markzeras (mrkmat)

Race #24957

View Pit Stop page for race #24957 by mrkmat — Ghost race

View profile for markzeras (mrkmat)

Official speed 112.34 wpm (92.29 seconds elapsed during race)
Without ending ping 112.50 wpm (129 ms delay sending score to TypeRacer’s server)
Timerless 113.08 wpm (475 ms elapsed before first character typed; 91.69 seconds elapsed during race)
Timerless minus one 112.95 wpm, ignoring the first character typed
Race Start November 9, 2023 11:46:21am UTC
Race Finish November 9, 2023 11:47:54am UTC
Outcome Win (1 of 3)
Opponents 2. ocdy1001 (90.03 wpm)
Accuracy 98.7%
Points 303.32
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 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 coccooccurring in nearly everything we bobobnseserve in teh wothe world and universe, and powerful modern instruments help us s see more and more. In this section we interointroduce 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 vgiuve ve precise deveolopments of these important concepts in the next chapter, but for now we use an informal appreoach so you will see hosw they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role 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 475 241 81 147 65 171 86 150 78 92 77 81 102 60 69 68 128 185 78 79 50 42 78 19 140
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 98 67 130 71 70 111 57 91 220 79 48 185 67 106 87 85 17 147 57 159 88 241 146 130 77
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 109 73 107 29 83 55 27 60 63 72 118 78 93 115 153 54 126 52 145 36 134 49 85 87 75
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 79 152 63 129 91 69 54 189 107 192 48 105 25 132 241 45 887 227 104 54 39 136 70 46 108
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 71 59 73 74 47 68 47 78 153 55 108 52 198 36 135 39 100 72 28 67 63 123 69 82 130
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 145 64 110 218 67 83 69 147 48 99 129 54 62 46 31 119 146 170 66 88 193 67 109 52 63
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 55 72 53 50 137 105 67 100 58 55 84 79 47 158 24 29 57 86 80 26 113 155 28 52 71
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 198 79 180 61 107 77 312 52 138 48 132 178 54 61 59 161 50 113 62 59 87 265 92 97 225
Character a t e r i n a b a r r e l c h a n g e a
Milliseconds 56 78 96 82 50 62 55 87 59 142 151 296 217 107 193 75 136 207 81 107 36 127 41 37 194
Character s a f u n c t i o n o f t h e a m o u n
Milliseconds 66 116 85 99 132 81 47 84 147 22 44 30 94 114 51 90 68 34 31 74 102 81 69 82 85
Character t o f l i q u i d p o u r e d i n t o i
Milliseconds 58 84 96 73 63 144 49 147 53 42 161 52 111 56 189 94 40 169 132 111 75 91 51 89 121
Character t ? W e s e e c h a n g e c o c -c -o -c c o
Milliseconds 110 212 104 99 153 91 118 132 137 118 92 70 71 51 36 51 34 144 20 160 287 224 129 158 81
Character -o -c o c c u r r i n g i n n e a r l y e v e
Milliseconds 234 82 164 79 141 98 162 123 84 48 81 36 97 61 64 138 123 57 50 106 116 76 76 113 80
Character r y t h i n g w e b o b -b -o -b o b n s e -e -s -n
Milliseconds 123 39 196 129 105 95 23 119 147 74 94 132 51 113 286 121 128 191 75 5 68 47 406 129 154
Character s e r v e i n t e h w o -t -e -h - -w -o t h e
Milliseconds 157 57 75 212 65 95 80 69 57 11 95 10 70 107 70 269 0 0 0 0 0 140 30 41 78
Character w o r l d a n d u n i v e r s e , a n d p
Milliseconds 123 64 68 81 62 64 118 45 50 53 106 84 81 85 56 144 107 68 53 53 83 34 31 64 87
Character o w e r f u l m o d e r n i n s t r u m e n t
Milliseconds 40 47 47 56 157 56 118 71 87 61 212 118 96 98 91 114 72 70 56 132 66 106 20 179 71
Character s h e l p u s s - s -s e e m o r e a n
Milliseconds 66 156 187 157 72 148 78 157 87 41 85 396 267 156 351 71 134 81 80 57 42 56 45 131 43
Character d m o r e . I n t h i s s e c t i o n w
Milliseconds 78 34 78 53 78 33 82 69 154 80 71 88 43 48 50 89 286 48 162 173 17 43 28 90 159
Character e i n t e r o -i -n -t -e -r -o i n t r o d u c e t
Milliseconds 63 91 104 71 51 38 135 58 361 0 0 0 0 0 225 62 20 151 74 170 34 196 37 206 174
Character h e i d e a s o f a v e r a g e a n d i
Milliseconds 42 33 75 174 100 63 124 130 81 89 96 62 153 120 119 191 77 178 49 120 107 63 52 94 59
Character n s t a n t a n e o u s r a t e s o f c h a
Milliseconds 88 37 63 92 64 120 81 201 284 203 65 69 81 204 40 142 52 115 113 171 77 80 195 63 101
Character n g e , a n d s h o w t h a t t h e y a
Milliseconds 26 81 46 126 75 102 50 58 59 140 36 51 121 68 143 52 28 92 40 106 47 120 64 65 102
Character r e c l o s e l y r e l a t e d t o t h e
Milliseconds 96 61 76 163 64 130 48 54 54 102 61 118 48 110 98 76 53 181 71 154 8 86 57 70 22
Character s l o p e o f a c u r v e a t a p o
Milliseconds 89 109 62 146 169 202 127 143 84 53 93 52 73 90 102 154 58 55 114 89 85 73 89 67 64
Character i n t P o n t h e c u r v e . W e v -v
Milliseconds 172 83 20 113 150 134 91 67 45 29 72 15 79 93 68 109 171 26 51 52 170 145 69 171 356
Character g i u v e - -e -v -u v e p r e c i s e d e v e
Milliseconds 121 67 5 104 45 45 363 129 140 154 206 56 64 137 52 50 169 88 145 80 244 273 65 166 63
Character o -o l o p m e n t s o f t h e s e i m p o r
Milliseconds 365 291 171 139 157 135 90 66 75 90 62 119 154 83 107 42 0 167 68 72 88 75 80 94 25
Character t a n t c o n c e p t s i n t h e n e x t
Milliseconds 572 81 173 106 65 165 34 43 117 45 107 133 71 87 79 63 55 27 79 14 69 92 60 215 141
Character c h a p t e r , b u t f o r n o w w e
Milliseconds 101 126 50 98 110 114 72 78 39 70 96 59 58 63 153 64 115 40 93 57 19 114 197 62 83
Character u s e a n i n f o r m a l a p p r e -e o a c
Milliseconds 153 64 71 41 281 39 77 140 78 100 115 166 60 240 120 73 235 106 95 86 44 292 184 112 89
Character h s o y o u w i l l s e e h o s -s w t
Milliseconds 79 64 243 43 78 134 38 38 82 78 68 161 116 69 35 31 143 104 104 52 70 250 53 75 156
Character h e y l e a d n a t u r a l l y t o t h e
Milliseconds 40 54 118 79 218 56 103 115 76 90 64 118 78 72 57 64 116 47 66 178 0 160 292 29 87
Character m a i n i d e a o f t h i s c h a p t e
Milliseconds 41 126 77 56 74 65 151 112 60 122 159 228 86 81 112 15 59 24 123 128 71 91 79 130 75
Character r , t h e l i m i t . T h e i d e a o f
Milliseconds 89 63 59 101 41 60 46 228 79 81 89 124 73 77 125 52 68 71 133 99 59 128 133 111 90
Character a l i m i t p l a y s a f o u n d a t i
Milliseconds 64 71 65 113 55 84 97 58 151 132 189 140 70 218 101 134 93 72 72 32 40 116 90 184 52
Character o n a l r o l e t h r o u g h o u t c a l c
Milliseconds 21 44 109 242 92 305 74 138 75 121 122 48 110 68 29 60 84 173 55 91 70 168 70 91 150
Character u l u s .
Milliseconds 86 214 91 143 55
WPM Timing
Seconds WPM
1.85 78.01
3.69 107.27
5.54 108.35
7.38 117.02
9.23 115.72
11.07 109.44
12.92 115.16
14.77 115.4
16.61 119.91
18.46 118.97
20.3 118.79
22.15 117.56
24 118.52
25.84 120.74
27.69 120.49
29.53 118.65
31.38 114.73
33.22 115.58
35.07 112.23
36.92 109.54
38.76 110.52
40.61 112.29
42.45 112.5
44.3 109.71
46.15 111.56
47.99 109.77
49.84 110.04
51.68 110.29
53.53 110.3
55.37 110.95
57.22 112.2
59.07 112.75
60.91 113.28
62.76 113.96
64.6 111.45
66.45 111.06
68.3 109.82
70.14 109.66
71.99 110.52
73.83 111.33
75.68 111.31
77.52 110.52
79.37 110.82
81.22 111.26
83.06 111.24
84.91 111.93
86.75 112.32
88.6 112.42
90.45 112.24
92.29 112.34