Joel (activemap)

Race #39

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Official speed 134.02 wpm (77.36 seconds elapsed during race)
Without ending ping 134.93 wpm (253 ms delay sending score to TypeRacer’s server)
Timerless 135.51 wpm (332 ms elapsed before first character typed; 76.78 seconds elapsed during race)
Timerless minus one 135.35 wpm, ignoring the first character typed
Race Start May 25, 2023 11:20:17am UTC
Race Finish May 25, 2023 11:21:35am UTC
Outcome Win (1 of 4)
Accuracy 97.3%
Points 361.86
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 chance in ohange in one quantity is relate dd to a change in another. How does the speed of a falling object change as a funciton ounction 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 realnealy eearly everything we observe in whe wthe world and universe, an dpd powerful modern instruments help is seus see more and more. In this section we introduce the ideas of aeravverage and instatentaneous rate ofs of change, and show that they are closely related to the slope of a curve at the a point P on the curve. We give procesciecise 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 manin idea of this cahpter,hapter, the limit. The idea of a limit plays a nfoundationarl role wthroughout calculaus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 332 95 89 137 102 57 88 80 57 55 63 57 64 88 9 95 128 24 33 120 38 16 97 24 111
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 40 106 40 102 17 81 64 40 72 81 111 112 22 138 56 72 32 176 7 441 88 55 65 47 95
Character c h a n c e i n o -h -a -n -c -e - -i -n - -o h a n g
Milliseconds 50 31 65 76 35 41 24 65 46 57 61 467 0 0 0 0 0 0 0 0 0 73 53 91 30
Character e i n o n e q u a n t i t y i s r e l a
Milliseconds 57 32 62 41 81 64 88 80 63 113 120 24 136 32 94 58 87 25 104 47 63 98 56 72 80
Character t e d -d - d t o a c h a n g e i n a n
Milliseconds 80 55 145 176 151 121 31 64 88 31 57 71 48 82 48 49 79 47 48 24 65 39 73 47 113
Character o t h e r . H o w d o e s t h e s p e e d
Milliseconds 30 138 34 12 113 40 39 98 104 55 89 72 63 33 73 78 81 31 47 41 81 96 22 138 83
Character o f a f a l l i n g o b j e c t c h a n
Milliseconds 18 59 80 31 97 96 112 120 95 120 81 64 56 32 46 105 113 15 57 120 38 106 62 58 47
Character g e a s a f u n c i t o n o -u -n -c -i -t -o -n
Milliseconds 63 50 62 34 22 129 73 88 54 65 80 154 87 32 23 113 43 76 369 0 0 0 0 0 0
Character - -o u n c t i o n o f t i m e ? H o w d o
Milliseconds 0 0 127 33 152 112 47 33 50 53 56 73 40 104 80 55 49 79 89 80 63 89 39 129 15
Character e s t h e l e v e l o f w a t e r i n
Milliseconds 80 65 80 64 40 46 34 80 48 88 48 104 55 25 136 22 129 72 81 96 47 55 57 73 54
Character a b a r r e l c h a n g e a s a f u n c
Milliseconds 74 81 45 82 110 146 88 248 73 103 65 62 73 47 56 26 30 90 47 72 81 76 92 63 144
Character t i o n o f t h e a m o u n t o f l i q
Milliseconds 127 17 54 96 24 66 64 64 96 40 40 31 64 47 90 23 80 33 47 60 51 65 121 114 111
Character u i d p o u r e d i n t o i t ? W e s e
Milliseconds 144 28 75 73 97 30 113 54 92 53 47 33 89 24 39 40 73 47 128 81 79 113 48 72 63
Character e c h a n g e o c c u r r i n g i n r e a
Milliseconds 120 32 89 22 72 73 47 40 34 120 72 136 95 55 138 88 63 64 8 40 95 34 144 47 58
Character l $n -e -a -l e a l y e -e -a -l -y - -e e a r l y e v
Milliseconds 167 390 0 0 0 137 41 119 120 41 110 362 0 0 0 0 0 102 34 66 85 73 23 81 71
Character e r y t h i n g w e o b s e r v e i n w h
Milliseconds 81 80 63 73 48 39 82 45 49 105 38 33 105 57 135 70 65 145 16 30 90 55 64 104 33
Character e w $t -h -e - -w h e w o r l d a n d u n i v
Milliseconds 15 25 192 264 0 0 0 0 64 54 34 72 63 89 55 104 18 45 90 120 23 81 79 57 80
Character e r s e , a n d p -p -d - d p o w e r f u l
Milliseconds 88 71 96 33 32 38 48 65 136 7 322 168 119 144 57 80 23 33 63 73 73 119 95 49 63
Character m o d e r n i n s t r u m e n t s h e l p i
Milliseconds 80 55 82 119 57 143 31 42 72 72 79 129 71 88 80 71 65 64 49 80 64 54 89 57 88
Character s s e -e $u -s - -s s s e e m o r e a n d m
Milliseconds 54 73 96 81 135 337 0 0 0 63 105 47 89 127 64 64 71 97 16 47 48 74 130 86 87
Character o r e . I n t h i s s e c t i o n w e i
Milliseconds 32 121 64 40 32 135 121 54 91 29 65 73 62 65 65 95 121 47 32 73 40 96 24 64 111
Character n t r o d u c e t h e i d e a s o f a e r
Milliseconds 64 47 114 79 82 79 64 87 16 72 55 16 8 282 128 71 33 54 98 54 58 63 96 169 185
Character a -a -r v -v -e v e r a g e a n d i n s t a t e -e
Milliseconds 31 160 136 144 239 120 48 121 111 25 119 23 58 23 90 119 39 65 72 129 78 88 72 193 207
Character -t n t a n e o u s r a t e o f -f -o - s o f
Milliseconds 152 73 200 295 96 97 159 39 66 103 97 63 80 57 112 64 96 191 137 128 40 176 71 23 162
Character c h a n g e , a n d s h o w t h a t t h e
Milliseconds 54 56 65 97 46 50 54 24 65 57 126 58 119 112 88 55 49 89 30 48 66 71 73 39 115
Character y a r e c l o s e l y r e l a t e d t o
Milliseconds 38 46 56 106 88 32 167 120 96 55 97 48 73 59 59 65 55 97 73 62 170 80 80 54 33
Character t h e s l o p e o f a c u r v e a t t
Milliseconds 73 31 81 15 64 130 87 151 31 105 80 40 104 32 96 49 103 55 145 23 42 40 88 46 105
Character h e - -e -h -t a p o i n t P o n t h e c
Milliseconds 33 31 48 192 120 137 128 30 41 40 95 66 32 32 72 120 152 87 48 77 58 49 57 40 86
Character u r v e . W e g i v e p r o c e s -s -e -c c i
Milliseconds 43 94 152 40 32 23 81 128 32 48 89 88 31 55 32 73 40 96 55 105 249 128 130 109 113
Character -i -c -o e c i s e d e v e l o p m e n t s o f
Milliseconds 183 128 128 72 55 89 152 72 31 90 54 361 73 87 63 49 47 89 56 57 96 6 81 77 67
Character t h e s e i m p o r t a n t c o n c e p t s
Milliseconds 88 40 55 97 48 40 55 81 80 23 65 25 79 89 31 55 105 72 63 65 88 32 56 160 111
Character i n t h e n e x t c h a p t e r , b u t
Milliseconds 82 47 80 72 40 73 16 104 47 41 96 63 104 33 7 152 80 120 119 57 23 90 54 90 56
Character f o r n o w w e u s e a n i n f o r m a
Milliseconds 87 55 96 48 98 62 90 64 72 63 24 64 72 96 72 73 65 54 72 65 130 93 56 121 54
Character l a p p r o a c h s o y o u w i l l s e
Milliseconds 105 40 80 74 134 64 80 23 49 41 95 31 98 54 58 72 54 24 50 80 63 112 32 98 62
Character e h o w t h e y l e a d n a t u r a l l y
Milliseconds 137 31 55 89 56 72 55 34 46 48 41 88 472 23 58 127 112 112 88 55 89 55 81 112 32
Character t o t h e m a n -n i n i d e a o f t h
Milliseconds 46 66 47 41 63 48 41 23 105 65 280 191 31 89 63 81 113 63 40 47 105 64 64 104 39
Character i s c a h p t e r , -a -h -p -t -e -r -, h a p t e r ,
Milliseconds 56 81 64 104 33 32 111 89 63 104 64 313 0 0 0 0 0 0 88 54 121 10 183 78 97
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 40 72 49 46 34 95 49 71 72 64 81 30 81 144 55 25 72 97 31 63 113 72 48 171 37
Character l i m i t p l a y s a n -n f o u n d a t i
Milliseconds 112 88 121 22 137 79 121 55 89 72 31 129 32 103 97 88 217 55 96 23 89 112 97 78 57
Character o n a r -r l r o l e w -w t h r o u g h o u t
Milliseconds 32 104 104 96 265 95 72 105 83 43 81 41 63 232 136 47 121 55 33 88 115 37 40 96 143
Character c a l c u l a -a u s .
Milliseconds 129 128 65 62 145 23 137 272 129 62 81
WPM Timing
Seconds WPM
1.55 124.09
3.09 151.24
4.64 131.85
6.19 126.03
7.74 127.19
9.28 133.14
10.83 140.71
12.38 142.51
13.93 137.88
15.47 137.28
17.02 140.31
18.57 140.25
20.11 143.18
21.66 145.14
23.21 147.36
24.76 148.81
26.3 140.06
27.85 142.19
29.4 141.24
30.94 141.54
32.49 139.97
34.04 141.01
35.59 138.26
37.13 139.6
38.68 141.47
40.23 139.01
41.78 137.59
43.32 134.62
44.87 132.65
46.42 133.66
47.96 134.6
49.51 135.48
51.06 134.9
52.61 135.27
54.15 134.73
55.7 132.71
57.25 133.32
58.79 134.3
60.34 135.23
61.89 135.92
63.44 136.96
64.98 137.02
66.53 137.98
68.08 137.49
69.63 135.81
71.17 136.91
72.72 136.8
74.27 135.89
75.81 135.65
77.36 134.02