Ryan Smith (chickenhelmet)

Race #39713

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Official speed 113.67 wpm (91.21 seconds elapsed during race)
Without ending ping 113.96 wpm (234 ms delay sending score to TypeRacer’s server)
Timerless 115.17 wpm (952 ms elapsed before first character typed; 90.03 seconds elapsed during race)
Timerless minus one 115.03 wpm, ignoring the first character typed
Race Start March 18, 2024 3:28:30pm UTC
Race Finish March 18, 2024 3:30:01pm UTC
Outcome Win (1 of 5)
Opponents 2. kelvinjay (104.94 wpm)
3. kingclem (86.29 wpm)
4. sterlingwolf (85.30 wpm)
5. nebs_2ge (82.41 wpm)
Accuracy 98.8%
Points 306.92
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 undersatand how a change in one quantity is related to a change in another. How does the speed of a failling object change as a function of time? How does the level of water in a batrrel 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 intstrunments help us see more and more. In this section we introduce the ideas of average and instanteaneous rates of change, and show that they are closely related to the sleope of a curnve ve at a point P on the cureve. We give precizse 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 calculaus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 952 214 122 160 271 148 284 39 121 113 52 93 121 61 71 94 141 44 92 55 50 36 118 63 81
Character e l p s u s u n d e r s a -a t a n d h o w
Milliseconds 85 73 93 117 71 87 83 80 122 110 59 86 72 189 246 431 106 139 50 94 70 76 69 87 118
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 73 93 53 38 92 81 60 70 22 126 65 42 118 46 93 71 154 200 110 55 108 25 146 93 107
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 97 51 91 119 66 134 79 92 69 116 97 93 90 70 146 68 902 48 89 76 69 64 31 133 35
Character a n o t h e r . H o w d o e s t h e s p
Milliseconds 88 75 61 117 32 48 71 69 134 62 173 160 21 72 87 76 63 59 94 69 70 68 63 66 92
Character e e d o f a f a i -i l l i n g o b j e c t
Milliseconds 122 141 61 71 54 132 75 113 97 63 77 90 287 103 144 48 136 46 76 45 116 93 185 19 170
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 159 72 45 87 75 71 46 66 102 43 91 111 75 76 70 103 191 149 71 59 69 72 116 64 98
Character t i m e ? H o w d o e s t h e l e v e l
Milliseconds 89 46 103 87 273 169 262 184 24 118 81 51 49 94 91 117 70 71 87 92 35 178 94 103 81
Character o f w a t e r i n a b a t -t r r e l c h
Milliseconds 97 46 86 123 119 67 119 83 72 73 72 72 159 86 100 92 133 286 52 161 65 110 98 75 50
Character a n g e a s a f u n c t i o n o f t h e
Milliseconds 67 87 91 34 47 151 28 92 87 98 73 160 65 172 175 92 52 71 75 92 85 57 182 90 47
Character a m o u n t o f l i q u i d p o u r e d
Milliseconds 73 138 112 52 40 96 54 108 64 234 95 103 85 332 204 185 111 149 135 279 44 78 135 97 89
Character i n t o i t ? W e s e e c h a n g e o c
Milliseconds 69 75 60 53 109 72 52 255 142 97 175 74 71 116 117 94 62 70 70 80 70 45 73 247 28
Character c u r r i n g i n n e a r l y e v e r y t h
Milliseconds 159 135 126 159 110 106 62 56 134 27 106 145 95 90 27 178 52 69 119 49 110 81 60 64 98
Character i n g w e o b s e r v e i n t h e w o r
Milliseconds 64 76 72 76 64 48 93 160 70 181 97 73 201 57 94 111 274 81 88 69 40 58 69 91 96
Character l d a n d u n i v e r s e , a n d p o w e
Milliseconds 160 40 74 121 49 87 63 168 50 141 74 116 79 146 64 109 82 136 51 53 69 74 114 42 125
Character r f u l m o d e r n i n t -t s t r u n -n m e n
Milliseconds 79 114 71 95 120 139 73 114 87 48 186 57 48 90 86 334 204 53 204 70 139 354 72 156 24
Character t s h e l p u s s e e m o r e a n d m
Milliseconds 97 154 100 46 87 99 73 46 137 66 94 74 48 162 93 48 69 97 51 57 122 44 48 73 95
Character o r e . I n t h i s s e c t i o n w e i
Milliseconds 51 94 47 179 19 218 136 117 91 51 64 98 111 52 88 82 155 97 65 70 70 74 69 96 94
Character n t r o d u c e t h e i d e a s o f a v e
Milliseconds 46 110 226 101 85 115 99 77 133 94 71 46 93 117 41 118 97 40 72 119 69 71 393 95 114
Character r a g e a n d i n s t a n t e -e a n e o u s
Milliseconds 122 111 93 48 133 115 93 61 79 47 129 184 82 168 93 98 235 274 116 60 151 201 43 58 112
Character r a t e s o f c h a n g e , a n d s h o w
Milliseconds 204 54 91 49 90 87 99 45 76 89 92 42 122 76 87 142 143 108 66 74 65 119 67 59 74
Character t h a t t h e y a r e c l o s e l y r e
Milliseconds 106 87 34 45 111 73 70 52 81 60 57 99 65 76 70 105 150 99 112 50 134 93 88 59 93
Character l a t e d t o t h e s l e -e o p e o f a
Milliseconds 132 72 92 70 93 86 56 67 93 47 48 68 118 21 227 53 365 75 135 103 90 144 58 75 92
Character c u r n v e - -e -v -n v e a t a p o i n t
Milliseconds 121 23 114 67 235 0 101 102 217 224 168 185 78 92 111 92 72 109 75 123 110 202 48 53 51
Character P o n t h e c u r e -e v e . W e g i v
Milliseconds 46 274 164 163 72 95 72 66 50 80 79 340 52 185 305 92 73 180 71 209 134 70 56 69 96
Character e p r e c i z -z s e d e v e l o p m e n t s
Milliseconds 65 89 97 88 103 70 115 259 290 98 115 73 89 75 176 74 140 487 164 123 134 113 52 186 89
Character o f t h e s e i m p o r t a n t c o n c e p
Milliseconds 119 44 72 92 65 29 93 68 89 76 46 134 100 141 142 141 72 87 117 282 106 96 49 94 164
Character t s i n t h e n e x t c h a p t e r , b
Milliseconds 46 187 98 87 67 98 47 69 73 45 111 46 179 53 100 94 52 86 252 75 118 96 144 103 99
Character u t f o r n o w w e u s e a n i n f o
Milliseconds 70 75 110 95 47 66 97 93 47 162 97 67 95 123 117 96 89 105 260 66 52 164 41 155 100
Character r m a l a p p r o a c h s o y o u w i l l
Milliseconds 56 108 100 139 95 95 165 166 136 66 138 71 72 105 74 73 74 140 375 43 115 30 115 66 138
Character s e e h o w t h e y l e a d n a t u r a
Milliseconds 93 117 49 155 32 90 87 53 110 76 68 46 30 66 66 97 99 38 73 75 89 64 98 88 82
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 87 138 72 75 86 69 98 60 95 32 68 108 35 113 89 51 96 92 129 59 63 167 70 91 66
Character h i s c h a p t e r , t h e l i m i t . T
Milliseconds 119 21 92 72 88 72 66 138 99 121 94 111 99 49 65 43 78 108 35 101 69 102 97 86 254
Character h e i d e a o f a l i m i t p l a y s
Milliseconds 93 71 121 106 98 65 80 82 125 67 66 99 108 80 41 118 77 92 114 97 108 66 53 123 130
Character a f o u n d a t i o n a l r o l e t h r o u
Milliseconds 70 140 69 141 76 45 81 83 87 90 67 54 154 116 262 187 97 105 77 116 68 115 49 92 49
Character g h o u t c a l c u l a -a u s .
Milliseconds 68 116 94 50 158 118 117 277 67 147 112 139 121 512 175 22 266
WPM Timing
Seconds WPM
1.82 32.89
3.65 82.23
5.47 85.52
7.3 98.67
9.12 103.93
10.95 98.67
12.77 106.19
14.59 110.18
16.42 109.64
18.24 112.49
20.07 111.83
21.89 114.02
23.71 113.35
25.54 113.71
27.36 113.14
29.19 113.06
31.01 112.99
32.84 113.29
34.66 114.6
36.48 115.12
38.31 115.9
40.13 114.52
41.96 113.83
43.78 115.12
45.61 115.78
47.43 116.13
49.25 115.73
51.08 114.41
52.9 115
54.73 116.21
56.55 117.13
58.38 116.15
60.2 114.02
62.02 113.96
63.85 113.14
65.67 112.38
67.5 111.65
69.32 111.66
71.14 112.33
72.97 112.49
74.79 112.47
76.62 112.3
78.44 112.9
80.27 113.77
82.09 114.31
83.91 114.55
85.74 115.05
87.56 114.98
89.39 114.92
91.21 113.67