 0 56 79 70 0 25 68 55 328 0 0 0 34 26
Character s c h a p t e r , t h e l i m i t . T h e
Milliseconds 34 62 117 0 100 105 62 109 61 51 87 46 48 86 33 56 44 59 100 23 133 79 93 82 48
Character i d e a o f a l i m i t p l a y s a
Milliseconds 29 116 39 117 49 13 65 60 59 53 92 21 31 48 88 87 27 89 74 61 103 59 28 68 77
Character f o u n d a t i o n a l r o l e t h r o u g h
Milliseconds 23 70 31 144 21 37 42 66 53 27 68 54 84 34 43 114 22 55 36 46 60 35 36 76 56
Character o u t c a f l c -a -f -l -c a l c u l u s .
Milliseconds 88 49 21 61 91 18 0 45 166 402 0 0 0 44 25 97 28 118 76 102 95
WPM Timing
Seconds WPM
1.44 8.35
2.87 66.82
4.31 103.02
5.75 127.38
7.18 140.33
8.62 139.22
10.06 131.26
11.49 128.43
12.93 121.58
14.37 127.8
15.8 122.26
17.24 112.07
18.68 115.01
20.11 121.12
21.55 125.3
22.99 120.6
24.42 120.87
25.86 124.37
27.3 123.54
28.73 125.3
30.17 128.88
31.61 129.47
33.04 132.2
34.48 135.39
35.92 138.66
37.35 141.68
38.79 143.24
40.23 143.79
41.66 142.58
43.1 141.44
44.53 137.69
45.97 136
47.41 136.94
48.84 138.81
50.28 140.57
51.72 140.38
53.15 141.32
54.59 139.58
56.03 140.29
57.46 138.24
58.9 138.33
60.34 138.42
61.77 139.67
63.21 141.05
64.65 142.37
66.08 142.36
67.52 143.25
68.96 144.26
70.39 145.92
71.83 144.34