John Keyboard (johnkeyboard1979)

Race #4

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Official speed 83.74 wpm (123.81 seconds elapsed during race)
Without ending ping 83.83 wpm (133 ms delay sending score to TypeRacer’s server)
Timerless 85.06 wpm (1,794 ms elapsed before first character typed; 121.89 seconds elapsed during race)
Timerless minus one 84.97 wpm, ignoring the first character typed
Race Start April 7, 2024 11:45:29am UTC
Race Finish April 7, 2024 11:47:33am UTC
Outcome No win (3 of 5)
Opponents 2. abode243 (91.24 wpm)
4. archy009 (81.39 wpm)
Accuracy 96.9%
Points 226.08
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 2wqquasnntity is related to a change in another. How does the speed of a falling bobject change as a function of time? How does the level hof water in a barrel change as a function of the amount of liquid pourded into it? We see change ocurtricurring in menearly everything we obvserver in in the world and the universe, and powerful modern instruments help us see more naand mopreore. re . In this section we introcduce the ideas of average inand inssattantaneous rates of change, and howshow that they are closely related to the slope of a ucurve at a point P on the curve. We give precise developments of these important coneccentpts in the next chapter, but for now ewe use an informal approach so you will see how htthey lead naturally to the main idea of this chaper,ter, the limit. The ideqa a of limia 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 1794 177 14 237 123 165 167 87 59 87 78 63 135 84 125 332 107 192 118 184 92 75 77 21 149
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 80 56 184 49 72 139 69 79 137 151 50 149 77 125 102 114 84 101 51 147 52 78 65 109 99
Character c h a n g e i n o n e 2 w -w q -q -2 q u a s n
Milliseconds 213 80 71 87 100 117 42 117 59 64 118 65 80 69 267 53 194 88 227 106 87 97 116 0 83
Character -n -s n t i t y i s r e l a t e d t o a c
Milliseconds 342 101 193 127 104 234 199 136 163 103 58 388 102 65 160 169 151 172 68 132 67 93 75 175 159
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 117 57 119 56 98 68 85 57 68 126 83 63 99 112 75 76 130 125 442 126 67 81 168 119 65
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 138 78 119 93 57 64 120 108 58 149 183 52 142 71 51 123 78 209 189 104 106 161 64 77 23
Character b -b o b j e c t c h a n g e a s a f u n c
Milliseconds 301 247 194 167 185 73 143 193 66 232 94 88 85 84 94 72 133 317 84 192 85 205 96 155 34
Character t i o n o f t i m e ? H o w d o e s t h
Milliseconds 289 79 42 84 105 125 69 72 142 77 74 66 200 123 452 141 85 52 126 88 69 131 77 192 108
Character e l e v e l h -h o f w a t e r i n a b
Milliseconds 60 48 108 76 148 121 81 70 137 314 160 61 61 262 159 99 153 81 175 144 66 98 105 80 139
Character a r r e l c h a n g e a s a f u n c t i o
Milliseconds 60 118 149 103 92 88 133 98 60 130 22 107 91 101 151 99 124 72 121 125 210 124 174 76 18
Character n o f t h e a m o u n t o f l i q u i d
Milliseconds 122 41 160 85 62 130 80 71 64 106 92 158 50 167 103 50 200 90 67 260 166 119 138 52 108
Character p o u r d -d e d i n t o i t ? W e s e e
Milliseconds 66 190 125 90 106 160 203 76 174 43 84 83 100 71 118 108 86 176 122 229 141 67 133 141 149
Character c h a n g e o c u r t r i -i -r -t -r -u c u r r i
Milliseconds 71 121 85 82 121 29 94 58 162 87 220 76 151 0 104 240 89 93 100 486 175 134 180 184 141
Character n g i n m e -e -m n e a r l y e v e r y t h i
Milliseconds 61 65 59 104 71 62 165 133 184 83 190 69 98 140 121 82 39 175 150 137 57 130 166 53 83
Character n g w e o b v -v s e r v e r i n - -n -i - -r
Milliseconds 95 55 67 131 185 61 75 148 167 226 47 137 49 167 172 37 65 120 66 66 175 100 99 92 94
Character i n t h e w o r l d a n d t h e - -e -h
Milliseconds 197 142 82 84 123 66 61 77 123 118 96 117 70 75 105 96 75 66 179 52 126 91 183 96 97
Character -t u n i v e r s e , a n d p o w e r f u l m
Milliseconds 93 181 149 130 71 168 66 167 218 120 110 124 96 59 66 543 126 82 155 65 180 75 134 92 98
Character o d e r n i n s t r u m e n t s h e l p u s
Milliseconds 95 64 179 34 146 108 75 88 82 136 178 66 184 75 158 81 191 69 126 74 67 183 76 125 49
Character s e e m o r e n a -a -n a n d m o p r e -e -r
Milliseconds 73 139 381 156 68 108 42 84 76 132 156 33 368 88 95 96 66 69 71 66 0 79 68 283 95
Character -p o r e . - -. -e -r -o r e - . I n t h i s
Milliseconds 120 398 102 70 186 117 353 89 100 99 123 120 60 114 348 191 134 266 169 133 119 55 37 71 44
Character s e c t i o n w e i n t r o c -c d u c e t h
Milliseconds 150 126 156 185 90 28 99 27 123 138 60 111 74 76 167 50 132 196 81 99 65 126 68 109 256
Character e i d e a s o f a v e r a g e i n -n -i a n
Milliseconds 102 57 140 94 173 110 181 69 133 199 85 90 159 168 59 129 135 119 63 87 50 347 99 103 125
Character d i n s s -s a t -t -a t a n t a n e o u s r a t
Milliseconds 42 76 99 67 129 177 326 93 207 117 216 88 165 148 134 147 200 123 185 98 115 57 141 100 116
Character e s o f c h a n g e , a n d h o w -w -o -h s
Milliseconds 120 162 66 104 77 52 168 78 79 129 185 141 73 125 92 107 45 95 185 69 25 331 108 80 110
Character h o w t h a t t h e y a r e c l o s e l y
Milliseconds 130 26 72 50 166 95 47 80 15 170 105 62 154 76 172 78 81 88 159 52 134 66 133 140 70
Character r e l a t e d t o t h e s l o p e o f
Milliseconds 65 920 147 137 71 147 148 181 62 132 83 116 131 117 66 58 128 18 191 167 74 52 266 92 50
Character a u -u c u r v e a t a p o i n t P o n
Milliseconds 306 84 389 256 66 106 91 191 139 56 141 134 87 113 128 524 119 94 65 101 35 224 119 105 77
Character t h e c u r v e . W e g i v e p r e c i
Milliseconds 116 122 96 74 65 1052 399 99 170 126 82 107 175 176 42 176 126 67 98 86 172 31 86 217 99
Character s e d e v e l o p m e n t s o f t h e s e
Milliseconds 150 175 59 173 176 149 145 82 173 192 167 87 137 54 157 67 123 69 65 126 92 59 201 165 82
Character i m p o r t a n t c o n e c -c -e c e n t -t -n p t
Milliseconds 124 133 161 140 108 152 124 60 117 69 163 60 114 100 143 349 102 147 220 132 59 292 108 192 67
Character s i n t h e n e x t c h a p t e r , b u
Milliseconds 164 151 158 60 90 101 76 75 56 92 69 214 211 54 166 123 280 165 78 156 90 136 92 113 165
Character t f o r n o w e -e w e u s e a n i n f
Milliseconds 57 48 132 76 92 53 82 42 86 72 127 257 49 102 16 424 73 177 59 126 107 133 149 61 115
Character o r m a l a p p r o a c h s o y o u w i l
Milliseconds 139 123 124 89 326 131 209 192 104 70 176 66 152 119 64 90 92 53 127 63 63 75 342 102 179
Character l s e e h o w h t -t -h t h e y l e a d n
Milliseconds 121 129 98 134 162 65 138 85 166 131 309 85 206 94 86 91 67 155 91 112 266 81 176 85 105
Character a t u r a l l y t o t h e m a i n i d e a
Milliseconds 87 172 150 85 150 76 108 98 36 146 62 139 109 95 81 67 101 117 99 116 76 132 102 181 69
Character o f t h i s c h a p e r , -, -r -e t e r , t
Milliseconds 139 137 82 49 158 72 49 62 63 138 117 63 120 120 56 196 251 96 95 255 190 94 171 101 174
Character h e l i m i t . T h e i d e q a - -a -q a
Milliseconds 121 66 59 179 151 150 99 161 106 113 219 151 50 72 131 63 170 99 0 167 259 90 99 102 65
Character o f l i m i -i -m -i -l a l i m i t p l a y s
Milliseconds 551 85 47 201 151 141 87 273 107 103 288 507 94 701 149 151 83 198 54 141 135 64 175 182 51
Character a f o u n d a t i o n a l r o l e t h r o u
Milliseconds 167 67 524 99 59 159 59 141 125 86 37 77 112 74 114 120 96 131 64 57 148 84 110 69 62
Character g h o u t c a l c u l u s .
Milliseconds 87 115 138 86 120 48 226 126 65 111 105 373 159 75 76
WPM Timing
Seconds WPM
2.48 24.23
4.95 65.42
7.43 82.38
9.9 81.17
12.38 77.54
14.86 85.61
17.33 86.54
19.81 86.02
22.29 86.69
24.76 87.71
27.24 88.11
29.71 90.06
32.19 92.08
34.67 92.08
37.14 92.4
39.62 89.35
42.1 88.94
44.57 89.38
47.05 88.5
49.52 86.99
52 87.46
54.48 88.55
56.95 87.65
59.43 84.4
61.91 84.9
64.38 85.18
66.86 85.25
69.33 83.77
71.81 84.89
74.29 84.81
76.76 84.57
79.24 85.11
81.72 84.29
84.19 83.95
86.67 84.18
89.14 84.4
91.62 84.61
94.1 83.91
96.57 84.12
99.05 84.44
101.53 84.75
104 84.58
106.48 84.64
108.95 85.47
111.43 84.97
113.91 84.81
116.38 83.52
118.86 82.99
121.34 83.47
123.81 83.74