Marshall (stackattack14)

Race #3326

View Pit Stop page for race #3326 by stackattack14 — Ghost race

View profile for Marshall (stackattack14)

Official speed 112.89 wpm (91.84 seconds elapsed during race)
Without ending ping 114.91 wpm (1,612 ms delay sending score to TypeRacer’s server)
Timerless 115.28 wpm (295 ms elapsed before first character typed; 89.94 seconds elapsed during race)
Timerless minus one 115.15 wpm, ignoring the first character typed
Race Start February 4, 2024 11:06:40pm UTC
Race Finish February 4, 2024 11:08:12pm UTC
Outcome No win (2 of 3)
Opponents 1. dawittymidget (127.29 wpm)
Accuracy 99.3%
Points 304.81
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 objet ct 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 ecsection we introduce the ideas of average and instantanoeous rates of change, and show that they are closely related to the s;llope of a curve at a point P on the curve . We igive 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.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 295 185 74 126 81 167 187 149 41 81 163 16 128 32 115 58 146 165 55 141 54 184 412 91 193
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 92 60 158 96 67 120 63 57 142 48 38 152 37 131 39 87 103 81 65 174 83 123 93 94 61
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 136 83 92 69 78 97 47 138 31 43 119 58 158 64 93 77 100 80 128 38 105 95 58 119 72
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 83 61 41 122 53 55 117 139 55 152 91 242 177 191 318 92 62 100 81 101 52 107 60 24 202
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 88 115 78 69 59 38 66 94 165 123 52 118 74 148 26 148 136 88 65 74 88 78 76 85 100
Character d o f a f a l l i n g o b j e t - -t c t
Milliseconds 148 79 60 68 94 50 84 57 349 73 151 156 44 76 43 125 60 86 65 263 82 373 127 306 176
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 66 225 70 62 92 80 68 92 47 51 88 70 71 109 84 30 77 147 47 108 23 103 55 115 73
Character t i m e ? H o w d o e s t h e l e v e l
Milliseconds 96 62 75 432 177 204 193 128 61 243 150 51 72 102 55 233 67 80 57 596 77 113 112 116 24
Character o f w a t e r i n a b a r r e l c h a n
Milliseconds 139 50 67 72 113 71 127 38 69 136 34 66 88 102 140 81 87 158 113 112 47 171 112 72 93
Character g e a s a f u n c t i o n o f t h e a
Milliseconds 43 92 77 63 72 81 71 94 73 89 34 55 135 55 76 58 92 69 60 70 74 60 87 81 150
Character m o u n t o f l i q u i d p o u r e d i n
Milliseconds 71 89 155 56 76 77 95 87 16 156 142 211 64 122 100 104 146 184 223 91 103 162 89 84 64
Character t o i t ? W e s e e c h a n g e o c c u
Milliseconds 48 96 62 88 74 183 191 124 195 112 82 154 135 68 111 70 73 86 62 84 67 221 96 145 94
Character r r i n g i n n e a r l y e v e r y t h i n
Milliseconds 87 141 103 32 76 55 120 43 35 141 19 85 44 85 135 38 88 146 105 51 45 129 54 58 131
Character g w e o b s e r v e i n t h e w o r l d
Milliseconds 47 105 69 53 77 172 79 362 164 83 171 216 156 103 59 37 118 75 73 63 101 61 109 68 85
Character a n d u n i v e r s e , a n d p o w e r f
Milliseconds 77 87 65 214 82 145 63 99 37 126 56 117 136 85 41 82 85 88 45 149 150 31 129 74 136
Character u l m o d e r n i n s t r u m e n t s h e l
Milliseconds 64 139 79 86 88 68 138 26 127 31 129 42 61 31 121 89 183 144 83 89 64 39 171 118 16
Character p u s s e e m o r e a n d m o r e . I
Milliseconds 176 64 92 101 37 341 178 118 89 144 89 20 63 190 54 106 70 58 201 12 127 23 124 110 195
Character n t h i s e c -c -e s e c t i o n w e i n t
Milliseconds 120 77 119 13 83 134 76 86 153 296 122 67 99 141 149 93 126 54 73 129 49 95 171 40 50
Character r o d u c e t h e i d e a s o f a v e r a
Milliseconds 137 28 129 104 63 99 49 92 74 47 89 142 114 131 49 43 145 99 70 64 61 72 113 57 110
Character g e a n d i n s t a n t a n o -o e o u s r a
Milliseconds 42 95 57 78 79 73 57 128 48 19 104 139 141 108 487 101 90 422 78 100 167 93 54 82 96
Character t e s o f c h a n g e , a n d s h o w t
Milliseconds 61 53 54 84 127 42 83 346 87 90 62 98 66 89 108 62 101 91 92 73 110 30 171 126 108
Character h a t t h e y a r e c l o s e l y r e l a
Milliseconds 105 28 33 112 140 57 79 84 42 86 20 43 73 126 48 160 69 125 50 118 56 90 35 138 128
Character t e d t o t h e s ; l -l -; l o p e o f a
Milliseconds 45 108 167 64 145 67 56 100 75 62 97 100 113 0 394 483 190 140 90 104 157 144 129 89 25
Character c u r v e a t a p o i n t P o n t h
Milliseconds 126 78 108 73 180 45 105 82 32 100 81 71 160 138 151 115 101 45 179 152 104 52 42 90 80
Character e c u r v e - . W e i -i g i v e p r e c
Milliseconds 32 107 88 120 47 169 98 152 267 191 81 96 189 88 190 233 79 140 40 130 50 119 44 56 168
Character i s e d e v e l o p m e n t s o f t h e s e
Milliseconds 91 57 128 77 79 159 147 57 71 148 77 188 81 95 43 55 46 104 60 61 96 59 76 144 148
Character i m p o r t a n t c o n c e p t s i n t h
Milliseconds 77 145 65 120 152 65 138 60 53 127 104 148 38 61 109 103 97 82 38 93 73 76 33 123 90
Character e n e x t c h a p t e r , b u t f o r n
Milliseconds 94 60 189 54 133 150 366 173 57 117 53 114 90 64 67 148 150 50 104 52 142 78 86 77 172
Character o w w e u s e a n i n f o r m a l a p p
Milliseconds 54 145 61 99 59 90 151 19 129 81 123 89 140 102 62 82 513 100 60 133 60 93 126 112 143
Character r o a c h s o y o u w i l l s e e h o w
Milliseconds 115 60 94 65 81 64 89 31 147 85 59 325 131 131 75 180 101 109 93 158 154 72 188 89 93
Character t h e y l e a d n a t u r a l l y t o t
Milliseconds 87 72 107 61 94 39 138 110 70 94 94 145 43 57 75 77 67 46 135 115 70 165 58 109 118
Character h e m a i n i d e a o f t h i s c h a p
Milliseconds 34 96 46 160 105 65 25 98 96 47 142 20 64 141 74 41 133 43 61 88 87 105 81 134 107
Character t e r , t h e l i m i t . T h e i d e a
Milliseconds 99 113 26 68 122 142 73 66 79 153 120 74 135 193 78 205 153 124 96 76 109 35 142 29 101
Character o f a l i m i t p l a y s a f o u n d a
Milliseconds 95 51 117 58 77 167 164 79 107 99 47 151 143 86 93 110 53 85 68 120 50 144 50 67 96
Character t i o n a l r o l e t h r o u g h o u t c a
Milliseconds 62 22 84 67 90 87 49 133 49 157 101 123 159 64 78 71 142 113 72 115 111 68 74 159 220
Character l c u l u s .
Milliseconds 104 117 84 396 151 131 27
WPM Timing
Seconds WPM
1.84 91.46
3.67 91.46
5.51 104.53
7.35 114.33
9.18 114.98
11.02 115.42
12.86 116.66
14.69 117.59
16.53 109.61
18.37 113.67
20.21 110.47
22.04 108.88
23.88 110.06
25.72 113.86
27.55 114.11
29.39 113.1
31.23 112.98
33.06 114.69
34.9 114.16
36.74 114.65
38.57 115.42
40.41 116.11
42.25 115.89
44.08 115.96
45.92 114.72
47.76 115.33
49.59 116.38
51.43 114.79
53.27 115.12
55.1 115.85
56.94 116.33
58.78 114.12
60.62 114.23
62.45 113.94
64.29 113.11
66.13 113.6
67.96 113.71
69.8 113.98
71.64 114.08
73.47 114
75.31 113.93
77.15 113.39
78.98 113.95
80.82 114.48
82.66 114.84
84.49 114.75
86.33 114.81
88.17 115.42
90 114.79
91.84 112.89