BABABABA (jayisjjang23)

Race #33

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Official speed 82.43 wpm (125.78 seconds elapsed during race)
Without ending ping 82.60 wpm (254 ms delay sending score to TypeRacer’s server)
Timerless 82.97 wpm (559 ms elapsed before first character typed; 124.97 seconds elapsed during race)
Timerless minus one 82.87 wpm, ignoring the first character typed
Race Start September 26, 2023 8:07:58pm UTC
Race Finish September 26, 2023 8:10:03pm UTC
Outcome No win (3 of 3)
Opponents 2. oneguardsam (86.70 wpm)
Accuracy 98.0%
Points 222.57
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 underwststand how a chagnnge in onoe quantity is relatned to a change in another. How does the speed of a falling object change as a function of time>? How doest the level of water in a barrel change as a function of the amount of liquid poured into it? We see change occuring ring in nearly everything we observe in the world and universe, and powerful mofdern instrumetn nts help us see more and more. In this section we introduce the idesaas of average and instantaneous rates of change, and hsshow that they are closely related tot ehthe the slope of a curve at a point P on the curve. We gviive 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 play ss a foundational role through ouoput cut calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 559 177 135 147 181 122 119 159 161 150 80 110 95 93 131 87 151 150 86 106 95 23 83 84 142
Character e l p s u s u n d e r w s t -t -s -w s t a n d
Milliseconds 104 57 156 119 120 121 79 109 195 174 52 158 64 79 107 99 214 141 136 85 64 125 114 93 64
Character h o w a c h a g n -n -g n g e i n o n o -o e
Milliseconds 139 89 79 98 97 93 251 74 106 127 0 569 336 235 60 84 127 116 87 74 246 91 141 373 100
Character q u a n t i t y i s r e l a t n -n e d t o
Milliseconds 120 336 114 95 121 266 115 78 121 116 128 64 104 143 74 147 141 83 274 281 83 175 58 134 81
Character a c h a n g e i n a n o t h e r . H o w
Milliseconds 88 115 112 166 62 108 107 91 62 95 113 83 86 18 209 81 96 116 76 68 155 64 220 59 134
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 292 177 92 70 80 113 100 118 36 112 86 129 104 142 174 97 116 60 113 72 114 100 120 112 162
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 157 56 75 140 263 130 257 91 211 174 73 282 107 86 142 115 53 133 128 131 145 68 113 160 143
Character n c t i o n o f t i m e > -> ? H o w d o e
Milliseconds 182 111 189 95 83 104 68 144 85 116 129 91 75 97 358 444 544 273 451 76 27 383 369 130 76
Character s t -t t h e l e v e l o f w a t e r i n
Milliseconds 48 159 448 100 116 137 56 87 149 113 134 110 131 82 156 77 86 76 110 73 159 92 96 100 101
Character a b a r r e l c h a n g e a s a f u n
Milliseconds 96 43 559 317 62 214 133 109 111 80 536 101 68 130 90 57 157 87 142 107 68 110 164 125 185
Character c t i o n o f t h e a m o u n t o f l i
Milliseconds 73 160 69 108 116 97 201 93 99 128 92 92 81 112 75 83 157 192 79 88 96 66 92 94 115
Character q u i d p o u r e d i n t o i t ? W e s
Milliseconds 221 92 85 190 109 237 110 135 111 249 181 67 95 88 73 84 183 145 93 1178 225 380 229 162 121
Character e e c h a n g e o c c u r i n g - -g -n -i r i
Milliseconds 169 152 96 214 89 80 120 78 67 115 187 111 143 112 76 151 86 89 129 364 161 147 135 143 122
Character n g i n n e a r l y e v e r y t h i n g w
Milliseconds 76 85 112 278 86 68 171 65 95 73 134 129 137 312 126 89 99 89 140 110 85 103 89 50 114
Character e o b s e r v e i n t h e w o r l d a n
Milliseconds 63 104 165 281 165 122 87 278 85 105 105 70 87 60 115 50 131 77 104 44 142 84 72 68 117
Character d u n i v e r s e , a n d p o w e r f u l
Milliseconds 76 100 174 92 120 120 168 114 68 160 124 128 116 113 83 86 208 132 96 56 107 209 68 92 109
Character m o f -f d e r n i n s t r u m e t n - -n -t n t
Milliseconds 210 89 115 274 106 278 84 138 129 150 90 113 137 174 88 182 67 119 0 223 281 148 135 208 77
Character s h e l p u s s e e m o r e a n d m o
Milliseconds 58 128 184 85 82 117 103 153 83 109 138 144 167 78 119 80 48 39 145 92 119 86 174 124 72
Character r e . I n t h i s s e c t i o n w e i n
Milliseconds 75 37 256 96 209 91 80 129 114 69 113 135 337 195 193 166 68 87 80 40 141 54 125 174 62
Character t r o d u c e t h e i d e s a -a -s a s o f
Milliseconds 120 139 76 190 362 80 166 91 91 92 48 129 99 101 165 65 124 251 161 94 269 269 203 115 232
Character a v e r a g e a n d i n s t a n t a n e o u s
Milliseconds 202 139 131 84 110 102 61 109 88 118 81 121 40 127 478 157 123 126 114 270 148 246 184 78 98
Character r a t e s o f c h a n g e , a n d h s -s
Milliseconds 114 306 126 91 74 142 126 154 83 99 114 88 70 115 46 81 180 89 83 117 71 109 84 83 208
Character -h s h o w t h a t t h e y a r e c l o s e
Milliseconds 126 114 88 55 81 118 120 129 24 212 213 132 90 66 113 89 84 72 60 124 131 86 169 0 338
Character l y r e l a t e d t o t e h -h -e - t h e -
Milliseconds 335 119 106 94 49 142 91 72 188 173 80 135 99 83 116 135 67 267 141 129 102 88 65 155 250
Character -e -h -t -t t h e s l o p e o f a c u r v e
Milliseconds 155 140 139 194 181 120 111 46 99 523 89 174 82 134 157 199 75 112 249 154 147 104 93 223 72
Character a t a p o i n t P o n t h e c u r v
Milliseconds 113 114 120 129 111 80 125 103 121 60 121 134 314 178 206 91 86 152 89 61 104 156 112 75 229
Character e . W e g v i -i -v i v e p r e c i s e d e
Milliseconds 52 142 87 196 76 366 142 201 87 258 145 165 71 50 102 108 84 44 236 117 87 85 147 202 236
Character v e l o p m e n t s o f t h e s e i m p o r
Milliseconds 81 661 198 197 69 229 89 130 72 130 57 114 81 72 130 63 126 135 111 131 198 127 78 128 85
Character t a n t c o n c e p t s i n t h e n e x t
Milliseconds 174 150 139 66 135 127 122 72 146 179 92 96 93 113 117 71 75 88 99 58 106 92 81 204 176
Character c h a p t e r , b u t f o r n o w w e
Milliseconds 204 288 100 96 67 153 111 98 217 108 413 68 118 105 101 95 56 290 200 79 105 159 95 69 224
Character u s e a n i n f o r m a l a p p r o a c h
Milliseconds 150 117 55 121 189 98 92 146 85 93 115 79 98 93 127 25 855 137 135 125 146 164 198 96 92
Character s o y o u w i l l s e e h o w t h e y
Milliseconds 144 79 85 157 63 117 21 148 74 154 121 24 148 120 151 146 142 73 72 104 142 87 57 113 72
Character l e a d n a t u r a l l y t o t h e m a i
Milliseconds 133 76 64 200 99 142 118 77 180 77 446 139 116 144 115 115 74 68 113 90 83 98 122 50 130
Character n i d e a o f t h i s c h a p t e r , t
Milliseconds 80 89 159 76 144 80 97 158 92 114 104 77 68 159 172 303 81 102 81 267 119 92 122 108 194
Character h e l i m i t . T h e i d e a o f a l
Milliseconds 77 76 101 171 95 136 127 121 162 77 464 118 132 110 111 72 136 78 143 120 81 109 86 99 183
Character i m i t p l a y s -s - s a f o u n d a t i
Milliseconds 475 73 140 72 167 307 211 110 117 123 64 416 146 106 105 102 114 218 125 80 189 39 110 72 92
Character o n a l r o l e t h r o u g h o u -u -o - o p
Milliseconds 76 49 102 100 72 149 107 145 58 93 106 80 270 135 68 123 92 93 131 73 279 144 113 212 13
Character u t c -c - -t -u -p u t c a l c u l u s .
Milliseconds 46 79 97 246 479 144 130 164 222 329 56 95 263 296 285 166 152 93 107 123 127
WPM Timing
Seconds WPM
2.52 76.32
5.03 90.63
7.55 84.27
10.06 75.13
12.58 77.28
15.09 80.3
17.61 84.5
20.12 85.27
22.64 85.86
25.16 83.48
27.67 80.23
30.19 82.29
32.7 81.09
35.22 82.8
37.73 83.96
40.25 82.29
42.76 81.94
45.28 80.03
47.8 81.6
50.31 82.76
52.83 83.82
55.34 83.48
57.86 82.55
60.37 83.48
62.89 84.15
65.41 83.66
67.92 83.57
70.44 83.14
72.95 83.73
75.47 84.27
77.98 84.02
80.5 82.14
83.01 82.11
85.53 82.5
88.05 81.78
90.56 81.62
93.08 82.25
95.59 82.98
98.11 82.81
100.62 83.12
103.14 82.84
105.65 83.59
108.17 83.87
110.69 84.35
113.2 84.59
115.72 84.41
118.23 83.83
120.75 84.47
123.26 82.94
125.78 82.43