Eran (umm_eran)

Race #15117

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Official speed 103.77 wpm (99.91 seconds elapsed during race)
Without ending ping 104.01 wpm (227 ms delay sending score to TypeRacer’s server)
Timerless 104.52 wpm (492 ms elapsed before first character typed; 99.19 seconds elapsed during race)
Timerless minus one 104.40 wpm, ignoring the first character typed
Race Start November 6, 2023 12:55:23pm UTC
Race Finish November 6, 2023 12:57:03pm UTC
Outcome Win (1 of 5)
Opponents 2. thelastmuffin (103.11 wpm)
3. vividkun (101.68 wpm)
4. elagon (101.12 wpm)
Accuracy 98.7%
Points 280.17
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 Ccalculus is a tool that helps up us understand how a chnge ange in one quantity is related to a change in another. How does the speed of a failling object change as a function of time? How does the level of water in a barrel change as a function of the moamoutnt of liquid poured into it? We see change occurring in nearly everything we obvserve in the world and universe, and poweful rful modern instruments help us see more and more. In this section we introduce the ideas of average and instantenaneous 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 preceisise developments of these important concepts in the next chapter, bur t for now we use an informal approach so you will see how they lead naturally to the main idea of thischa chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character C c -c a l c u l u s i s a t o o l t h a t
Milliseconds 492 441 5637 626 24 171 32 103 164 150 82 75 98 83 142 67 152 59 142 174 85 94 83 50 30
Character h e l p s u p u -u - -p s u n d e r s t a n
Milliseconds 68 63 108 89 59 123 81 111 58 63 187 348 108 155 149 83 89 90 85 190 60 149 101 106 62
Character d h o w a c h n g e - -e -g -n a n g e i n
Milliseconds 102 62 62 78 36 101 91 62 164 50 167 118 59 55 318 131 157 150 148 60 135 76 0 126 80
Character o n e q u a n t i t y i s r e l a t e d
Milliseconds 82 66 72 96 48 191 62 120 66 177 13 147 85 96 141 67 116 164 55 117 84 41 50 187 77
Character t o a c h a n g e i n a n o t h e r . H
Milliseconds 53 79 87 114 59 145 53 144 23 106 85 40 114 47 78 49 78 77 119 72 75 97 94 65 126
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 129 101 103 96 56 117 92 88 121 57 93 94 64 90 84 153 177 72 71 35 126 302 114 122 51
Character i -i l l i n g o b j e c t c h a n g e a s
Milliseconds 60 411 209 154 73 75 111 86 148 67 218 122 31 225 61 139 68 111 66 114 73 124 118 59 138
Character a f u n c t i o n o f t i m e ? H o w d
Milliseconds 83 85 121 83 118 78 254 26 55 49 94 236 166 66 136 57 49 89 151 80 147 174 77 118 101
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 106 66 84 85 126 67 100 84 60 67 106 88 87 84 127 40 130 67 90 36 104 103 112 72 91
Character a b a r r e l c h a n g e a s a f u n
Milliseconds 57 101 66 130 119 135 170 100 95 64 185 71 145 29 98 86 72 111 73 122 111 80 176 132 71
Character c t i o n o f t h e m o -o -m a m o u t -t n t
Milliseconds 112 228 77 80 31 86 90 83 87 126 74 99 50 109 75 490 228 160 103 77 62 149 333 160 73
Character o f l i q u i d p o u r e d i n t o i t
Milliseconds 68 57 109 39 109 95 127 86 85 121 72 95 203 76 97 140 171 73 77 84 90 49 88 95 76
Character ? W e s e e c h a n g e o c c u r r i n g
Milliseconds 190 69 120 191 127 79 46 161 82 94 94 56 114 61 70 40 26 164 140 125 97 152 82 73 107
Character i n n e a r l y e v e r y t h i n g w e
Milliseconds 49 76 74 96 72 75 75 25 121 72 80 98 79 120 115 88 94 108 96 92 61 99 61 41 135
Character o b v -v s e r v e i n t h e w o r l d a n
Milliseconds 127 88 187 264 50 53 58 205 23 116 59 106 61 123 101 64 112 48 52 73 115 77 35 122 36
Character d u n i v e r s e , a n d p o w e f u l -
Milliseconds 131 13 62 86 102 114 54 143 71 82 72 66 81 88 60 70 100 94 58 60 228 48 53 77 292
Character -l -u -f r f u l m o d e r n i n s t r u m e n t
Milliseconds 155 131 148 205 190 27 84 101 143 40 107 174 75 79 60 92 75 98 47 46 114 391 157 55 145
Character s h e l p u s s e e m o r e a n d m o
Milliseconds 82 60 70 99 108 96 78 234 103 89 111 122 147 56 42 89 114 35 92 108 13 134 47 80 51
Character r e . I n t h i s s e c t i o n w e i n
Milliseconds 120 79 78 87 115 187 85 96 91 57 50 90 84 89 115 221 85 52 75 84 88 68 115 88 87
Character t r o d u c e t h e i d e a s o f a v e r
Milliseconds 100 43 47 199 97 147 41 157 96 87 51 81 84 62 189 116 107 60 33 132 60 133 206 94 105
Character a g e a n d i n s t a n t e n -n -e a n e o u s
Milliseconds 146 88 28 96 98 61 110 52 93 87 82 216 94 124 85 69 254 251 120 96 111 195 105 41 124
Character r a t e s o f c h a n g e , a n d s h o
Milliseconds 92 142 87 91 86 46 100 60 64 84 132 64 96 70 109 65 76 86 59 84 106 80 107 99 71
Character w t h a t t h e y a r e c l o s e l y r
Milliseconds 24 150 68 115 40 55 107 72 92 110 71 55 125 32 77 29 130 47 162 41 78 107 111 76 119
Character e l a t e d t o t h e s l o p e o f a
Milliseconds 91 82 95 37 50 198 102 71 98 71 46 137 31 111 33 257 171 197 83 83 77 74 83 105 51
Character c u r v e a t a p o i n t P o n t h e
Milliseconds 257 90 123 177 71 120 86 65 89 177 54 120 68 63 205 71 122 96 275 126 84 81 66 86 64
Character c u r v e . W e g i v e p r e c e i s -s -i
Milliseconds 70 187 71 130 245 79 83 80 173 203 88 95 76 102 48 82 55 112 63 155 125 59 152 237 267
Character -e i s e d e v e l o p m e n t s o f t h e s
Milliseconds 166 212 88 29 113 111 149 138 101 52 169 68 165 119 119 80 58 74 49 102 67 99 97 64 82
Character e i m p o r t a n t c o n c e p t s i n t
Milliseconds 83 111 81 110 60 53 120 167 128 4 132 77 132 54 63 85 62 125 76 111 75 82 89 72 90
Character h e n e x t c h a p t e r , b u r - -r t
Milliseconds 68 40 109 51 73 238 61 102 152 67 84 94 108 50 135 95 75 140 54 106 84 384 110 114 109
Character f o r n o w w e u s e a n i n f o r m a
Milliseconds 74 78 105 65 100 64 4 134 61 74 121 64 95 54 80 256 124 81 92 144 184 90 116 53 121
Character l a p p r o a c h s o y o u w i l l s e
Milliseconds 74 109 91 50 158 109 75 96 72 94 74 122 129 160 170 69 36 69 88 114 154 150 143 192 64
Character e h o w t h e y l e a d n a t u r a l l y
Milliseconds 157 113 95 65 52 92 98 55 125 84 30 140 88 72 144 77 87 30 86 130 70 104 47 143 64
Character t o t h e m a i n i d e a o f t h i s
Milliseconds 102 79 86 71 61 93 78 58 96 82 109 85 62 92 102 187 90 69 59 88 103 96 53 83 3
Character c h a -a -h -c c h a p t e r , t h e l i m i t
Milliseconds 208 142 74 307 72 160 213 145 75 84 85 85 100 110 94 66 111 83 71 43 78 78 127 93 129
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 134 59 100 93 84 86 125 68 176 96 62 79 76 97 66 98 104 91 99 112 85 99 53 48 96
Character y s a f o u n d a t i o n a l r o l e t h
Milliseconds 130 265 114 92 78 366 101 53 81 89 80 83 122 39 62 125 129 72 124 84 142 107 64 99 95
Character r o u g h o u t c a l c u l u s .
Milliseconds 73 84 31 87 18 131 37 66 121 206 155 108 282 297 110 105 101 101
WPM Timing
Seconds WPM
2 6.01
4 3
5.99 2
7.99 13.51
9.99 37.23
11.99 41.04
13.99 44.61
15.99 54.8
17.98 62.72
19.98 70.26
21.98 73.15
23.98 74.06
25.98 77.61
27.98 80.21
29.97 84.07
31.97 85.95
33.97 86.55
35.97 85.41
37.97 87.23
39.97 88.88
41.96 90.94
43.96 91.99
45.96 94.26
47.96 92.58
49.96 93.44
51.95 94.47
53.95 95.86
55.95 97.16
57.95 97.74
59.95 96.88
61.95 98.21
63.94 99.84
65.94 100.63
67.94 100.85
69.94 101.06
71.94 101.25
73.94 99.98
75.93 100.82
77.93 101.78
79.93 101.34
81.93 101.8
83.93 102.23
85.93 102.37
87.92 103.18
89.92 103.69
91.92 103
93.92 103.62
95.92 103.46
97.92 104.29
99.91 103.77