Soup (soupman11)

Race #164

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Official speed 126.56 wpm (81.92 seconds elapsed during race)
Without ending ping 126.92 wpm (235 ms delay sending score to TypeRacer’s server)
Timerless 127.53 wpm (387 ms elapsed before first character typed; 81.30 seconds elapsed during race)
Timerless minus one 127.38 wpm, ignoring the first character typed
Race Start November 19, 2023 10:49:57am UTC
Race Finish November 19, 2023 10:51:19am UTC
Outcome No win (2 of 3)
Opponents 1. inconnumeral (133.37 wpm)
Accuracy 98.9%
Points 341.71
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 in another. How does the speed of a falling object change as a function of time? HOw ow does the level of water in a barerrel change as a function of the a moumounmmount 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 isnstatntatneous rates of change, and show that they are closely reallated to the slope of a curve at a point P on the curve. We give precise developments of these important concepts in the nexrt ct 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 roul=l.e e 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 387 140 61 81 90 62 88 105 96 40 95 72 63 104 65 89 118 127 75 80 86 40 56 65 53
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 99 63 58 190 123 156 137 146 240 46 274 144 22 89 89 55 48 104 79 31 66 31 98 79 88
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 80 73 113 38 128 39 140 60 65 62 90 46 105 81 70 106 80 96 130 54 121 57 100 217 89
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 87 97 46 95 98 63 49 153 63 104 56 57 57 87 96 79 87 82 105 80 126 73 66 53 99
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 83 60 54 65 70 65 72 58 158 37 108 82 94 56 64 64 64 95 89 41 86 82 94 105 127
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 128 40 65 97 71 46 97 57 63 65 114 56 48 166 209 119 96 161 71 56 167 73 113 71 135
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 8 114 47 88 94 67 85 72 89 58 94 56 73 160 31 17 33 86 72 96 50 96 78 62 18
Character ? H O w - -w -O o w d o e s t h e l e v e
Milliseconds 169 74 175 47 112 86 283 120 110 178 78 79 75 104 37 56 81 90 63 111 42 122 12 95 65
Character l o f w a t e r i n a b a r e r -r -e r e
Milliseconds 104 57 120 81 97 103 62 49 81 73 46 47 57 56 152 95 184 270 115 86 107 167 111 105 64
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 79 74 87 89 95 55 81 47 136 112 56 89 103 50 86 112 41 87 161 46 17 33 80 58 93
Character t h e a m o u -u -o -m m o u n -n -u -o -m m -m - m
Milliseconds 58 71 70 74 98 53 113 12 19 203 199 131 211 225 63 81 40 224 112 120 127 274 217 129 157
Character o u n t o f l i q u i d p o u r e d i n t
Milliseconds 62 87 41 65 96 50 63 88 72 98 69 116 14 102 89 40 87 106 70 145 145 70 49 56 103
Character o i t ? W e s e e c h a n g e o c c u r
Milliseconds 73 64 88 80 153 79 303 145 96 119 40 111 91 83 116 96 106 37 56 113 110 72 141 77 95
Character r i n g i n n e a r l y e v e r y t h i n g
Milliseconds 131 85 40 115 175 121 61 72 146 95 64 16 103 121 49 121 70 79 73 92 100 80 56 78 75
Character w e o b s e r v e i n t h e w o r l d
Milliseconds 103 71 33 111 56 71 90 56 62 120 59 102 57 66 70 47 96 51 109 49 96 31 122 56 79
Character a n d u n i v e r s e , a n d p o w e r f u
Milliseconds 56 95 66 87 64 65 118 96 100 69 49 66 46 54 96 96 59 117 74 55 48 32 71 165 20
Character l m o d e r n i n s t r u m e n t s h e l p
Milliseconds 39 107 128 15 69 115 48 95 58 54 72 147 85 136 103 88 137 83 85 86 73 41 208 265 129
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 88 216 87 103 98 101 139 124 92 79 79 35 89 91 50 95 65 40 65 63 31 95 89 89 110
Character t h i s s e c t i o n w e i n t r o d u c
Milliseconds 81 121 64 46 40 96 64 58 85 168 50 32 24 73 80 47 87 40 65 87 137 49 104 79 103
Character e t h e i d e a s o f a v e r a g e a n
Milliseconds 65 80 62 89 48 108 47 46 121 31 92 66 66 87 72 48 65 71 104 56 63 40 73 41 103
Character d i s -s n s t a t -t n t a t -t n e o u s r a t
Milliseconds 33 127 90 40 287 248 64 39 62 116 385 221 120 98 70 321 168 115 96 76 87 90 72 72 87
Character e s o f c h a n g e , a n d s h o w t h
Milliseconds 16 88 57 95 105 80 87 81 55 120 41 79 138 73 110 80 64 89 65 77 32 34 104 53 107
Character a t t h e y a r e c l o s e l y r e a l -l
Milliseconds 7 93 69 60 99 62 64 31 66 55 48 81 71 58 118 17 80 46 110 69 42 44 58 39 318
Character -a l a t e d t o t h e s l o p e o f a
Milliseconds 107 181 27 38 40 128 32 167 41 96 49 88 48 95 48 98 117 49 72 73 87 50 88 46 115
Character c u r v e a t a p o i n t P o n t h e
Milliseconds 54 130 34 124 48 87 73 96 105 86 95 83 14 81 23 56 103 130 218 134 73 71 103 81 48
Character c u r v e . W e g i v e p r e c i s e d
Milliseconds 86 57 89 79 671 90 80 65 192 240 96 150 79 91 22 85 62 84 73 123 118 88 79 73 112
Character e v e l o p m e n t s o f t h e s e i m p o
Milliseconds 128 72 71 17 120 23 97 81 88 54 102 43 42 61 104 104 96 33 64 103 107 126 64 72 23
Character r t a n t c o n c e p t s i n t h e n e x
Milliseconds 57 128 54 66 95 99 86 25 65 94 55 89 80 111 80 73 70 81 50 95 65 97 37 33 120
Character r t c -c - -t -r t c h a p t e r , b u t f o
Milliseconds 136 9 29 178 233 128 125 369 193 93 141 70 82 86 72 240 81 105 117 249 64 71 87 107 23
Character r n o w w e u s e a n i n f o r m a l
Milliseconds 111 100 30 39 96 65 100 35 71 96 73 35 69 105 64 55 63 73 80 112 24 105 95 88 64
Character a p p r o a c h s o y o u w i l l s e e
Milliseconds 137 72 127 58 86 46 137 88 56 242 19 107 72 62 65 66 57 79 47 115 69 72 40 114 87
Character h o w t h e y l e a d n a t u r a l l y t
Milliseconds 31 48 32 113 64 97 50 13 85 115 48 24 95 56 79 115 86 96 97 56 65 119 105 37 90
Character o t h e m a i n i d e a o f t h i s c
Milliseconds 55 75 61 60 67 89 41 37 99 39 60 100 32 137 49 37 51 78 81 56 78 42 7 145 49
Character h a p t e r , t h e l i m i t . T h e i d
Milliseconds 119 71 33 127 73 72 23 64 107 69 66 39 39 50 88 72 61 140 77 117 91 72 80 50 39
Character e a o f a l i m i t p l a y s a f o u
Milliseconds 110 89 32 210 118 112 88 98 63 80 31 146 65 117 16 137 48 71 111 9 252 334 110 50 32
Character n d a t i o n a l r o u l = -= -l -u l . e - -e -.
Milliseconds 38 65 91 69 47 24 39 122 79 48 88 96 56 131 177 134 203 381 192 8 70 129 160 128 145
Character e t h r o u g h o u t c a l c u l u s .
Milliseconds 145 71 95 88 72 79 49 118 90 89 57 38 132 59 71 50 167 137 47 176 279 92
WPM Timing
Seconds WPM
1.64 117.19
3.28 117.19
4.92 122.07
6.55 128.17
8.19 128.9
9.83 131.83
11.47 133.93
13.11 132.75
14.75 135.9
16.38 130.37
18.02 130.5
19.66 130
21.3 127.89
22.94 128.69
24.58 120.11
26.21 119.02
27.85 119.77
29.49 119.22
31.13 119.5
32.77 121.21
34.41 123.11
36.05 124.84
37.68 125.46
39.32 123.9
40.96 125.68
42.6 126.76
44.24 128.58
45.88 125.56
47.51 125.01
49.15 125.73
50.79 127.11
52.43 126.8
54.07 127.62
55.71 127.31
57.35 126.18
58.98 126.75
60.62 127.68
62.26 127.59
63.9 125.64
65.54 125.61
67.18 126.3
68.81 126.78
70.45 127.75
72.09 128.84
73.73 129.72
75.37 129.76
77.01 129.65
78.64 128.32
80.28 127.05
81.92 126.56