Timmy (chet09)

Race #21774

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Official speed 96.35 wpm (107.61 seconds elapsed during race)
Without ending ping 96.98 wpm (696 ms delay sending score to TypeRacer’s server)
Timerless 97.53 wpm (603 ms elapsed before first character typed; 106.31 seconds elapsed during race)
Timerless minus one 97.41 wpm, ignoring the first character typed
Race Start February 24, 2025 8:56:41pm UTC
Race Finish February 24, 2025 8:58:28pm UTC
Outcome Win (1 of 4)
Opponents 2. kingvince160 (94.61 wpm)
4. melomuncher (87.15 wpm)
Accuracy 98.9%
Points 260.14
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 chancege in one quantity is related to a chancge in another. How does the speed of a falling object change as a function of time? How does the leve of wll of water in a barrel change a a fs a as a function of the amount of liquid poured into it? We see chnange occurring in nearly earyverything we observe in the world and universe, and powerful modern insturuments help us see more and more. In this section we intorroduce 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.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 603 187 109 169 93 76 279 172 110 186 94 76 78 78 106 109 124 155 109 95 78 62 62 63 64
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 108 77 63 94 94 77 63 139 189 76 61 142 77 235 93 92 16 172 61 79 62 61 141 154 139
Character c h a n c e -e -c g e i n o n e q u a n t i t
Milliseconds 141 76 78 77 77 201 388 127 92 32 48 109 47 79 79 77 76 93 200 111 77 95 172 93 77
Character y i s r e l a t e d t o a c h a n c -c g
Milliseconds 140 109 298 171 94 206 62 109 108 65 107 93 125 170 63 61 79 79 402 108 92 79 32 545 172
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 140 124 155 47 77 217 47 63 92 109 62 63 14 110 187 139 62 154 170 80 108 78 30 110 93
Character e s p e e d o f a f a l l i n g o b j e
Milliseconds 16 139 94 108 125 186 79 92 187 140 124 109 77 78 108 78 154 126 77 62 63 76 108 249 249
Character c t c h a n g e a s a f u n c t i o n o
Milliseconds 232 63 126 170 63 62 110 76 95 200 123 125 0 123 62 325 95 153 93 48 62 46 77 221 266
Character f t i m e ? H o w d o e s t h e l e v e
Milliseconds 124 93 109 48 76 45 218 389 280 157 64 108 94 63 107 109 16 46 109 78 78 156 47 155 78
Character o f w -w -o -f - l -l - l o f w a t e r i n
Milliseconds 124 140 62 78 156 373 140 0 0 390 345 138 283 138 188 123 48 170 63 107 94 79 60 141 62
Character a b a r r e l c h a n g e a a f -f - -a
Milliseconds 95 111 92 170 153 218 171 156 95 92 156 63 79 93 47 93 92 96 125 62 93 141 342 170 140
Character - -a s a - -a - -s a s a f u n c t i o n o
Milliseconds 171 141 78 77 77 141 342 153 156 155 232 172 154 31 140 140 172 156 46 62 63 46 63 92 156
Character f t h e a m o u n t o f l i q u i d p o
Milliseconds 94 62 109 29 127 108 154 63 109 125 46 201 109 93 77 109 78 77 186 93 47 141 78 137 189
Character u r e d i n t o i t ? W e s e e c h n -n
Milliseconds 61 49 77 171 109 123 64 93 46 108 125 107 310 61 202 421 123 141 202 126 107 110 92 187 481
Character a n g e o c c u r r i n g i n n e a r l y
Milliseconds 202 48 169 156 110 155 138 109 124 79 248 154 77 62 93 109 62 125 265 108 63 78 62 93 48
Character e a r y -y -r -a v e r y t h i n g w e o b s e r
Milliseconds 309 124 140 140 373 156 155 92 108 77 78 185 93 110 92 78 108 109 94 63 263 77 157 48 77
Character v e i n t h e w o r l d a n d u n i v e
Milliseconds 169 171 143 138 63 94 124 77 62 108 77 109 31 123 78 78 124 0 294 93 201 158 91 64 139
Character r s e , a n d p o w e r f u l m o d e r n
Milliseconds 92 125 109 248 62 125 94 77 77 95 125 109 14 79 140 62 63 109 77 94 78 171 62 109 92
Character i n s t u -u r u m e n t s h e l p u s s e e
Milliseconds 125 78 156 94 374 591 109 124 172 126 61 126 91 79 217 109 78 46 108 141 63 76 124 217 155
Character m o r e a n d m o r e . I n t h i s s
Milliseconds 77 108 78 77 16 79 217 31 142 46 46 95 92 62 124 94 214 173 47 62 78 48 77 32 186
Character e c t i o n w e i n t o r -r -o r o d u c e t
Milliseconds 95 217 31 31 31 31 154 279 78 78 311 62 361 94 110 651 345 169 109 901 92 140 107 77 140
Character h e i d e a s o f a v e r a g e a n d i
Milliseconds 77 64 79 141 46 62 78 155 107 187 62 108 124 126 169 77 109 63 93 78 157 95 30 124 94
Character n s t a n t a n e o u s r a t e s o f c h a
Milliseconds 78 78 46 47 76 621 79 126 438 266 78 155 63 202 77 92 80 46 93 187 94 77 140 33 140
Character n g e , a n d s h o w t h a t t h e y a
Milliseconds 46 157 91 110 78 356 77 124 109 126 77 63 109 123 63 124 31 62 94 63 124 78 109 139 63
Character r e c l o s e l y r e l a t e d t o t h e
Milliseconds 109 79 92 281 78 107 77 47 124 15 171 402 48 124 153 64 122 62 156 185 93 46 45 124 32
Character s l o p e o f a c u r v e a t a p o
Milliseconds 109 108 93 264 93 170 95 108 93 62 77 64 560 107 62 187 138 124 187 123 93 15 170 218 108
Character i n t P o n t h e c u r v e . W e g i
Milliseconds 77 32 77 110 142 170 141 77 30 48 107 47 93 139 108 78 186 78 92 63 247 140 62 157 62
Character v e p r e c i s e d e v e l o p m e n t s o
Milliseconds 154 46 125 140 79 77 186 93 157 47 94 170 153 109 95 46 216 77 185 78 123 30 140 62 154
Character f t h e s e i m p o r t a n t c o n c e p t
Milliseconds 62 63 109 94 48 124 92 76 174 62 79 94 140 0 141 47 111 188 221 78 77 47 143 78 124
Character s i n t h e n e x t c h a p t e r , b u
Milliseconds 110 76 139 63 63 140 61 108 16 141 62 248 47 156 218 139 62 140 156 154 62 63 47 94 93
Character t f o r n o w w e u s e a n i n f o r
Milliseconds 110 92 108 93 94 46 108 62 61 109 95 77 63 141 92 31 109 187 46 140 123 62 110 79 109
Character m a l a p p r o a c h s o y o u w i l l
Milliseconds 47 124 77 142 188 62 140 123 63 200 125 76 92 140 64 61 109 92 47 91 62 77 156 140 108
Character s e e h o w t h e y l e a d n a t u r a l
Milliseconds 15 203 140 62 108 62 95 45 157 46 124 15 109 94 77 110 93 78 108 77 62 123 77 63 62
Character l y t o t h e m a i n i d e a o f t h
Milliseconds 155 62 63 140 0 94 46 76 109 32 108 110 82 73 46 125 168 79 45 141 262 126 15 155 32
Character i s c h a p t e r , t h e l i m i t . T h
Milliseconds 63 124 32 515 76 109 61 295 141 75 109 110 310 78 220 92 156 94 47 125 107 123 63 139 108
Character e i d e a o f a l i m i t p l a y s a
Milliseconds 95 46 140 93 77 108 92 157 77 31 78 93 295 77 62 109 63 124 108 110 108 108 94 61 109
Character f o u n d a t i o n a l r o l e t h r o u g
Milliseconds 47 170 77 78 47 139 107 92 234 46 31 124 93 92 205 63 185 109 63 124 62 108 31 63 92
Character h o u t c a l c u l u s .
Milliseconds 63 186 32 123 77 109 96 16 171 355 108 348 107 78
WPM Timing
Seconds WPM
2.15 61.33
4.3 94.79
6.46 100.36
8.61 97.58
10.76 98.13
12.91 92
15.07 97.18
17.22 98.97
19.37 98.51
21.52 98.13
23.67 98.34
25.83 90.61
27.98 91.36
30.13 89.21
32.28 84.75
34.43 87.12
36.59 88.56
38.74 87.97
40.89 86.57
43.04 87.26
45.2 86.03
47.35 87.19
49.5 87.52
51.65 89.21
53.8 87.87
55.96 89.21
58.11 90.25
60.26 88.02
62.41 87.67
64.56 88.66
66.72 87.77
68.87 88.52
71.02 89.55
73.17 89.87
75.33 90.01
77.48 90.3
79.63 90.87
81.78 91.27
83.93 91.93
86.09 92.56
88.24 93.43
90.39 93.86
92.54 94.4
94.69 95.42
96.85 96.15
99 95.76
101.15 96.33
103.3 96.65
105.46 97.18
107.61 96.35