parth (parthvaghela)

Race #3942

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Official speed 89.96 wpm (115.25 seconds elapsed during race)
Without ending ping 90.24 wpm (357 ms delay sending score to TypeRacer’s server)
Timerless 90.69 wpm (568 ms elapsed before first character typed; 114.33 seconds elapsed during race)
Timerless minus one 90.58 wpm, ignoring the first character typed
Race Start September 29, 2024 11:18:31am UTC
Race Finish September 29, 2024 11:20:26am UTC
Outcome Win (1 of 4)
Opponents 2. pax82503 (84.45 wpm)
Accuracy 96.7%
Points 242.89
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. How does the speed of a falling object change as a fucnnction of time? hHow does the leel vel of water in a barrel change as a function of the maamamount of liquid poured into it. ? We see change occuring ioccurring in nearly everythign ng we observe in the world and universe, and powerful modern insturuments help usee us see more and more. In this section we introduce the icedeas of average and instangtanoeous rates of change, and show that thyeey are closelsyy related to the slloope of a curve at a point P on the cur.ve. We give precise deelovelopments of thes ee important concepts in the next chapter, but for now we use a n inann informal approach so you will seee who zhow they lead naturally to the main idea of this chapter, the limit. The idea of alimia limit laplay sa plays a founddational role thorughthrough out calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 568 116 73 113 99 136 187 102 83 110 82 64 116 50 110 60 134 175 64 100 115 50 67 50 94
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 183 111 209 179 76 51 123 90 132 225 75 158 75 126 68 104 68 88 45 95 70 26 91 84 74
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 109 50 100 67 93 125 57 94 75 90 75 76 99 99 187 98 121 65 366 19 174 81 75 107 41
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 110 81 45 143 200 83 81 137 43 156 47 67 66 107 84 74 94 109 71 205 132 80 76 121 30
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 189 95 162 70 87 45 70 39 225 176 93 64 115 47 140 109 75 122 63 67 41 95 53 120 125
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 157 6 239 79 114 49 87 84 341 139 142 95 92 43 143 108 16 162 37 252 160 80 162 66 90
Character n g e a s a f u c n -n -c n c t i o n o f
Milliseconds 92 51 108 86 93 64 188 110 81 113 111 94 63 343 91 175 58 156 51 13 70 74 89 47 184
Character t i m e ? h -h H o w d o e s t h e l e e l
Milliseconds 141 70 67 61 250 111 295 418 229 260 154 93 124 68 128 117 12 248 69 80 123 83 27 252 45
Character - -l -e v e l o f w a t e r i n a b a r
Milliseconds 116 268 107 116 141 82 74 107 124 143 86 85 170 86 142 50 80 59 52 132 89 99 89 185 135
Character r e l c h a n g e a s a f u n c t i o n
Milliseconds 183 348 109 83 76 125 57 128 39 134 183 93 48 124 94 80 95 99 150 66 160 61 23 68 80
Character o f t h e m a -a a m -m -a -m a m o u n t o f
Milliseconds 99 60 107 101 70 91 30 145 10 348 189 133 402 0 0 270 129 97 89 148 73 98 65 83 68
Character l i q u i d p o u r e d i n t o i t . - -.
Milliseconds 115 98 148 101 154 217 103 178 141 125 118 194 217 66 116 41 92 70 198 115 99 196 75 244 229
Character ? W e s e e c h a n g e o c c u r i n g
Milliseconds 319 501 236 241 95 125 57 154 54 127 48 131 97 62 145 143 106 86 145 94 131 51 57 70 56
Character i -i -o -c -c -u -r -i -n -g - o c c u r r i n g i n n
Milliseconds 76 368 101 0 0 0 0 0 0 0 0 203 71 133 107 98 160 167 58 52 82 157 145 228 233
Character e a r l y e v e r y t h i g n - -n -g n g w e
Milliseconds 101 108 59 65 52 88 302 138 107 54 127 108 83 67 91 0 142 340 156 113 157 48 81 102 56
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 177 75 73 225 54 64 161 124 125 64 43 92 60 84 70 51 109 42 127 69 262 132 92 65 85
Character u n i v e r s e , a n d p o w e r f u l m
Milliseconds 63 175 146 90 68 142 56 125 41 66 51 89 63 85 40 127 124 43 39 33 195 38 100 70 133
Character o d e r n i n s t u -u r u m e n t s h e l p
Milliseconds 81 58 180 58 35 79 84 84 89 127 272 302 83 99 263 148 94 142 102 43 267 140 101 168 50
Character u s e e -u -s -e -e - u s s e e m o r e a n d
Milliseconds 124 134 170 167 118 333 0 0 0 0 285 89 84 140 111 179 53 134 86 11 62 83 162 78 107
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 99 109 90 78 29 172 64 224 193 67 109 64 64 72 40 134 74 184 173 38 35 46 85 58 59
Character i n t r o d u c e t h e i c e -e -c d e a s
Milliseconds 125 74 84 92 117 58 110 107 107 460 83 116 59 67 51 73 75 136 325 110 61 139 101 90 146
Character o f a v e r a g e a n d i n s t a n g -g t a
Milliseconds 100 102 118 91 144 148 50 130 92 109 84 84 83 73 33 91 70 210 125 133 133 140 358 77 98
Character n o -o e o u s r a t e s o f c h a n g e ,
Milliseconds 125 201 339 77 96 57 70 88 151 128 98 84 141 60 84 56 97 98 82 92 77 55 110 125 54
Character a n d s h o w t h a t t h y e -e -y e y a r
Milliseconds 20 117 59 74 136 266 77 117 62 127 58 109 74 82 103 39 169 8 367 89 99 76 64 33 91
Character e c l o s e l s y -y -s y r e l a t e d t o
Milliseconds 76 51 144 65 125 46 64 123 32 156 312 118 226 54 110 65 94 75 92 85 155 19 137 36 63
Character t h e s l l o -o -l o p e o f a c u r v e
Milliseconds 548 69 89 94 76 85 129 219 238 93 161 127 91 75 68 73 63 191 81 117 123 47 164 101 98
Character a t a p o i n t P o n t h e c u r . -.
Milliseconds 158 148 85 92 61 224 107 52 55 32 55 261 139 89 121 108 116 103 92 59 130 83 585 296 333
Character v e . W e g i v e p r e c i s e d e e l o
Milliseconds 85 110 61 54 282 170 130 82 117 51 94 166 227 83 69 199 90 369 147 119 116 141 229 30 142
Character -o -l -e v e l o p m e n t s o f t h e s e -e -
Milliseconds 470 88 161 167 72 102 131 124 218 61 112 59 99 35 90 66 63 103 26 66 137 16 40 361 93
Character e i m p o r t a n t c o n c e p t s i n t
Milliseconds 68 67 92 74 155 120 0 195 122 107 63 100 100 41 59 100 170 99 76 114 86 78 71 56 40
Character h e n e x t c h a p t e r , b u t f o r
Milliseconds 111 56 50 110 28 190 137 69 141 92 93 85 89 160 68 79 42 124 43 147 50 152 169 342 175
Character n o w w e u s e a n i n -i -n -n - a n -n -a
Milliseconds 357 81 65 67 102 56 70 108 75 57 83 96 104 77 6 121 74 342 0 100 0 199 77 258 98
Character - n i n f o r m a l a p p r o a c h s o y
Milliseconds 90 468 121 107 61 63 117 59 100 160 126 97 137 68 134 64 140 158 122 74 65 103 228 194 53
Character o u w i l l s e e e -e w h o z -z -w -h -o - h
Milliseconds 88 84 70 50 96 321 161 92 115 66 143 245 316 111 81 49 67 129 266 34 282 0 0 0 323
Character o w t h e y l e a d n a t u r a l l y t o
Milliseconds 46 36 88 101 67 109 43 56 115 29 109 59 67 316 121 74 119 100 99 70 153 39 78 101 100
Character t h e m a i n i d e a o f t h i s c h
Milliseconds 75 38 104 84 75 52 97 104 48 72 65 287 154 109 100 91 91 43 118 38 51 74 26 171 123
Character a p t e r , t h e l i m i t . T h e i d e
Milliseconds 154 116 105 194 71 130 60 92 92 63 52 89 28 218 72 138 138 77 281 99 100 77 115 118 149
Character a o f a l i m i -a -l -i -m -i a l i m i t l a
Milliseconds 97 107 76 65 105 28 144 69 131 125 310 0 0 0 0 281 93 110 52 179 90 77 99 201 135
Character -a -l p l a y s a -s -a - -p -l -a -y - p l a y s a
Milliseconds 270 104 160 146 49 88 113 3 156 11 440 0 0 96 0 0 0 0 481 153 92 128 115 49 125
Character f o u n d d -d a t i o n a l r o l e t h o r
Milliseconds 50 122 45 43 159 75 72 470 168 146 70 17 70 209 206 95 127 101 152 56 78 121 86 101 3
Character u g h -t -h -o -r -u -g -h t h r o u g h - o u t c a
Milliseconds 61 136 56 327 0 0 0 0 0 0 179 70 87 73 40 52 95 158 312 165 50 53 106 227 130
Character l c u l u s .
Milliseconds 2 208 73 126 204 107 82
WPM Timing
Seconds WPM
2.31 88.5
4.61 98.91
6.92 111.06
9.22 111.93
11.53 113.49
13.83 114.53
16.14 113.04
18.44 110.63
20.75 104.7
23.05 101.52
25.36 101.28
27.66 103.25
29.97 99.31
32.27 99.29
34.58 96.14
36.88 95.01
39.19 92.79
41.49 92.55
43.8 92.34
46.1 93.97
48.41 95.44
50.71 94.18
53.02 93.26
55.32 94.58
57.63 94.54
59.93 95.11
62.24 93.9
64.54 94.82
66.85 95.14
69.15 94.92
71.46 94.21
73.76 94.68
76.07 93.71
78.37 93.4
80.68 92.07
82.98 92.55
85.29 93.57
87.59 93.57
89.9 92.51
92.2 92.41
94.51 92.44
96.81 91.73
99.12 92.5
101.42 92.88
103.73 93.36
106.03 92.58
108.34 90.72
110.64 90.78
112.95 90.41
115.25 89.96