Nguyen Truong (racing_typer_boiz)

Race #1355

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Official speed 116.80 wpm (88.77 seconds elapsed during race)
Without ending ping 117.13 wpm (251 ms delay sending score to TypeRacer’s server)
Timerless 117.59 wpm (342 ms elapsed before first character typed; 88.17 seconds elapsed during race)
Timerless minus one 117.45 wpm, ignoring the first character typed
Race Start December 3, 2023 6:38:18am UTC
Race Finish December 3, 2023 6:39:46am UTC
Outcome No win (2 of 4)
Accuracy 98.3%
Points 315.36
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 qnuantity is related to a change in another. How does the speed of a falling object change as a functiono of time? How does th e level of water in a barrel change as a function of the amounto f of liquid poured into it ? We see change occuring iing inoccurring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we introduc e the ideas of average and instantaneous rates of change, and show that they are closely reelated to the slope of a curve at a Ppoint P on the curve. We give precise developments of these important concepts int he n the next chapgter, but for now we use an informal approach so you will see how thye lethey 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 342 140 78 100 85 174 87 87 76 42 99 69 100 93 82 50 110 126 88 129 31 80 66 62 97
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 59 161 146 124 42 72 95 105 82 175 0 130 84 130 90 99 59 113 90 72 54 51 53 95 95
Character c h a n g e i n o n e q n -n u a n t i t y
Milliseconds 90 46 73 52 103 72 41 69 45 81 84 77 57 74 139 133 227 165 76 53 127 65 116 74 115
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 103 66 85 109 87 63 239 98 124 138 50 107 79 22 120 100 80 74 59 69 63 79 55 58 59
Character a n o t h e r . H o w d o e s t h e s p
Milliseconds 77 100 94 59 0 131 62 66 84 67 137 49 62 66 88 67 89 101 46 72 74 49 40 107 94
Character e e d o f a f a l l i n g o b j e c t c
Milliseconds 55 116 131 71 107 62 41 108 74 53 96 61 150 110 62 16 78 36 102 159 61 103 137 73 118
Character h a n g e a s a f u n c t i o n o - -o o
Milliseconds 66 40 68 66 81 96 136 87 69 144 121 78 119 108 82 193 143 102 67 169 117 192 92 96 86
Character f t i m e ? H o w d o e s t h - e l e
Milliseconds 72 63 91 58 60 42 261 52 354 59 85 76 116 49 93 134 110 45 68 127 375 81 70 72 80
Character v e l o f w a t e r i n a b a r r e l
Milliseconds 125 85 72 51 135 53 73 92 74 84 110 80 55 74 71 69 70 136 109 55 153 93 117 100 138
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 111 48 60 66 74 81 92 113 88 61 103 108 69 53 145 7 384 104 63 74 58 101 72 50 76
Character h e a m o u n t o f -f - -o o f l i q u i d
Milliseconds 74 65 57 94 42 61 58 134 54 157 66 145 201 108 87 116 79 90 62 94 65 113 88 65 90
Character p o u r e d i n t o i t - ? W e s e e
Milliseconds 73 296 104 111 99 83 133 99 190 62 76 92 115 122 89 303 340 189 121 199 79 63 121 130 118
Character c h a n g e o c c u r i n g i -i - -g -n -i i n
Milliseconds 77 85 53 40 67 57 81 69 56 93 106 71 110 86 71 70 77 70 212 121 110 133 113 215 56
Character g i n -n -i -o -c -c -u -r -i -n -g - o c c u r r i n g
Milliseconds 55 56 69 81 198 125 115 0 0 0 0 0 0 0 0 522 102 98 106 142 130 117 69 63 60
Character i n n e a r l y e v e r y t h i n g w e o
Milliseconds 96 69 70 122 71 115 35 91 50 83 94 109 87 81 52 104 94 77 53 83 82 82 98 51 199
Character b s e r v e i n t h e w o r l d a n d u
Milliseconds 79 70 66 93 152 83 81 43 67 89 48 84 39 71 92 61 59 56 74 75 152 80 79 64 239
Character n i v e r s e , a n d p o w e r f u l m o d
Milliseconds 107 79 40 43 93 102 67 83 91 110 52 68 63 57 64 77 49 59 134 39 54 44 126 69 101
Character e r n i n s t r u m e n t s h e l p u s s
Milliseconds 116 74 60 84 81 58 83 106 101 68 139 71 71 61 104 49 95 84 36 171 108 55 111 89 102
Character e e m o r e a n d m o r e . I n t h i s
Milliseconds 261 206 124 109 57 57 70 37 104 72 62 52 84 46 51 49 93 80 127 81 42 106 62 58 28
Character s e c t i o n w e i n t r o d u c - e t
Milliseconds 72 96 131 173 151 103 87 47 64 162 51 77 101 47 84 108 72 70 70 99 85 341 59 68 69
Character h e i d e a s o f a v e r a g e a n d i
Milliseconds 86 49 78 90 65 120 105 66 75 94 66 58 108 99 99 108 103 90 90 76 118 306 96 82 146
Character n s t a n t a n e o u s r a t e s o f c h a
Milliseconds 56 71 94 102 80 102 274 178 137 114 45 83 60 119 100 75 90 82 70 110 81 61 116 64 48
Character n g e , a n d s h o w t h a t t h e y a
Milliseconds 77 32 97 115 52 110 83 70 51 152 88 61 26 72 85 71 57 81 63 103 61 56 108 52 124
Character r e c l o s e l y r e e -e l a t e d t o t
Milliseconds 108 48 75 106 57 99 53 58 62 85 51 136 122 107 342 172 75 45 126 116 62 66 60 70 131
Character h e s l o p e o f a c u r v e a t a
Milliseconds 68 85 43 84 55 122 170 301 119 121 94 50 102 93 33 103 67 175 91 60 116 86 83 168 116
Character P -P p o i n t P o n t h e c u r v e . W
Milliseconds 149 355 175 86 100 59 18 98 234 85 172 68 87 191 64 79 44 118 86 45 136 75 106 59 241
Character e g i v e p r e c i s e d e v e l o p m e n
Milliseconds 78 66 140 59 91 69 39 251 72 90 123 64 129 102 70 120 131 106 77 96 109 109 212 81 44
Character t s o f t h e s e i m p o r t a n t c o n
Milliseconds 88 88 50 72 109 163 153 41 100 105 77 36 89 75 91 52 149 455 131 77 51 125 148 74 55
Character c e p t s i n t h e -e -h - -t -n - n t h e
Milliseconds 95 82 84 99 93 46 72 61 82 91 54 113 169 119 100 117 121 46 477 144 68 62 90 57 97
Character n e x t c h a p g -g t e r , b u t f o r n
Milliseconds 138 4 206 96 94 114 60 44 112 103 257 81 85 120 33 102 138 111 50 77 238 29 105 69 70
Character o w w e u s e a n i n f o r m a l a p p
Milliseconds 47 44 88 129 114 66 248 61 62 57 148 80 64 149 74 42 134 102 189 85 78 79 158 70 108
Character r o a c h s o y o u w i l l s e e h o w
Milliseconds 97 57 115 105 64 53 115 61 53 117 37 61 56 71 94 140 93 39 85 116 122 100 48 60 32
Character t h y e l e -e -l -t -h -y -e - t h e y l e a d
Milliseconds 85 82 49 88 7 81 80 75 158 116 108 0 0 0 0 223 53 91 24 81 85 73 128 81 63
Character n a t u r a l l y t o t h e m a i n i d e
Milliseconds 117 55 91 78 88 94 48 99 114 55 107 42 72 76 72 77 102 245 108 113 62 66 99 87 135
Character a o f t h i s c h a p t e r , t h e l i
Milliseconds 89 32 100 68 70 83 44 60 194 112 158 49 76 66 95 100 81 76 46 109 44 90 36 75 50
Character m i t . T h e i d e a o f a l i m i t
Milliseconds 95 109 84 109 89 182 54 100 40 67 107 133 40 277 117 108 71 93 98 39 55 87 115 86 77
Character p l a y s a f o u n d a t i o n a l r o l e
Milliseconds 58 119 86 97 81 241 124 106 87 97 76 139 57 102 99 79 97 78 182 54 91 106 52 113 46
Character t h r o u g h o u t c a l c u l u s .
Milliseconds 79 65 44 83 26 40 85 63 140 78 22 105 112 75 28 86 86 225 85 13 226
WPM Timing
Seconds WPM
1.78 108.15
3.55 114.91
5.33 130.68
7.1 123.36
8.88 124.37
10.65 130.68
12.43 134.22
14.2 133.5
15.98 127.67
17.75 126.4
19.53 124.12
21.3 125.61
23.08 125.31
24.85 122.63
26.63 121.67
28.41 118.29
30.18 116.1
31.96 109.65
33.73 109.22
35.51 111.19
37.28 112.98
39.06 114.91
40.83 116.08
42.61 116.03
44.38 117.07
46.16 116.99
47.93 117.66
49.71 116.84
51.48 117.94
53.26 118.96
55.04 118.61
56.81 118.5
58.59 117.37
60.36 117.49
62.14 117.42
63.91 117.54
65.69 117.28
67.46 116.15
69.24 114.91
71.01 114.74
72.79 115.07
74.56 115.39
76.34 115.22
78.12 115.06
79.89 115.36
81.67 115.94
83.44 116.06
85.22 116.32
86.99 116.7
88.77 116.8