Gordon (gordon_ramsay)

Race #3695

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Official speed 119.15 wpm (87.02 seconds elapsed during race)
Without ending ping 119.67 wpm (378 ms delay sending score to TypeRacer’s server)
Timerless 120.19 wpm (375 ms elapsed before first character typed; 86.26 seconds elapsed during race)
Timerless minus one 120.05 wpm, ignoring the first character typed
Race Start January 4, 2024 2:20:11pm UTC
Race Finish January 4, 2024 2:21:38pm UTC
Outcome Win (1 of 2)
Accuracy 98.5%
Points 321.69
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 toll ol that helps us understand how a change in one quanittity is related to a change in another. How does the speed of a falling oebbject change as a funciton tion 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 eesee more and more. In this section we introduce the ideas of average and instantanoueous rate os ioof changes-, , and show that they are closely realtlated 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 appprroach so you will see how they lead naturally to the main idea of this chapter, the limit. The iudeadea of a limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o l l - -l -l o l
Milliseconds 375 128 104 90 111 152 154 158 79 178 83 82 54 96 50 86 136 117 81 227 106 117 175 145 69
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 44 93 28 43 41 116 60 51 169 128 32 102 102 99 114 112 91 262 114 107 67 81 35 65 47
Character h o w a c h a n g e i n o n e q u a n i
Milliseconds 82 77 55 34 102 68 116 80 56 79 174 82 37 113 108 41 115 75 36 65 164 84 112 68 144
Character t -t -i t i t y i s r e l a t e d t o a c
Milliseconds 3 361 93 300 88 61 81 64 154 72 73 93 42 116 83 50 43 127 33 98 15 64 73 81 82
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 74 122 22 66 64 39 95 112 58 124 78 113 71 68 278 72 64 69 134 78 87 28 116 68 74
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 123 43 75 57 73 48 92 136 92 124 143 68 72 72 40 56 87 154 55 100 112 87 132 20 47
Character o e b -b -e b j e c t c h a n g e a s a f u
Milliseconds 117 89 179 228 100 94 231 143 88 155 59 132 76 66 71 55 37 47 108 37 75 344 106 77 81
Character n c i t o n - -n -o -t -i t i o n o f t i m e ?
Milliseconds 119 55 173 23 59 104 29 210 123 128 132 259 247 82 142 69 39 101 27 61 84 50 116 57 172
Character H o w d o e s t h e l e v e l o f w a
Milliseconds 74 180 54 117 28 113 61 96 100 40 93 41 70 28 83 65 115 38 71 48 108 58 51 71 106
Character t e r i n a b a r r e l c h a n g e a s
Milliseconds 32 100 92 49 101 94 49 56 108 120 32 46 150 31 81 53 177 57 84 63 36 38 78 80 46
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 54 72 97 141 273 128 35 146 63 91 99 17 126 48 42 89 63 47 68 86 88 120 60 132 29
Character o f l i q u i d p o u r e d i n t o i t
Milliseconds 118 186 124 56 114 126 125 115 72 83 32 133 174 142 126 30 132 53 75 131 29 112 54 101 66
Character ? W e s e e c h a n g e o c c u r r i n g
Milliseconds 163 63 130 241 100 344 45 160 76 128 66 90 42 36 46 86 166 102 98 96 128 135 110 97 45
Character i n n e a r l y e v e r y t h i n g w e
Milliseconds 31 96 109 32 100 17 375 264 110 88 78 82 98 65 81 90 146 90 94 103 35 33 66 47 69
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 230 75 120 35 35 171 32 66 98 114 31 37 94 118 51 125 45 60 70 61 44 100 50 69 35
Character u n i v e r s e , a n d p o w e r f u l m o
Milliseconds 109 160 129 67 257 106 129 51 78 46 94 39 78 26 87 135 58 15 57 129 55 95 42 127 123
Character d e r n i n s t r u m e n t s h e l p u s
Milliseconds 84 123 54 30 50 278 136 62 38 116 72 133 62 58 60 82 68 120 64 52 132 77 107 28 70
Character e e -e -e s e e m o r e a n d m o r e . I n
Milliseconds 45 139 347 156 124 43 119 104 143 121 12 39 54 71 43 63 47 105 96 32 26 108 73 186 244
Character t h i s s e c t i o n w e i n t r o d u c
Milliseconds 52 66 62 81 53 48 130 76 133 157 58 93 69 48 152 37 68 97 93 91 159 84 107 172 89
Character e t h e i d e a s o f a v e r a g e a n
Milliseconds 35 45 201 79 49 61 75 83 140 85 29 68 75 63 42 157 100 134 101 86 84 31 55 103 69
Character d i n s t a n t a n o u -u -o e o u s r a t e
Milliseconds 37 71 106 96 70 49 188 84 148 194 112 126 52 310 100 80 117 47 114 68 223 76 76 48 171
Character o -o - s i o -o -i o f c h a n g e s -s - , - -,
Milliseconds 291 246 114 116 88 109 0 415 125 154 76 47 183 104 67 67 45 34 301 307 10 183 93 192 124
Character -- , a n d s h o w t h a t t h e y a r e
Milliseconds 128 203 63 79 77 78 49 102 60 65 77 18 53 159 81 61 0 132 24 85 34 65 87 24 43
Character c l o s e l y r e a l t -t -l -a l a t e d t o
Milliseconds 58 125 43 112 45 21 107 102 64 23 38 68 115 118 180 114 123 156 45 18 59 108 60 90 66
Character t h e s l o p e o f a c u r v e a t
Milliseconds 74 84 216 96 116 50 96 129 125 68 55 81 60 59 68 82 39 185 62 180 53 61 106 80 30
Character a p o i n t P o n t h e c u r v e . W
Milliseconds 436 62 207 157 37 98 45 69 134 134 144 107 28 23 98 82 143 128 119 66 155 37 74 65 132
Character e g i v e p r e c i s e d e v e l o p m e n
Milliseconds 168 83 79 92 67 32 65 104 212 166 155 101 95 77 88 148 183 87 35 87 137 100 225 126 50
Character t s o f t h e s e i m p o r t a n t c o n
Milliseconds 70 91 85 108 40 78 96 65 58 156 39 45 64 161 184 122 0 175 70 45 69 59 120 107 132
Character c e p t s i n t h e n e x t c h a p t e r
Milliseconds 113 40 93 97 124 108 94 102 34 38 96 53 51 78 45 130 77 104 135 53 79 110 114 96 86
Character , b u t f o r n o w w e u s e a n i
Milliseconds 30 52 74 66 74 36 111 111 44 49 85 106 44 52 72 54 71 89 88 23 28 215 64 54 91
Character n f o r m a l a p p p r -r -p r o a c h s o y
Milliseconds 112 30 122 78 80 84 65 62 82 94 97 165 99 275 109 76 105 87 67 83 48 49 77 48 151
Character o u w i l l s e e h o w t h e y l e a d
Milliseconds 75 50 49 59 67 139 96 54 23 42 95 56 110 69 52 44 59 71 50 76 80 75 54 76 51
Character n a t u r a l l y t o t h e m a i n i d
Milliseconds 53 97 80 78 92 69 35 72 111 102 75 67 79 64 66 76 58 48 114 57 93 101 38 108 47
Character e a o f t h i s c h a p t e r , t h e l
Milliseconds 128 59 44 91 228 54 145 122 119 29 66 107 59 75 65 116 84 82 39 35 97 44 64 35 72
Character i m i t . T h e i u d e a -a -e -d -u d e a o f
Milliseconds 54 168 136 78 113 72 73 56 69 90 96 13 36 129 72 329 104 127 121 85 128 68 74 96 95
Character a l i m i t p l a y s a f o u n d a t i
Milliseconds 48 113 61 106 23 187 128 66 50 102 132 66 96 62 62 92 69 105 75 22 366 155 135 69 99
Character o n a l r o l e t h r o u g h o u t c a l c
Milliseconds 127 85 71 60 53 57 73 122 29 59 61 66 96 54 21 161 15 306 21 91 72 551 115 67 103
Character u l u s .
Milliseconds 100 144 54 77 105
WPM Timing
Seconds WPM
1.74 82.74
3.48 82.74
5.22 94.24
6.96 110.32
8.7 100.67
10.44 111.47
12.18 114.26
13.92 117.22
15.66 112.62
17.4 112.39
19.14 107.19
20.88 110.32
22.62 114.04
24.36 115.25
26.1 117.22
27.85 117.22
29.59 116
31.33 117.6
33.07 116.49
34.81 118.25
36.55 119.19
38.29 119.73
40.03 120.22
41.77 120.38
43.51 120.25
45.25 120.67
46.99 121.82
48.73 119.93
50.47 117.46
52.21 115.61
53.95 114.55
55.69 115.93
57.43 115.34
59.17 115.8
60.91 115.64
62.65 115.69
64.39 115.36
66.13 115.77
67.87 116.51
69.61 117.39
71.35 118.4
73.09 117.71
74.83 119.14
76.57 120.04
78.31 120.44
80.06 120.37
81.8 119.57
83.54 119.66
85.28 120.17
87.02 119.15