Suhas (suhasmaddali007)

Race #31205

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Official speed 101.86 wpm (101.79 seconds elapsed during race)
Without ending ping 102.14 wpm (284 ms delay sending score to TypeRacer’s server)
Timerless 102.31 wpm (164 ms elapsed before first character typed; 101.34 seconds elapsed during race)
Timerless minus one 102.19 wpm, ignoring the first character typed
Race Start May 15, 2023 11:53:14am UTC
Race Finish May 15, 2023 11:54:56am UTC
Outcome Win (1 of 4)
Opponents 2. str4tos (95.82 wpm)
3. ngerks (80.42 wpm)
Accuracy 97.7%
Points 275.02
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 i n another. Hw ow does the sspeed of a fallng 9ing oing ojbject change as a function f tof 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 occurrig ng in nearly eveyrrything we observe in teh whe world and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas os f average and instantaennneous 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 perrecise developments of these imporantant concepts in the next chapter, but for now we use an informal approach so you will see how they lead unnaturally to the main odeidea of the his is chpateapter, the limit. The idea of a limit plays a foundational role throughout clacalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 164 156 134 90 158 564 89 113 42 91 68 44 93 87 93 67 158 156 136 67 135 21 70 0 135
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 89 113 134 69 43 69 158 89 180 181 21 136 67 91 89 0 114 45 89 91 66 21 114 135 68
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 112 68 67 113 90 68 44 89 69 44 158 67 46 46 201 90 136 87 183 67 90 112 46 133 69
Character r e l a t e d t o a c h a n g e i - n
Milliseconds 68 134 68 90 90 44 46 158 44 113 0 113 224 91 135 67 90 91 89 45 68 202 248 339 155
Character a n o t h e r . H w - -w o w d o e s t h
Milliseconds 67 68 68 90 90 157 158 68 110 93 134 179 136 315 113 201 66 70 90 91 67 44 23 113 43
Character e s s -s p e e d o f a f a l l n g - -g -n
Milliseconds 45 69 135 225 449 181 113 134 136 67 112 204 0 134 68 134 68 24 155 114 67 67 316 135 134
Character 9 i n g o -o - -g -n -i -9 i n g o j -j b j e c t
Milliseconds 181 44 23 90 44 70 290 114 136 157 133 112 182 43 67 47 90 135 405 316 156 89 136 158 44
Character c h a n g e a s a f u n c t i o n f t -t
Milliseconds 159 43 92 90 89 69 43 116 64 45 136 89 68 134 135 46 182 44 43 23 20 206 21 181 270
Character - -f o f t i m e ? H o w d o e s t h e l
Milliseconds 134 136 225 91 21 136 44 45 45 181 112 203 111 69 90 113 66 91 89 22 115 43 248 45 159
Character e v e l o f w a t e r i n a b a r r e l
Milliseconds 43 158 69 43 92 156 67 23 136 134 69 110 69 21 68 46 90 90 71 177 112 135 133 115 135
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 157 359 91 90 90 66 67 70 135 67 21 115 65 68 89 182 22 134 69 44 45 22 203 45 69
Character t h e a m o u n t o f l i q u i d p o u r
Milliseconds 115 87 21 69 225 135 156 69 137 43 44 91 68 45 111 358 497 91 43 91 68 294 291 268 92
Character e d i n t o i t ? W e s e e c h a n g e
Milliseconds 158 113 69 88 44 158 0 518 158 45 202 68 246 203 22 136 44 114 136 246 135 67 113 67 68
Character o c c u r r i g - -g n g i n n e a r l y
Milliseconds 67 180 136 112 112 91 157 157 158 68 268 113 158 91 43 68 45 114 110 69 67 68 45 111 22
Character e v e y r -r -y r y t h i n g w e o b s e r v e
Milliseconds 115 135 112 67 0 384 134 89 113 136 44 91 90 0 68 90 66 68 246 115 133 45 92 203 66
Character i n t e h w -w - -h -e h e w o r l d a n d
Milliseconds 89 136 44 69 67 113 0 112 113 293 133 137 134 114 65 45 113 68 90 68 66 69 66 68 68
Character u n i v e r s e , a n d p o w e r f u l m
Milliseconds 68 90 135 45 90 135 89 66 70 112 68 67 68 44 69 112 68 88 45 69 113 67 89 22 249
Character o d e r n i n s t r u m e n t s h e l p u s
Milliseconds 68 43 136 68 67 66 159 66 70 45 111 68 179 91 90 68 68 45 223 92 89 179 90 113 91
Character s e e m o r e a n d m o r e . I n t h
Milliseconds 44 136 45 157 67 45 68 68 43 46 92 42 70 66 45 68 89 69 45 111 181 112 91 67 68
Character i s s e c t i o n w e i n t r o d u c e t
Milliseconds 45 44 68 114 18 183 180 44 45 21 46 69 67 90 113 44 91 135 91 134 136 67 134 68 113
Character h e i d e a s o s - -s f a v e r a g e a
Milliseconds 44 68 45 134 92 134 90 112 293 113 90 89 317 134 112 43 137 157 91 472 113 67 67 68 67
Character n d i n s t a n t a e n -n n -n -e n e o u s r a
Milliseconds 157 45 46 157 69 44 69 245 271 135 90 338 134 247 248 293 134 159 90 134 68 69 66 156 92
Character t e s o f c h a n g e , a n d s h o w t
Milliseconds 90 67 90 22 111 70 43 159 23 293 112 112 21 92 88 92 112 68 67 90 90 67 292 91 90
Character h a t t h e y a r e c l o s e l y r e l a
Milliseconds 91 65 45 45 114 44 44 137 46 112 68 22 45 178 93 179 20 47 90 136 44 90 68 90 112
Character t e d t o t h e s l o p e o f a c u r
Milliseconds 113 68 158 89 90 43 49 88 44 46 44 114 67 180 269 159 45 90 89 45 92 88 113 112 91
Character v e a t a p o i n t P o n t h e c u
Milliseconds 180 45 89 180 46 67 67 112 114 20 23 91 91 23 202 67 204 66 89 45 90 69 67 135 67
Character r v e . W e g i v e p e r -r -e r e c i s e
Milliseconds 113 178 46 92 89 157 159 43 113 112 68 69 66 136 69 0 470 113 89 69 180 89 68 21 90
Character d e v e l o p m e n t s o f t h e s e i m p
Milliseconds 137 158 89 66 46 181 90 180 157 44 90 67 45 115 67 44 112 91 68 90 67 68 89 45 89
Character o r a n -n -a t a n t c o n c e p t s i n t h
Milliseconds 45 92 156 91 270 112 113 68 43 70 66 156 70 66 22 159 113 66 68 23 135 45 68 90 67
Character e n e x t c h a p t e r , b u t f o r n
Milliseconds 68 67 68 44 204 111 68 135 91 66 158 112 136 67 45 44 158 68 90 67 112 67 70 43 68
Character o w w e u s e a n i n f o r m a l a p p
Milliseconds 67 68 21 159 91 23 89 68 19 93 135 111 137 67 68 90 89 135 112 113 292 203 136 111 135
Character r o a c h s o y o u w i l l s e e h o w
Milliseconds 114 113 66 161 0 154 181 177 116 156 114 66 20 160 89 181 90 89 114 44 181 44 114 113 21
Character t h e y l e a d u n -n -u n a t u r a l l y
Milliseconds 44 136 68 44 136 45 134 69 67 112 67 91 158 335 114 158 136 112 21 224 92 45 157 113 67
Character t o t h e m a i n o d e -e -d -o i d e a o f
Milliseconds 226 67 67 67 67 46 69 66 113 44 68 44 362 89 135 202 135 134 182 21 159 89 0 91 113
Character t h e - -e h i s - -s -i -h i s c h p a t e -e
Milliseconds 43 91 69 43 69 315 136 177 45 69 45 361 133 135 136 157 113 45 134 94 63 69 88 136 227
Character -t -a -p a p t e r , t h e l i m i t . T h e
Milliseconds 134 134 135 46 135 112 112 68 113 67 68 68 43 69 67 68 427 44 204 89 91 158 157 113 67
Character i d e a o f a l i m i t p l a y s a f
Milliseconds 112 67 159 22 406 179 44 24 66 112 159 180 67 112 136 67 112 68 113 112 90 24 133 68 113
Character o u n d a t i o n a l r o l e t h r o u g h o
Milliseconds 67 67 158 67 136 92 110 45 67 46 90 134 91 44 158 45 68 89 91 112 20 92 113 69 111
Character u t c l a c -c -a -l a l c u l u s .
Milliseconds 67 70 18 160 91 20 272 179 136 112 91 156 136 136 111 495 113 90
WPM Timing
Seconds WPM
2.04 88.42
4.07 103.16
6.11 117.89
8.14 120.84
10.18 114.36
12.21 107.09
14.25 104.42
16.29 100.21
18.32 92.35
20.36 92.55
22.39 90.03
24.43 93.33
26.46 96.13
28.5 97.26
30.54 99.42
32.57 97.26
34.61 96.4
36.64 96.93
38.68 96.8
40.71 96.38
42.75 94.88
44.79 96.99
46.82 99.18
48.86 100.21
50.89 102.1
52.93 103.61
54.96 101.52
57 101.47
59.04 99.6
61.07 100.6
63.11 101.73
65.14 102.42
67.18 103.42
69.22 103.85
71.25 103.41
73.29 104.47
75.32 104.35
77.36 105.02
79.39 106.1
81.43 105.51
83.47 106.1
85.5 105.26
87.54 104.87
89.57 103.83
91.61 102.17
93.64 102.26
95.68 102.09
97.72 102.67
99.75 102.98
101.79 101.86