Gaurav Mali (gaurav_mali_26)

Race #5879

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Official speed 98.06 wpm (105.73 seconds elapsed during race)
Without ending ping 98.40 wpm (367 ms delay sending score to TypeRacer’s server)
Timerless 98.92 wpm (548 ms elapsed before first character typed; 104.82 seconds elapsed during race)
Timerless minus one 98.80 wpm, ignoring the first character typed
Race Start June 17, 2023 11:58:28am UTC
Race Finish June 17, 2023 12:00:14pm UTC
Outcome No win (4 of 4)
Opponents 1. poem (126.95 wpm)
2. varaug33 (111.48 wpm)
Accuracy 97.4%
Points 264.76
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 hapelps us understand how a change in one quantity is reallated to a change in another. How does the speed of a falling object change as a function of time? How does the level of waterin in a barrle chel change as a function of the amount of liquid poured inotto it? We see change occuringring in nearly everything we observe in the woorrld and universe, and powerful nomodern instrumetns nts help us see more and more. In this asection we indrtroduce the ideas of average and instantaneiousouse rates of change, and show that they are closely realalated to the slope of a curve at a point P on the curve. We bigive precise developments of these important concept in s in the next chapter, but for now we use inan imnnformatl al approach so you will see how they lead naturally to the main diidea of this chqapapter, the limit. The idea of a limit plays a foundatinoonal orrole throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 548 245 116 202 161 118 175 172 118 73 204 70 125 84 145 54 140 143 54 120 86 44 53 40 87
Character a p -p -a e l p s u s u n d e r s t a n d h o
Milliseconds 47 101 376 123 74 106 132 73 77 68 111 58 136 145 92 143 36 212 57 31 82 72 79 54 51
Character w a c h a n g e i n o n e q u a n t i t
Milliseconds 33 77 87 81 96 62 62 87 46 42 30 77 65 74 89 43 86 85 337 74 440 118 91 110 136
Character y i s r e a l -l -a l a t e d t o a c h a
Milliseconds 87 109 97 90 49 218 62 49 49 382 127 128 42 78 50 186 75 121 51 59 141 85 186 53 79
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 81 80 46 128 64 392 65 146 57 84 50 77 101 30 94 80 221 154 95 130 97 74 88 50 62
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 111 58 52 77 116 83 86 155 135 75 66 88 92 67 91 205 117 120 154 41 50 50 91 197 96
Character j e c t c h a n g e a s a f u n c t i o n
Milliseconds 98 78 55 186 79 117 56 60 96 35 86 97 60 65 102 138 146 127 94 129 79 170 38 15 6
Character o f t i m e ? H o w d o e s t h e l e
Milliseconds 116 91 61 84 70 33 63 56 241 54 221 270 203 119 199 73 99 50 25 120 50 71 55 94 49
Character v e l o f w a t e r i n -n -i i n a b a r
Milliseconds 120 58 70 84 102 75 66 102 85 84 120 51 248 67 246 119 116 74 38 78 72 115 110 88 305
Character r l e c h -h -c - -e -l e l c h a n g e a s a
Milliseconds 154 86 89 97 97 55 214 146 142 165 151 109 72 95 104 83 54 97 9 74 100 61 100 57 111
Character f u n c t i o n o f t h e a m o u n t o
Milliseconds 96 108 93 131 92 164 0 24 17 103 99 66 68 83 70 24 66 149 130 116 84 124 110 166 299
Character f l i q u i d p o u r e d i n o t -t -o t o
Milliseconds 81 58 95 111 307 79 66 180 114 334 163 84 93 78 191 46 301 24 136 34 426 150 75 91 67
Character i t ? W e s e e c h a n g e o c c u r i n
Milliseconds 123 83 212 35 358 148 96 109 26 148 86 100 67 59 85 38 62 77 253 80 122 108 79 104 21
Character g -g -n -i r i n g i n n e a r l y e v e r y t
Milliseconds 86 248 133 133 112 73 36 64 77 80 34 108 234 92 112 92 42 71 57 222 85 110 43 82 101
Character h i n g w e o b s e r v e i n t h e w o
Milliseconds 62 65 123 39 57 129 58 88 169 74 253 86 117 203 60 80 56 39 68 71 78 36 124 74 93
Character o r -r -o r l d a n d u n i v e r s e , a n d
Milliseconds 143 101 309 139 52 107 100 81 67 102 37 91 190 131 74 136 430 81 141 45 92 57 66 73 63
Character p o w e r f u l n o -o -n m o d e r n i n s t
Milliseconds 56 85 138 47 31 42 124 101 98 102 128 74 225 145 127 73 88 144 15 61 76 115 19 209 63
Character r u m e t n s - -s -n -t n t s h e l p u s s
Milliseconds 141 96 137 76 92 0 213 130 176 127 142 140 130 44 54 62 396 91 88 315 150 85 109 143 278
Character e e m o r e a n d m o r e . I n t h i s
Milliseconds 35 158 9 109 87 0 23 117 75 54 61 69 75 39 59 33 89 46 241 168 83 77 54 50 50
Character a -a s e c t i o n w e i n d r -r -d t r o d u
Milliseconds 72 113 264 72 41 113 165 44 29 8 109 109 37 108 34 60 131 178 260 117 46 150 127 183 136
Character c e t h e i d e a s o f a v e r a g e a
Milliseconds 71 124 179 68 57 81 103 83 68 181 16 425 98 181 106 68 130 171 179 50 146 68 68 44 103
Character n d i n s t a n t a n e i o u s -s -u -o -i o u s e
Milliseconds 78 68 47 85 75 47 35 81 68 137 360 140 130 532 100 87 76 220 127 150 147 146 46 80 54
Character - -e r a t e s o f c h a n g e , a n d
Milliseconds 84 301 129 149 133 101 115 94 46 101 112 121 74 127 66 85 75 72 43 88 66 45 81 29 80
Character s h o w t h a t t h e y a r e c l o s e l
Milliseconds 85 55 33 71 38 107 103 0 107 46 104 85 84 85 45 57 73 54 63 117 65 129 46 42 72
Character y r e a l a -a -l -a l a t e d t o t h e s l
Milliseconds 103 43 223 59 76 20 223 137 133 145 140 79 91 56 175 62 112 45 62 68 65 47 121 47 98
Character o p e o f a c u r v e a t a p o i n t
Milliseconds 127 129 148 126 118 94 81 92 82 113 166 87 170 89 44 109 93 80 110 130 112 149 42 41 33
Character P o n t h e c u r v e . W e b i -i -b g
Milliseconds 94 316 159 177 93 66 45 90 46 80 276 121 74 229 66 151 55 455 221 160 78 115 249 105 18
Character i v e p r e c i s e d e v e l o p m e n t s
Milliseconds 154 123 175 85 82 129 111 204 137 74 56 63 127 143 64 94 47 166 117 138 139 80 57 120 109
Character o f t h e s e i m p o r t a n t c o n c e p
Milliseconds 129 80 52 106 84 74 93 147 22 154 41 119 210 116 169 393 120 49 127 159 72 50 104 53 135
Character t i n - -n -i - s i n t h e n e x t c h
Milliseconds 84 121 115 41 97 238 135 136 146 57 78 83 49 60 66 77 32 98 82 56 196 205 97 222 251
Character a p t e r , b u t f o r n o w w e u s e
Milliseconds 67 109 88 95 70 104 75 209 44 123 18 298 64 96 41 205 76 59 76 90 78 66 155 71 47
Character i n -n -i a n i m n -n -m n f o r m a t l a -a -
Milliseconds 62 77 18 296 131 86 107 84 177 44 68 237 139 134 83 94 110 89 96 65 48 104 122 225 134
Character -l -t l a p p r o a c h s o y o u w i l l
Milliseconds 149 145 185 55 152 104 128 110 315 298 109 92 80 269 70 60 80 75 85 39 63 94 137 126 27
Character s e e h o w t h e y l e a d n a t u r a l
Milliseconds 82 43 133 28 90 65 20 98 163 87 72 85 58 109 276 85 104 100 176 84 105 98 545 63 139
Character l y t o t h e m a i n d i -i -d i d e a o
Milliseconds 125 63 41 105 58 59 78 66 49 40 102 101 49 71 45 107 36 274 119 136 44 155 67 644 101
Character f t h i s c h q a p -p -a -q a p t e r , t h e
Milliseconds 97 55 114 9 75 96 61 122 105 107 0 89 286 127 137 61 89 87 120 58 48 59 95 55 62
Character l i m i t . T h e i d e a o f a l i m
Milliseconds 69 234 38 152 157 110 111 52 175 106 92 68 102 33 195 16 388 73 78 69 84 93 113 75 272
Character i t p l a y s a f o u n d a t i n o -o -n o n
Milliseconds 82 144 75 127 128 89 126 85 54 104 102 96 72 61 127 68 59 113 55 98 36 401 138 164 53
Character a l o r -r -o r o l e t h r o u g h o u t c a
Milliseconds 96 94 92 179 170 243 142 54 104 127 62 61 171 75 111 65 37 51 98 128 83 147 79 155 151
Character l c u l u s .
Milliseconds 97 137 138 133 196 110 76
WPM Timing
Seconds WPM
2.11 56.75
4.23 76.61
6.34 96.47
8.46 100.73
10.57 98.74
12.69 102.15
14.8 104.58
16.92 106.4
19.03 110.34
21.15 110.66
23.26 108.85
25.38 103.09
27.49 106.95
29.6 105.79
31.72 102.52
33.83 103.21
35.95 101.81
38.06 103.41
40.18 102.44
42.29 102.71
44.41 102.96
46.52 101.11
48.64 100.91
50.75 101.91
52.87 101.46
54.98 101.27
57.09 101.73
59.21 98.7
61.32 99.99
63.44 101.77
65.55 101.41
67.67 101.79
69.78 101.63
71.9 100.31
74.01 100.69
76.13 100.73
78.24 99.69
80.36 100.06
82.47 100.69
84.58 99.59
86.7 98.13
88.81 99.04
90.93 98.58
93.04 98.92
95.16 98.36
97.27 98.57
99.39 98.77
101.5 98.6
103.62 98.32
105.73 98.06