Sam (pulsefactor)

Race #9557

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Official speed 111.46 wpm (93.02 seconds elapsed during race)
Without ending ping 111.60 wpm (115 ms delay sending score to TypeRacer’s server)
Timerless 111.82 wpm (188 ms elapsed before first character typed; 92.72 seconds elapsed during race)
Timerless minus one 111.69 wpm, ignoring the first character typed
Race Start July 26, 2023 5:27:32pm UTC
Race Finish July 26, 2023 5:29:05pm UTC
Outcome No win (2 of 5)
Opponents 1. someradno (122.12 wpm)
3. szlesh (95.16 wpm)
4. tigeros (84.99 wpm)
Accuracy 97.3%
Points 300.94
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 ge in one quanittity is related to a change in anohter.ther. How does the speed of a falling object change as a function of time/ ? HOw ow does the level of water ina . a barrel change as a function of the amouint nt of liquid poured into it? We see change occurring in nearly everything we observe in the world and univsererse, and powerful modrern instruments help us see more and more. In htis this section we introduce the ideas of avsaererage and instantaneous rates of change, and hshow that they are closely realtelated to the slep ofope 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 aso you will see how they lead naturally th o the mian ain idea of this chpater, hapter, the limit. The idea of a limit plays a foindundational 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 188 221 91 49 118 124 128 86 53 65 55 80 116 63 165 65 125 146 48 77 87 33 89 5 86
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 148 74 44 76 53 107 106 26 112 52 119 65 85 104 100 66 89 68 55 99 33 47 94 83 88
Character c h a n c e - -e -c g e i n o n e q u a n i
Milliseconds 115 31 120 44 95 63 74 272 123 130 40 42 45 67 50 57 103 76 84 65 147 75 81 91 139
Character t -t -i t i t y i s r e l a t e d t o a c
Milliseconds 108 219 119 172 19 104 62 80 97 73 71 253 94 86 167 119 80 70 24 134 41 21 119 93 116
Character h a n g e i n a n o h t e r . -. -r -e -t -h t h e
Milliseconds 76 88 59 82 29 32 44 75 33 193 96 45 126 0 164 39 47 220 116 128 129 110 89 80 47
Character r . H o w d o e s t h e s p e e d o f
Milliseconds 36 93 46 123 133 138 91 108 58 76 33 20 95 57 127 12 201 64 96 180 329 4 385 85 99
Character a f a l l i n g o b j e c t c h a n g e a
Milliseconds 56 96 228 92 123 126 107 65 30 53 83 65 174 46 63 21 59 145 54 77 90 76 34 78 50
Character s a f u n c t i o n o f t i m e / - -/ ?
Milliseconds 116 16 155 26 143 65 48 51 138 55 20 63 33 64 87 92 646 73 31 151 119 152 314 137 112
Character H O w - -w -O o w d o e s t h e l e v e l
Milliseconds 97 172 166 154 95 262 117 114 184 29 132 74 169 19 306 125 102 66 45 80 132 47 89 43 86
Character o f w a t e r i n a . - -. -a a b a r r
Milliseconds 63 139 57 38 150 115 92 51 105 59 68 78 78 77 160 262 129 113 41 146 129 179 92 188 138
Character e l c h a n g e a s a f u n c t i o n o
Milliseconds 184 72 47 104 72 51 90 59 31 55 101 82 45 115 48 123 67 53 6 189 57 31 57 32 131
Character f t h e a m o u i n t - -t -n -i n t o f l
Milliseconds 114 49 105 40 76 69 126 50 83 90 2 5 99 61 270 121 121 372 173 92 23 63 109 19 114
Character i q u i d p o u r e d i n t o i t ? W e
Milliseconds 69 130 83 47 139 95 166 295 59 92 90 56 55 55 49 105 73 62 294 69 194 12 140 225 84
Character s e e c h a n g e o c c u r r i n g i n n
Milliseconds 93 158 106 75 83 66 82 52 89 25 40 207 104 131 129 93 384 105 41 37 76 52 89 25 248
Character e a r l y e v e r y t h i n g w e o b s e r
Milliseconds 95 31 62 72 168 52 92 86 84 89 35 158 35 7 28 131 98 224 60 162 170 78 145 46 42
Character v e i n t h e w o r l d a n d u n i v s
Milliseconds 151 71 46 223 73 57 57 60 60 80 114 53 113 112 54 103 72 72 80 44 93 35 98 88 110
Character e r -r -e -s e r s e , a n d p o w e r f u l m
Milliseconds 66 58 208 112 126 67 25 61 79 41 67 44 85 56 76 47 57 59 52 19 138 37 130 46 125
Character o d r -r e r n i n s t r u m e n t s h e l p
Milliseconds 44 84 182 465 48 35 120 22 124 59 147 78 85 59 187 95 59 112 33 70 151 93 102 7 92
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 104 64 53 120 77 135 240 87 53 68 34 43 108 43 93 21 98 53 60 48 86 56 118 124 31
Character h t i s - -s -i -t -h t h i s s e c t i o n w e
Milliseconds 137 11 69 116 78 268 120 136 121 114 136 60 33 71 57 155 36 87 83 76 23 63 33 94 51
Character i n t r o d u c e t h e i d e a s o f a
Milliseconds 95 60 41 109 43 119 93 78 80 65 43 108 37 137 15 165 63 41 66 118 101 150 100 77 99
Character v s a -a e r -r -e -s e r a g e a n d i n s t a n
Milliseconds 109 75 11 294 122 44 166 113 111 78 31 84 114 33 95 73 78 94 66 105 84 151 191 125 87
Character t a n e o u s r a t e s o f c h a n g e ,
Milliseconds 106 200 772 233 179 108 88 92 172 53 108 28 98 66 85 35 65 125 108 105 82 95 36 55 60
Character a n d h -h s h o w t h a t t h e y a r e
Milliseconds 27 95 58 77 156 268 105 72 43 60 67 122 88 27 76 60 84 54 144 4 145 119 91 64 71
Character c l o s e l y r e a l t e -e -t -l -a l a t e d t
Milliseconds 137 47 141 29 50 66 225 19 170 45 117 34 125 57 218 108 131 135 194 17 90 25 107 73 120
Character o t h e s l e p o f -f -o - -p -e o p e o f
Milliseconds 35 48 51 115 27 93 99 72 111 82 71 113 44 219 122 129 123 112 214 36 157 43 180 121 59
Character a c u r v e a t a p o i n t P o n t
Milliseconds 96 52 127 98 62 114 82 65 71 145 67 92 73 72 40 169 59 46 179 143 201 209 79 69 83
Character h e c u r v e . W e g i v e p r e c i s e
Milliseconds 89 120 50 150 82 66 208 56 102 62 104 159 101 77 90 61 58 55 73 277 49 165 85 86 52
Character d e v e l o p m e n t s o f t h e s e i m
Milliseconds 80 218 43 147 42 110 140 73 211 62 77 72 59 35 80 69 44 102 43 80 88 93 75 77 76
Character p o r t a n t c o n c e p t s i n t h e n
Milliseconds 3 99 68 100 106 91 46 93 112 42 43 79 54 65 98 68 115 68 45 72 23 85 73 133 156
Character e x t c h a p t e r , b u t f o r n o w
Milliseconds 67 62 44 87 154 82 107 120 64 106 55 68 43 100 89 75 59 109 53 98 36 64 73 55 113
Character w e u s e a n i n f o r m a l a p p r o a
Milliseconds 502 44 131 111 83 53 75 106 69 50 122 66 65 124 115 57 97 72 71 139 100 114 99 101 31
Character c h a -a s o y o u w i l l s e e h o w
Milliseconds 149 60 55 125 348 87 83 61 121 86 56 43 99 74 157 109 46 56 170 125 71 95 60 39 76
Character t h e y l e a d n a t u r a l l y t h - -h
Milliseconds 98 79 71 57 51 94 72 93 19 126 99 60 66 112 59 75 60 109 160 54 59 116 4 386 123
Character o t h e m i a n - -n -a -i a i n i d e a o
Milliseconds 180 55 31 96 40 78 75 93 17 94 54 302 113 118 114 111 83 25 76 61 101 36 75 144 120
Character f t h i s c h p a t e r , - -, -h -p -a -t -e -r h
Milliseconds 52 72 87 59 97 83 61 72 80 86 3 118 71 82 30 52 220 123 374 0 0 0 0 0 81
Character a p t e r , t h e l i m i t . T h e i d e
Milliseconds 55 64 163 104 62 25 69 90 49 77 56 128 79 24 105 99 47 88 84 146 62 106 121 45 42
Character a o f a l i m i t p l a y s a f o i n
Milliseconds 48 77 31 94 52 70 61 116 109 46 143 74 88 93 50 105 95 71 67 74 93 108 268 52 31
Character d -d -n -i u n d a t i o n a l r o l e t h r o u
Milliseconds 128 233 122 115 222 4 64 37 153 102 26 25 112 64 56 178 52 140 81 81 164 33 150 76 66
Character g h o u t c a l c u l u s .
Milliseconds 60 94 72 72 89 66 148 91 35 188 117 100 147 79 66
WPM Timing
Seconds WPM
1.86 109.65
3.72 132.23
5.58 122.55
7.44 116.1
9.3 118.68
11.16 110.73
13.02 114.26
14.88 111.27
16.74 116.82
18.6 112.88
20.46 105.55
22.32 107.5
24.19 104.2
26.05 107.35
27.91 107.07
29.77 106.03
31.63 106.24
33.49 106.43
35.35 108.3
37.21 108.69
39.07 109.04
40.93 110.53
42.79 110.21
44.65 112.07
46.51 109.91
48.37 111.89
50.23 110.85
52.09 110.81
53.95 108.76
55.81 109.44
57.67 110.69
59.53 109.25
61.39 108.09
63.25 108.33
65.11 108.36
66.97 108.58
68.83 109.31
70.7 110.5
72.56 111.47
74.42 111.59
76.28 112.17
78.14 111.96
80 112.8
81.86 111.56
83.72 111.66
85.58 110.64
87.44 111.58
89.3 111.27
91.16 111.23
93.02 111.46