lav (lavenderrr)

Race #264

View Pit Stop page for race #264 by lavenderrr — Ghost race

View profile for lav (lavenderrr)

Official speed 126.57 wpm (81.92 seconds elapsed during race)
Without ending ping 126.90 wpm (212 ms delay sending score to TypeRacer’s server)
Timerless 127.41 wpm (328 ms elapsed before first character typed; 81.38 seconds elapsed during race)
Timerless minus one 127.26 wpm, ignoring the first character typed
Race Start January 18, 2024 3:49:26am UTC
Race Finish January 18, 2024 3:50:48am UTC
Outcome Win (1 of 3)
Opponents 2. arkosammy_1208 (111.19 wpm)
3. quit101 (108.44 wpm)
Accuracy 98.6%
Points 341.73
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 Caclculus is a tool that helps us understand how a change in one quantity is related to a changenge 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 obsevrve in the world and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of saverage and instanteaneous rates of ahcnchange, and show that they are closely ralelated to the slop eof e 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 chapte,r the lir, the limit. The idea of a limit plays a fuoundational role throughout calculus.
Timing
Character C a c -c l c u l u s i s a t o o l t h a t
Milliseconds 328 187 227 399 184 59 113 87 115 107 40 85 67 65 70 79 91 76 164 93 72 64 49 60 82
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 2 53 97 101 52 67 68 44 89 81 38 147 77 144 41 100 81 50 57 92 61 51 48 49 94
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 57 92 73 98 69 72 95 96 81 56 101 71 71 93 43 110 103 80 97 68 136 21 171 0 93
Character i s r e l a t e d t o a c h a n -n g e -e -g
Milliseconds 65 83 65 107 75 35 100 92 40 163 20 162 30 174 109 104 76 74 99 58 337 39 146 199 136
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 379 80 103 84 47 109 59 136 66 67 71 72 91 75 50 53 155 130 80 130 93 62 79 74 37
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 81 47 29 126 44 113 60 132 144 51 60 100 76 161 154 54 95 108 175 46 110 50 72 48 63
Character j e c t c h a n g e a s a f u n c t i o n
Milliseconds 73 91 140 156 68 122 62 70 74 64 60 105 94 88 48 128 47 111 90 134 42 173 65 59 60
Character o f t i m e ? H o w d o e s t h e l e
Milliseconds 77 69 26 109 67 55 135 43 203 102 175 107 85 118 54 95 103 72 34 101 25 61 58 70 36
Character v e l o f w a t e r i n a b a r r e l
Milliseconds 128 132 56 71 84 68 77 49 79 64 131 75 71 42 136 53 59 92 115 164 50 188 114 117 53
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 52 106 75 59 68 72 93 98 63 62 100 68 115 85 143 52 165 69 79 67 64 102 11 130 86
Character h e a m o u n t o f l i q u i d p o u r e
Milliseconds 61 56 63 68 93 135 53 131 26 105 72 46 90 69 49 76 105 55 97 101 64 62 77 43 73
Character d i n t o i t ? W e s e e c h a n g e
Milliseconds 135 50 46 110 42 120 86 105 147 265 94 165 183 107 80 41 171 188 143 123 72 78 79 46 76
Character o c c u r r i n g i n n e a r l y e v e r y
Milliseconds 67 108 150 87 100 167 97 105 65 68 65 108 83 93 25 91 71 84 46 52 66 137 156 48 72
Character t h i n g w e o b s e v -v r v e i n t h e
Milliseconds 105 71 35 131 58 91 52 39 103 58 64 159 39 211 295 91 165 128 45 43 116 60 49 53 64
Character w o r l d a n d u n i v e r s e , a n d
Milliseconds 64 74 87 92 59 129 42 101 48 92 39 81 157 72 50 153 53 128 68 88 55 41 59 84 85
Character p o w e r f u l m o d e r n i n s t r u m e n
Milliseconds 76 48 63 73 68 170 45 67 73 145 82 116 168 21 67 60 73 103 43 63 156 68 160 18 131
Character t s h e l p u s s e e m o r e a n d m
Milliseconds 23 80 44 64 93 80 47 56 81 68 103 113 80 141 111 46 54 76 44 67 92 42 105 26 64
Character o r e . I n t h i s s e c t i o n w e i
Milliseconds 55 69 48 101 76 176 139 76 63 114 46 86 81 106 107 130 157 56 43 60 51 56 41 99 86
Character n t r o d u c e t h e i d e a s o f s -s a
Milliseconds 96 77 149 27 142 38 108 153 41 109 40 44 75 61 48 142 111 81 102 53 99 71 194 270 111
Character v e r a g e a n d i n s t a n t e -e a n e o u
Milliseconds 123 137 52 141 62 72 101 82 76 67 52 72 92 68 39 89 55 110 122 345 122 56 92 89 55
Character s r a t e s o f a h c n -n -c -h -a c h a n g e
Milliseconds 113 102 120 125 87 77 81 22 77 86 51 60 113 43 114 274 149 165 130 82 98 60 79 57 63
Character , a n d s h o w t h a t t h e y a r e
Milliseconds 114 59 430 93 56 75 94 51 43 88 93 60 71 51 84 45 93 43 68 82 72 43 64 39 48
Character c l o s e l y r a l -l -a e l a t e d t o t h
Milliseconds 120 60 114 62 51 80 73 93 18 137 63 288 133 94 90 67 92 55 143 6 183 36 83 64 52
Character e s l o p e o f - -f -o -e - e o f a c u
Milliseconds 27 108 69 88 136 59 125 21 44 181 0 301 140 164 162 164 124 103 67 94 74 82 61 95 84
Character r v e a t a p o i n t P o n t h e c
Milliseconds 72 175 114 83 83 59 61 96 68 92 47 81 134 93 90 216 126 97 150 83 19 65 23 89 101
Character u r v e . W e g i v e p r e c i s e d e v
Milliseconds 79 114 153 117 57 48 165 146 129 65 114 54 133 59 63 60 64 154 51 109 80 72 181 181 130
Character e l o p m e n t s o f t h e s e i m p o r t
Milliseconds 142 47 90 105 124 62 71 84 100 40 66 97 58 79 64 32 121 80 100 89 104 76 45 41 129
Character a n t c o n c e p t s i n t h e n e x t
Milliseconds 48 56 83 80 117 69 72 51 176 43 82 104 31 56 101 72 23 76 28 103 60 43 148 178 104
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 114 76 70 88 68 127 63 51 68 166 84 84 72 100 55 92 77 50 59 33 117 80 55 98 71
Character s e a n i n f o r m a l a p p r o a c h s
Milliseconds 67 77 42 129 50 103 57 108 55 81 62 87 86 248 128 114 94 123 59 103 80 131 70 55 72
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 81 72 105 111 75 36 51 110 149 136 78 152 57 172 93 34 60 85 96 71 68 39 106 58 94
Character e a d n a t u r a l l y t o t h e m a i n
Milliseconds 43 72 137 57 52 69 76 51 92 75 18 140 51 84 84 97 55 30 82 20 100 64 101 93 87
Character i d e a o f t h i s c h a p t e , r t h
Milliseconds 84 67 31 157 90 100 52 109 56 120 26 51 93 72 107 55 98 84 91 137 83 3 60 84 23
Character e l i -i -l - -e -h -t - -r -, r , t h e l i m i t
Milliseconds 65 60 32 67 258 149 167 158 166 161 161 155 158 134 89 63 52 55 64 57 47 48 135 97 59
Character . T h e i d e a o f a l i m i t p l a
Milliseconds 119 72 96 51 86 53 64 63 119 68 80 44 75 86 51 90 68 59 148 92 107 89 61 69 55
Character y s a f u -u o u n d a t i o n a l r o l e
Milliseconds 83 84 89 51 99 82 75 395 172 56 134 45 134 62 48 47 40 105 72 72 84 63 109 55 81
Character t h r o u g h o u t c a l c u l u s .
Milliseconds 60 59 99 24 47 72 72 107 64 35 116 93 106 46 109 54 110 80 103 105
WPM Timing
Seconds WPM
1.64 43.95
3.28 102.55
4.91 122.08
6.55 128.18
8.19 128.91
9.83 113.53
11.47 117.19
13.11 119.94
14.74 121.26
16.38 124.52
18.02 124.52
19.66 127.57
21.3 127.9
22.94 128.7
24.57 130.38
26.21 128.64
27.85 127.97
29.49 129
31.13 127.6
32.77 128.91
34.4 130.1
36.04 130.51
37.68 131.84
39.32 131.54
40.96 132.72
42.6 131
44.23 130.49
45.87 130.01
47.51 127.55
49.15 128.67
50.79 127.59
52.43 127.04
54.06 125.41
55.7 125.17
57.34 125.15
58.98 124.93
60.62 125.51
62.26 126.45
63.89 126.59
65.53 127.45
67.17 127.38
68.81 127.48
70.45 128.27
72.09 128.68
73.72 127.61
75.36 125.63
77 126.39
78.64 126.2
80.28 126.46
81.92 126.57