Prin (prinplup9)

Race #7580

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Official speed 98.25 wpm (105.53 seconds elapsed during race)
Without ending ping 98.38 wpm (135 ms delay sending score to TypeRacer’s server)
Timerless 98.90 wpm (555 ms elapsed before first character typed; 104.84 seconds elapsed during race)
Timerless minus one 98.78 wpm, ignoring the first character typed
Race Start February 29, 2024 9:51:54pm UTC
Race Finish February 29, 2024 9:53:40pm UTC
Outcome No win (2 of 4)
Opponents 1. konpiv (105.73 wpm)
Accuracy 98.1%
Points 265.28
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 quantity is related to a change in another. Hoew does the speed of a falling object change as a function of tmime? How does the level of water in a barerel change as a function of the amoutnt of liquid poured into it? We see change occurring in nearly everythning we boobserve in the world and univers,ee, and powerful modern instruments help us see more and more. In this rsection we introduce the ideas of average and instantanteous rates of cchhange, and show that they are closely related to the slope of a curve of at a point P on the curve. We give precise developments of these oimportant concepts i the nt the next chapter, but for now we use an informal approach so youw i 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.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 555 205 186 167 154 166 280 52 88 123 141 89 98 64 90 77 145 185 364 164 55 96 49 25 136
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 29 90 217 60 83 99 301 119 211 234 83 141 49 150 92 125 83 85 89 145 95 67 89 73 86
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 143 43 171 23 179 39 18 136 131 52 129 74 61 90 136 70 131 73 148 67 118 99 93 120 83
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 35 105 52 98 101 61 72 145 54 110 57 80 83 93 96 64 149 45 120 67 32 109 125 56 26
Character n o t h e r . H o e -e w d o e s t h e s p
Milliseconds 132 104 47 54 107 61 52 122 130 87 116 268 88 60 113 91 76 45 23 154 69 33 105 30 133
Character e e d o f a f a l l i n g o b j e c t c
Milliseconds 79 116 159 49 133 83 93 57 100 100 90 61 142 131 118 24 72 123 76 164 63 145 107 48 126
Character h a n g e a s a f u n c t i o n o f t m
Milliseconds 56 100 87 94 53 154 64 161 275 193 85 85 182 189 219 176 18 145 42 114 94 83 110 67 180
Character -m i m e ? H o w d o e s t h e l e v e l
Milliseconds 313 209 156 68 249 228 544 135 52 87 94 88 65 82 24 105 78 72 53 118 186 567 71 82 138
Character o f w a t e r i n a b a r e -e r e l c h
Milliseconds 132 62 64 97 164 80 157 29 52 103 142 85 17 126 97 231 77 220 360 83 29 114 108 51 104
Character a n g e a s a f u n c t i o n o f t h e
Milliseconds 91 88 83 37 101 69 70 46 167 18 131 136 179 71 153 27 130 90 124 91 73 64 240 291 90
Character a m o u t -t n t o f l i q u i d p o u r e
Milliseconds 53 130 54 145 73 302 240 340 89 49 121 63 15 113 111 149 89 132 76 60 470 190 89 116 98
Character d i n t o i t ? W e s e e c h a n g e
Milliseconds 170 38 100 119 77 66 56 117 18 363 133 344 224 101 97 47 143 76 127 148 144 104 84 47 69
Character o c c u r r i n g i n n e a r l y e v e r y
Milliseconds 146 30 126 137 46 136 82 117 76 63 99 107 94 83 75 62 34 70 146 90 69 137 143 51 50
Character t h n -n i n g w e b o -o -b o b s e r v e i n
Milliseconds 96 87 239 446 207 134 70 80 99 35 86 124 0 574 132 245 73 172 64 48 153 130 67 109 129
Character t h e w o r l d a n d u n i v e r s , e -e
Milliseconds 101 65 85 91 79 79 109 47 118 36 94 120 99 68 43 110 212 137 56 171 53 144 41 30 355
Character -, e , a n d p o w e r f u l m o d e r n i
Milliseconds 145 72 145 113 100 88 71 40 154 187 84 26 69 176 45 143 92 211 130 79 159 39 85 61 97
Character n s t r u m e n t s h e l p u s s e e m o
Milliseconds 113 63 28 139 64 213 76 99 48 88 56 149 93 66 233 169 151 65 60 199 41 141 157 194 90
Character r e a n d m o r e . I n t h i s r -r s e
Milliseconds 104 25 65 95 107 54 66 95 111 57 34 123 125 138 180 80 80 52 114 55 99 107 351 15 71
Character c t i o n w e i n t r o d u c e t h e i d
Milliseconds 156 117 40 136 61 101 275 33 95 179 119 44 133 65 100 104 86 152 103 82 108 68 51 126 42
Character e a s o f a v e r a g e a n d i n s t a n
Milliseconds 381 132 57 112 135 47 55 111 85 192 49 387 12 170 160 194 109 63 74 112 96 30 53 334 451
Character t a n t -t e o u s r a t e s o f c c h -h -c h
Milliseconds 125 158 147 83 356 96 138 75 106 77 292 203 56 55 61 34 134 55 65 129 268 128 259 107 183
Character a n g e , a n d s h o w t h a t t h e y
Milliseconds 66 137 79 29 101 122 17 149 60 77 98 53 102 86 69 27 122 45 71 30 104 45 37 130 143
Character a r e c l o s e l y r e l a t e d t o t h
Milliseconds 14 66 39 70 144 116 135 142 396 145 214 105 48 42 139 549 122 52 338 147 110 87 84 74 90
Character e s l o p e o f a c u r v e o f - -f -o
Milliseconds 24 119 37 81 172 200 105 104 161 120 199 142 85 110 95 70 159 79 95 167 38 123 464 129 115
Character a t a p o i n t P o n t h e c u r v e
Milliseconds 169 40 82 135 83 270 140 102 145 52 113 234 140 182 89 142 47 110 29 83 115 81 93 188 65
Character . W e g i v e p r e c i s e d e v e l o p
Milliseconds 60 130 306 219 145 92 119 51 92 58 218 32 75 241 170 101 50 87 260 148 165 115 25 169 190
Character m e n t s o f t h e s e o -o i m p o r t a n
Milliseconds 189 75 111 23 80 99 181 58 66 122 75 91 170 33 77 318 300 239 148 170 144 56 169 83 64
Character t c o n c e p t s i t h e - -e -h -t - n t
Milliseconds 67 114 47 101 100 35 189 110 40 182 58 124 211 33 96 40 94 297 137 124 133 127 251 111 193
Character - -t t h e n e x t c h a p t e r , b u t
Milliseconds 265 129 103 104 114 93 78 180 30 169 93 73 137 96 99 82 102 132 36 61 119 283 78 111 96
Character f o r n o w w e u s e a n i n f o r m a
Milliseconds 121 103 74 59 138 68 78 103 126 76 61 271 90 37 431 243 76 77 94 102 82 58 74 86 57
Character l a p p r o a c h s o y o u w i -i - -w w
Milliseconds 93 75 140 126 157 113 111 56 153 64 113 94 55 51 118 102 78 119 27 437 217 116 122 196 152
Character i l l s e e h o w t h e y l e a d n a t
Milliseconds 77 144 121 96 44 53 162 68 147 89 80 54 122 61 83 104 127 110 51 81 129 78 280 55 62
Character u r a l l y t o t h e m a i n i d e a o
Milliseconds 122 48 122 59 142 152 82 57 82 54 81 84 55 47 135 117 75 180 105 180 62 126 107 65 147
Character f t h i s c h a p t e r , t h e l i m i t
Milliseconds 48 67 99 34 70 98 37 137 77 106 92 99 117 49 56 108 146 62 69 86 167 186 120 98 85
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 81 107 69 70 62 68 138 12 166 154 187 160 74 69 230 81 114 88 187 124 42 113 403 186 65
Character y s a f o u n d a t i o n a l r o l e t h
Milliseconds 114 92 104 273 51 98 40 63 185 39 135 56 31 123 66 63 92 104 74 70 162 23 60 52 63
Character r o u g h o u t c a l c u l u s .
Milliseconds 88 15 96 69 447 266 53 72 98 168 166 139 535 82 155 67 85 66
WPM Timing
Seconds WPM
2.11 56.86
4.22 82.44
6.33 85.29
8.44 96.66
10.55 104.62
12.66 107.08
14.77 110.47
16.88 110.87
18.99 108.66
21.11 103.48
23.22 103.38
25.33 102.34
27.44 104.09
29.55 101.53
31.66 101.21
33.77 100.57
35.88 102.01
37.99 101.08
40.1 99.35
42.21 100.92
44.32 100.18
46.43 100.79
48.54 101.11
50.65 101.4
52.76 101.66
54.87 101.91
56.98 101.08
59.09 100.31
61.21 99.6
63.32 100.83
65.43 99.78
67.54 100.03
69.65 98.73
71.76 98.83
73.87 98.61
75.98 98.55
78.09 97.89
80.2 97.71
82.31 95.93
84.42 96.37
86.53 96.38
88.64 97.06
90.75 96.13
92.86 96.66
94.97 97.16
97.08 97.89
99.2 98.23
101.31 98.08
103.42 98.63
105.53 98.25