SnappyFear (snappyfear1)

Race #4

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Official speed 93.14 wpm (111.32 seconds elapsed during race)
Without ending ping 93.31 wpm (203 ms delay sending score to TypeRacer’s server)
Timerless 93.64 wpm (393 ms elapsed before first character typed; 110.72 seconds elapsed during race)
Timerless minus one 93.53 wpm, ignoring the first character typed
Race Start December 11, 2023 11:45:27am UTC
Race Finish December 11, 2023 11:47:18am UTC
Outcome Win (1 of 5)
Opponents 2. shahbar91 (82.70 wpm)
3. soumya4193 (81.66 wpm)
Accuracy 98.5%
Points 251.48
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 chance ince nge in one quantity is related to a chancge in another. How does the speed of a feelinalling object change as a function of time? How does the level of water in a barrleel change as a function of the amount of liquid poured into it? We see change occurring in rnearly everything we observe in the world and universe, and p owerowerful modern instruments help us see more and more. In this section we introduce the ideas of average and instantaneous rates of chanfege, and show that they are closelty y y related to the slope of a curve at a point P on the curve. wWe ghivgive precise dfeevelopments of these important concepts in the next chapter, but for now we use an informal approach so yo wiou will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit aplays 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 393 119 104 113 207 889 191 120 58 71 80 80 81 79 80 73 137 87 192 95 65 72 48 40 120
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 136 40 72 87 105 96 87 72 120 72 64 97 56 151 161 119 120 64 113 63 88 97 88 184 104
Character c h a n c e i n -n -i - -e -c c e - -e -c n -n g e
Milliseconds 72 136 41 166 128 81 71 120 81 192 160 135 136 152 617 72 96 320 152 343 257 344 264 95 96
Character i n o n e q u a n t i t y i s r e l a t e
Milliseconds 97 79 153 119 57 95 96 106 55 113 49 231 103 113 152 64 71 96 80 96 89 104 128 79 71
Character d t o a c h a n c -c g e i n a n o t h e
Milliseconds 146 72 111 23 162 143 112 112 112 96 111 56 281 120 88 63 111 82 159 48 97 80 47 137 151
Character r . H o w d o e s t h e s p e e d o f
Milliseconds 48 32 193 151 65 111 65 96 56 87 64 63 138 72 88 87 89 72 87 128 152 81 79 33 152
Character a f e e l i n -n -i -l -e -e a l l i n g o b j e c
Milliseconds 56 119 56 144 129 80 176 72 160 167 136 128 145 159 80 138 166 65 72 96 89 207 88 96 135
Character t c h a n g e a s a f u n c t i o n o f
Milliseconds 184 89 207 97 63 106 47 87 112 81 72 112 96 95 72 112 80 97 167 65 159 48 161 56 79
Character t i m e ? H o w d o e s t h e l e v e l
Milliseconds 97 71 55 81 121 159 200 416 104 80 80 80 88 64 72 57 127 40 120 24 160 72 120 65 47
Character o f w a t e r i n a b a r r l e -e -l e l
Milliseconds 152 81 80 103 80 81 79 120 88 32 121 79 160 50 110 97 176 71 137 135 97 288 160 272 71
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 137 120 104 88 72 73 86 128 81 63 114 55 127 88 81 79 72 176 65 160 47 160 65 87 112
Character t h e a m o u n t o f l i q u i d p o u r
Milliseconds 57 72 72 63 145 72 65 199 72 104 80 96 72 224 96 232 168 112 168 143 89 104 472 215 121
Character e d i n t o i t ? W e s e e c h a n g e
Milliseconds 256 160 48 136 56 104 72 127 89 72 184 232 264 200 104 88 160 144 120 81 111 48 103 65 72
Character o c c u r r i n g i n r -r n e a r l y e v
Milliseconds 80 80 96 136 112 264 128 80 80 136 135 353 80 152 64 368 80 112 80 80 96 152 64 72 136
Character e r y t h i n g w e o b s e r v e i n t h
Milliseconds 127 49 160 128 144 88 48 57 135 144 72 96 224 128 192 72 168 168 96 96 121 63 192 56 112
Character e w o r l d a n d u n i v e r s e , a n d
Milliseconds 96 48 144 72 95 89 112 104 80 88 80 96 95 121 88 96 136 79 145 48 80 168 88 80 80
Character p o w e r -r -e -w -o - o w e r f u l m o d e r
Milliseconds 88 104 16 144 64 32 160 184 152 144 136 160 184 160 47 152 169 88 168 112 160 48 72 120 56
Character n i n s t r u m e n t s h e l p u s s e e
Milliseconds 120 160 144 64 88 128 127 41 128 144 64 96 136 80 88 144 6 80 154 88 432 96 392 144 128
Character m o r e a n d m o r e . I n t h i s s
Milliseconds 111 153 64 40 48 88 96 56 120 64 144 72 48 56 72 208 152 72 145 119 168 360 89 103 72
Character e c t i o n w e i n t r o d u c e t h e i
Milliseconds 72 168 192 80 144 64 144 96 88 112 392 64 112 176 88 160 192 96 72 96 104 64 104 14 162
Character d e a s o f a v e r a g e a n d i n s t a
Milliseconds 80 144 48 112 72 56 96 95 65 144 144 48 120 112 64 80 128 56 120 48 152 80 160 160 112
Character n t a n e o u s r a t e s o f c h a n f e -e
Milliseconds 96 120 208 280 119 681 192 112 126 210 112 96 96 176 56 56 111 145 96 104 56 120 88 80 232
Character -f g e , a n d s h o w t h a t t h e y a
Milliseconds 168 144 56 64 216 64 96 56 96 79 160 97 104 88 112 184 136 72 104 88 72 72 136 80 128
Character r e c l o s e l t y - -y y - -y -t y r e l a
Milliseconds 64 80 48 128 88 151 65 65 151 145 0 111 272 160 160 104 248 169 143 130 135 103 80 223 105
Character t e d t o t h e s l o p e o f a c u r
Milliseconds 97 80 144 88 96 16 95 103 82 104 22 179 95 207 209 119 80 104 88 88 80 95 73 136 96
Character v e a t a p o i n t P o n t h e c u
Milliseconds 168 88 144 88 136 104 120 96 144 152 176 72 88 88 152 105 134 79 154 127 49 112 80 112 80
Character r v e . w -w W e g h i v -v -i -h -g g i v e p r
Milliseconds 96 168 96 40 192 320 312 136 160 96 112 16 31 121 160 160 152 184 216 72 88 79 145 112 112
Character e c i s e d f e -e -f e v e l o p m e n t s o f
Milliseconds 352 168 248 112 72 72 128 0 56 352 152 112 136 144 56 88 167 113 145 55 95 137 56 79 88
Character t h e s e i m p o r t a n t c o n c e p t s
Milliseconds 80 81 96 64 167 57 72 112 88 152 168 176 176 136 104 46 136 50 96 56 72 80 79 121 136
Character i n t h e n e x t c h a p t e r , b u t
Milliseconds 48 135 65 168 87 81 80 56 184 17 151 152 78 114 72 103 121 112 144 64 48 176 72 72 96
Character f o r n o w w e u s e a n i n f o r m
Milliseconds 56 112 56 95 80 137 56 96 64 136 231 161 152 72 47 128 177 72 175 105 64 72 121 54 129
Character a l a p p r o a c h s o y o w i -i -w - -o o
Milliseconds 128 88 88 96 96 136 88 80 128 143 169 111 177 80 127 305 71 161 167 57 287 168 128 168 368
Character u w i l l s e e h o w t h e y l e a d
Milliseconds 232 143 73 73 159 128 72 80 137 135 88 128 112 56 128 64 112 64 152 48 440 64 96 72 88
Character n a t u r a l l y t o t h e m a i n i d e
Milliseconds 160 89 95 88 88 40 96 128 96 95 113 88 96 144 89 104 71 176 113 63 72 145 63 80 152
Character a o f t h i s c h a p t e r , t h e l i
Milliseconds 112 111 105 88 88 64 128 96 88 96 66 86 111 114 110 145 48 80 168 104 48 104 64 129 167
Character m i t . T h e i d e a o f a l i m i t
Milliseconds 112 65 567 112 168 208 104 88 104 112 184 168 64 80 88 80 120 153 127 64 168 106 78 144 80
Character a -a p l a y s a f o u n d a t i o n a l r o
Milliseconds 120 233 112 39 88 128 160 104 40 129 71 112 184 64 280 352 144 89 175 48 120 64 96 72 81
Character l e t h r o u g h o u t c a l c u l u s .
Milliseconds 151 89 95 64 152 160 128 184 88 144 112 184 120 96 104 96 88 112 95 233 264 136 72
WPM Timing
Seconds WPM
2.23 48.51
4.45 91.63
6.68 97.02
8.91 72.77
11.13 68.99
13.36 77.26
15.58 80.08
17.81 86.91
20.04 82.05
22.26 85.16
24.49 86.73
26.72 90.73
28.94 89.56
31.17 92.02
33.39 93.07
35.62 92.3
37.85 92.58
40.07 91.33
42.3 92.48
44.53 92.98
46.75 93.94
48.98 91.88
51.21 93.04
53.43 92.98
55.66 93.14
57.88 93.08
60.11 94.43
62.34 93.36
64.56 93.12
66.79 93.43
69.02 92.85
71.24 92.47
73.47 92.94
75.7 93.37
77.92 92.09
80.15 91.33
82.37 91.19
84.6 91.91
86.83 92.46
89.05 93.11
91.28 93.47
93.51 92.02
95.73 92.26
97.96 92.61
100.18 93.19
102.41 93.15
104.64 93.35
106.86 93.2
109.09 93.28
111.32 93.14