Specter (spectergrrim)

Race #333

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Official speed 107.59 wpm (96.37 seconds elapsed during race)
Without ending ping 107.82 wpm (206 ms delay sending score to TypeRacer’s server)
Timerless 108.19 wpm (330 ms elapsed before first character typed; 95.83 seconds elapsed during race)
Timerless minus one 108.07 wpm, ignoring the first character typed
Race Start January 30, 2024 8:30:19pm UTC
Race Finish January 30, 2024 8:31:55pm UTC
Outcome Win (1 of 5)
Opponents 2. racen55 (106.69 wpm)
3. abizern (87.24 wpm)
4. saegl (78.09 wpm)
Accuracy 98.0%
Points 290.50
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 toool that helps us understand how a change in one quatntity is reallated to a change in another. How does the speed of a fallingo 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 pourieed into it? We see change occurrin g in nearly everything we observe in the world and universem a, e, and poiwerwewerful modern instruments help us see more and more. In this section we introduece the ideas of average and instantaneous rates of change, and show that they are closely related to the slop ee of a curve at a point P on the cureve. EWe give oreprevicise developments onf these important conncetppts in the next chapter, but for now we use an informal approach so you will see h9ow ow 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 o -o l t h a t
Milliseconds 330 140 78 97 106 168 146 71 63 79 62 78 20 92 124 31 114 464 366 123 111 78 61 62 64
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 17 139 79 78 124 128 133 136 79 125 81 60 63 77 78 94 78 108 65 92 94 139 47 63 110
Character a c h a n g e i n o n e q u a t -t n t i t
Milliseconds 21 105 63 93 63 78 93 48 77 109 53 120 108 64 60 143 160 107 142 62 208 126 111 125 158
Character y i s r e a l -l -a l a t e d t o a c h a
Milliseconds 173 96 110 48 110 81 39 85 61 250 112 125 31 46 78 111 94 66 46 74 63 65 60 108 63
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 78 64 67 60 89 48 126 62 93 64 77 94 31 48 110 143 144 94 78 93 99 92 93 153 48
Character t h e s p e e d o f a f a l l i n g o -o
Milliseconds 110 49 60 103 71 83 90 111 146 136 110 83 59 66 47 152 93 62 95 144 56 52 153 474 109
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 127 178 187 111 111 156 94 158 15 458 81 92 47 92 94 78 79 63 78 110 77 62 46 174 30
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 47 30 93 111 63 61 81 61 61 31 161 188 158 142 62 110 78 79 63 125 47 112 46 95 47
Character l e v e l o f w a t e r i n a b a r r e
Milliseconds 107 53 93 73 78 125 116 104 56 85 93 78 80 78 75 97 46 124 62 78 158 79 61 133 74
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 76 78 94 97 47 63 78 63 93 96 91 62 93 125 79 107 37 58 173 35 42 32 125 102 55
Character t h e a m o u n t o f l i q u i d p o u
Milliseconds 35 105 60 60 104 48 125 108 79 111 97 88 123 89 65 129 122 187 63 363 124 114 170 85 232
Character r i e -e -i e d i n t o i t ? W e s e e c
Milliseconds 84 475 102 133 104 44 97 49 122 48 88 64 77 144 109 175 164 82 264 126 57 142 108 46 100
Character h a n g e o c c u r r i n - g i n n e a r
Milliseconds 81 77 61 76 47 108 128 126 102 114 111 142 155 63 227 236 61 100 153 55 115 142 50 88 57
Character l y e v e r y t h i n g w e o b s e r v e
Milliseconds 109 203 84 169 103 107 48 42 109 48 119 98 90 105 76 65 176 178 109 111 141 61 159 82 96
Character i n t h e w o r l d a n d u n i v e r s e
Milliseconds 92 63 98 100 76 63 104 49 90 64 92 84 80 81 58 77 66 104 50 115 106 87 102 109 77
Character m a -a - -m -e , - -, e , a n d p o i w e r -r
Milliseconds 88 105 140 111 145 60 130 52 132 231 124 64 78 134 79 108 77 80 109 87 0 60 52 163 197
Character -e -w w e -e -w -i w e r f u l m o d e r n i n s t
Milliseconds 101 144 128 29 233 107 143 100 64 127 120 65 108 128 123 74 79 88 381 116 122 104 50 131 88
Character r u m e n t s h e l p u s s e e m o r e
Milliseconds 129 70 83 125 82 120 57 66 138 120 89 146 147 121 68 116 114 127 139 50 138 55 59 38 64
Character a n d m o r e . I n t h i s s e c t i o n
Milliseconds 89 60 92 46 142 91 59 30 49 152 106 207 335 119 64 63 76 90 80 151 77 172 63 132 16
Character w e i n t r o d u e -e c e t h e i d e a s
Milliseconds 137 110 160 79 197 61 108 145 85 105 94 156 228 50 63 76 94 89 59 92 87 44 93 106 66
Character o f a v e r a g e a n d i n s t a n t a n
Milliseconds 57 128 100 47 142 92 131 64 108 115 60 69 132 83 107 45 123 46 76 48 120 98 118 142 133
Character e o u s r a t e s o f c h a n g e , a n d
Milliseconds 172 144 76 67 112 183 65 156 68 136 63 94 95 35 93 81 66 76 72 66 84 127 65 74 112
Character s h o w t h a t t h e y a r e c l o s e
Milliseconds 47 132 62 64 90 142 94 88 62 76 42 131 89 105 58 72 132 61 52 88 143 91 109 107 64
Character l y r e l a t e d t o t h e s l o p e -e
Milliseconds 152 129 381 121 47 121 90 63 70 97 103 119 15 110 178 107 66 107 67 120 139 91 124 44 190
Character - e o f a c u r v e a t a p o i n t
Milliseconds 104 59 93 110 81 100 29 91 123 150 229 200 83 105 78 158 82 92 108 139 48 149 54 70 59
Character P o n t h e c u r e -e v e . E -E W e g i
Milliseconds 116 112 124 65 123 62 90 44 93 78 94 91 106 252 73 61 82 162 447 252 60 230 124 82 92
Character v e o r e -e -r -o p r e v i -i -v c i s e d e v e
Milliseconds 93 49 91 128 91 44 306 110 110 112 110 57 184 79 367 114 62 112 267 105 95 216 76 123 59
Character l o p m e n t s o n -n f t h e s e i m p o r
Milliseconds 74 150 49 73 125 89 67 112 121 62 100 235 81 112 45 151 51 168 61 92 123 47 138 29 61
Character t a n t c o n n -n c e t p -p -t p t s i n t h
Milliseconds 127 50 58 221 126 109 140 95 88 313 119 91 253 111 209 112 82 58 48 90 78 77 108 43 94
Character e n e x t c h a p t e r , b u t f o r n
Milliseconds 44 101 157 64 168 52 90 123 62 80 86 76 80 79 107 130 177 75 80 102 97 74 86 49 146
Character o w w e u s e a n i n f o r m a l a p p
Milliseconds 43 115 94 78 91 125 135 85 63 161 158 98 153 110 56 67 123 68 84 88 128 186 143 111 109
Character r o a c h s o y o u w i l l s e e h 9 o
Milliseconds 78 105 72 112 249 158 114 61 79 159 33 56 141 50 62 123 104 74 64 152 111 43 169 44 42
Character w - -w -o -9 o w t h e y l e a d n a t u r a
Milliseconds 36 152 204 115 126 115 201 98 76 101 80 45 98 80 127 66 79 135 108 127 78 87 125 133 76
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 81 95 89 62 104 39 86 89 63 71 94 169 117 90 67 148 120 58 98 81 92 96 126 75 103
Character h i s c h a p t e r , t h e l i m i t . T
Milliseconds 122 63 63 99 106 123 112 122 56 88 86 104 130 122 61 61 92 92 141 79 76 127 95 144 97
Character h e i d e a o f a l i m i t p l a y s
Milliseconds 129 109 95 79 88 60 76 111 94 126 0 95 123 393 149 64 80 145 135 153 50 90 78 113 111
Character a f o u n d a t i o n a l r o l e t h r o u
Milliseconds 86 44 157 65 41 113 49 106 111 89 78 30 107 125 153 262 93 108 90 107 89 63 99 43 59
Character g h o u t c a l c u l u s .
Milliseconds 64 80 108 52 68 123 76 79 56 158 94 152 151 109 89
WPM Timing
Seconds WPM
1.93 105.85
3.85 93.39
5.78 110
7.71 107.4
9.64 105.85
11.56 113.11
13.49 115.63
15.42 110.52
17.35 110
19.27 112.7
21.2 115.47
23.13 117.78
25.06 119.74
26.98 117.41
28.91 114.56
30.84 114.8
32.76 113.17
34.69 113.11
36.62 114.37
38.55 111.45
40.47 108.81
42.4 106.98
44.33 107.47
46.26 108.7
48.18 108.34
50.11 108
52.04 108.84
53.96 108.96
55.89 110.14
57.82 110.83
59.75 110.87
61.67 109.93
63.6 110.19
65.53 108.96
67.46 107.63
69.38 106.37
71.31 106.35
73.24 106.01
75.17 105.53
77.09 106.31
79.02 106.61
80.95 106.44
82.87 105.7
84.8 105.85
86.73 106.54
88.66 106.93
90.58 107.3
92.51 107.14
94.44 107.37
96.37 107.59