bonka (biancacchino)

Race #17

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Official speed 88.07 wpm (117.72 seconds elapsed during race)
Without ending ping 88.26 wpm (260 ms delay sending score to TypeRacer’s server)
Timerless 88.49 wpm (304 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 January 14, 2024 3:32:07am UTC
Race Finish January 14, 2024 3:34:05am UTC
Outcome Win (1 of 4)
Accuracy 96.3%
Points 237.79
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 Caclulculus is a tool that helps us understand how a change in one quantity is realtelated to a change in abonother. How does the speed of a falling object change as a function of itime? How does the level of water in a barrel hachange as a function of the amount of liquid poured into it? We see change ouccucuringring in nearly evertyything we observe in the world and univesrerse, and powerful modern instrumetsnnts help us see more and more . In this ectsection we introuduce the ideas of average iaand instantanoeous rates of change, adnd show that they are lclosely related to the slope of a curvrve a at a poijnt P on the curve. We fgive prrecise developments of these important concepts in the next chapter, but for now we use an informal approach sou you will see how they lead naturally to the main idea of this hchapter, the limit. The diide ofa of a limit plays founa ofoundational role throughtout claalculus.
Timing
Character C a c l u -u -l -c l c u l u s i s a t o o l
Milliseconds 304 121 113 122 111 293 151 134 179 110 83 185 36 150 66 151 108 54 91 77 102 52 143 158 103
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 90 82 78 55 47 100 118 82 146 75 71 92 120 125 85 161 85 108 58 147 137 118 100 74 79
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 66 124 134 99 118 55 121 100 73 91 79 77 101 78 90 75 127 83 119 75 200 92 121 99 146
Character i t y i s r e a l t -t -l -a -e e l a t e d t o
Milliseconds 115 111 147 63 107 87 88 93 96 53 91 136 293 141 144 180 512 106 100 88 143 62 62 92 70
Character a c h a n g e i n a b o -o -b n o t h e r .
Milliseconds 39 111 152 104 78 129 96 48 92 100 83 96 89 127 101 171 263 118 142 103 108 93 78 40 142
Character H o w d o e s t h e s p e e d o f a
Milliseconds 13 212 107 105 113 106 80 122 38 92 84 74 81 73 94 77 100 119 77 110 141 104 90 92 94
Character f a l l i n g o b j e c t c h a n g e a s
Milliseconds 101 77 67 131 101 143 78 74 79 135 102 88 113 152 75 126 77 84 81 39 76 87 315 88 127
Character a f u n c t i o n o f i -i t i m e ? H o w
Milliseconds 282 152 121 96 120 61 156 35 63 19 143 149 137 91 157 260 76 72 126 83 215 103 172 110 78
Character d o e s t h e l e v e l o f w a t e r
Milliseconds 94 89 85 79 57 96 20 169 47 120 251 65 105 76 98 48 160 87 103 73 335 156 102 81 76
Character i n a b a r r e l h a -a -h c h a n g e a s
Milliseconds 93 128 81 136 110 183 110 96 141 73 105 61 233 89 188 118 77 81 87 137 35 63 123 116 70
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 139 70 103 128 71 237 3 228 0 36 50 95 115 117 84 76 73 89 75 104 64 159 94 155 73
Character o f l i q u i d p o u r e d i n t o i t
Milliseconds 84 68 130 68 130 88 156 71 145 90 88 177 72 112 76 185 54 91 94 119 73 86 96 246 96
Character ? W e s e e c h a n g e o u c -c -u c u -u c
Milliseconds 231 103 217 172 105 94 69 140 94 190 101 57 148 34 77 128 92 64 104 218 120 67 221 289 81
Character u r i n g -g -n -i r i n g i n n e a r l y e v
Milliseconds 128 124 106 128 106 372 135 140 88 125 172 77 90 263 159 172 151 74 57 54 134 101 95 88 136
Character e r t y -y -t y t h i n g w e o b s e r v e i
Milliseconds 126 38 214 14 382 129 134 289 80 118 104 76 86 75 48 98 148 91 219 80 92 157 132 98 77
Character n t h e w o r l d a n d u n i v e s r e -e
Milliseconds 111 92 100 87 88 110 95 95 122 110 82 84 98 69 77 83 130 133 136 546 440 132 25 210 254
Character -r -s r s e , a n d p o w e r f u l m o d e r
Milliseconds 147 125 78 134 97 125 64 149 95 69 109 104 60 90 23 71 188 46 161 138 159 107 93 167 50
Character n i n s t r u m e t s n -n -s -t n t s h e l p
Milliseconds 88 276 263 120 103 104 157 74 149 61 94 68 71 231 131 123 169 52 77 65 111 131 86 148 120
Character u s s e e m o r e a n d m o r e - . I
Milliseconds 108 122 74 192 145 129 100 104 99 57 67 79 90 77 50 118 106 123 61 91 181 310 176 92 191
Character n t h i s e c t -t -c -e s e c t i o n w e i
Milliseconds 291 253 144 51 129 103 66 79 158 203 224 148 135 239 66 176 160 54 101 5 79 117 33 105 80
Character n t r o u -u d u c e t h e i d e a s o f a
Milliseconds 108 79 147 60 383 280 57 125 80 57 98 106 54 114 68 157 65 122 51 138 105 83 110 113 109
Character v e r a g e i a -a -i a n d i n s t a n t a n o
Milliseconds 132 133 68 126 102 92 72 148 302 13 326 263 140 128 65 121 96 72 97 115 224 312 483 104 200
Character -o e o u s r a t e s o f c h a n g e , a d
Milliseconds 265 72 146 55 107 88 87 76 111 83 90 139 141 86 111 252 94 97 119 60 50 126 44 114 193
Character -d n d s h o w t h a t t h e y a r e l -l
Milliseconds 292 152 75 85 93 75 85 90 112 86 87 48 85 67 99 68 110 60 56 79 78 55 99 388 319
Character c l o s e l y r e l a t e d t o t h e s l
Milliseconds 45 105 193 116 47 168 115 96 132 72 130 74 87 156 52 77 126 60 120 56 114 57 71 122 51
Character o p e o f a c u r v r -r -v v e a a -a - t
Milliseconds 225 163 142 103 152 47 119 41 126 59 78 126 232 72 333 117 468 77 106 130 106 119 276 127 77
Character a p o i j -j n t P o n t h e c u r v e
Milliseconds 87 131 154 352 45 105 154 369 167 111 116 180 115 182 118 132 138 122 86 77 121 74 81 176 50
Character . W e f -f g i v e p r r -r e c i s e d e v
Milliseconds 139 33 571 282 115 215 288 88 72 91 69 92 144 95 208 330 9 472 125 92 51 102 147 103 163
Character e l o p m e n t s o f t h e s e i m p o r t
Milliseconds 140 69 146 92 143 112 70 79 85 94 118 89 96 94 68 141 164 142 146 273 144 173 50 98 51
Character a n t c o n c e p t s i n t h e n e x t
Milliseconds 112 92 71 106 149 72 127 76 108 104 79 76 93 186 51 154 243 101 92 128 125 55 200 143 81
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 154 65 172 100 98 175 59 153 241 227 99 95 74 102 84 95 67 89 128 80 110 230 93 109 179
Character s e a n i n f o r m a l a p p r o a c h s
Milliseconds 96 53 71 102 47 118 141 123 123 92 177 128 322 105 71 257 190 138 140 107 109 82 61 104 97
Character o u - -u y o u w i l l s e e h o w t h
Milliseconds 107 72 86 332 129 114 140 92 76 133 120 55 80 150 114 111 54 170 76 140 94 107 74 79 68
Character e y l e a d n a t u r a l l y t o t h e
Milliseconds 98 69 61 159 78 56 70 71 93 75 117 86 94 51 97 128 86 89 118 72 109 99 63 123 48
Character m a i n i d e a o f t h i s h -h c h a p t
Milliseconds 150 219 67 108 90 167 82 85 56 127 133 108 105 66 72 110 109 74 368 276 69 84 137 119 86
Character e r , t h e l i m i t . T h e d i -i -d i d
Milliseconds 155 65 136 83 352 84 81 94 155 57 203 119 93 130 32 215 105 76 99 176 67 270 123 240 96
Character e o f -f -o - a o f a l i m i t p l a y s
Milliseconds 108 496 184 77 257 146 139 86 73 139 95 41 107 96 195 140 148 136 71 103 247 145 105 85 99
Character f o u n -n -u -o -f a o -o f o u n d a t i o n a l
Milliseconds 56 100 99 69 167 231 121 151 123 104 64 186 447 67 69 172 129 44 85 112 59 36 60 127 81
Character r o l e t h r o u g h t -t o u t c l a -a -l a
Milliseconds 106 261 76 150 102 81 102 73 87 75 56 110 77 148 282 212 43 88 90 209 108 105 230 118 77
Character l c u l u s .
Milliseconds 106 93 103 395 69 125 135
WPM Timing
Seconds WPM
2.35 50.97
4.71 86.64
7.06 100.23
9.42 98.11
11.77 91.74
14.13 91.74
16.48 96.11
18.84 98.11
21.19 97.4
23.54 98.87
25.9 99.15
28.25 98.11
30.61 100.76
32.96 100.84
35.32 99.89
37.67 95.88
40.03 94.74
42.38 94.85
44.74 95.23
47.09 93.27
49.44 93.44
51.8 92.67
54.15 92.63
56.51 90.89
58.86 90.72
61.22 91.94
63.57 90.61
65.93 90.1
68.28 90.16
70.63 90.55
72.99 91.25
75.34 90.47
77.7 88.96
80.05 89.19
82.41 88.1
84.76 88.34
87.12 88.71
89.47 89.06
91.83 89.39
94.18 89.45
96.53 89.13
98.89 89.92
101.24 90.67
103.6 90.7
105.95 90.83
108.31 89.19
110.66 89.35
113.02 88.45
115.37 88.52
117.72 88.07