Saul (paulsaredes)

Race #3667

View Pit Stop page for race #3667 by paulsaredes — Ghost race

View profile for Saul (paulsaredes)

Official speed 93.42 wpm (110.98 seconds elapsed during race)
Without ending ping 93.56 wpm (165 ms delay sending score to TypeRacer’s server)
Timerless 93.81 wpm (293 ms elapsed before first character typed; 110.53 seconds elapsed during race)
Timerless minus one 93.70 wpm, ignoring the first character typed
Race Start September 4, 2023 8:01:16pm UTC
Race Finish September 4, 2023 8:03:06pm UTC
Outcome No win (3 of 5)
Opponents 1. coder_onehundred (136.56 wpm)
2. hxnter (104.26 wpm)
Accuracy 97.5%
Points 252.23
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 Calculus is a tool that helps us sunderstand nhow a change in one quenantitiy y is related to a change in another. How does the speed of a falling object change as a function of time? How deos oes the level of water in a barrel change as a function of the amoutn ofnt of liquid poured into it/? We see change occurring in nearly everything we observe in the world and universe, and powerful mordern instruments help us see more and more. In this section we introduce the ideas of average and instatntan3eoeous rates of ahcchanger, an,k and hsoshow that they are closely related to the slope of a curve at a pointP P on the curve. We give precise cddevel0popments of these important concepts in the nesxt xt 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 olf f a limit plays a foundational roles th 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 293 183 77 110 145 92 145 137 268 339 99 107 73 80 84 88 126 156 66 105 84 48 69 30 124
Character e l p s u s s -s u n d e r s t a n d n -n h o
Milliseconds 72 68 147 88 75 118 104 59 126 365 144 140 32 179 90 70 99 135 71 103 46 113 308 161 52
Character w a c h a n g e i n o n e q u e n -n -e a
Milliseconds 47 75 93 76 112 70 98 63 123 124 40 109 59 47 145 50 80 88 181 81 114 134 358 97 114
Character n t i t i y - -y -i y i s r e l a t e d t o
Milliseconds 110 129 86 74 89 121 135 228 115 120 89 139 134 93 65 186 84 122 62 71 74 157 64 123 47
Character a c h a n g e i n a n o t h e r . H o w
Milliseconds 64 65 87 117 77 97 111 213 131 55 142 50 70 84 87 89 73 87 44 82 60 57 161 110 96
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 90 99 61 96 53 66 92 68 57 68 99 75 133 156 135 104 82 109 52 96 63 103 76 84 112
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 157 60 60 101 82 135 215 95 165 90 89 237 89 75 78 107 129 126 119 76 127 64 93 85 121
Character n c t i o n o f t i m e ? H o w d e o s
Milliseconds 156 100 116 54 70 71 61 169 81 80 111 62 43 48 227 142 287 152 92 70 115 149 24 51 201
Character - -s -o -e o e s t h e l e v e l o f w a t e
Milliseconds 267 112 132 111 215 56 39 92 101 84 55 78 141 13 174 134 63 42 241 106 53 106 143 94 112
Character r i n a b a r r e l c h a n g e a s a
Milliseconds 88 21 123 69 61 110 42 168 208 200 218 217 137 71 247 68 83 74 91 119 84 71 94 78 106
Character f u n c t i o n o f t h e a m o u t n o
Milliseconds 64 103 89 167 151 130 51 55 70 104 116 103 63 95 56 66 61 94 15 185 49 149 11 121 96
Character f -f -o - -n -t n t o f l i q u i d p o u r e d
Milliseconds 90 252 115 119 118 114 260 85 56 110 85 39 147 138 147 116 54 215 86 120 95 140 195 88 226
Character i n t o i t / -/ ? W e s e e c h a n g e
Milliseconds 135 157 161 128 107 93 153 75 138 361 196 101 248 197 77 119 165 116 86 107 77 58 105 68 134
Character o c c u r r i n g i n n e a r l y e v e r
Milliseconds 82 89 131 150 138 106 192 161 41 98 77 70 65 93 301 86 68 77 89 106 56 145 135 133 40
Character y t h i n g w e o b s e r v e i n t h e
Milliseconds 82 97 60 126 68 53 136 99 39 106 369 128 360 117 90 193 112 114 110 50 78 69 93 47 83
Character w o r l d a n d u n i v e r s e , a n d p
Milliseconds 79 81 71 99 56 98 55 88 72 53 144 134 149 132 170 82 135 67 65 53 90 108 75 59 126
Character o w e r f u l m o r -r d e r n i n s t r u m e
Milliseconds 20 101 65 91 251 126 84 128 274 144 110 312 94 164 56 64 55 164 61 404 110 189 125 160 79
Character n t s h e l p u s s e e m o r e a n d
Milliseconds 78 72 85 81 160 84 96 293 113 314 108 55 366 166 134 66 158 47 40 44 112 98 59 92 40
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 135 85 28 57 101 52 190 115 84 71 99 34 99 73 343 86 182 102 2 98 71 69 435 63 71
Character i n t r o d u c e t h e i d e a s o f a v
Milliseconds 222 52 362 177 153 167 96 81 161 72 64 75 75 61 130 98 165 149 250 133 523 109 58 93 125
Character e r a g e a n d i n s t a t -t n t a n 3 e o -o
Milliseconds 142 58 131 68 111 77 84 74 67 59 99 54 130 114 117 402 352 216 88 161 164 303 3 254 381
Character -e -3 e o u s r a t e s o f a h c -c -h -a c h a
Milliseconds 126 113 131 124 27 102 97 178 79 121 67 66 49 151 49 68 181 132 115 209 111 124 134 77 79
Character n g e r , a n -n -a - -, -r , k - -k a n d h s
Milliseconds 77 98 104 5 37 58 79 78 238 107 122 118 100 255 34 112 309 98 184 166 87 79 51 141 0
Character o -o -s -h s h o w t h a t t h e y a r e c l
Milliseconds 76 314 119 108 155 66 32 86 77 67 101 284 77 113 75 77 92 79 55 174 92 60 47 152 63
Character o s e l y r e l a t e d t o t h e s l o p
Milliseconds 136 44 51 107 131 89 164 86 404 84 65 68 159 56 116 30 74 65 68 76 67 124 70 146 117
Character e o f a c u r v e a t a p o i n t P
Milliseconds 192 108 124 57 84 72 93 87 88 81 285 160 92 113 70 85 91 139 355 21 122 50 76 297 142
Character - -P P o n t h e c u r v e . W e g i v
Milliseconds 252 102 101 197 118 184 62 67 132 102 74 72 132 109 74 201 240 114 60 332 170 68 242 99 82
Character e p r e c i s e c d -d -c d e v e l 0 p -p -0 o p
Milliseconds 103 50 129 120 98 318 150 153 67 83 186 41 356 95 104 149 131 129 30 190 85 352 100 226 52
Character m e n t s o f t h e s e i m p o r t a n t
Milliseconds 187 87 84 127 67 99 137 47 94 94 82 95 152 67 28 213 75 205 29 481 236 118 115 85 71
Character c o n c e p t s i n t h e n e s x t - -t -x
Milliseconds 113 86 56 68 180 100 109 98 143 172 25 116 37 99 59 89 179 112 160 15 91 99 284 124 120
Character -s x t c h a p t e r , b u t f o r n o w
Milliseconds 121 144 125 81 157 70 106 52 111 132 68 61 44 155 194 85 74 112 41 115 38 72 92 45 134
Character w e u s e a n i n f o r m a l a p p r o a
Milliseconds 105 73 69 132 84 63 76 130 94 76 166 61 128 101 87 439 168 151 70 185 66 97 187 254 145
Character c h s o y o u w i l l s e e h o w t h
Milliseconds 158 68 62 110 56 69 108 71 37 68 44 180 179 218 79 199 136 148 80 180 75 88 89 211 111
Character e y l e a d n a t u r a l l y t o t h e
Milliseconds 72 74 6 180 60 83 97 107 118 128 86 105 82 70 81 114 74 88 94 69 83 49 76 83 32
Character m a i n i d e a o f t h i s c h a p t e r
Milliseconds 154 84 92 33 93 122 103 155 57 82 139 77 60 123 57 61 75 48 134 94 65 129 32 174 88
Character , t h e l i m i t . T h e i d e a o l f
Milliseconds 25 46 146 69 94 36 117 146 56 130 143 100 96 132 150 84 103 123 547 161 100 22 147 14 132
Character - -f -l f a l i m i t p l a y s a f o u
Milliseconds 93 266 119 125 172 75 436 106 183 153 61 125 116 67 108 48 127 90 103 72 96 74 103 98 44
Character n d a t i o n a l r o l e s t h -h -t - -s t h
Milliseconds 167 56 100 135 211 64 69 91 89 106 140 71 133 50 81 45 119 95 275 118 126 107 176 118 71
Character r o u g h o u t c a l c u l u s .
Milliseconds 119 60 50 78 124 387 32 87 79 134 143 357 192 89 124 92 110 79
WPM Timing
Seconds WPM
2.22 75.69
4.44 89.2
6.66 93.71
8.88 91.91
11.1 88.66
13.32 96.41
15.54 101.17
17.76 102.04
19.98 105.12
22.2 98.39
24.42 100.75
26.64 100.47
28.86 102.72
31.08 99.24
33.29 98.39
35.51 96.64
37.73 97.31
39.95 98.21
42.17 99.3
44.39 100.29
46.61 98.86
48.83 98.54
51.05 99.19
53.27 99.34
55.49 98.83
57.71 98.98
59.93 96.71
62.15 95.96
64.37 93.77
66.59 91.91
68.81 93.13
71.03 93.76
73.25 93.87
75.47 93.18
77.69 93.14
79.91 92.21
82.13 91.91
84.35 91.91
86.57 91.63
88.79 91.77
91.01 92.3
93.23 92.55
95.45 92.79
97.66 93.63
99.88 94.55
102.1 94.49
104.32 93.52
106.54 94.16
108.76 93.67
110.98 93.42