offset (offset_guy)

Race #10

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Official speed 111.94 wpm (92.62 seconds elapsed during race)
Without ending ping 112.13 wpm (156 ms delay sending score to TypeRacer’s server)
Timerless 112.56 wpm (358 ms elapsed before first character typed; 92.11 seconds elapsed during race)
Timerless minus one 112.43 wpm, ignoring the first character typed
Race Start March 6, 2024 6:48:12pm UTC
Race Finish March 6, 2024 6:49:44pm UTC
Outcome Win (1 of 3)
Accuracy 99.1%
Points 302.24
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 change in one quantity is realtlated to a chancege 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 occuring in ring in nearly everything we obserrve iveve 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 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, fbut 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 thoroughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 358 211 113 103 167 37 199 112 98 119 54 75 103 88 155 55 134 108 55 137 58 102 91 54 135
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 83 61 20 94 91 95 81 84 111 82 29 65 98 152 105 52 48 113 83 79 46 105 96 90 92
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 114 62 129 83 135 62 105 119 46 83 129 80 108 98 177 134 90 104 128 112 112 64 128 96 64
Character r e a l t -t -l -a l a t e d t o a c h a n c
Milliseconds 81 118 56 234 36 163 232 159 153 200 62 37 100 91 86 169 71 54 100 75 332 102 64 121 119
Character e -e -c g e i n a n o t h e r . H o w d o e
Milliseconds 103 289 137 118 57 96 81 64 80 61 107 72 60 58 62 92 81 88 168 144 77 64 114 96 105
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 63 54 131 44 57 105 82 67 108 128 82 34 156 53 81 98 128 131 85 135 154 128 54 72 81
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 70 90 117 122 55 203 96 80 103 53 88 105 78 138 81 63 129 26 135 104 111 54 55 181 52
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 66 72 45 123 72 37 149 103 81 78 264 129 177 167 96 70 107 67 123 32 87 102 56 56 65
Character l e v e l o f w a t e r i n a b a r r e
Milliseconds 113 71 106 88 44 131 120 88 43 116 64 155 84 46 99 82 78 89 7 126 466 78 54 152 71
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 66 113 95 55 129 62 100 61 120 114 45 106 45 114 120 109 56 57 171 69 56 47 64 123 72
Character t h e a m o u n t o f l i q u i d p o u
Milliseconds 46 106 71 30 106 88 61 73 106 88 35 82 115 79 64 112 91 125 161 66 99 121 225 35 669
Character r e d i n t o i t ? W e s e e c h a n g
Milliseconds 103 46 106 111 104 72 62 82 87 128 97 265 96 118 225 111 105 70 154 111 105 102 44 124 54
Character e o c c u r i n g i n - -n -i - -g -n -i r i n g
Milliseconds 64 95 124 53 139 102 98 119 54 82 78 88 69 148 152 161 143 144 169 168 182 169 88 71 71
Character i n n e a r l y e v e r y t h i n g w e
Milliseconds 62 123 64 62 146 63 89 76 116 104 128 63 97 97 58 57 173 51 54 75 48 139 61 65 90
Character o b s e r r v e i -i - -e -v v e -e -v -r v e i n
Milliseconds 187 82 194 77 180 118 5 90 130 116 276 169 150 168 739 68 161 161 149 130 79 109 139 63 58
Character t h e w o r l d a n d u n i v e r s e , a
Milliseconds 86 45 58 72 90 71 89 88 89 111 87 95 99 44 156 61 171 61 90 59 173 59 138 80 91
Character n d p o w e r f u l m o d e r n i n s t r u
Milliseconds 102 65 80 103 91 61 36 68 155 24 102 127 135 47 64 73 82 78 98 110 63 55 115 36 155
Character m e n t s h e l p u s s e e m o r e a n
Milliseconds 162 87 84 76 62 114 136 62 73 47 137 155 94 88 95 54 155 105 78 55 75 69 107 146 86
Character d m o r e . I n t h i s s e c t i o n w
Milliseconds 77 98 35 81 99 54 88 62 223 152 64 101 71 87 81 71 149 77 184 194 95 53 38 65 98
Character e i n t r o d u c e t h e i d e a s o f
Milliseconds 46 87 156 62 90 53 89 122 128 87 62 123 93 73 47 98 113 62 55 56 89 104 171 61 77
Character a v e r a g e a n d i n s t a n t e -e a n e o
Milliseconds 82 115 119 71 178 88 95 96 150 91 80 79 71 64 81 62 68 149 88 228 381 126 123 143 104
Character u s r a t e s o f c h a n g e , a n d s
Milliseconds 78 107 127 102 64 139 76 80 63 131 63 73 129 80 143 79 122 53 122 80 106 111 87 63 98
Character h o w t h a t t h e y a r e c l o s e l y
Milliseconds 69 64 80 80 131 78 102 79 88 108 79 46 116 176 44 107 70 71 148 95 32 85 49 106 129
Character r e l a t e d t o t h e s l o p e o f
Milliseconds 127 79 72 130 76 65 88 81 68 150 77 84 68 45 58 55 126 93 28 65 56 81 190 100 89
Character a c u r v e a t a p o i n t P o n t
Milliseconds 44 134 60 122 61 141 68 122 87 97 61 97 95 73 54 181 72 52 99 128 128 145 52 75 111
Character h e c u r v e . W e g i v e p r e c i s e
Milliseconds 61 39 65 111 91 80 243 69 131 158 203 199 87 94 113 87 81 96 69 90 55 138 112 146 76
Character d e v e l o p m e n t s o f t h e s e i m
Milliseconds 131 117 56 179 79 87 28 57 131 86 72 92 78 86 116 53 57 121 54 164 67 81 99 68 57
Character p o r t a n t c o n c e p t s i n t h e n
Milliseconds 131 79 44 30 176 33 182 127 314 67 56 138 45 65 181 77 122 78 55 64 106 21 55 89 62
Character e x t c h a p t e r , f -f b u t f o r n o
Milliseconds 66 180 162 108 71 95 72 563 170 51 89 147 135 184 312 145 109 86 116 116 374 160 105 198 52
Character w w e u s e a n i n f o r m a l a p p r
Milliseconds 47 72 103 66 67 146 84 56 62 88 123 83 110 53 78 82 88 97 79 72 65 87 96 123 128
Character o a c h s o y o u w i l l s e e h o w
Milliseconds 126 96 105 145 94 186 77 84 126 94 72 47 72 97 56 133 76 96 37 150 98 133 45 47 97
Character t h e y l e a d n a t u r a l l y t o t h
Milliseconds 113 37 89 95 155 54 64 71 81 124 163 84 61 130 45 56 105 140 61 140 93 113 122 119 53
Character e m a i n i d e a o f t h i s c h a p t
Milliseconds 55 105 71 95 66 55 56 180 105 30 68 97 131 54 64 97 62 104 58 78 122 306 217 110 87
Character e r , t h e l i m i t . T h e i d e a o
Milliseconds 63 71 97 81 97 53 47 64 114 72 71 106 96 112 79 159 88 97 105 122 75 40 73 104 132
Character f a l i m i t p l a y s a f o u n d a t
Milliseconds 85 80 56 129 113 78 55 148 116 97 71 64 67 35 114 112 114 102 107 120 86 71 40 55 181
Character i o n a l r o l e t h o -o r o u g h o u t c
Milliseconds 76 56 38 89 89 64 122 70 89 104 96 131 52 541 415 223 67 91 122 112 31 740 82 114 79
Character a l c u l u s .
Milliseconds 104 52 117 154 352 79 105 79
WPM Timing
Seconds WPM
1.85 90.69
3.7 110.13
5.56 118.76
7.41 118.22
9.26 107.54
11.11 100.41
12.97 105.5
14.82 108.51
16.67 110.13
18.52 112.72
20.38 113.07
22.23 113.37
24.08 114.61
25.93 117.07
27.79 114.44
29.64 113.77
31.49 113.17
33.34 108.69
35.2 109.79
37.05 107.21
38.9 102.72
40.75 104.24
42.61 105.34
44.46 106.62
46.31 107.79
48.16 107.88
50.02 109.17
51.87 109.66
53.72 108.56
55.57 109.26
57.43 109.92
59.28 110.73
61.13 111.5
62.98 112.22
64.83 111.98
66.69 112.29
68.54 112.58
70.39 113.02
72.24 111.79
74.1 111.1
75.95 111.71
77.8 111.98
79.65 112.39
81.51 112.78
83.36 113.01
85.21 113.51
87.06 113.71
88.92 114.17
90.77 112.64
92.62 111.94