Sambhav (sam_b_hav)

Race #3189

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Official speed 91.97 wpm (112.73 seconds elapsed during race)
Without ending ping 92.33 wpm (440 ms delay sending score to TypeRacer’s server)
Timerless 92.63 wpm (360 ms elapsed before first character typed; 111.93 seconds elapsed during race)
Timerless minus one 92.52 wpm, ignoring the first character typed
Race Start October 14, 2024 3:34:25pm UTC
Race Finish October 14, 2024 3:36:18pm UTC
Outcome No win (2 of 5)
Opponents 1. bobabuddy (107.02 wpm)
3. omdrshdl (87.36 wpm)
Accuracy 98.0%
Points 248.32
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 Calculaus is a tool that helps us tounderstand how a change in one quantity is realtlated to a change in another. How does the speed of a gfalling object change as a function of time?H How does the level of water in a barrel change as a function of the amount of liquid poured into tiit? We see chagnnge occurring in nearly everything we observe in the world and universe, and powerful modrern instruments help us see more and more. In this esection we introduce the ideas of average and instantaneous rates ovf change, and show that heythey are closerly related to teh she slopwe 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 thoroughout calculus.
Timing
Character C a l c u l a -a u s i s a t o o l t h a t
Milliseconds 360 178 92 160 67 106 85 461 197 73 143 101 131 51 121 329 189 197 160 188 84 124 73 63 91
Character h e l p s u s t o -o -t u n d e r s t a n d
Milliseconds 77 76 126 100 197 95 84 139 128 99 113 110 313 120 183 208 23 179 90 125 66 125 115 92 105
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 66 76 51 124 159 85 198 53 118 97 104 82 76 88 89 117 160 82 87 119 175 99 107 100 128
Character i t y i s r e a l t -t -l -a l a t e d t o a
Milliseconds 80 104 84 120 94 101 61 151 92 78 78 140 349 133 159 204 35 116 68 212 161 89 70 112 196
Character c h a n g e i n a n o t h e r . H o w d
Milliseconds 77 127 99 83 121 80 39 93 54 128 102 150 78 54 185 127 46 108 163 107 224 168 32 121 201
Character o e s t h e s p e e d o f a g -g f a l l
Milliseconds 65 85 74 95 162 115 97 108 104 39 172 159 215 58 99 132 65 64 135 194 405 46 111 73 155
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 94 80 75 110 252 299 121 101 193 166 97 235 84 67 147 84 65 105 141 94 144 65 131 75 125
Character n c t i o n o f t i m e ? H - -H H o w d
Milliseconds 184 63 190 45 105 51 51 158 73 60 151 29 95 88 342 329 98 387 142 108 159 201 73 95 116
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 101 113 88 76 150 70 79 121 63 44 158 111 129 76 136 72 62 180 101 146 79 108 97 56 95
Character a b a r r e l c h a n g e a s a f u n
Milliseconds 96 37 155 177 82 368 214 156 105 124 212 64 98 118 67 59 130 60 76 112 94 102 120 98 182
Character c t i o n o f t h e a m o u n t o f l i
Milliseconds 39 213 63 131 20 83 165 90 62 150 98 112 52 154 101 102 115 190 106 65 117 164 13 238 48
Character q u i d p o u r e d i n t o t i -i -t i t ?
Milliseconds 165 189 127 218 133 215 170 67 122 62 213 141 106 104 80 113 143 117 57 341 119 193 46 305 480
Character W e s e e c h a g n -n -g n g e o c c u r r i
Milliseconds 232 187 114 81 81 139 77 150 90 95 204 8 387 128 205 39 64 118 277 118 181 97 99 251 153
Character n g i n n e a r l y e v e r y t h i n g w
Milliseconds 99 116 100 75 94 102 373 54 154 51 89 148 87 134 165 104 96 218 117 83 109 99 76 118 99
Character e o b s e r v e i n t h e w o r l d a n
Milliseconds 68 140 202 166 287 65 95 187 84 145 66 85 101 64 152 69 114 53 120 72 141 60 106 132 100
Character d u n i v e r s e , a n d p o w e r f u l
Milliseconds 94 122 78 204 47 58 121 121 86 97 89 41 91 162 53 93 102 149 41 43 82 199 42 98 78
Character m o d r -r e r n i n s t r u m e n t s h e l p
Milliseconds 165 103 96 439 317 76 41 164 96 202 127 72 110 159 87 204 81 87 98 72 112 137 74 140 184
Character u s s e e m o r e a n d m o r e . I n
Milliseconds 85 100 135 110 382 50 184 79 124 22 90 52 108 106 111 50 69 85 96 53 50 165 87 181 168
Character t h i s e -e s e c t i o n w e i n t r o d
Milliseconds 64 113 82 45 92 54 218 350 39 78 217 173 31 59 58 85 220 55 141 132 104 80 168 62 134
Character u c e t h e i d e a s o f a v e r a g e
Milliseconds 98 105 170 127 118 71 77 84 73 116 158 88 175 112 82 114 81 94 189 145 16 105 135 45 107
Character a n d i n s t a n t a n e o u s r a t e s o
Milliseconds 92 141 64 118 50 92 63 123 104 183 148 564 132 366 219 73 126 100 128 134 183 48 181 166 66
Character v -v f c h a n g e , a n d s h o w t h a t
Milliseconds 337 336 52 109 104 160 47 223 159 57 160 86 169 114 67 102 145 81 41 81 67 99 117 26 97
Character h e y -y -e -h t h e y a r e c l o s e r -r l y
Milliseconds 94 117 43 203 299 122 147 365 77 100 82 75 60 87 60 120 142 109 72 76 72 127 372 192 128
Character r e l a t e d t o t e h s -s - -h -e h e s
Milliseconds 111 177 72 181 46 127 63 197 73 129 77 74 68 127 11 187 29 324 133 179 118 202 45 117 85
Character l o p w -w e o f a c u r v e a t a p o
Milliseconds 102 61 187 133 398 67 79 93 92 133 169 43 144 95 97 406 63 144 189 132 76 153 66 165 154
Character i n t P o n t h e c u r v e . W e g i
Milliseconds 101 137 95 184 193 517 100 71 87 92 107 54 89 136 76 126 233 49 179 72 376 179 122 133 119
Character v e p r e c i s e d e v e l o p m e n t s o
Milliseconds 96 53 81 180 119 68 301 133 94 71 114 264 135 138 110 44 67 167 174 106 87 64 104 99 180
Character f t h e s e i m p o r t a n t c o n c e p t
Milliseconds 68 107 116 63 27 409 90 239 330 79 111 195 66 222 113 65 114 102 231 62 62 107 147 123 66
Character s i n t h e n e x t c h a p t e r , b u
Milliseconds 97 113 206 94 74 85 126 102 109 76 116 215 134 99 126 100 100 147 85 66 124 86 89 151 90
Character t f o r n o w w e u s e a n i n f o r
Milliseconds 110 91 135 104 71 95 77 73 150 183 306 75 125 316 104 49 123 169 120 67 101 82 69 164 10
Character m a l a p p r o a c h s o y o u w i l l
Milliseconds 449 107 155 109 251 59 132 90 117 12 251 64 103 171 81 81 117 66 121 77 101 84 80 182 37
Character s e e h o w t h e y l e a d n a t u r a l
Milliseconds 130 64 185 124 115 71 176 100 134 78 96 111 72 236 38 126 150 96 259 52 142 138 83 96 80
Character l y t o t h e m a i n i d e a o f t h
Milliseconds 141 116 47 246 53 79 155 96 91 60 72 126 64 68 73 163 20 160 83 117 68 89 99 143 61
Character i s c h a p t e r , t h e l i m i t . T h
Milliseconds 72 66 49 205 65 103 164 91 72 120 36 65 165 68 63 48 82 85 138 96 164 155 107 204 146
Character e i d e a o f a l i m i t p l a y s a
Milliseconds 53 69 101 71 143 101 71 92 81 71 118 80 181 103 370 52 163 140 208 148 67 103 112 121 211
Character f o u n d a t i o n a l r o l e t h o -o r o
Milliseconds 70 185 88 54 186 42 139 162 57 77 54 153 86 95 120 112 216 122 58 157 58 85 530 81 115
Character u g h o u t c a l c u l u s .
Milliseconds 100 128 92 158 111 98 97 175 142 71 134 50 82 303 66 148
WPM Timing
Seconds WPM
2.25 63.87
4.51 77.17
6.76 74.51
9.02 85.16
11.27 83.03
13.53 86.04
15.78 88.96
18.04 87.82
20.29 87.52
22.55 90.48
24.8 87.09
27.06 89.59
29.31 89.66
31.57 91.62
33.82 92.25
36.07 91.15
38.33 89.23
40.58 87.82
42.84 88.24
45.09 88.35
47.35 89.97
49.6 91.21
51.86 90.48
54.11 90.92
56.37 91.33
58.62 91.71
60.88 92.65
63.13 92
65.38 91.21
67.64 92.08
69.89 90.99
72.15 90.81
74.4 89.51
76.66 89.23
78.91 88.96
81.17 89.15
83.42 89.19
85.68 89.08
87.93 89.52
90.19 89.95
92.44 89.96
94.7 89.97
96.95 90.48
99.2 90.72
101.46 91.43
103.71 92.1
105.97 92.4
108.22 92.48
110.48 92.22
112.73 91.97