Dion Lynch (ddd24)

Race #2587

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Official speed 135.70 wpm (76.40 seconds elapsed during race)
Without ending ping 135.90 wpm (115 ms delay sending score to TypeRacer’s server)
Timerless 136.43 wpm (295 ms elapsed before first character typed; 75.99 seconds elapsed during race)
Timerless minus one 136.27 wpm, ignoring the first character typed
Race Start February 9, 2025 7:04:39pm UTC
Race Finish February 9, 2025 7:05:55pm UTC
Outcome Win (1 of 3)
Accuracy 99.0%
Points 366.38
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 chancge in one quantitiyy 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 functin ofoon of the amount of liquid poured into it? We see change occuringring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. OIn 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 chaper, ter, but for now we use an informal approach so you will see how they lead natualrally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout calcullusus.uus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 295 139 54 114 63 111 109 77 73 32 139 155 79 78 75 29 132 51 235 188 78 94 43 57 52
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 91 62 88 76 64 23 86 77 48 140 31 120 48 119 60 98 75 67 69 46 51 31 99 49 95
Character c h a n c -c g e i n o n e q u a n t i t i y
Milliseconds 61 31 82 75 77 231 57 107 48 41 97 83 49 48 55 111 76 99 111 52 137 51 129 102 109
Character -y -i y i s r e l a t e d t o a c h a n g
Milliseconds 181 121 96 137 0 72 118 61 55 113 85 52 79 122 70 95 44 108 28 86 83 60 78 57 82
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 80 55 40 87 64 66 48 53 71 45 49 60 72 92 79 131 70 89 67 59 83 83 79 69 28
Character e s p e e d o f a f a l l i n g o b j e
Milliseconds 80 74 60 72 83 121 127 81 40 80 82 37 82 35 77 79 125 69 37 114 79 244 128 78 75
Character c t c h a n g e a s a f u n c t i o n o
Milliseconds 111 145 68 100 47 84 68 39 99 119 30 53 88 60 65 82 75 131 34 116 25 75 33 97 71
Character f t i m e ? H o w d o e s t h e l e v e
Milliseconds 79 77 106 52 36 83 180 187 182 84 104 74 72 15 118 61 80 76 47 83 38 61 38 128 116
Character l o f w a t e r i n a b a r r e l c h
Milliseconds 70 35 169 83 145 0 139 49 112 38 65 36 64 80 81 55 117 118 82 108 78 66 78 83 40
Character a n g e a s a f u n c t i n o f -f -o - o -o
Milliseconds 94 52 94 74 67 131 97 138 0 63 46 120 135 35 154 11 95 109 129 17 187 116 150 167 253
Character -n o n o f t h e a m o u n t o f l i q u
Milliseconds 112 68 74 128 213 82 67 52 45 40 79 70 53 99 59 121 30 92 0 75 77 43 68 58 106
Character i d p o u r e d i n t o i t ? W e s e e
Milliseconds 66 87 83 79 33 71 102 91 103 99 56 82 84 74 123 32 84 254 227 150 148 88 117 33 108
Character c h a n g e o c c u r i n g -g -n -i r i n g i
Milliseconds 70 72 73 73 73 62 69 83 35 83 121 63 76 57 59 71 305 109 123 99 87 63 67 38 50
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 107 108 80 79 75 52 49 97 76 25 127 137 16 63 92 81 41 74 63 87 62 38 101 33 95
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 132 71 72 130 111 59 58 55 83 19 66 34 82 53 50 49 83 77 42 146 61 91 54 39 125
Character i v e r s e , a n d p o w e r f u l m o d e
Milliseconds 88 68 143 35 96 54 44 87 49 50 48 69 52 49 47 53 30 135 26 69 66 70 59 41 116
Character r n i n s t r u m e n t s h e l p u s s e
Milliseconds 19 71 81 52 61 81 120 180 63 129 89 68 53 116 40 28 80 81 77 98 57 105 86 342 68
Character e m o r e a n d m o r e . O I n - -n -I -O
Milliseconds 100 91 79 67 38 50 71 82 47 104 93 28 85 82 51 90 132 115 0 146 122 182 115 134 139
Character I n t h i s s e c t i o n w e i n t r o d
Milliseconds 254 122 73 84 28 56 85 99 61 90 157 123 18 65 37 64 229 98 162 164 95 51 117 38 95
Character u c e t h e i d e a s o f a v e r a g e
Milliseconds 36 124 118 82 42 43 70 104 34 13 154 95 46 126 49 167 126 70 69 177 22 144 21 136 15
Character a n d i n s t a n t a n e o u s r a t e s o
Milliseconds 263 136 69 104 46 51 102 95 121 67 105 139 263 102 136 84 85 69 62 119 52 47 103 62 34
Character f c h a n g e , a n d s h o w t h a t t
Milliseconds 113 84 72 67 82 60 56 91 73 83 8 78 52 62 52 64 56 27 125 74 38 100 33 52 108
Character h e y a r e c l o s e l y r e l a t e d t
Milliseconds 48 144 34 117 19 40 60 82 79 59 104 34 49 55 66 55 67 28 64 106 50 99 102 80 71
Character o t h e s l o p e o f a c u r v e a t
Milliseconds 32 100 30 48 56 73 27 166 157 68 116 56 69 52 108 0 98 51 94 46 198 73 91 54 59
Character a p o i n t P o n t h e c u r v e .
Milliseconds 76 61 101 108 38 72 72 83 80 123 173 68 78 62 59 37 52 91 56 77 24 146 121 43 123
Character W e g i v e p r e c i s e d e v e l o p m e
Milliseconds 126 56 119 108 143 0 117 52 61 104 73 195 64 108 67 76 89 88 125 110 46 102 59 129 75
Character n t s o f t h e s e i m p o r t a n t c o
Milliseconds 79 61 68 84 32 50 111 27 29 147 167 70 119 101 92 42 42 90 117 94 53 83 99 49 64
Character n c e p t s i n t h e n e x t c h a p e r
Milliseconds 56 63 140 58 288 268 81 48 79 83 40 36 84 47 54 45 165 95 96 76 68 70 77 103 62
Character , - -, -r -e t e r , b u t f o r n o w w e
Milliseconds 102 104 171 124 141 135 28 148 64 42 79 61 58 103 93 75 39 101 75 110 84 40 111 77 51
Character u s e a n i n f o r m a l a p p r o a c h
Milliseconds 92 33 84 48 111 73 37 115 61 73 46 95 82 67 89 66 83 82 50 147 113 70 51 89 68
Character s o y o u w i l l s e e h o w t h e y
Milliseconds 101 52 64 82 49 50 87 51 57 56 37 147 186 96 59 94 73 37 63 58 93 54 66 72 52
Character l e a d n a t u a l -l -a r a l l y t o t h
Milliseconds 64 79 20 76 72 78 5 103 98 85 102 151 194 119 88 191 92 114 108 94 51 50 94 49 13
Character e m a i n i d e a o f t h i s c h a p t
Milliseconds 68 88 50 54 109 75 128 39 81 114 38 84 24 70 85 71 39 51 77 90 74 49 76 54 130
Character e r , t h e l i m i t . T h e i d e a o
Milliseconds 126 25 65 115 41 47 72 51 76 35 101 55 122 88 100 78 82 58 86 52 18 146 59 50 46
Character f a l i m i t p l a y s a f o u n d a t
Milliseconds 89 83 36 81 82 124 146 90 115 85 35 125 58 92 97 72 79 79 63 65 35 130 71 133 42
Character i o n a l r o l e t h r o u g h o u t c a l
Milliseconds 36 66 18 94 72 101 34 82 132 62 70 35 62 78 49 46 54 92 41 78 34 103 68 80 53
Character c u l l u s -s -u u s . -. -s -u u -u -l u s .
Milliseconds 107 123 94 107 21 130 176 114 174 110 59 196 124 138 146 280 100 82 64 82
WPM Timing
Seconds WPM
1.53 109.94
3.06 125.65
4.58 138.74
6.11 135.46
7.64 127.22
9.17 134.81
10.7 139.11
12.22 138.41
13.75 139.61
15.28 139
16.81 139.93
18.34 141.35
19.86 141.96
21.39 132.94
22.92 135.07
24.45 135.46
25.98 134.43
27.51 131.76
29.03 133.09
30.56 135.07
32.09 136.49
33.62 138.14
35.15 137.6
36.67 137.43
38.2 134.44
39.73 133.8
41.26 134.37
42.79 134.06
44.31 133.23
45.84 135.07
47.37 136.54
48.9 137.18
50.43 137.55
51.95 137.66
53.48 137.54
55.01 137.86
56.54 137.75
58.07 137.63
59.59 135.92
61.12 136.25
62.65 136.76
64.18 137.24
65.71 136.61
67.24 136.89
68.76 137.69
70.29 138.28
71.82 138.35
73.35 139.06
74.88 137.99
76.4 135.7