Settek (settek)

Race #31

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Official speed 106.67 wpm (97.20 seconds elapsed during race)
Without ending ping 106.75 wpm (73 ms delay sending score to TypeRacer’s server)
Timerless 107.05 wpm (274 ms elapsed before first character typed; 96.85 seconds elapsed during race)
Timerless minus one 106.93 wpm, ignoring the first character typed
Race Start March 26, 2024 3:00:02pm UTC
Race Finish March 26, 2024 3:01:39pm UTC
Outcome Win (1 of 3)
Opponents 2. lloyd_2020 (82.92 wpm)
Accuracy 98.3%
Points 288.00
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. tha 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 pbarrel 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 inuniverse, and powerful modern insturuments help us see more a nd more. In this seciton tion we introduce the ideas of average and instaneantaneous rates of change, and shjow ow that they are closely related to the slope of a curve at a point P on the curve. We give precise developments of these improtortant concepts in the next chapter, but for now we use an informal approach so you will see how they rllead nautrturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role ithouroughout calculus.
Timing
Character C a l c u l u s i s a t o o l . t h a -a -h
Milliseconds 274 137 96 107 162 198 167 71 74 53 78 71 94 85 6 104 130 175 6 64 87 103 58 200 156
Character -t - -. t h a t h e l p s u s u n d e r s t
Milliseconds 149 148 158 84 120 88 55 63 54 351 124 90 60 85 74 88 72 92 82 151 45 132 35 130 83
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 113 91 97 78 134 72 66 77 100 101 106 68 68 99 64 51 59 47 47 91 87 58 57 71 211
Character u a n t i t y i s r e l a t e d t o a c
Milliseconds 83 124 64 201 114 93 112 116 132 86 92 252 79 114 62 55 78 159 69 101 44 114 215 95 175
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 80 81 83 41 70 38 59 53 82 92 75 109 85 61 106 67 44 91 143 138 77 75 109 104 56
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 166 69 78 66 95 63 131 61 85 109 123 96 69 66 118 71 97 87 64 83 135 190 56 51 70
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 62 93 126 73 48 200 79 247 69 65 109 24 75 61 127 56 85 103 75 99 66 149 44 150 47
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 148 47 72 103 12 130 93 69 52 82 312 129 286 179 71 71 105 72 61 149 63 75 89 84 59
Character l e v e l o f w a t e r i n a p -p b a r
Milliseconds 60 37 60 118 83 69 112 40 92 92 89 69 140 56 67 39 49 128 417 90 139 259 240 211 116
Character r e l c h a n g e a s a f u n c t i o n
Milliseconds 153 290 100 85 106 93 53 102 17 78 56 124 59 83 102 82 60 69 50 100 153 36 141 54 53
Character o f t h e a m o u n t o f l i q u i d p
Milliseconds 116 46 60 111 28 87 86 109 0 133 90 141 65 64 62 89 66 92 159 66 148 74 66 77 133
Character o u r e d i n t o i t ? W e s e e c h a
Milliseconds 177 58 102 125 144 73 43 57 82 76 80 66 105 131 122 172 156 85 106 139 95 87 101 89 63
Character n g e o c c u r r i n g i n n e a r l y e
Milliseconds 114 25 61 58 134 65 148 229 116 116 171 72 61 74 95 47 94 144 48 54 67 107 92 70 97
Character v e r y t h i n g w e o b s e r v e i n t
Milliseconds 73 163 33 109 70 135 61 133 57 78 110 136 81 155 60 183 159 59 169 73 87 61 36 70 54
Character h e w o r l d a n d i n -n -i u n i v e r s e
Milliseconds 97 68 75 104 57 115 82 87 74 121 82 83 47 76 60 411 144 77 187 163 143 211 90 251 150
Character , a n d p o w e r f u l m o d e r n i n s
Milliseconds 127 121 176 115 96 93 210 157 66 124 32 166 37 61 61 149 260 106 145 67 129 94 159 68 62
Character t u -u r u m e n t s h e l p u s s e e m o
Milliseconds 145 126 423 79 99 221 114 84 86 152 86 113 86 124 58 57 128 70 80 244 147 87 109 17 72
Character r e a - n d m o r e . I n t h i s s e
Milliseconds 62 63 99 209 94 323 157 100 64 92 63 39 58 220 122 208 182 79 88 75 56 51 77 90 163
Character c i t o n - -n -o -t -i t i o n w e i n t r o d
Milliseconds 111 136 64 121 58 74 276 157 160 158 176 124 94 158 40 63 45 137 74 139 56 201 190 87 259
Character u c e t h e i d e a s o f a v e r a g e
Milliseconds 141 68 82 86 128 80 74 68 93 74 112 79 95 77 70 68 100 204 205 189 44 143 48 83 61
Character a n d i n s t a n e -e a n -n -a t a n e o u s r
Milliseconds 148 81 68 57 70 53 16 80 100 102 183 341 98 100 257 125 70 102 90 117 264 61 51 72 220
Character a t e s o f c h a n g e , a n d s h j o w
Milliseconds 87 89 54 161 82 56 72 71 149 103 81 108 78 71 113 105 118 125 67 66 120 64 4 47 72
Character - -w -o -j o w t h a t t h e y a r e c l o
Milliseconds 83 350 169 179 186 250 84 68 120 94 48 60 56 105 65 77 72 79 66 39 79 75 116 89 138
Character s e l y r e l a t e d t o t h e s l o p e
Milliseconds 37 131 128 102 73 158 59 119 104 56 129 173 129 105 73 73 84 74 53 96 98 73 181 191 87
Character o f a c u r v e a t a p o i n t P
Milliseconds 64 29 96 344 126 101 229 132 70 512 102 70 205 70 81 189 106 119 172 163 59 61 47 152 144
Character o n t h e c u r v e . W e g i v e p r e
Milliseconds 110 51 64 98 85 72 83 119 94 65 163 77 72 111 168 125 72 104 124 75 59 95 88 47 78
Character c i s e d e v e l o p m e n t s o f t h e s
Milliseconds 174 198 83 140 70 159 136 103 120 76 161 144 181 111 106 65 131 87 45 80 66 105 34 82 157
Character e i m p r o t -t -o -r o r t a n t c o n c e p t
Milliseconds 126 76 45 65 138 123 34 123 293 136 171 145 73 123 70 100 76 85 209 108 47 109 199 115 101
Character s i n t h e n e x t c h a p t e r , b u
Milliseconds 148 64 40 55 61 85 75 68 68 80 55 159 36 86 126 79 52 125 30 127 53 68 73 132 88
Character t f o r n o w w e u s e a n i n f o r
Milliseconds 98 79 103 105 68 85 69 63 43 91 163 144 77 118 68 138 75 110 74 88 84 63 103 114 64
Character m a l a p p r o a c h s o y o u w i l l
Milliseconds 103 69 105 76 98 107 119 89 102 144 160 91 135 154 87 45 186 123 40 44 107 80 155 115 69
Character s e e h o w t h e y r l -l -r l e a d n a u
Milliseconds 60 138 105 79 105 65 20 86 118 84 68 101 72 172 99 170 179 197 78 51 86 58 186 81 209
Character t r -r -t -u t u r a l l y t o t h e m a i n
Milliseconds 70 170 196 166 167 75 96 78 94 229 112 292 292 160 74 57 75 77 64 78 62 50 105 52 47
Character i d e a o f t h i s c h a p t e r , t h e
Milliseconds 148 26 141 51 45 85 72 62 96 72 45 52 58 80 89 64 124 42 146 60 74 95 189 98 71
Character l i m i t . T h e i d e a o f a l i m
Milliseconds 62 104 180 80 116 90 122 85 162 86 84 67 85 60 114 65 55 79 72 94 110 80 121 350 70
Character i t p l a y s a f o u n d a t i o n a l r
Milliseconds 126 82 59 126 65 37 83 176 81 96 84 56 67 37 160 21 93 98 121 160 52 77 121 41 130
Character o l e i -i t h o u -u -o r o u g h o u t c a l c
Milliseconds 82 135 64 55 86 302 107 79 257 77 499 134 67 119 40 101 95 141 52 39 74 147 108 37 146
Character u l u s .
Milliseconds 137 712 84 91 116
WPM Timing
Seconds WPM
1.94 104.94
3.89 74.08
5.83 90.54
7.78 104.94
9.72 106.18
11.66 111.11
13.61 113.76
15.55 113.43
17.5 117.29
19.44 116.05
21.38 116.73
23.33 113.17
25.27 115.86
27.22 116.85
29.16 116.88
31.1 117.29
33.05 118.38
34.99 119
36.93 115.99
38.88 115.13
40.82 113.17
42.77 112.8
44.71 112.19
46.65 110.86
48.6 108.89
50.54 109.45
52.49 109.74
54.43 107.59
56.37 108.13
58.32 106.18
60.26 107.33
62.21 107.64
64.15 106.44
66.09 106.76
68.04 107.06
69.98 106.83
71.93 106.11
73.87 106.4
75.81 107.32
77.76 107.87
79.7 107.95
81.65 108.47
83.59 106.95
85.53 106.2
87.48 107.41
89.42 107.63
91.37 107.96
93.31 108.54
95.25 107.21
97.2 106.67