hhesenjan (hhesenjan)

Race #2547

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Official speed 80.63 wpm (128.59 seconds elapsed during race)
Without ending ping 80.71 wpm (129 ms delay sending score to TypeRacer’s server)
Timerless 81.09 wpm (605 ms elapsed before first character typed; 127.85 seconds elapsed during race)
Timerless minus one 81.00 wpm, ignoring the first character typed
Race Start October 2, 2023 12:19:13pm UTC
Race Finish October 2, 2023 12:21:22pm UTC
Outcome No win (3 of 3)
Opponents 1. poized (86.61 wpm)
Accuracy 96.7%
Points 217.69
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 Caclculus 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? HJoow does the level of water in a barrewell l change as a function of the amount of liquid poured into it? We see tchange aoccurrrinriing ain enearly everything we observer in in the world and universe, and powerful modern instruments helps us us see more and moe.re. In this section we itntroduce the ides as od f average and instatnanattanoueus ous rates of change, and show that they are closely related to the slope of a curve at a point P aon the curv.e e. We give precise cdeveloipmpments of these importantc on contecepts in then next chapter, but for now we use a n informal approach so you will see how they lead naturally to the main idea of this chapter, the limit. Tehe idea of a limit plays a foundational role throughjout calclulus.
Timing
Character C a c -c l c u l u s i s a t o o l t h a t
Milliseconds 605 245 341 349 227 106 258 310 195 102 136 119 97 76 118 87 142 76 134 145 111 158 91 108 121
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 92 93 95 157 159 103 106 128 97 80 319 140 87 122 144 154 154 158 79 87 97 102 150 39 112
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 86 130 105 87 88 99 80 136 93 124 130 31 158 123 46 99 221 130 100 118 157 110 99 117 135
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 142 120 89 217 152 168 89 166 128 135 85 100 93 61 103 122 135 120 58 130 63 124 99 99 135
Character a n o t h e r . H o w d o e s t h e s p
Milliseconds 45 96 128 145 58 118 56 138 67 105 173 155 40 122 106 62 106 135 47 149 98 75 105 78 25
Character e e d o f a f a l l i n g o b j e c t c
Milliseconds 135 130 126 134 109 74 115 74 125 122 121 84 308 187 137 41 133 121 164 182 70 153 147 115 223
Character h a n g e a s a f u n c t i o n o f t i
Milliseconds 96 72 110 79 151 115 75 153 193 181 169 143 113 135 67 147 36 31 92 51 173 11 120 120 36
Character m e ? H J o -o -J o w d o e s t h e l e v e
Milliseconds 145 48 345 105 192 0 170 235 126 168 71 104 115 79 92 141 59 125 80 94 104 160 71 143 120
Character l o f w a t e r i n a b a r r e w e l -l
Milliseconds 82 86 123 70 116 38 128 158 145 139 93 76 134 80 189 128 144 55 171 118 179 194 0 136 257
Character -e l - -l -w l c h a n g e a s a f u n c t
Milliseconds 124 224 112 281 129 145 288 141 180 127 67 116 65 141 112 95 130 90 95 111 138 122 131 42 164
Character i o n o f t h e a m o u n t o f l i q u
Milliseconds 40 38 83 91 139 57 82 99 47 116 72 260 128 155 158 160 65 108 101 57 72 84 175 70 416
Character i d p o u r e d i n t o i t ? W e s e e
Milliseconds 173 96 114 204 208 310 165 377 167 99 80 123 68 125 103 111 50 275 99 120 198 89 102 142 136
Character t -t c h a n g e a -a o c c u r r r i n -n -i -r r
Milliseconds 82 142 282 111 93 83 112 53 146 216 150 355 168 52 132 104 100 192 128 155 162 230 107 128 109
Character i -i -r i n g a -a i n e -e n e a r l y e v e r
Milliseconds 110 302 120 203 153 70 115 94 297 185 134 53 167 326 168 29 127 149 37 142 82 90 150 117 167
Character y t h i n g w e o b s e r v e r i n -n -i - -r
Milliseconds 140 42 150 124 114 41 143 70 153 61 264 168 88 137 147 140 146 125 88 124 121 224 110 131 118
Character i n t h e w o r l d a n d u n i v e r s
Milliseconds 176 56 216 137 234 146 138 173 77 95 64 124 65 84 163 91 78 101 90 156 167 41 142 127 156
Character e , a n d p o w e r f u l m o d e r n i n
Milliseconds 127 85 76 90 115 52 101 206 168 47 156 144 145 115 165 103 66 143 30 366 158 110 139 277 162
Character s t r u m e n t s h e l p s u s -s -u - -s u s
Milliseconds 94 174 143 0 200 108 114 39 170 47 196 140 101 130 73 121 99 101 192 110 117 133 129 122 107
Character s e e m o r e a n d m o e . -. -e r e . I
Milliseconds 88 299 160 109 97 90 121 30 133 77 132 110 69 115 86 139 169 178 275 110 112 136 82 128 129
Character n t h i s s e c t i o n w e i t -t n t r o
Milliseconds 142 175 119 115 129 34 130 73 150 140 164 73 23 88 75 93 142 81 242 139 328 242 201 135 86
Character d u c e t h e i d e s - -s a s o d - -d f
Milliseconds 104 107 90 134 90 115 69 103 86 82 80 149 179 269 178 132 101 135 103 209 105 126 367 111 118
Character a v e r a g e a n d i n s t a t n a -a -n -t n
Milliseconds 153 141 184 177 137 147 139 131 115 114 147 95 95 115 127 84 301 226 194 138 115 248 111 122 186
Character a t -t -a t a n o u -u -o e u s - -s -u o u s r a t
Milliseconds 65 177 391 101 338 197 112 154 153 317 137 169 149 90 137 293 115 127 180 163 124 107 207 278 182
Character e s o f c h a n g e , a n d s h o w t h
Milliseconds 133 164 80 521 101 126 107 93 98 82 100 131 70 191 100 143 56 119 142 92 155 41 99 121 111
Character a t t h e y a r e c l o s e l y r e l a t
Milliseconds 160 168 107 78 75 99 96 69 45 142 121 94 68 77 170 93 150 114 189 63 108 128 79 86 174
Character e d t o t h e s l o p e o f a c u r v
Milliseconds 142 157 83 114 90 69 131 87 100 101 136 87 164 143 70 91 84 105 79 259 119 121 141 86 151
Character e a t a p o i n t P a -a o n t h e c
Milliseconds 230 63 134 195 153 137 103 120 178 156 128 46 143 273 103 175 352 170 164 75 125 52 108 89 203
Character u r v . e - -e -. e . W e g i v e p r e c i
Milliseconds 75 99 144 105 52 140 281 105 138 144 174 142 175 167 67 122 81 100 132 66 133 80 135 150 142
Character s e c -c d e v e l o i p m -m -p -i p m e n t s o
Milliseconds 175 144 106 178 246 59 149 134 129 41 163 11 114 183 182 125 441 183 183 106 118 39 170 94 107
Character f t h e s e i m p o r t a n t c o n -n -o - -c
Milliseconds 94 153 135 109 66 157 144 17 137 139 132 157 47 148 170 122 67 189 0 46 156 272 116 134 124
Character c o n t e -e -t c e p t s i n t h e n - -n
Milliseconds 106 82 40 138 71 166 280 119 134 154 112 97 196 109 78 132 77 168 206 115 292 34 379 125 133
Character n e x t c h a p t e r , b u t f o r n o w
Milliseconds 77 84 148 170 100 123 154 116 137 90 154 133 98 83 141 143 75 124 130 85 74 124 56 177 80
Character w e u s e a - n i n f o r m a l a p p
Milliseconds 125 84 154 97 120 62 147 102 144 85 303 199 116 122 151 118 146 59 127 74 139 85 157 114 135
Character r o a c h s o y o u w i l l s e e h o w
Milliseconds 65 123 64 131 124 122 142 131 80 187 155 79 73 88 69 155 126 70 146 155 128 93 115 132 88
Character t h e y l e a d n a t u r a l l y t o t
Milliseconds 28 280 140 89 93 111 124 47 143 137 115 82 49 168 102 82 157 82 129 165 109 279 131 74 106
Character h e m a i n i d e a o f t h i s c h a p
Milliseconds 74 99 65 100 154 17 160 110 124 56 154 122 120 120 70 104 106 51 128 87 95 153 85 101 171
Character t e r , t h e l i m i t . T e -e h e i d e
Milliseconds 179 171 128 92 132 240 119 74 99 82 163 127 140 106 119 109 234 174 376 186 61 113 116 60 141
Character a o f a l i m i t p l a y s a f o u n
Milliseconds 128 147 158 94 109 130 111 418 192 155 131 69 117 50 160 114 174 84 104 75 121 119 141 167 169
Character d a t i o n a l r o l e t h r o u g h j -j o u
Milliseconds 51 169 194 68 90 76 195 159 125 132 114 152 45 109 114 68 110 50 136 165 0 155 340 196 157
Character t c a l c l -l u l u s .
Milliseconds 94 116 129 137 92 389 187 470 202 185 168 107 111
WPM Timing
Seconds WPM
2.57 28
5.14 65.33
7.72 76.21
10.29 83.99
12.86 87.72
15.43 92.54
18 93.99
20.57 93.32
23.15 92.28
25.72 94.72
28.29 91.2
30.86 89.82
33.43 91.89
36 89.66
38.58 89.28
41.15 86.91
43.72 83.72
46.29 84.77
48.86 82.76
51.43 83.76
54.01 84.43
56.58 84.2
59.15 83.79
61.72 83.41
64.29 83.24
66.87 82.55
69.44 82.26
72.01 79.99
74.58 78.04
77.15 77.92
79.72 79.02
82.3 79.91
84.87 80.45
87.44 80.01
90.01 79.46
92.58 79.71
95.15 79.07
97.73 78.83
100.3 78.49
102.87 78.16
105.44 78.87
108.01 79.1
110.59 79.65
113.16 80.07
115.73 80.88
118.3 81.05
120.87 80.71
123.44 81.07
126.02 81.13
128.59 80.63