yes (yesmaybeno)

Race #4607

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Official speed 106.10 wpm (97.72 seconds elapsed during race)
Without ending ping 106.34 wpm (221 ms delay sending score to TypeRacer’s server)
Timerless 107.06 wpm (658 ms elapsed before first character typed; 96.84 seconds elapsed during race)
Timerless minus one 106.94 wpm, ignoring the first character typed
Race Start January 24, 2024 3:46:40am UTC
Race Finish January 24, 2024 3:48:18am UTC
Outcome Win (1 of 3)
Accuracy 98.5%
Points 286.47
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 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 thhelp us see more and more. In this section we introduce the idea os s of average and instatnentenouaneous rates of change, and show that they are closely relatec d to the slope of a curve at a point P on the curve. We give precise developments of these important concept sin s in the henext chapter, but for now we use an informal approach so you will see how they lead naturally ot tto the main idea of this chapter, the limit. The idea of a limit plays a foundational role throuhghout claalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 658 164 83 127 61 139 93 84 60 55 100 57 125 72 96 68 138 170 59 72 107 32 68 28 62
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 102 109 97 123 48 62 90 53 87 107 50 180 57 157 61 345 95 71 70 64 60 52 85 110 86
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 61 128 64 101 42 172 18 80 114 96 102 99 61 70 144 49 150 80 112 86 103 81 114 78 96
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 63 134 56 140 95 55 109 206 69 105 38 88 73 92 104 84 96 71 106 142 65 92 103 34 141
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 88 56 69 82 96 47 93 59 186 138 89 133 100 84 101 72 49 123 71 96 51 146 98 81 160
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 161 45 87 75 68 88 73 51 148 55 143 114 29 77 50 94 74 137 78 209 154 51 148 73 94
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 89 49 159 95 117 135 74 90 85 85 82 180 101 155 43 70 96 20 138 122 122 106 112 58 57
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 221 126 186 145 100 97 133 64 125 77 41 100 77 81 29 80 58 137 135 76 37 160 27 107 62
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 122 99 153 27 40 100 73 49 76 106 109 243 109 175 151 69 66 158 70 99 94 37 144 96 82
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 141 64 104 87 88 74 175 69 135 60 65 76 73 81 85 54 127 37 67 88 95 85 128 102 174
Character t o f l i q u i d p o u r e d i n t o i
Milliseconds 26 79 64 58 82 87 73 71 122 76 54 114 200 88 117 64 629 193 41 66 84 97 49 93 67
Character t ? W e s e e c h a n g e o c c u r r i n
Milliseconds 83 214 103 135 107 139 86 119 192 99 113 97 66 91 54 145 37 148 40 197 137 134 188 82 73
Character g i n n e a r l y e v e r y t h i n g w e
Milliseconds 72 65 653 102 83 86 87 55 73 58 119 98 135 153 155 64 78 127 71 57 166 53 88 378 52
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 54 143 45 201 30 72 197 155 69 78 85 102 60 83 89 88 135 116 145 55 131 54 112 66 81
Character u n i v e r s e , a n d p o w e r f u l m
Milliseconds 55 74 216 55 44 162 83 152 80 75 63 60 117 29 92 130 94 70 78 40 192 43 102 136 131
Character o d e r n i n s t r u m e n t s t h -t -h h e l
Milliseconds 89 30 200 63 86 80 75 107 36 47 169 68 182 83 71 71 142 51 165 153 278 0 199 85 88
Character p u s s e e m o r e a n d m o r e . I
Milliseconds 120 123 51 80 73 158 148 159 53 96 74 40 39 75 101 84 67 44 85 61 26 43 178 90 195
Character n t h i s s e c t i o n w e i n t r o d u
Milliseconds 140 110 51 104 66 24 125 126 73 215 184 42 47 94 52 91 48 94 231 68 32 170 40 135 47
Character c e t h e i d e a o s - -s -o - s o f a
Milliseconds 160 182 33 130 50 102 42 86 111 167 67 46 74 97 96 342 160 156 162 100 57 100 59 73 534
Character v e r a g e a n d i n s t a t n e -e -n -t n t e
Milliseconds 139 164 57 122 90 128 56 99 105 33 88 59 79 17 86 146 58 64 136 322 162 157 207 39 308
Character n o u -u -o -n -e a n e o u s r a t e s o f c h
Milliseconds 66 152 70 335 153 163 532 161 66 87 94 75 56 79 115 122 93 120 115 148 92 72 94 111 90
Character a n g e , a n d s h o w t h a t t h e y
Milliseconds 72 90 59 149 77 60 44 128 47 79 139 60 57 68 58 110 78 168 85 80 124 86 103 80 100
Character a r e c l o s e l y r e l a t e c - -c d t
Milliseconds 83 31 80 123 125 79 164 53 51 90 119 126 117 47 155 82 55 89 190 45 409 199 162 63 126
Character o t h e s l o p e o f a c u r v e a t
Milliseconds 14 105 94 68 76 72 137 51 195 99 103 49 92 19 125 30 132 146 145 66 203 137 83 109 85
Character a p o i n t P o n t h e c u r v e .
Milliseconds 61 115 81 113 68 107 43 88 134 172 152 112 91 42 131 75 82 79 122 83 80 221 181 43 64
Character W e g i v e p r e c i s e d e v e l o p m e
Milliseconds 205 166 75 91 93 87 149 132 1135 50 82 191 132 103 66 63 141 171 152 141 71 172 99 111 91
Character n t s o f t h e s e i m p o r t a n t c o
Milliseconds 182 88 161 64 64 46 93 100 67 58 184 88 48 109 125 57 60 86 156 108 76 78 99 161 72
Character n c e p t s i n - -n -i -s - s i n t h e h
Milliseconds 44 79 201 20 128 149 0 80 70 75 418 155 162 165 191 126 33 96 77 88 85 81 106 29 52
Character e -h -e n e x t c h a p t e r , b u t f o r
Milliseconds 121 344 0 182 34 186 177 56 145 77 103 96 51 174 44 59 52 120 146 164 123 230 71 112 31
Character n o w w e u s e a n i n f o r m a l a p
Milliseconds 78 79 54 98 284 85 55 112 148 53 77 101 96 96 101 234 200 109 96 68 123 81 55 101 102
Character p r o a c h s o y o u w i l l s e e h o
Milliseconds 148 105 174 124 168 51 96 105 71 74 59 124 72 87 68 94 154 154 34 95 78 199 96 81 65
Character w t h e y l e a d n a t u r a l l y o t
Milliseconds 132 68 115 83 115 77 114 128 86 120 148 25 71 151 80 138 68 84 98 161 119 112 184 3 112
Character t -t -o -t - t o t h e m a i n i d e a o f
Milliseconds 130 313 371 0 0 229 47 69 100 53 87 66 67 106 86 110 98 84 47 173 62 11 106 67 66
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 139 45 58 36 117 104 123 40 146 79 159 59 38 62 99 74 199 98 106 73 124 106 124 143 124
Character T h e i d e a o f a l i m i t p l a y s
Milliseconds 191 104 69 55 79 71 162 63 46 83 50 100 73 92 107 86 95 131 78 86 56 173 93 112 54
Character a f o u n d a t i o n a l r o l e t h r o
Milliseconds 92 102 81 157 97 42 181 176 194 75 66 77 60 134 130 124 199 51 169 81 44 106 126 85 64
Character u h -h g h o u t c l a -a -l a l c u l u s .
Milliseconds 62 175 508 128 71 138 65 64 79 144 160 31 430 145 85 132 75 79 151 88 24 134
WPM Timing
Seconds WPM
1.95 85.96
3.91 113.59
5.86 116.66
7.82 119.73
9.77 121.57
11.73 122.8
13.68 124.56
15.64 122.8
17.59 121.44
19.54 122.8
21.5 121.68
23.45 122.8
25.41 123.75
27.36 121.05
29.32 120.34
31.27 118.58
33.22 117.74
35.18 117.68
37.13 118.28
39.09 118.81
41.04 117.25
43 117.78
44.95 118
46.91 116.92
48.86 114.45
50.81 113.12
52.77 109.38
54.72 109.64
56.68 110.52
58.63 110.93
60.59 109.93
62.54 110.33
64.49 110.15
66.45 108.9
68.4 108.42
70.36 108.82
72.31 107.87
74.27 106.48
76.22 106.58
78.18 106.84
80.13 106.63
82.08 107.01
84.04 107.24
85.99 106.06
87.95 106.84
89.9 106.92
91.86 107.52
93.81 107.45
95.76 107.01
97.72 106.1