lioshik101 (lioshik101)

Race #10

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Official speed 87.95 wpm (117.89 seconds elapsed during race)
Without ending ping 88.17 wpm (297 ms delay sending score to TypeRacer’s server)
Timerless 88.50 wpm (432 ms elapsed before first character typed; 117.16 seconds elapsed during race)
Timerless minus one 88.39 wpm, ignoring the first character typed
Race Start October 26, 2023 3:20:52pm UTC
Race Finish October 26, 2023 3:22:50pm UTC
Outcome Win (1 of 4)
Accuracy 98.2%
Points 237.46
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 auus us understand how a change in one quantity is related to a change in another. How does the speed of a falling ojbject change as a function of time/ // ? HOw ow does the leverll of water in a barrel change as a function of the amount of liquid puooured into it? We see change occurring in nearly everything we observe int the world and universe, and powerful modern insturuments help us see more and more. In this section we introduce the idead s of averatge and intastantaneous rates of change ,, and show that they are closely related to the slope of a curve at a point P on the curve. We giver precise developments of these important concepts in the next chapter, but for now we use an informal papproach so you will see how they lead naturally to the main idead of this chapter, the limit. The idea of a limit plyays a foundational role hthroughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 432 316 192 158 131 139 122 261 103 149 86 106 108 119 114 101 140 163 19 200 131 28 72 72 112
Character e l p s a u -u u s - -s -u -a u s u n d e r s t
Milliseconds 71 110 140 80 69 244 104 235 233 147 80 174 162 130 109 182 84 85 171 160 62 163 75 235 149
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 84 111 96 74 89 44 72 42 288 99 150 119 88 121 104 103 82 119 64 92 89 81 88 0 493
Character u a n t i t y i s r e l a t e d t o a c
Milliseconds 109 166 142 150 90 67 121 62 167 83 68 130 69 149 80 83 89 190 52 120 82 152 96 116 115
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 112 71 115 72 93 81 72 51 106 90 71 71 66 124 86 57 81 133 232 195 90 57 166 84 83
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 150 72 100 108 44 95 104 101 92 125 203 51 129 107 84 102 124 193 100 74 99 182 90 62 74
Character o j -j b j e c t c h a n g e a s a f u n c
Milliseconds 259 404 311 92 67 115 188 99 101 250 56 126 64 69 102 88 136 105 97 108 105 144 127 186 217
Character t i o n o f t i m e / - -/ / -/ / - -/ ? H
Milliseconds 97 41 52 91 104 123 110 68 222 61 71 85 136 157 293 109 218 452 227 229 269 128 369 165 173
Character O w - -w -O o w d o e s t h e l e v e r l -l
Milliseconds 36 160 70 269 119 128 206 64 85 187 22 114 131 71 136 111 77 64 108 65 131 145 73 198 243
Character -r l o f w a t e r i n a b a r r e l c
Milliseconds 91 187 57 148 92 60 305 156 116 121 85 77 145 57 63 146 156 191 157 123 127 153 94 88 138
Character h a n g e a s a f u n c t i o n o f t h
Milliseconds 74 83 110 537 150 90 201 104 109 116 123 147 122 389 130 140 72 79 58 96 131 71 81 116 85
Character e a m o u n t o f l i q u i d p u o -o -u o
Milliseconds 71 87 142 72 62 129 161 76 52 102 194 95 74 333 171 254 68 249 68 193 182 75 297 128 187
Character u r e d i n t o i t ? W e s e e c h a n
Milliseconds 77 162 178 179 47 76 50 60 92 86 154 221 238 116 222 171 112 113 61 143 119 101 77 82 100
Character g e o c c u r r i n g i n n e a r l y e v
Milliseconds 73 79 96 99 80 128 178 142 146 151 79 66 95 223 65 82 131 99 88 74 61 99 67 91 184
Character e r y t h i n g w e o b s e r v e i n t -
Milliseconds 108 68 67 145 71 51 144 76 81 116 61 96 253 113 279 56 156 221 116 67 57 66 94 35 346
Character -t t h e w o r l d a n d u n i v e r s e ,
Milliseconds 133 82 172 106 104 76 201 4 119 112 96 92 202 170 71 81 142 167 48 136 151 86 173 66 178
Character a n d p o w e r f u l m o d e r n i n s t
Milliseconds 80 142 107 73 51 106 18 86 49 71 184 96 110 111 122 44 96 177 56 111 78 138 61 68 98
Character u -u r u m e n t s h e l p u s s e e m o r
Milliseconds 211 457 129 99 184 128 78 115 85 34 157 94 98 334 126 159 119 80 131 38 156 133 148 53 77
Character e a n d m o r e . I n t h i s s e c t i
Milliseconds 34 46 169 71 116 58 94 34 80 43 117 88 142 172 67 155 4 49 84 82 125 56 356 181 77
Character o n w e i n t r o d u c e t h e i d e a d
Milliseconds 28 111 51 99 34 105 85 57 379 147 142 144 112 97 427 137 134 91 63 81 115 70 144 122 112
Character - -d s o f a v e r a t -t g e a n d i n t
Milliseconds 176 275 121 115 97 138 95 81 322 115 153 82 146 66 336 118 126 80 179 100 95 58 518 51 152
Character a -a -t s t a n t a n e o u s r a t e s o f c
Milliseconds 212 281 129 527 102 139 161 215 247 146 113 135 86 90 101 173 78 122 96 187 67 119 94 56 216
Character h a n g e , -, - , a n d s h o w t h a t
Milliseconds 100 48 147 84 103 116 88 326 105 201 88 175 135 67 81 127 62 41 122 39 133 103 91 62 76
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 162 88 128 123 75 130 79 124 34 210 42 124 73 38 115 142 154 221 54 103 121 77 95 192 62
Character t o t h e s l o p e o f a c u r v e a
Milliseconds 345 90 177 333 145 104 81 126 43 166 54 78 58 137 108 62 315 80 123 115 89 186 120 78 125
Character t a p o i n t P o n t h e c u r v e .
Milliseconds 94 82 168 99 170 64 158 66 62 67 161 130 120 84 44 142 105 86 75 172 111 75 194 100 236
Character W e g i v e r - -r p r e c i s e d e v e
Milliseconds 115 223 188 117 109 115 80 101 95 81 358 143 84 133 78 41 244 114 106 77 56 157 119 151 122
Character l o p m e n t s o f t h e s e i m p o r t a
Milliseconds 75 179 9 400 152 92 81 97 86 134 318 66 129 57 150 143 52 58 150 89 118 49 189 189 157
Character n t c o n c e p t s i n t h e n e x t c
Milliseconds 157 121 95 291 71 60 102 164 65 108 115 90 129 66 76 154 84 93 53 119 96 193 169 81 173
Character h a p t e r , b u t f o r n o w w e u s
Milliseconds 83 121 79 156 131 70 115 103 122 53 131 71 173 77 95 67 111 69 31 74 118 75 273 160 94
Character e a n i n f o r m a l p -p a p p r o a c h
Milliseconds 39 76 310 74 205 144 57 300 177 241 116 261 240 117 81 325 136 110 129 152 76 130 200 90 104
Character s o y o u w i l l s e e h o w t h e y
Milliseconds 116 52 90 100 103 82 70 126 77 179 121 80 125 81 263 185 219 66 66 59 249 407 120 115 71
Character l e a d n a t u r a l l y t o t h e m a i
Milliseconds 158 61 93 126 93 99 96 90 133 93 102 89 94 210 61 125 28 146 132 50 100 87 193 142 452
Character n i d e a d - -d o f t h i s c h a p t e
Milliseconds 58 112 173 99 145 146 91 61 304 121 126 116 76 115 157 31 42 84 69 167 132 89 254 119 138
Character r , t h e l i m i t . T h e i d e a o f
Milliseconds 71 124 96 108 92 75 82 18 48 180 51 96 186 110 238 172 71 80 107 78 143 131 298 194 106
Character a l i m i t p l y -y a y s a f o u n d a
Milliseconds 71 107 110 201 76 164 75 91 65 110 175 143 358 113 86 243 79 203 107 111 148 74 179 81 88
Character t i o n a l r o l e h -h t h r o u g h o u t
Milliseconds 403 394 86 152 103 81 86 176 88 202 120 64 350 301 116 78 112 18 63 119 81 206 87 135 88
Character c a l c u l u s .
Milliseconds 162 196 279 307 113 250 94 190 99
WPM Timing
Seconds WPM
2.36 66.17
4.72 76.35
7.07 67.86
9.43 81.44
11.79 83.47
14.15 91.61
16.5 93.07
18.86 90.98
21.22 91.61
23.58 89.07
25.93 82.36
28.29 82.28
30.65 82.61
33.01 82.53
35.37 84.15
37.72 83.66
40.08 82.93
42.44 83.98
44.8 85.72
47.15 85.51
49.51 86.04
51.87 87.68
54.23 87.41
56.58 88.65
58.94 89.78
61.3 89.46
63.66 88.03
66.02 86.52
68.37 86.35
70.73 85.85
73.09 87.02
75.45 87
77.8 87.6
80.16 88.17
82.52 87.54
84.88 87.66
87.24 88.04
89.59 88.53
91.95 89
94.31 88.94
96.67 88.39
99.02 88.83
101.38 88.89
103.74 88.95
106.1 88.79
108.45 89.18
110.81 88.91
113.17 88.54
115.53 88.39
117.89 87.95