Data Architect (data_architect)

Race #5

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Official speed 95.03 wpm (109.10 seconds elapsed during race)
Without ending ping 95.11 wpm (94 ms delay sending score to TypeRacer’s server)
Timerless 95.13 wpm (17 ms elapsed before first character typed; 108.99 seconds elapsed during race)
Timerless minus one 95.02 wpm, ignoring the first character typed
Race Start June 4, 2023 1:40:48am UTC
Race Finish June 4, 2023 1:42:38am UTC
Outcome No win (2 of 5)
Opponents 1. l502x (102.92 wpm)
3. burstylooooool (89.78 wpm)
Accuracy 97.9%
Points 256.57
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 undrerstand 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? hHow does the level of water in a barrel change as a function of the amount of liquid poured into it? We see change occuriring in nearly everything we observe in the world and universe, and powerful modern instrumens ts help us see more and more. iIn this seciton we tion we introduce the ideas of average and instanteaneous rates of change, and show that hey are they are closely related to the slpoope of a curve at a point P on the curve. We give prcirecise developments of these important concneepts in the next chapter, but for now we use an informal approach so you will se how te how they lead natruallurally to the main idea of this chpateapter, the limit. The idea of al imi limit plays a foundational role thougroughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 17 567 202 159 118 115 141 175 116 118 68 63 126 102 101 89 126 176 92 35 103 31 91 30 42
Character e l p s u s u n d r -r e r s t a n d h o w
Milliseconds 94 88 46 99 70 89 90 65 198 184 45 215 591 446 91 139 108 88 63 68 72 86 75 11 97
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 83 117 62 91 79 117 224 113 76 108 82 85 110 72 32 85 192 80 117 71 111 55 139 71 94
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 66 84 91 106 61 105 121 64 63 164 56 84 67 84 34 174 47 95 93 123 52 49 65 69 88
Character a n o t h e r . H o w d o e s t h e s p
Milliseconds 61 40 98 94 74 70 28 99 74 89 89 82 53 101 67 89 78 65 64 80 40 50 89 50 117
Character e e d o f a f a l l i n g o b j e c t c
Milliseconds 71 152 157 30 94 98 61 49 135 71 100 85 151 150 20 72 82 322 111 185 20 115 212 30 131
Character h a n g e a s a f u n c t i o n o f t i
Milliseconds 34 84 120 46 44 86 85 41 104 88 99 35 110 216 105 232 41 68 26 96 117 51 57 152 32
Character m e ? h -h H o w d o e s t h e l e v e l
Milliseconds 70 44 160 99 120 379 312 150 212 189 116 101 91 35 72 106 44 80 82 81 36 120 82 75 53
Character o f w a t e r i n a b a r r e l c h a n
Milliseconds 142 45 67 91 123 67 96 90 30 84 70 94 20 167 57 84 98 159 117 150 68 110 71 69 125
Character g e a s a f u n c t i o n o f t h e a
Milliseconds 37 38 76 85 65 107 84 99 67 202 343 127 234 31 52 45 84 115 41 103 202 47 65 78 109
Character m o u n t o f l i q u i d p o u r e d i n
Milliseconds 65 107 108 157 20 65 86 80 53 90 383 168 137 143 358 105 170 51 91 261 74 192 95 61 80
Character t o i t ? W e s e e c h a n g e o c c u
Milliseconds 72 87 90 158 169 234 124 365 80 98 130 136 156 81 70 92 51 132 85 56 58 153 77 159 96
Character r i -i r i n g i n n e a r l y e v e r y t h
Milliseconds 106 111 340 275 194 78 112 79 101 87 70 286 84 129 83 123 114 89 75 128 76 99 56 142 24
Character i n g w e o b s e r v e i n t h e w o r
Milliseconds 112 98 34 52 111 84 72 131 98 51 53 81 194 56 77 67 75 88 24 72 24 76 65 63 90
Character l d a n d u n i v e r s e , a n d p o w e
Milliseconds 111 70 94 19 70 48 73 143 153 106 41 167 101 100 103 212 118 344 68 94 104 113 83 70 60
Character r f u l m o d e r n i n s t r u m e n s - -s
Milliseconds 68 190 52 75 104 78 84 55 223 214 427 103 135 94 17 149 160 80 177 118 104 105 227 384 182
Character t s h e l p u s s e e m o r e a n d m
Milliseconds 436 113 112 151 94 89 57 532 119 64 88 107 111 149 44 78 87 31 46 81 61 70 27 97 93
Character o r e . i -i I n t h i s s e c i t o n w e
Milliseconds 67 35 63 130 92 188 538 172 110 66 110 52 48 58 80 92 128 112 211 10 53 36 70 73 84
Character - -e -w - -n -o -t -i t i o n w e i n t r o d u c
Milliseconds 84 251 166 157 152 144 165 153 154 213 79 51 62 126 197 67 99 94 80 71 171 53 98 103 107
Character e t h e i d e a s o f a v e r a g e a n
Milliseconds 74 106 61 40 43 84 66 54 183 96 102 102 142 71 83 106 145 112 97 118 81 44 87 103 91
Character d i n s t a n t e -e a n e o u s r a t e s o
Milliseconds 51 104 135 85 27 126 90 74 129 106 637 526 329 99 153 116 132 115 119 102 165 55 45 53 98
Character f c h a n g e , a n d s h o w t h a t h
Milliseconds 72 49 138 40 207 89 135 56 64 100 84 90 36 119 110 88 86 61 111 55 66 45 81 48 79
Character e y a r e - -e -r -a - -y -e -h t h e y a r e c
Milliseconds 33 159 55 51 52 82 56 423 500 83 83 83 83 155 155 141 317 128 84 93 308 64 89 29 122
Character l o s e l y r e l a t e d t o t h e s l p
Milliseconds 76 152 44 53 149 104 65 63 72 835 98 77 68 174 67 81 80 79 45 46 48 99 79 89 177
Character o -o -p o p e o f a c u r v e a t a p o
Milliseconds 36 441 230 305 39 84 81 134 76 94 76 127 51 129 71 193 73 66 95 118 98 52 156 328 62
Character i n t P o n t h e c u r v e . W e g i
Milliseconds 40 15 66 101 163 171 131 74 118 93 61 38 63 94 106 106 322 117 59 206 184 68 128 112 109
Character v e p r c i -i -c -r r e c i s e d e v e l o p m
Milliseconds 72 31 62 107 63 260 176 427 157 172 866 81 298 150 99 95 107 215 208 70 101 30 151 52 118
Character e n t s o f t h e s e i m p o r t a n t c
Milliseconds 81 98 38 112 94 90 44 94 101 23 95 54 123 83 57 118 61 48 73 153 84 39 156 107 116
Character o n c n e -e -n e p t s i n t h e n e x t c
Milliseconds 24 85 243 136 118 339 149 90 145 67 96 116 78 90 79 68 65 23 91 59 61 130 110 69 112
Character h a p t e r , b u t f o r n o w w e u s
Milliseconds 54 141 93 80 103 87 29 95 151 198 79 75 130 76 100 46 55 92 49 119 461 94 71 182 66
Character e a n i n f o r m a l a p p r o a c h s o
Milliseconds 82 95 116 80 95 74 108 21 124 79 90 84 76 63 87 81 128 60 124 94 103 94 93 103 102
Character y o u w i l l s e h o w t -t - -w -o -h - e
Milliseconds 87 125 94 72 52 47 79 66 133 92 8 81 121 63 84 43 93 131 310 151 174 140 159 158 75
Character h o w t h e y l e a d n a t r u a l l -l -l
Milliseconds 80 73 66 41 96 64 67 87 89 58 102 32 78 91 68 94 75 291 175 62 93 96 144 349 138
Character -a -u -r u r a l l y t o t h e m a i n i d e
Milliseconds 164 169 169 692 40 96 112 150 56 76 60 129 40 52 54 52 74 96 86 72 81 78 105 38 204
Character a o f t h i s c h p a t e -e -t -a -p a p t e r
Milliseconds 70 230 114 90 83 98 43 89 44 82 64 98 141 27 164 111 274 159 168 157 66 147 75 79 118
Character , t h e l i m i t . T h e i d e a o f
Milliseconds 128 184 157 68 73 80 95 70 108 133 120 158 107 121 66 78 85 217 84 153 78 76 99 59 74
Character a l i m i -i -m -i - -l l i m i t p l a y s a
Milliseconds 42 71 94 38 100 108 291 150 171 157 164 94 184 85 70 173 19 620 108 63 96 118 86 95 99
Character f o u n d a t i o n a l r o l e t h o u g -g
Milliseconds 106 67 95 52 152 45 65 126 10 98 31 173 125 89 69 100 194 118 135 76 60 89 92 68 371
Character -u -o r o u g h o u t c a l c u l u s .
Milliseconds 162 152 85 131 100 657 119 169 89 74 114 128 119 332 149 137 106 180 160 530
WPM Timing
Seconds WPM
2.18 76.99
4.36 98.99
6.55 93.49
8.73 100.36
10.91 109.99
13.09 116.4
15.27 115.49
17.46 117.55
19.64 113.04
21.82 116.59
24 115.99
26.18 117.32
28.37 114.22
30.55 112.35
32.73 110.36
34.91 111.02
37.09 113.87
39.28 113.04
41.46 112.01
43.64 108.61
45.82 109.2
48.01 107.74
50.19 104.01
52.37 104.95
54.55 105.59
56.73 103.01
58.92 104.08
61.1 101.94
63.28 101.08
65.46 100.82
67.64 99.88
69.83 100.02
72.01 100.49
74.19 97.7
76.37 97.89
78.55 98.84
80.74 98.69
82.92 99.13
85.1 99.84
87.28 99.95
89.46 99.53
91.65 97.68
93.83 98.09
96.01 97.49
98.19 97.4
100.37 96.96
102.56 96.3
104.74 96.93
106.92 95.62
109.1 95.03