Parinaz (parinaz11)

Race #6250

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Official speed 94.08 wpm (110.20 seconds elapsed during race)
Without ending ping 94.94 wpm (1,003 ms delay sending score to TypeRacer’s server)
Timerless 95.24 wpm (334 ms elapsed before first character typed; 108.87 seconds elapsed during race)
Timerless minus one 95.13 wpm, ignoring the first character typed
Race Start July 25, 2024 8:01:28am UTC
Race Finish July 25, 2024 8:03:18am UTC
Outcome Win (1 of 5)
Opponents 2. jgb000 (85.89 wpm)
5. bruhgoslow (79.83 wpm)
Accuracy 96.9%
Points 254.02
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 hleelps us understand how a change in one quantity is related to a change in another. HOw ow does the speed of fala falling object change a as a function of time? How does the leaevvel of water in a barrel change as a function of the aoumount of lliquiquid pourteed into it? We esee change cooccurring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. IN thn this section we introduce the ideas of eaverage and instantaneous rates of change, and show that they werare closely related to the slope of a curece ve at a point P on the curcve. We give precise develpmopments f of these important concepsts in the next chapter, but for now we use na an informal appraochoach so you will see how they lead naturally to the main idea of this hchapter, the mllimit. The idea of a limit plays a foudatndational forole throughout a cacalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 334 89 108 121 167 130 223 152 91 40 111 84 91 74 117 102 115 150 72 143 82 19 70 53 83
Character l e -e -l e l p s u s u n d e r s t a n d h o
Milliseconds 128 53 383 89 125 64 156 95 83 55 102 66 147 148 135 184 37 144 101 83 84 68 79 135 68
Character w a c h a n g e i n o n e q u a n t i t
Milliseconds 54 64 96 69 202 119 81 30 132 147 86 62 74 95 83 99 72 90 488 102 85 68 179 69 84
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 69 127 76 110 87 149 119 0 125 59 98 182 73 125 64 86 121 83 253 75 59 111 15 133 124
Character i n a n o t h e r . H O w - -w -O o w d o e
Milliseconds 125 90 60 133 39 63 112 70 66 76 59 104 169 92 137 97 266 118 113 191 47 86 128 101 71
Character s t h e s p e e d o f f a l -l -a -f a f a
Milliseconds 61 123 81 78 39 52 157 106 100 147 171 76 69 100 88 321 125 84 330 232 105 201 86 515 95
Character l l i n g o b j e c t c h a n g e a a -a -
Milliseconds 50 138 130 66 50 84 83 66 108 80 209 173 67 164 57 75 59 58 133 98 37 193 137 217 102
Character s a f u n c t i o n o f t i m e ? H o w
Milliseconds 67 89 58 94 178 117 117 60 122 54 29 82 121 77 116 115 117 84 39 78 207 129 213 126 59
Character d o e s t h e l e a -a e v -v -e v e l o f
Milliseconds 98 135 69 98 89 77 69 81 48 56 210 101 73 412 125 167 227 97 102 139 96 80 115 71 97
Character w a t e r i n a b a r r e l c h a n g e
Milliseconds 167 83 64 89 110 59 64 63 100 74 81 136 159 99 165 107 160 152 164 48 121 25 44 121 112
Character a s a f u n c t i o n o f t h e a o u -u
Milliseconds 336 97 40 112 70 93 100 120 68 129 57 26 67 82 81 103 92 141 51 51 98 136 131 146 284
Character -o m o u n t o f l l i q u -u -q -i -l i q u i d
Milliseconds 126 162 131 104 129 216 103 128 136 89 229 106 10 198 117 218 118 139 113 227 87 107 95 115 101
Character p o u r t e -e -t e d i n t o i t ? W e e -e
Milliseconds 267 288 156 211 143 111 296 100 94 154 77 83 68 98 50 97 90 65 228 127 131 162 121 518 290
Character s e e c h a n g e c o -o -c o c c u r r i n g
Milliseconds 70 120 171 46 279 67 108 30 79 120 102 313 65 271 94 155 116 144 77 113 177 139 69 66 98
Character i n n e a r l y e v e r y t h i n g w e o
Milliseconds 55 73 77 129 109 54 67 82 167 52 94 151 156 79 118 99 58 52 106 59 92 93 87 108 225
Character b s e r v e i n t h e w o r l d a n d u
Milliseconds 161 214 80 71 191 137 113 121 82 72 103 77 63 65 92 27 85 66 87 62 74 93 41 74 125
Character n i v e r s e , a n d p o w e r f u l m o d
Milliseconds 160 66 85 134 69 85 125 60 95 79 41 78 114 43 97 85 46 56 177 28 103 118 84 102 114
Character e r n i n s t r u m e n t s h e l p u s s
Milliseconds 133 66 71 95 66 72 131 78 151 118 164 129 64 39 143 102 84 107 40 143 164 78 85 91 123
Character e e m o r e a n d m o r e . I N t h -h -t
Milliseconds 92 157 116 61 104 49 64 58 64 62 70 86 60 69 63 74 125 93 181 95 119 82 51 249 135
Character - -N n t h i s s e c t i o n w e i n t r o
Milliseconds 145 157 195 98 55 61 42 78 48 180 84 204 132 52 34 71 81 98 81 100 136 69 62 149 68
Character d u c e t h e i d e a s o f e -e a v e r a
Milliseconds 168 170 49 226 104 68 67 55 63 95 81 167 75 141 100 119 55 95 221 338 41 105 126 70 98
Character g e a n d i n s t a n t a n e o u s r a t e
Milliseconds 104 96 99 68 89 45 86 367 66 131 134 117 118 353 184 368 291 248 123 116 102 169 96 112 75
Character s o f c h a n g e , a n d s h o w t h a
Milliseconds 47 94 44 107 83 222 48 104 25 68 107 107 86 73 46 64 80 183 44 81 78 71 96 75 40
Character t t h e y w e r -r -e -w a r e c l o s e l y
Milliseconds 75 68 107 41 109 26 92 140 81 64 303 110 100 118 90 85 61 213 66 116 33 61 84 124 86
Character r e l a t e d t o t h e s l o p e o f a
Milliseconds 88 80 35 97 70 81 167 92 120 133 123 135 44 83 64 83 41 157 79 166 84 289 100 82 54
Character c u r e -e c e - -e -c v e a t a p o i n t
Milliseconds 97 184 102 50 307 305 24 162 71 196 122 128 19 161 69 35 121 92 210 144 184 132 99 67 89
Character P o n t h e c u r c -c v e . W e g i v
Milliseconds 48 167 146 290 74 75 111 34 52 66 187 80 96 272 309 39 144 72 114 135 99 104 131 86 117
Character e p r e c i s e d e v e l p m -m -p o p m e n t
Milliseconds 116 52 111 99 93 274 95 104 73 78 180 140 384 130 114 170 202 264 112 259 117 157 90 53 90
Character s f - -f o f t h e s e i m p o r t a n t
Milliseconds 86 119 152 71 223 118 193 71 72 115 65 34 186 104 45 104 100 128 66 123 182 66 45 84 78
Character c o n c e p s -s t s i n t h e n e x t c h
Milliseconds 320 68 51 115 172 112 233 335 30 90 62 49 65 71 94 40 60 67 134 98 254 159 83 172 75
Character a p t e r , b u t f o r n o w w e u s e
Milliseconds 79 120 113 89 84 85 99 142 37 177 95 143 50 117 114 82 51 50 117 282 92 125 80 90 85
Character n a - -a -n a n i n f o r m a l a p p r a o
Milliseconds 80 280 109 111 268 113 135 71 87 30 152 47 91 126 168 86 106 92 72 121 100 115 93 79 31
Character c h -h -c -o -a o a c h s o y o u w i l l s e
Milliseconds 186 79 192 103 120 106 171 33 141 65 72 156 89 85 84 97 35 68 91 41 131 132 70 99 118
Character e h o w t h e y l e a d n a t u r a l l y
Milliseconds 170 55 112 62 40 92 122 62 67 41 76 72 79 98 108 76 81 74 97 98 74 30 72 138 149
Character t o t h e m a i n i d e a o f t h i s
Milliseconds 74 154 0 138 74 33 76 93 15 113 63 63 92 98 65 124 51 112 115 67 84 117 63 57 45
Character h -h c h a p t e r , t h e m l -l -m l i m i t
Milliseconds 107 100 383 79 70 82 71 157 319 70 144 83 91 43 64 54 74 46 404 93 195 111 74 94 197
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 77 339 213 69 85 65 61 114 133 78 34 130 62 113 25 94 76 114 110 121 82 67 88 125 69
Character y s a f o u d a t -t -a -d n d a t i o n a l f
Milliseconds 118 51 105 62 101 85 102 123 107 110 133 222 220 133 167 74 68 85 119 0 64 66 150 66 219
Character o -o -f r o l e t h r o u g h o u t a c a -a -c
Milliseconds 37 262 115 145 53 117 67 69 122 57 229 65 59 84 64 108 110 41 66 82 83 193 53 169 447
Character - -a c a l c u l u s .
Milliseconds 120 125 105 62 58 101 136 111 261 135 85
WPM Timing
Seconds WPM
2.2 92.56
4.41 92.56
6.61 99.81
8.82 102.08
11.02 105.62
13.22 101.63
15.43 101.11
17.63 95.28
19.84 94.98
22.04 96.91
24.24 95.03
26.45 96.19
28.65 96.74
30.86 96.44
33.06 92.92
35.27 90.51
37.47 89.99
39.67 88.32
41.88 89.69
44.08 90.38
46.29 92.81
48.49 94.78
50.69 95.4
52.9 95.5
55.1 96.26
57.31 96.74
59.51 96.39
61.71 95.08
63.92 96.5
66.12 96.37
68.33 97.47
70.53 96.13
72.73 95.86
74.94 95.76
77.14 95.51
79.35 94.37
81.55 94.62
83.76 94.7
85.96 94.93
88.16 94.19
90.37 94.02
92.57 94.37
94.78 95.59
96.98 96.27
99.18 95.7
101.39 95.99
103.59 96.03
105.8 95.5
108 95
110.2 94.08