Joey (joeyortiz2016)

Race #647

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Official speed 94.80 wpm (109.37 seconds elapsed during race)
Without ending ping 94.92 wpm (135 ms delay sending score to TypeRacer’s server)
Timerless 95.20 wpm (319 ms elapsed before first character typed; 108.91 seconds elapsed during race)
Timerless minus one 95.09 wpm, ignoring the first character typed
Race Start June 26, 2024 11:18:40pm UTC
Race Finish June 26, 2024 11:20:29pm UTC
Outcome Win (1 of 4)
Opponents 2. vaflakos (76.60 wpm)
Accuracy 97.1%
Points 255.97
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 toll tol 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 funcitontion 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 iring in nrealearly exeverything we observe in teh whe he world and unvieriverse, and powerful modern instruments help us esee more and more. In this section we introduce the ideas of avergaage and isntanstanteaneous 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 precusise deveolopments o fhf thseeesse important concepts in the next chapter, but for now we use an informal approcaach so you will see how tehy hey lead naturally to the main ideaio of this chapter, the limit. The idea of a limit plays a foundational erorole throughout clacalculus.
Timing
Character C a l c u l u s i s a t o l l t -t - -l -l o
Milliseconds 319 106 70 105 89 145 117 98 87 136 117 10 88 58 135 40 155 107 98 68 254 136 135 263 185
Character l t h a t h e l p s u s u n d e r s t a n
Milliseconds 147 184 99 87 58 59 78 135 118 68 136 68 78 96 50 78 117 57 30 78 98 96 127 58 89
Character d h o w a c h a n g e i n o n e q u a
Milliseconds 96 79 156 58 58 88 68 88 106 69 97 68 117 88 49 340 78 184 138 87 155 68 117 79 145
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 98 156 0 535 127 78 107 58 69 194 165 88 155 99 90 114 88 97 9 127 59 107 116 68 69
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 97 87 88 9 127 78 136 88 58 88 88 57 128 38 147 10 222 118 58 118 97 67 40 165 116
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 89 48 59 67 118 38 136 117 80 96 97 78 38 98 40 145 98 28 137 175 48 79 97 68 136
Character j e c t c h a n g e a s a f u n c i t o n
Milliseconds 79 77 60 183 59 136 69 76 70 97 49 79 106 97 0 155 30 321 116 49 69 193 11 135 11
Character -n -o -t -i t i o n o f t i m e ? H o w d o e
Milliseconds 311 138 125 107 146 98 58 38 186 97 78 58 107 59 68 88 155 213 205 108 88 117 145 78 39
Character s t h e l e v e l o f w a t e r i n a
Milliseconds 155 108 68 88 19 87 137 30 106 88 67 117 98 89 37 97 89 97 97 77 30 136 58 167 8
Character b a r r e l c h a n g e a s a f u n c t
Milliseconds 137 292 69 125 146 88 40 154 41 368 108 78 106 79 58 106 89 68 58 78 78 78 87 20 185
Character i o n o f t h e a m o u n t o f l i q u
Milliseconds 39 78 39 175 106 127 108 48 79 67 117 96 79 78 88 87 87 78 117 70 67 106 166 59 126
Character i d p o u r e d i n t o i t ? W e s e e
Milliseconds 128 125 79 145 106 196 58 77 137 49 127 58 97 69 106 214 60 164 166 146 96 216 97 164 128
Character c h a n g e o c c u r i n g i -i - -g -n -i r i
Milliseconds 87 88 67 50 126 38 108 68 126 40 565 223 107 87 59 78 97 116 224 117 129 125 126 147 87
Character n g i n n r e a l -l -a -e -r e a r l y e x e -e
Milliseconds 49 88 58 135 60 145 127 38 167 68 77 223 118 117 136 107 88 107 117 117 107 107 175 214 243
Character -x v e r y t h i n g w e o b s e r v e i n
Milliseconds 127 78 87 89 175 165 136 49 69 57 88 79 86 79 135 98 49 175 58 254 116 97 117 68 146
Character t e h w -w - -h h e - -e -h -e h e w o r l d a
Milliseconds 78 118 38 108 57 264 126 126 195 78 107 175 127 116 244 370 77 98 58 78 97 78 117 39 117
Character n d u n v i e r -r -e -i -v i v e r s e , a n d
Milliseconds 68 78 116 118 67 98 0 126 98 233 136 128 106 185 39 79 155 87 165 59 146 68 88 68 87
Character p o w e r f u l m o d e r n i n s t r u m e n
Milliseconds 97 108 19 186 78 135 49 117 107 87 78 19 156 89 86 146 108 48 29 166 136 49 165 88 107
Character t s h e l p u s e -e s e e m o r e a n d
Milliseconds 49 126 88 116 127 107 165 88 97 88 59 126 390 106 146 127 68 147 67 29 88 58 117 78 68
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 88 136 78 19 98 97 117 146 107 194 69 107 77 31 135 68 166 77 175 40 77 39 185 29 97
Character i n t r o d u c e t h e i d e a s o f a
Milliseconds 98 165 59 88 155 78 126 69 418 88 116 79 87 49 78 116 30 175 107 68 78 77 99 28 88
Character v e r g a -a -g a g e a n d i s n t a -a -t -n -s n
Milliseconds 97 117 87 234 117 272 127 59 67 78 107 117 79 86 69 116 78 0 146 146 254 145 137 107 331
Character s t a n t e -e a n e o u s r a t e s o f c h
Milliseconds 107 107 126 49 117 97 321 107 88 165 137 116 107 39 117 107 98 87 146 321 136 156 312 165 39
Character a n g e , a n d s h o w t h a t t h e y
Milliseconds 146 68 97 88 79 97 78 77 273 116 127 30 88 86 78 243 78 79 67 107 312 155 196 9 126
Character a r e c l o s e l y r e l a t e d t o t h
Milliseconds 78 78 79 48 107 68 147 57 175 30 136 40 232 156 59 126 127 77 146 107 117 59 176 38 126
Character e s l o p e o f a c u r v e a t a p
Milliseconds 12 125 68 87 546 175 379 107 127 78 68 68 97 89 97 116 165 59 116 70 98 86 49 87 137
Character o i n t P o n t h e c u r v e . W e g
Milliseconds 116 194 79 77 88 165 137 137 77 146 48 118 0 96 88 59 116 175 60 116 330 205 311 98 117
Character i v e p r e c u s -s -u i s e d e v e o -o l o p
Milliseconds 98 96 88 77 127 59 457 97 497 69 370 115 175 39 167 97 273 86 127 97 127 408 195 282 166
Character m e n t s o f h -h -f - f t h s e -e -s e e s -s
Milliseconds 156 87 97 78 127 10 136 117 126 127 204 136 127 108 86 89 87 88 214 253 126 165 88 215 350
Character -e s e i m p o r t a n t c o n c e p t s i n
Milliseconds 126 59 175 77 137 97 58 108 77 127 97 39 88 79 115 49 79 38 137 87 97 146 39 156 68
Character t h e n e x t c h a p t e r , b u t f o
Milliseconds 156 29 107 19 98 127 19 176 125 79 117 48 97 107 68 107 68 49 68 117 68 68 97 107 70
Character r n o w w e u s e a n i n f o r m a l
Milliseconds 86 59 155 49 78 49 165 97 98 116 39 157 77 117 48 146 137 58 78 39 204 127 98 86 99
Character a p p r o c a -a -c a c h s o y o u w i l l
Milliseconds 96 107 117 88 79 115 39 253 127 97 49 79 154 99 96 118 243 87 79 174 68 78 136 127 39
Character s e e h o w t e h y - -y -h -e h e y l e a d
Milliseconds 127 156 135 69 156 67 31 126 77 127 19 127 126 243 146 118 116 157 125 10 117 146 48 98 78
Character n a t u r a l l y t o t h e m a i n i d
Milliseconds 77 157 9 146 126 117 126 78 127 68 89 106 48 98 107 58 68 99 174 97 88 68 126 117 39
Character e a i o -o -i o f t h i s c h a p t e r , t
Milliseconds 174 89 136 0 467 135 99 106 97 79 107 88 68 10 165 59 98 105 126 117 98 78 97 108 253
Character h e l i m i t . T h e i d e a o f a l
Milliseconds 57 89 78 107 154 88 107 97 127 30 203 60 106 88 107 49 146 107 59 87 146 39 77 68 137
Character i m i t p l a y s a f o u n d a t i o n a l
Milliseconds 165 69 116 69 125 138 174 88 147 165 78 50 86 116 59 117 68 49 87 273 57 68 79 126 70
Character e r o -o -r -e r o l e t h r o u g h o u t c l
Milliseconds 95 235 0 88 349 127 127 126 88 146 67 176 106 109 107 106 176 107 68 106 78 89 68 156 116
Character a c -c -a -l a l c u l u s .
Milliseconds 38 185 322 127 125 107 79 117 78 145 137 98 68
WPM Timing
Seconds WPM
2.19 87.78
4.37 79.55
6.56 100.58
8.75 96.01
10.94 99.85
13.12 105.15
15.31 109.72
17.5 111.78
19.69 106.67
21.87 107.53
24.06 108.72
26.25 109.72
28.44 110.99
30.62 110.51
32.81 108.62
35 104.92
37.18 101.01
39.37 101.8
41.56 97.6
43.75 96.83
45.93 96.66
48.12 98
50.31 97.8
52.5 98.52
54.68 99.19
56.87 98.96
59.06 97.12
61.25 96.59
63.43 96.67
65.62 96.92
67.81 97.51
69.99 96.86
72.18 97.59
74.37 97.46
76.56 95.77
78.74 94.79
80.93 93.26
83.12 92.83
85.31 93.83
87.49 94.91
89.68 94.87
91.87 95.09
94.06 94.41
96.24 95.13
98.43 94.85
100.62 95.17
102.81 95.6
104.99 95.89
107.18 95.5
109.37 94.8