John Doe (slippysam)

Race #84

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Official speed 82.53 wpm (125.63 seconds elapsed during race)
Without ending ping 82.64 wpm (166 ms delay sending score to TypeRacer’s server)
Timerless 82.85 wpm (315 ms elapsed before first character typed; 125.15 seconds elapsed during race)
Timerless minus one 82.75 wpm, ignoring the first character typed
Race Start November 15, 2023 8:32:39pm UTC
Race Finish November 15, 2023 8:34:44pm UTC
Outcome No win (3 of 4)
Opponents 1. ken_dama (101.00 wpm)
4. sweetapple6911 (80.71 wpm)
Accuracy 97.9%
Points 222.83
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 quanittity 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 ina a a barrel change as a function of the amount of liquid piououred into tiit? We see change occuring iing ring in nearly everything we observe in the world and universes, and powerful modern instruments help us see more and more. In this section we introudcduicce the ideas of average and instantaneous rates ocf change, and sshow that they are closely realtelated to the slope of a curve at a pointP P oin nn the curve, .e. We give precise develop ements of these important concepts in the next chapter, but for now we use an informal approach so you will see how they lead natuarally to the main idea of this chapter, the limit. The idea osff a limit plays a foundational role throughnout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 315 216 122 131 60 170 213 131 91 167 104 90 157 93 111 92 137 138 160 136 56 110 62 34 195
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 132 121 85 154 92 165 78 91 166 82 55 141 83 165 86 107 150 159 33 193 59 159 91 130 68
Character c h a n g e i n o n e q u a n i t -t -i t i t
Milliseconds 109 59 133 95 109 105 94 140 81 141 141 78 162 143 105 94 233 68 82 164 382 111 153 90 133
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 82 169 192 155 91 135 81 124 100 88 57 193 116 111 62 163 105 92 135 114 79 89 115 78 172
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 167 54 166 74 125 115 50 117 108 84 41 162 272 171 128 92 107 94 104 80 91 140 59 136 61
Character s p e e d o f a f a l l i n g o b j e c t
Milliseconds 136 97 205 164 190 59 224 182 114 105 93 136 185 96 139 136 79 84 87 145 104 144 106 109 221
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 112 265 89 74 98 110 79 146 131 190 142 51 174 109 90 55 83 195 60 60 80 197 168 77 91
Character t i m e ? H o w d o e s t h e l e v e l
Milliseconds 79 94 111 105 230 213 323 145 102 92 134 95 103 79 92 142 57 163 8 147 98 120 105 98 107
Character o f w a t e r i n a a -a - -a a b a r r e
Milliseconds 167 80 88 77 110 92 140 108 36 171 56 211 10 368 310 112 112 230 132 63 167 49 172 163 163
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 171 186 264 115 49 123 110 53 120 259 113 118 105 88 87 91 57 107 169 59 63 53 169 169 77
Character t h e a m o u n t o f l i q u i d p i o
Milliseconds 89 81 92 134 34 135 95 83 216 56 139 88 167 79 88 142 137 180 93 58 186 324 194 212 218
Character u -u -o -i o u r e d i n t o t i -i -t i t ? W e
Milliseconds 160 249 112 474 210 160 78 84 168 86 145 55 139 91 159 137 60 509 113 183 108 253 237 241 144
Character s e e c h a n g e o c c u r i n g i -i - -g
Milliseconds 114 159 165 112 90 109 84 83 117 113 104 172 168 105 189 117 82 91 106 84 86 145 249 112 136
Character -n -i i n g - -g -n -i r i n g i n n e a r l y
Milliseconds 112 112 752 108 138 138 278 111 112 112 254 298 81 165 57 171 80 141 138 107 135 33 174 109 81
Character e v e r y t h i n g w e o b s e r v e i n
Milliseconds 190 59 112 83 63 141 83 89 111 139 87 106 82 117 224 132 263 137 110 247 79 115 146 79 166
Character t h e w o r l d a n d u n i v e r s e s -s ,
Milliseconds 87 111 109 61 108 97 78 144 156 142 104 95 106 35 169 55 221 186 134 110 191 112 107 519 262
Character a n d p o w e r f u l m o d e r n i n s t
Milliseconds 78 186 94 132 60 200 188 102 57 86 195 7 197 159 167 83 134 136 84 64 167 140 81 52 65
Character r u m e n t s h e l p u s s e e m o r e
Milliseconds 111 90 169 131 91 78 139 117 241 134 115 114 240 164 105 65 134 138 139 60 170 82 23 60 124
Character a n d m o r e . I n t h i s s e c t i o n
Milliseconds 104 94 107 61 170 56 80 33 95 162 300 165 164 109 84 63 134 66 106 82 114 220 34 63 53
Character w e i n t r o u d c -c -d -u d u i c -c -i c e t
Milliseconds 351 131 84 120 167 80 108 86 66 398 158 138 228 112 112 175 170 4 112 330 112 126 105 121 188
Character h e i d e a s o f a v e r a g e a n d i
Milliseconds 58 162 60 172 48 168 80 138 121 168 105 85 108 117 162 108 111 140 83 145 77 124 106 59 171
Character n s t a n t a n e o u s r a t e s o c -c f c
Milliseconds 106 446 426 157 94 213 211 119 288 146 159 133 61 138 134 88 57 111 117 145 158 306 99 87 136
Character h a n g e , a n d s -s s h o w t h a t t h
Milliseconds 85 108 65 139 79 202 51 104 125 133 60 213 359 150 117 87 156 91 112 86 80 62 116 137 87
Character e y a r e c l o s e l y r e a l t e -e -t -l -a
Milliseconds 82 168 190 105 85 84 90 140 90 140 77 137 147 134 106 135 81 84 126 158 80 180 139 112 110
Character l a t e d t o t h e s l o p e o f a c
Milliseconds 185 97 92 57 219 91 136 35 139 110 83 112 59 163 66 166 110 184 34 198 79 89 75 117 84
Character u r v e a t a p o i n t P - -P P o i n
Milliseconds 145 108 113 157 91 134 144 112 106 63 172 188 137 53 110 282 318 198 138 256 303 188 193 30 29
Character - -n n -n -i n t h e c u r v e , - -, -e . -. e
Milliseconds 196 329 112 207 223 112 206 163 137 56 139 33 165 64 109 267 79 125 134 490 113 111 263 400 125
Character . W e g i v e p r e c i s e d e v e l o p
Milliseconds 120 158 267 117 452 110 115 109 79 120 168 49 59 168 92 103 83 120 314 138 114 106 563 164 83
Character e -e - m e n t s o f t h e s e i m p o r t
Milliseconds 163 184 230 111 183 155 93 79 107 147 143 104 88 111 58 138 54 111 173 270 134 244 136 75 168
Character a n t c o n c e p t s i n t h e n e x t
Milliseconds 76 125 136 83 163 64 58 137 106 152 130 134 117 166 81 140 136 57 190 8 324 133 241 166 113
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 264 88 106 98 104 135 137 91 82 193 84 114 82 166 62 110 59 194 58 133 92 128 86 90 145
Character s e a n i n f o r m a l a p p r o a c h s
Milliseconds 74 86 91 187 89 193 165 55 165 118 131 90 130 67 138 101 128 137 48 92 286 116 84 194 236
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 147 184 112 116 162 136 133 64 142 112 159 77 87 193 142 189 61 131 88 116 57 111 141 82 147
Character e a d n a t u a -a r a l l y t o t h e m a
Milliseconds 48 139 84 90 169 130 117 166 79 360 100 104 96 142 132 108 138 61 164 109 84 86 60 196 103
Character i n i d e a o f t h i s c h a p t e r ,
Milliseconds 91 85 191 140 50 168 78 94 196 133 87 111 114 60 132 36 191 114 76 154 104 135 110 40 82
Character t h e l i m i t . T h e i d e a o s f -f -s
Milliseconds 85 91 109 34 196 138 107 112 162 89 163 192 141 110 90 115 74 167 106 252 193 282 142 278 112
Character f a l i m i t p l a y s a f o u n d a t
Milliseconds 74 167 130 92 143 162 81 112 137 113 170 106 18 181 103 172 182 118 188 61 192 30 76 139 91
Character i o n a l r o l e t h r o u g h n -n o u t c
Milliseconds 91 62 53 108 97 106 109 93 168 131 60 140 112 162 62 164 85 86 191 353 261 188 135 57 165
Character a l c u l u s .
Milliseconds 102 128 287 89 218 264 261 121
WPM Timing
Seconds WPM
2.51 81.19
5.03 95.52
7.54 98.7
10.05 90.74
12.56 93.61
15.08 96.32
17.59 95.52
20.1 94.92
22.61 94.99
25.13 96.95
27.64 92.92
30.15 93.13
32.66 94.42
35.18 89.72
37.69 87.88
40.2 87.76
42.71 83.44
45.23 81.99
47.74 82.95
50.25 84.06
52.76 83.01
55.28 84.01
57.79 84.1
60.3 85.37
62.81 84.82
65.33 83.76
67.84 84.2
70.35 83.58
72.86 83.83
75.38 83.9
77.89 83.2
80.4 84.03
82.91 83.65
85.43 81.75
87.94 80.78
90.45 80.4
92.96 79.77
95.48 79.81
97.99 80.46
100.5 80.48
103.01 81.19
105.53 81.31
108.04 81.75
110.55 81.84
113.06 82.36
115.58 82.85
118.09 82.41
120.6 82.69
123.11 82.95
125.63 82.53