asdasd (asdasd94)

Race #389

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Official speed 83.77 wpm (123.77 seconds elapsed during race)
Without ending ping 83.91 wpm (203 ms delay sending score to TypeRacer’s server)
Timerless 84.61 wpm (1,024 ms elapsed before first character typed; 122.54 seconds elapsed during race)
Timerless minus one 84.51 wpm, ignoring the first character typed
Race Start March 7, 2024 6:15:25am UTC
Race Finish March 7, 2024 6:17:29am UTC
Outcome No win (2 of 5)
Accuracy 97.9%
Points 226.19
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 Caluculus is a tool that helps us understand how a change in one quantity is erelated 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 onf the aomount of liquid poured into it? We ssee cee schange coccurring in nearly everything we observe in the world and universe, and powerful modern instruments help us wsee more and more. In this asection we intoroduce the ideas of oaverage and instantaneous rates of change, and show that they are closely related to the slope tof a curve at a point P on the curve. We igive precise developments sof of these important concepts in the next cahhahapter, but for now we use an informal appraoach aso you wil see will see how they lead natuarally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout clalculus.
Timing
Character C a l u -u c u l u s i s a t o o l t h a t
Milliseconds 1024 135 167 183 615 167 136 159 165 189 188 104 60 102 132 52 144 66 126 125 144 179 126 0 92
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 50 125 84 64 96 101 132 114 50 105 147 159 83 142 90 121 117 43 168 80 92 169 34 82 89
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 137 60 138 86 114 52 90 80 68 97 55 80 109 80 52 109 263 173 247 201 191 280 45 92 159
Character i s e -e r e l a t e d t o a c h a n g e
Milliseconds 140 104 123 317 388 108 80 157 53 109 237 43 37 169 83 79 90 119 135 71 118 80 85 116 84
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 96 83 47 129 57 68 59 108 48 89 91 53 374 70 107 91 172 144 58 131 63 150 96 55 109
Character s p e e d o f a f a l l i n g o b j e c t
Milliseconds 116 125 97 97 175 142 343 115 113 85 91 138 147 107 111 134 35 90 65 164 156 190 150 192 238
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 98 229 109 64 119 96 94 98 172 115 67 148 66 151 342 167 125 335 94 50 60 92 180 79 62
Character t i m e ? H o w d o e s t h e l e v e l
Milliseconds 134 25 71 85 280 51 240 113 156 129 186 94 93 92 82 88 112 52 100 167 61 166 107 130 48
Character o f w a t e r i n a b a r r e l c h a n
Milliseconds 204 116 94 119 148 73 131 77 116 131 92 84 144 81 252 170 154 134 206 173 181 128 96 48 113
Character g e a s a f u n c t i o n o n -n f t h e
Milliseconds 68 84 112 152 76 105 116 112 131 141 107 122 154 117 20 32 134 181 84 340 140 95 160 114 76
Character a o -o m o u n t o f l i q u i d p o u r e
Milliseconds 74 133 84 437 174 126 87 151 96 77 108 74 88 167 143 296 183 128 163 97 228 110 195 221 178
Character d i n t o i t ? W e s s e e c -c - -e -e -s
Milliseconds 222 112 151 44 56 96 69 146 81 261 125 250 136 105 290 146 13 121 122 96 267 270 158 159 293
Character e e s -s c h a n g e c -c o c c u r r i n g i
Milliseconds 212 164 89 146 245 136 98 82 123 122 125 111 288 337 203 126 124 197 157 115 152 52 79 89 145
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 46 106 121 56 117 65 262 159 144 124 108 111 92 112 103 48 64 97 41 79 152 32 140 189 183
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 380 97 131 253 165 174 132 42 91 126 89 69 93 114 86 74 82 56 87 114 95 89 40 146 147
Character i v e r s e , a n d p o w e r f u l m o d e
Milliseconds 467 205 153 98 182 75 303 126 264 56 0 50 189 43 104 79 106 147 93 113 108 171 38 298 183
Character r n i n s t r u m e n t s h e l p u s w -w
Milliseconds 96 184 106 174 101 220 140 175 203 169 121 97 86 158 59 177 119 47 101 86 181 118 52 171 372
Character s e e m o r e a n d m o r e . I n t h i
Milliseconds 120 46 121 100 196 76 74 88 85 122 73 72 44 112 61 82 15 158 84 246 236 0 74 83 54
Character s a -a s e c t i o n w e i n t o -o r o d u c
Milliseconds 89 89 113 324 66 78 110 449 91 50 46 144 172 76 109 247 162 171 512 571 305 180 181 180 143
Character e t h e i d e a s o f o -o a v e r a g e
Milliseconds 143 90 159 80 54 83 158 101 132 140 120 208 160 90 89 266 459 61 158 128 78 159 121 104 81
Character a n d i n s t a n t a n e o u s r a t e s o
Milliseconds 151 43 96 39 146 67 100 98 139 175 241 199 187 894 208 156 142 177 104 81 144 119 127 128 185
Character f c h a n g e , a n d s h o w t h a t t
Milliseconds 63 85 153 115 54 122 80 101 143 91 160 92 52 110 155 46 49 104 81 111 120 15 87 84 200
Character h e y a r e c l o s e l y r e l a t e d t
Milliseconds 138 108 40 85 148 47 104 68 148 66 140 122 48 606 159 92 161 67 106 131 102 146 111 112 136
Character o t h e s l o p e t -t o f a c u r v e
Milliseconds 39 70 99 111 39 98 136 55 151 122 128 108 128 292 183 55 90 127 58 188 152 74 208 145 66
Character a t a p o i n t P o n t h e c u r v e
Milliseconds 166 104 80 172 62 188 124 0 45 70 70 241 137 383 81 59 148 97 50 105 156 153 259 352 193
Character . W e i -i g i v e p r e c i s e d e v e l
Milliseconds 110 64 199 146 137 268 335 122 159 123 74 91 224 160 188 198 137 176 57 191 300 140 175 40 70
Character o p m e n t s s o f - -f -o -s o f t h e s e
Milliseconds 147 119 325 128 102 112 141 98 37 112 58 79 401 164 112 169 235 117 58 145 74 75 116 94 91
Character i m p o r t a n t c o n c e p t s i n t h e
Milliseconds 229 85 139 89 184 162 149 186 128 171 201 128 62 193 196 212 148 189 100 135 66 66 120 90 41
Character n e x t c a h -h h a -a -h -a h a p t e r , b u
Milliseconds 89 84 72 155 131 72 203 256 103 284 397 104 263 172 100 267 105 119 168 130 127 98 187 107 144
Character t f o r n o w w e u s e a n i n f o r
Milliseconds 186 0 93 84 62 100 159 59 82 86 133 63 113 124 63 70 99 139 62 102 149 51 145 155 84
Character m a l a p p r a -a o a c h a -a s o y o u w
Milliseconds 97 125 140 95 151 120 110 401 203 583 188 95 129 152 107 86 315 165 61 70 143 96 57 55 105
Character i l s e e -s -e -e - -w -i -l - w i l l s e e h
Milliseconds 173 183 197 131 100 124 103 297 0 0 0 137 0 0 0 332 67 191 122 80 146 58 151 120 103
Character o w t h e y l e a d n a t u a -a r a l l y
Milliseconds 48 88 40 134 96 104 26 60 201 172 135 75 166 539 101 119 148 393 324 46 99 120 109 138 80
Character t o t h e m a i n i d e a o f t h i s
Milliseconds 288 81 95 88 81 74 70 131 89 93 44 99 175 40 167 56 101 121 61 85 113 55 59 106 50
Character c h a p t e r , t h e l i m i t . T h e i
Milliseconds 198 109 61 146 140 131 86 92 102 164 149 55 104 262 100 110 131 167 152 96 250 109 80 66 518
Character d e a o f a l i m i t p l a y s a f o
Milliseconds 111 150 111 147 140 62 87 167 114 149 75 116 123 143 84 157 115 117 113 111 100 159 97 163 69
Character u n d a t i o n a l r o l e t h r o u g h o u
Milliseconds 76 182 27 142 74 63 66 187 43 46 82 180 123 88 127 21 166 63 141 18 75 102 72 124 59
Character t c l -l a l c u l u s .
Milliseconds 85 69 216 275 476 132 172 245 124 134 269 125 112
WPM Timing
Seconds WPM
2.48 24.24
4.95 65.45
7.43 80.8
9.9 84.84
12.38 83.38
14.85 89.68
17.33 90.72
19.8 90.9
22.28 90.49
24.75 92.11
27.23 92.99
29.7 93.32
32.18 91.74
34.65 90.72
37.13 90.17
39.61 86.05
42.08 84.12
44.56 85.38
47.03 85.73
49.51 86.29
51.98 86.8
54.46 86.6
56.93 86.84
59.41 87.06
61.88 85.71
64.36 85.58
66.83 85.46
69.31 84.14
71.79 84.92
74.26 86.13
76.74 86.32
79.21 86.2
81.69 86.53
84.16 85.55
86.64 85.46
89.11 84.3
91.59 84.51
94.06 84.84
96.54 83.28
99.01 84.23
101.49 83.71
103.96 83.11
106.44 82.64
108.92 82.3
111.39 82.63
113.87 83.36
116.34 83.24
118.82 83.62
121.29 84.59
123.77 83.77