Manik2375 (manik2375)

Race #1637

View Pit Stop page for race #1637 by manik2375 — Ghost race

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Official speed 96.75 wpm (107.16 seconds elapsed during race)
Without ending ping 97.08 wpm (360 ms delay sending score to TypeRacer’s server)
Timerless 97.13 wpm (57 ms elapsed before first character typed; 106.75 seconds elapsed during race)
Timerless minus one 97.02 wpm, ignoring the first character typed
Race Start March 17, 2024 8:15:32pm UTC
Race Finish March 17, 2024 8:17:20pm UTC
Outcome No win (2 of 4)
Accuracy 97.2%
Points 261.23
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 alCalculus is a tool that helps uns understand how a change is n one wqquantitiy iy is related to a change in another . How does the speed of a falling aoobject change as a function of time? How does the level of water in a barrleel change as a function of the amount of liquid poured into it? We see change occuring ring in nearly everything we observer in t in the world and universe, and powerful modern instruments help us see more and more. IN thin this section we introduce the ideas of average and instatnntaneous rates of change, and show that they wer eare clsoelosely related to the slope of a curve at a point P on the curve. We give praecise developments of these important icconcepts 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 cah=hahaptureer, the limit, . The idea of a limit plays a foundational role throughout clalculus.
Timing
Character a l -l -a C a l c u l u s i s a t o o l t h
Milliseconds 57 117 530 130 236 101 67 134 83 129 141 223 109 112 103 52 145 71 119 101 150 160 53 86 67
Character a t h e l p s u n -n s u n d e r s t a n d
Milliseconds 84 64 0 129 165 69 154 118 97 116 185 312 91 51 120 144 65 147 66 84 101 118 69 66 65
Character h o w a c h a n g e i s - -s n o n e w
Milliseconds 85 67 78 19 174 42 179 72 100 50 295 171 94 140 229 104 299 117 128 90 100 70 89 77 209
Character q -q -w q u a n t i t i y i -i - -y -i y i s r e
Milliseconds 87 211 123 42 128 72 101 74 100 99 84 116 82 99 237 131 135 117 175 58 120 54 84 136 73
Character l a t e d t o a c h a n g e i n a n o t
Milliseconds 67 131 88 88 146 99 89 74 70 96 118 114 86 67 86 79 107 44 84 83 73 127 69 113 59
Character h e r - . H o w d o e s t h e s p e e d
Milliseconds 142 120 80 117 330 456 113 210 143 64 83 120 67 97 79 58 96 67 70 65 101 76 167 149 166
Character o f a f a l l i n g a o -o -a o b j e c t
Milliseconds 28 114 91 72 134 85 129 84 67 147 118 70 65 71 170 72 274 133 177 106 85 113 181 102 64
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 305 63 88 89 107 162 82 190 91 91 121 70 91 52 150 48 117 45 72 83 89 79 106 38 154
Character i m e ? H o w d o e s t h e l e v e l o
Milliseconds 29 68 83 264 58 184 81 84 82 135 66 133 101 166 117 83 99 68 116 67 153 93 36 95 108
Character f w a t e r i n a b a r r l e -e -l e l c
Milliseconds 64 85 131 153 76 143 61 36 99 83 66 62 105 99 152 145 176 117 44 367 117 167 101 98 82
Character h a n g e a s a f u n c t i o n o f t h
Milliseconds 70 72 87 206 147 53 148 83 85 227 104 120 88 124 55 104 46 48 69 77 111 110 47 105 49
Character e a m o u n t o f l i q u i d p o u r e d
Milliseconds 54 46 100 95 153 102 164 69 61 107 82 100 76 74 229 114 74 88 106 271 169 81 83 169 163
Character i n t o i t ? W e s e e c h a n g e o
Milliseconds 35 83 56 145 395 121 164 53 264 96 206 164 71 100 82 152 91 327 97 55 96 66 101 51 113
Character c c u r i n g - -g -n -i r i n g i n n e a r l
Milliseconds 164 151 87 95 104 50 116 71 325 131 121 136 133 105 99 68 45 102 75 71 121 82 132 83 101
Character y e v e r y t h i n g w e o b s e r v e r
Milliseconds 116 94 539 151 132 69 33 116 63 95 40 67 49 84 67 67 167 112 172 83 99 203 148 65 34
Character i n t -t - -n -i - -r i n t h e w o r l d a
Milliseconds 101 82 69 34 280 134 134 133 131 135 132 112 73 69 48 78 39 72 330 87 98 63 99 35 133
Character n d u n i v e r s e , a n d p o w e r f u l
Milliseconds 66 67 45 119 140 83 50 148 80 67 67 69 65 100 83 101 83 99 161 71 34 67 143 75 95
Character m o d e r n i n s t r u m e n t s h e l p
Milliseconds 77 84 87 107 152 74 90 67 118 82 98 95 141 47 156 78 99 84 64 106 283 90 113 233 162
Character u s s e e m o r e a n d m o r e . I N
Milliseconds 112 87 68 296 391 160 37 115 96 53 67 35 146 44 63 62 100 86 31 67 83 84 133 75 72
Character t h i -i -h -t - -N n t h i s s e c t i o n w e
Milliseconds 86 83 59 270 138 137 128 129 155 103 149 62 49 104 51 117 87 178 83 71 73 75 60 78 73
Character i n t r o d u c e t h e i d e a s o f a
Milliseconds 38 132 65 71 133 42 185 104 136 166 65 167 67 82 56 116 102 164 113 114 85 95 89 85 184
Character v e r a g e a n d i n s t a t n -n -t n t a n e
Milliseconds 202 212 94 137 79 140 35 99 83 22 82 96 52 43 82 128 82 51 378 111 245 108 247 203 119
Character o u s r a t e s o f c h a n g e , a n d
Milliseconds 242 93 99 87 117 134 105 108 82 89 117 43 99 97 85 87 66 99 122 80 545 138 71 61 85
Character s h o w t h a t t h e y w e r e -e - -r -e -w
Milliseconds 95 103 0 100 66 164 75 105 75 51 193 87 89 61 68 135 66 83 98 43 278 146 134 246 186
Character a r e c l s o e l -l -e -o -s o s e l y r e l a t
Milliseconds 149 68 88 31 165 47 162 0 183 113 259 137 131 334 167 83 70 80 166 79 72 51 98 50 86
Character e d t o t h e s l o p e o f a c u r v
Milliseconds 81 129 86 100 73 81 48 84 81 35 106 44 155 128 85 33 126 41 80 95 92 514 148 85 167
Character e a t a p o i n t P o n t h e c u r
Milliseconds 101 37 144 69 29 138 70 309 223 96 36 98 78 248 171 215 98 74 54 56 40 50 145 50 71
Character v e . W e g i v e p r a -a e c i s e d e v
Milliseconds 182 95 28 68 271 155 84 134 100 83 106 29 98 157 106 250 125 176 83 154 83 78 120 166 118
Character e l o p m e n t s o f t h e s e i m p o r t
Milliseconds 83 69 149 133 100 147 83 96 91 60 54 104 51 102 56 56 98 70 65 107 93 100 151 71 148
Character a n t i c -c -i c o n c e p t s i n t h e n
Milliseconds 85 83 100 478 228 117 205 104 121 59 65 67 165 81 104 92 75 115 69 68 66 51 73 74 61
Character e x t c h a p t e r , b u t f o r n o w
Milliseconds 57 367 115 38 147 64 85 69 82 115 85 18 64 134 96 92 51 130 92 77 0 97 79 40 77
Character w e u s e a n i n f o r m a l a p p r o a
Milliseconds 118 62 110 135 64 68 79 183 67 84 115 82 70 89 61 109 96 76 100 116 83 117 99 84 20
Character c h s o y o u w i l l s e e h o w t h
Milliseconds 178 112 223 196 71 78 117 82 92 36 36 95 136 149 79 28 158 179 82 136 69 104 50 226 71
Character e y l e a d n a t u r a l l y t o t h e
Milliseconds 64 83 67 67 67 101 83 82 150 101 121 112 67 66 51 133 117 82 52 73 91 118 57 89 70
Character m a i n i d e a o f t h i s c a h -h = h a
Milliseconds 100 66 84 66 86 110 52 182 97 41 97 87 33 149 50 51 99 82 219 133 115 365 283 167 97
Character -a -h -= -a h a p t u r e -e -r -u e r , t h e l i m
Milliseconds 169 140 130 113 153 83 52 133 116 100 66 239 127 134 151 94 105 49 96 56 55 45 66 49 133
Character i t , - -, . T h e i d e a o f a l i m
Milliseconds 134 101 150 100 393 149 183 79 177 51 110 24 84 148 183 96 38 134 85 90 59 115 68 87 114
Character i t p l a y s a f o u n d a t i o n a l r
Milliseconds 82 83 61 106 134 92 91 84 98 116 85 100 37 64 149 262 120 183 101 76 72 110 92 66 106
Character o l e t h r o u g h o u t c l -l a l c u l u s
Milliseconds 48 146 68 43 121 48 124 38 43 131 52 202 88 253 139 215 68 399 183 68 168 82 198 248 102
Character .
Milliseconds 87
WPM Timing
Seconds WPM
2.14 50.39
4.29 86.78
6.43 93.32
8.57 83.98
10.72 79.51
12.86 83.05
15 84.78
17.15 87.48
19.29 87.09
21.43 88.46
23.58 92.13
25.72 94.25
27.86 93.03
30.01 94.78
32.15 97.05
34.29 96.23
36.44 96.17
38.58 94.25
40.72 94.59
42.87 93.22
45.01 93.58
47.15 95.44
49.29 96.16
51.44 95.88
53.58 94.51
55.72 96.04
57.87 96.22
60.01 95.78
62.15 95.95
64.3 96.3
66.44 94.64
68.58 93.26
70.73 94.5
72.87 94.52
75.01 95.02
77.16 94.72
79.3 95.48
81.44 94.74
83.59 95.47
85.73 96.72
87.87 97.23
90.02 97.72
92.16 98.57
94.3 99.13
96.45 97.42
98.59 96.89
100.73 96.85
102.88 97.17
105.02 97.7
107.16 96.75