Anmol (anmol_up70)

Race #7907

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Official speed 93.73 wpm (110.62 seconds elapsed during race)
Without ending ping 95.09 wpm (1,582 ms delay sending score to TypeRacer’s server)
Timerless 95.28 wpm (216 ms elapsed before first character typed; 108.82 seconds elapsed during race)
Timerless minus one 95.17 wpm, ignoring the first character typed
Race Start July 11, 2023 2:39:25am UTC
Race Finish July 11, 2023 2:41:15am UTC
Outcome No win (2 of 3)
Accuracy 98.4%
Points 253.06
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 xcCalculus is a too l that helps us understand how a chnaange 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 chante oge 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 tgigive precise developments of these important concepts in the next chapter, but for now we use an informal approach aso so you will see how they lead naturally to the main idea of this chapter, hte lithe mllimit. THeidThe idea of a climit plays a foundational role throughout clacclaalculus.
Timing
Character x c -c -x C a l c u l u s i s a t o o - l
Milliseconds 216 0 662 99 934 462 152 232 150 121 112 129 121 48 129 54 103 58 141 58 122 542 384 169 150
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 183 60 103 65 79 95 176 170 174 127 76 103 119 103 113 145 142 176 266 231 207 97 81 167 129
Character h o w a c h n a -a -n a n g e i n o n e q
Milliseconds 222 51 128 72 115 91 157 97 153 50 536 102 146 72 134 105 58 123 99 55 121 144 105 53 138
Character u a n t i t y i s r e l a t e d t o a c
Milliseconds 102 121 63 194 47 174 155 161 168 142 136 153 78 131 151 215 145 147 116 80 105 49 134 138 279
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 247 107 56 125 97 57 39 96 103 210 94 59 156 50 105 79 49 111 136 119 105 106 131 91 70
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 106 71 63 74 88 49 83 0 188 106 166 115 46 119 72 77 115 52 100 83 865 108 65 157 59
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 49 118 152 152 143 147 101 176 145 104 169 99 107 64 80 123 78 96 93 45 143 136 119 305 134
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 44 95 80 121 52 113 112 42 77 95 162 111 144 192 115 94 142 114 48 72 112 40 90 54 66
Character l e v e l o f w a t e r i n a b a r r e
Milliseconds 72 94 135 90 49 134 121 68 107 61 59 105 120 81 58 62 72 64 101 91 86 66 237 153 136
Character l c h a n g e a s a f u n c t i o n o f
Milliseconds 113 112 168 144 96 86 152 76 93 78 130 128 72 113 80 167 129 113 183 65 48 86 144 140 94
Character t h e a m o u n t o f l i q u i d p o u
Milliseconds 60 99 54 76 59 98 125 68 125 131 129 79 43 92 104 59 70 136 120 86 194 120 137 167 207
Character r e d i n t o i t ? W e s e e c h a n t
Milliseconds 258 162 142 93 64 85 64 88 109 169 95 193 171 179 226 113 97 201 108 130 143 527 65 102 110
Character e o -o - -e -t g e o c c u r r i n g i n n e
Milliseconds 105 84 223 416 302 112 196 316 104 90 311 138 142 118 68 206 191 116 66 134 24 53 127 202 119
Character a r l y e v e r y t h i n g w e o b s e r v
Milliseconds 112 57 144 142 104 78 122 88 97 63 103 82 65 86 65 62 99 40 160 40 158 129 73 88 175
Character e i n t h e w o r l d a n d u n i v e r
Milliseconds 480 88 135 98 45 81 86 58 67 72 56 86 60 115 90 103 104 97 79 71 121 103 50 134 82
Character s e , a n d p o w e r f u l m o d e r n i
Milliseconds 120 65 86 111 48 106 57 72 142 145 111 54 66 143 98 87 112 95 83 38 167 59 117 105 88
Character n s t r u m e n t s h e l p u s s e e m o
Milliseconds 80 88 152 152 88 136 111 50 134 128 105 113 79 70 173 117 111 96 105 98 174 119 144 51 120
Character r e a n d m o r e . I n t h i s s e c t
Milliseconds 46 103 51 62 119 49 103 50 89 74 69 87 121 143 160 144 85 52 70 112 82 88 118 169 207
Character i o n w e i n t r o d u c e t h e i d e a
Milliseconds 71 74 67 46 110 53 114 167 98 112 368 279 219 136 64 125 59 102 56 113 95 0 96 159 98
Character s o f a v e r a g e a n d i n s t a n t a
Milliseconds 97 112 72 122 77 66 129 107 348 126 120 100 85 86 80 82 87 48 103 41 87 108 143 181 143
Character n e o u s r a t e s o f c h a n g e , a n
Milliseconds 297 200 658 238 128 81 120 94 131 86 131 80 117 90 103 151 121 66 48 179 64 106 137 66 142
Character d s h o w t h a t t h e y a r e c l o s
Milliseconds 53 98 73 103 80 58 89 73 71 261 130 134 74 63 94 38 69 96 105 61 54 138 231 137 75
Character e l y r e l a t e d t o t h e s l o p e
Milliseconds 55 64 153 92 61 93 64 89 119 98 143 73 77 58 97 61 37 71 106 62 150 135 191 138 83
Character o f a c u r v e a t a p o i n t P o
Milliseconds 71 101 71 83 137 111 207 66 190 112 111 73 103 83 48 133 43 174 88 184 136 80 127 145 128
Character n t h e c u r v e . W e t g i -t -g -i g i v
Milliseconds 104 61 107 36 97 77 110 96 78 146 112 112 81 183 216 108 294 0 165 425 0 0 184 135 106
Character e p r e c i s e d e v e l o p m e n t s o f
Milliseconds 87 51 94 104 69 226 112 111 37 107 777 152 142 83 104 137 160 159 128 76 109 112 103 78 59
Character t h e s e i m p o r t a n t c o n c e p t s
Milliseconds 115 71 78 86 177 67 55 156 108 93 128 94 178 112 69 115 80 133 81 98 92 93 118 104 152
Character i n t h e n e x t c h a p t e r , b u t
Milliseconds 106 118 65 40 49 87 65 57 270 130 150 183 108 205 128 96 112 120 119 96 44 133 66 126 74
Character f o r n o w w e u s e a n i n f o r m
Milliseconds 107 99 49 105 105 0 68 52 94 121 51 91 119 44 63 134 72 44 165 103 66 86 128 63 121
Character a l a p p r o a c h a s o -a -s -o - s o y o
Milliseconds 152 120 135 61 132 423 128 137 143 132 133 112 62 51 112 79 326 0 0 0 156 55 117 68 95
Character u w i l l s e e h o w t h e y l e a d
Milliseconds 72 61 68 89 158 103 104 168 216 112 151 132 54 62 105 49 72 57 55 90 187 147 111 64 128
Character n a t u r a l l y t o t h e m a i n i d e
Milliseconds 50 54 74 102 80 103 0 104 137 135 112 68 85 89 0 110 79 40 69 133 66 54 120 28 116
Character a o f t h i s c h a p t e r , h t e l i
Milliseconds 465 219 84 136 109 70 65 66 99 70 67 86 88 59 158 119 74 42 164 161 0 150 49 0 66
Character -l -i -h -t -e - t h e m l -m -l l i m i t . T H e i
Milliseconds 399 0 111 0 0 0 256 68 141 118 139 102 441 0 183 89 55 138 111 128 128 192 32 113 118
Character d -T -H -e -i -d T h e i d e a o f a c -c l i m
Milliseconds 80 339 0 0 0 0 749 63 106 106 133 64 137 118 106 144 128 58 111 123 117 519 185 73 134
Character i t p l a y s a f o u n d a t i o n a l r
Milliseconds 88 104 88 64 127 66 41 182 97 81 136 69 89 66 126 112 96 139 230 57 95 127 96 145 127
Character o l e t h r o u g h o u t c l a c -c -l -a -c c l
Milliseconds 49 127 112 65 127 43 102 79 112 59 117 99 103 62 103 75 142 57 176 447 0 0 0 178 119
Character a -a -l a l c u l u s .
Milliseconds 153 344 87 79 120 136 184 199 145 132 45
WPM Timing
Seconds WPM
2.21 5.42
4.42 46.11
6.64 52.43
8.85 59.67
11.06 61.84
13.27 67.8
15.49 69.74
17.7 76.62
19.91 81.36
22.12 80.82
24.34 83.34
26.55 86.79
28.76 89.71
30.97 90.27
33.18 93.3
35.4 92.89
37.61 91.25
39.82 87.69
42.03 88.21
44.25 89.77
46.46 90.92
48.67 92.7
50.88 93.39
53.1 94.92
55.31 95.68
57.52 95.55
59.73 96.23
61.94 94.92
64.16 95.77
66.37 96.55
68.58 97.46
70.79 97.8
73.01 98.13
75.22 97
77.43 96.24
79.64 96.88
81.86 97.2
84.07 98.06
86.28 98.19
88.49 97.77
90.7 98.03
92.92 99.19
95.13 99.28
97.34 97.51
99.55 96.19
101.77 95.75
103.98 96.02
106.19 96.51
108.4 95.09
110.62 93.73