Arjun (arjunprogramming)

Race #126

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Official speed 87.44 wpm (118.57 seconds elapsed during race)
Without ending ping 87.52 wpm (104 ms delay sending score to TypeRacer’s server)
Timerless 87.83 wpm (417 ms elapsed before first character typed; 118.05 seconds elapsed during race)
Timerless minus one 87.72 wpm, ignoring the first character typed
Race Start August 21, 2024 3:31:41pm UTC
Race Finish August 21, 2024 3:33:40pm UTC
Outcome Win (1 of 4)
Opponents 4. thefallz (73.65 wpm)
Accuracy 97.0%
Points 236.08
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 its a tool that helps us iunsderstand how a change in one wquantity is related to a change in another. How thdoes the speed of a falling object change as a function of time? How thdoes the level of water in a dbarrwlel change as a function of the amount of liquid pourided into it? We see change occuriroing in nearly everything we observe in the world and universe, and powerful modern instruments help us see more thaan dd more. In this section we intruoduce the ideas of average and instantaneous rates of change, and show that they are closely releated to the slope of a curve at a point P on the curve. We give prescicese developments of these important comncepts in the next chapter, but forn o now we use an informa ll aapproach so you will see how they lead naturally to the main idea of this chaperster, the limit. The idea of a limit plays a foundational role throughout caldcculus.
Timing
Character C a l c u l u s i t -t s a t o o l t h a t
Milliseconds 417 120 121 134 132 151 186 114 102 88 132 311 68 98 103 95 118 79 138 196 126 107 74 115 36
Character h e l p s u s i -i u n s -s d e r s t a n d
Milliseconds 57 81 109 82 269 166 92 106 112 140 83 291 186 91 101 244 88 193 107 133 115 118 67 112 69
Character h o w a c h a n g e i n o n e w -w q u a
Milliseconds 101 69 53 91 134 102 96 89 116 74 112 107 77 81 75 73 130 56 84 99 141 369 105 111 142
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 134 100 106 92 121 105 120 101 70 87 80 114 134 98 103 100 70 155 38 169 180 172 128 186 127
Character n g e i n a n o t h e r . H o w t h -h -t d
Milliseconds 107 108 120 89 126 60 115 100 101 162 34 99 120 48 69 108 274 198 86 94 123 101 253 126 39
Character o e s t h e s p e e d o f a f a l l i n
Milliseconds 156 56 88 168 11 171 190 116 169 154 105 85 165 162 100 117 122 147 131 116 73 103 142 254 114
Character g o b j e c t c h a n g e a s a f u n c
Milliseconds 135 77 120 102 67 112 149 186 35 133 83 119 65 130 114 85 90 125 123 99 104 61 121 68 40
Character t i o n o f t i m e ? H o w t h -h -t d o e
Milliseconds 222 100 67 52 112 116 72 83 82 80 79 75 357 172 238 234 103 97 82 77 276 115 80 102 101
Character s t h e l e v e l o f w a t e r i n a
Milliseconds 64 103 93 59 80 50 85 63 146 104 101 67 165 120 124 96 146 83 126 90 110 71 52 134 32
Character d -d b a r r w l -l -w e l c h a n g e a s a
Milliseconds 396 153 278 75 159 123 211 139 68 341 108 84 143 79 144 116 83 95 83 92 116 97 118 88 98
Character f u n c t i o n o f t h e a m o u n t o
Milliseconds 97 100 106 81 64 210 104 68 38 113 149 100 112 76 136 35 93 175 91 185 84 132 119 99 61
Character f l i q u i d p o u r i d -d -i e d i n t o
Milliseconds 118 54 114 60 170 173 148 116 80 134 136 283 232 184 117 250 117 19 41 140 58 94 133 101 113
Character i t ? W e s e e c h a n g e o c c u r i -i
Milliseconds 101 127 365 169 257 247 215 139 78 169 108 135 93 131 54 131 116 84 58 106 136 125 91 85 340
Character r o -o i n g i n n e a r l y e v e r y t h i
Milliseconds 110 128 384 201 101 53 136 90 69 140 256 126 84 63 118 153 80 101 163 150 84 68 147 87 101
Character n g w e o b s e r v e i n t h e w o r l
Milliseconds 120 73 153 38 108 122 117 81 268 102 100 193 205 116 63 56 88 150 83 60 98 89 39 146 81
Character d a n d u n i v e r s e , a n d p o w e r
Milliseconds 149 98 143 84 89 107 162 84 179 157 141 74 148 116 85 115 276 124 83 86 110 124 116 65 233
Character f u l m o d e r n i n s t r u m e n t s h e
Milliseconds 250 143 159 134 177 121 83 145 91 85 172 144 79 153 149 93 125 99 85 133 67 185 128 182 116
Character l p u s s e e m o r e t h a -a -h -t a n d
Milliseconds 71 309 107 130 136 202 123 122 157 129 83 110 25 54 73 106 19 99 212 123 156 140 101 115 163
Character -d - d m o r e . I n t h i s s e c t i o n
Milliseconds 176 129 53 114 116 134 35 62 149 124 330 212 104 138 78 85 58 108 137 124 222 177 89 51 85
Character w e i n t r u -u o d u c e t h e i d e a s
Milliseconds 84 153 87 92 84 80 144 120 115 364 223 89 147 149 184 83 101 60 76 47 98 102 140 119 144
Character o f a v e r a g e a n d i n s t a n t a n
Milliseconds 124 48 108 100 1899 125 162 84 144 132 87 230 321 80 102 72 116 80 48 152 118 78 104 150 118
Character e o u s r a t e s o f c h a n g e , a n d
Milliseconds 213 376 112 113 125 290 179 74 100 134 142 41 98 65 122 96 91 120 85 140 178 103 99 71 84
Character s h o w t h a t t h e y a r e c l o s e
Milliseconds 114 116 80 73 114 86 316 92 90 68 84 94 73 96 121 58 122 246 116 186 128 158 175 161 33
Character l y r e l e -e a t e d t o t h e s l o p e
Milliseconds 137 189 87 104 148 0 117 472 131 41 72 118 100 123 100 122 136 83 93 61 146 66 320 210 123
Character o f a c u r v e a t a p o i n t P
Milliseconds 94 74 114 82 101 126 56 103 102 164 119 89 153 86 115 117 162 326 147 220 165 106 111 316 134
Character o n t h e c u r v e . W e g i v e p r e
Milliseconds 179 132 66 151 120 54 90 107 68 125 186 138 75 111 228 230 138 99 86 95 139 76 75 74 74
Character s -s c i c e -e -c s e d e v e l o p m e n t s o
Milliseconds 118 548 81 154 190 194 212 118 132 113 123 199 172 149 116 129 314 212 318 87 94 80 147 115 50
Character f t h e s e i m p o r t a n t c o m -m n c e
Milliseconds 86 52 112 69 165 183 164 137 77 205 106 127 151 120 299 32 334 157 172 116 135 337 195 124 160
Character p t s i n t h e n e x t c h a p t e r ,
Milliseconds 187 145 160 104 162 111 49 148 65 81 74 81 85 220 196 70 96 150 169 145 152 152 60 172 85
Character b u t f o r n o -o - -n n o w w e u s e
Milliseconds 179 92 96 50 117 87 71 124 44 172 320 114 158 154 137 102 82 67 273 96 132 101 103 93 106
Character a n i n f o r m a l -l - l a a -a p p r o a c
Milliseconds 188 250 117 119 56 218 104 109 54 163 194 156 297 105 203 80 117 199 419 247 151 149 98 118 144
Character h s o y o u w i l l s e e h o w t h e
Milliseconds 119 188 168 36 179 189 133 99 131 102 92 155 194 155 68 100 154 130 64 96 71 90 80 82 108
Character y l e a d n a t u r a l l y t o t h e m
Milliseconds 107 85 134 100 53 111 100 72 101 109 91 114 78 69 186 315 103 134 90 70 114 74 108 74 116
Character a i n i d e a o f t h i s c h a p e r s -s
Milliseconds 117 86 80 100 136 114 136 148 70 95 67 87 95 62 89 76 92 168 67 123 55 186 45 169 363
Character -r -e t e r , t h e l i m i t . T h e i d e
Milliseconds 127 145 200 152 41 127 99 151 48 102 26 186 98 142 97 136 112 132 183 136 32 69 136 29 199
Character a o f a l i m i t p l a y s a f o u n
Milliseconds 87 132 99 47 92 66 145 111 125 116 119 295 238 93 141 92 121 119 132 84 114 70 107 58 33
Character d a t i o n a l r o l e t h r o u g h o u t
Milliseconds 84 164 151 128 72 104 160 103 101 120 93 136 77 117 90 104 49 115 83 25 138 112 89 73 89
Character c a l d c -c -d c u l u s .
Milliseconds 164 140 103 176 120 302 127 107 117 111 188 100 131
WPM Timing
Seconds WPM
2.37 65.78
4.74 83.49
7.11 82.65
9.49 86.02
11.86 91.08
14.23 92.77
16.6 90.36
18.97 91.08
21.34 94.46
23.71 91.59
26.09 94.3
28.46 90.66
30.83 92.64
33.2 93.61
35.57 92.1
37.94 91.08
40.31 89.6
42.69 90.52
45.06 91.35
47.43 91.59
49.8 91.57
52.17 91.54
54.54 90.64
56.91 90.03
59.29 89.67
61.66 89.92
64.03 87.9
66.4 87.83
68.77 88.29
71.14 88.89
73.52 88.47
75.89 89.03
78.26 88.78
80.63 88.7
83 87.9
85.37 87.29
87.74 87.53
90.12 86.82
92.49 87.06
94.86 86.66
97.23 86.64
99.6 85.42
101.97 85.55
104.34 86.37
106.72 86.92
109.09 86.46
111.46 86.88
113.83 87.18
116.2 87.78
118.57 87.44