The North Remembers (sylarll)

Race #650

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Official speed 119.26 wpm (86.94 seconds elapsed during race)
Without ending ping 119.53 wpm (195 ms delay sending score to TypeRacer’s server)
Timerless 120.54 wpm (728 ms elapsed before first character typed; 86.01 seconds elapsed during race)
Timerless minus one 120.40 wpm, ignoring the first character typed
Race Start January 25, 2024 3:06:15am UTC
Race Finish January 25, 2024 3:07:42am UTC
Outcome Win (1 of 5)
Opponents 2. bighiest (99.88 wpm)
Accuracy 98.9%
Points 322.01
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 tthat helps us understand how a change in one quantity is related to a change in another. How does the speed of a falling onjkebject 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 unvierse,oiviverse, and powerful modern instruments help us see more and more. IN thisn this section we introduce the ideas of average and instantajneous rates of change, and show that they are closely related to the slope of a curve at a poiint P on the curve. We give precise developments of these important COnceconcepts in the next chapter, but for now we use an informal apporroach 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.
Timing
Character C a l c u l u s i s a t o o l t -t t h a t
Milliseconds 728 105 123 92 126 291 172 89 65 98 71 49 83 85 70 74 122 159 81 86 350 268 123 74 70
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 67 94 72 237 108 107 62 116 67 77 147 76 8 144 125 63 78 67 94 84 63 50 109 4 81
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 68 98 50 82 86 92 46 162 38 35 59 101 45 73 50 70 114 83 96 89 127 73 104 166 50
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 137 26 98 71 158 58 51 90 161 154 45 126 41 72 46 94 63 74 81 92 70 148 50 21 64
Character a n o t h e r . H o w d o e s t h e s p
Milliseconds 88 62 50 80 83 83 87 140 67 90 143 108 40 61 97 95 62 41 60 104 57 104 63 40 63
Character e e d o f a f a l l i n g o n j k e -e -k -j
Milliseconds 67 146 149 51 65 74 62 71 103 51 68 48 119 172 74 39 55 66 94 174 8 76 225 138 141
Character -n b j e c t c h a n g e a s a f u n c t i
Milliseconds 404 97 118 109 170 173 66 167 93 87 76 83 149 53 70 93 50 87 89 46 81 55 45 157 32
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 122 65 51 108 54 45 114 4 85 106 201 77 183 131 45 51 103 116 59 68 56 108 85 90 49
Character l e v e l o f w a t e r i n a b a r r e
Milliseconds 79 57 167 156 58 56 96 46 95 104 66 98 172 129 47 40 69 82 44 113 51 60 85 139 165
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 49 65 98 47 69 134 117 164 79 88 97 136 85 124 93 138 83 5 171 46 119 56 56 95 63
Character t h e a m o u n t o f l i q u i d p o u
Milliseconds 54 106 61 92 36 73 37 93 185 70 53 60 52 94 53 58 162 81 92 148 80 72 110 162 114
Character r e d i n t o i t ? W e s e e c h a n g
Milliseconds 45 155 154 40 51 63 96 73 82 129 192 314 114 185 108 69 89 70 144 50 111 55 107 62 98
Character e o c c u r r i n g i n n e a r l y e v e
Milliseconds 147 56 27 115 144 102 90 153 104 70 88 51 55 39 88 74 87 67 102 95 87 63 114 50 101
Character r y t h i n g w e o b s e r v e i n t h e
Milliseconds 138 76 90 64 143 43 39 61 99 50 63 57 147 40 67 151 156 142 36 47 67 67 42 90 58
Character w o r l d a n d u n v i e r s e , -, -e -s -r -e
Milliseconds 56 55 76 67 93 58 57 43 64 67 42 111 96 83 8 154 128 66 110 74 221 140 141 132 245
Character -i -v o i v -v -i -o i v e r s e , a n d p o w e r
Milliseconds 357 542 230 12 106 219 149 346 213 105 175 151 61 114 97 81 76 51 97 51 73 68 6 71 157
Character f u l m o d e r n i n s t r u m e n t s h e
Milliseconds 142 43 148 75 76 75 16 151 143 72 79 101 96 64 78 157 57 157 80 99 45 116 50 68 76
Character l p u s s e e m o r e a n d m o r e .
Milliseconds 104 65 67 141 57 64 87 71 167 37 87 56 53 134 43 78 63 91 58 72 56 67 149 67 73
Character I N t h i s -s -i -h -t - -N n t h i s s e c t i
Milliseconds 157 71 59 93 68 72 46 215 139 149 126 144 139 210 85 108 80 62 58 51 99 84 171 150 27
Character o n w e i n t r o d u c e t h e i d e a s
Milliseconds 113 53 32 84 49 78 91 58 70 138 66 117 68 97 154 48 117 92 65 52 72 72 146 65 120
Character o f a v e r a g e a n d i n s t a n t a j
Milliseconds 81 104 64 55 80 114 166 136 47 108 109 58 80 107 63 63 65 56 51 78 80 105 73 213 208
Character -j n e o u s r a t e s o f c h a n g e , a
Milliseconds 327 195 112 104 105 191 69 96 93 82 176 57 50 70 67 62 86 63 91 79 92 158 63 49 74
Character n d s h o w t h a t t h e y a r e c l o
Milliseconds 87 52 40 86 65 127 28 37 105 76 42 73 38 99 72 110 60 50 70 82 143 35 127 43 128
Character s e l y r e l a t e d t o t h e s l o p e
Milliseconds 47 67 88 105 47 110 160 63 67 70 159 158 27 115 50 76 47 64 94 53 59 64 151 124 122
Character o f a c u r v e a t a p o i i -i n t
Milliseconds 45 75 88 70 53 121 64 132 61 166 152 58 102 143 80 72 128 167 317 7 155 561 203 111 83
Character P o n t h e c u r v e . W e g i v e p
Milliseconds 181 217 91 98 87 89 77 81 48 114 52 113 163 153 41 70 163 70 60 128 109 71 146 51 83
Character r e c i s e d e v e l o p m e n t s o f t h
Milliseconds 67 145 166 42 81 92 17 258 159 180 135 35 150 124 139 101 71 96 133 40 81 71 74 67 68
Character e s e i m p o r t a n t C O n c e -e -c -n -O -C c
Milliseconds 91 69 107 26 57 73 114 131 56 129 53 61 92 30 145 39 59 78 163 172 145 150 133 167 225
Character o n c e p t s i n t h e n e x t c h a p t
Milliseconds 60 86 59 157 73 116 110 74 60 56 53 63 68 83 63 48 75 163 155 27 137 82 81 116 87
Character e r , b u t f o r n o w w e u s e a n
Milliseconds 157 142 43 73 134 69 54 63 101 59 96 39 68 72 36 85 101 72 81 119 60 72 78 74 97
Character i n f o r m a l a p p o r -r -o r o a c h s o
Milliseconds 76 92 58 60 100 70 102 88 107 22 78 82 121 146 207 189 134 109 122 83 106 99 62 150 79
Character y o u w i l l s e e h o w t h e y l e
Milliseconds 72 126 57 68 54 67 92 155 116 35 53 73 129 56 69 107 36 46 89 67 112 33 77 101 22
Character a d n a t u r a l l y t o t h e m a i n
Milliseconds 69 108 50 50 57 86 54 99 44 43 123 67 57 92 26 85 72 47 111 53 150 85 98 66 60
Character i d e a o f t h i s c h a p t e r , t h e
Milliseconds 192 38 136 47 77 72 58 85 63 46 74 49 53 91 17 124 46 106 156 136 62 11 123 66 114
Character l i m i t . T h e i d e a o f a l i m
Milliseconds 27 93 171 100 96 94 108 66 153 67 86 38 71 84 122 49 63 77 78 68 113 124 119 158 77
Character i t p l a y s a f o u n d a t i o n a l r
Milliseconds 106 65 48 69 70 58 138 67 74 76 99 52 74 159 48 28 59 121 65 111 56 103 66 60 71
Character o l e t h r o u g h o u t c a l c u l u s .
Milliseconds 117 142 76 54 129 74 119 26 80 85 69 143 64 40 60 101 47 80 89 107 140 160 112 88
WPM Timing
Seconds WPM
1.74 55.21
3.48 69.02
5.22 87.42
6.95 108.7
8.69 111.81
10.43 118.48
12.17 122.26
13.91 121.64
15.65 113.49
17.39 117.33
19.13 118.58
20.86 120.2
22.6 120.51
24.34 122.26
26.08 122.39
27.82 121.21
29.56 121.79
31.3 123.08
33.04 124.96
34.77 121.81
36.51 116.01
38.25 113.88
39.99 114.93
41.73 115.89
43.47 116.22
45.21 113.61
46.95 114.52
48.68 115.11
50.42 114.71
52.16 114.8
53.9 116.21
55.64 116.9
57.38 117.75
59.12 116.92
60.86 115.36
62.59 115.79
64.33 115.28
66.07 116.06
67.81 114.14
69.55 114.74
71.29 115.31
73.03 116.18
74.77 115.24
76.5 116.23
78.24 117.17
79.98 117.93
81.72 118.36
83.46 118.62
85.2 119.16
86.94 119.26