James Bond (james_bond777)

Race #602

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Official speed 90.99 wpm (113.95 seconds elapsed during race)
Without ending ping 91.24 wpm (314 ms delay sending score to TypeRacer’s server)
Timerless 91.65 wpm (507 ms elapsed before first character typed; 113.13 seconds elapsed during race)
Timerless minus one 91.54 wpm, ignoring the first character typed
Race Start November 11, 2023 8:21:18am UTC
Race Finish November 11, 2023 8:23:12am UTC
Outcome No win (2 of 5)
Opponents 1. wiliu (118.62 wpm)
Accuracy 96.5%
Points 245.66
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 Calcuclul sis is a tool that helps us understand how a change in one quantity is relate dto dd to a chnange in another. How ddoes oes the pespeed of a falling object change a ss a functino of on of time? hoHow does the level of water in a barrel change as a functino ofon of the amount of liquid poured into it? QWe We see change occurring in nearly everything we observe in the world and unviiverse, and powerful modern instruments help us see more and more. nIn this section we introduce the ideas of thtaverage and instantateneous rates of change, and show that they are closely related to the slopse eo f of a rucurve at a pontint P on the rucurve. We vgive precise developments of thse ese important concepts in the next chapter, but for mnow we wuuuse an informal approach so you will see how they lead naturally to the main idea of hit this chapter, the limit. The idea of a limit plays of a foundational role throughout calculus.
Timing
Character C a l c u c -c l u l s i -i -s - -l s i s a t
Milliseconds 507 118 166 146 131 256 347 168 67 42 44 80 46 320 104 120 142 124 73 114 102 103 260 101 151
Character o o l t h a t h e l p s u s u n d e r s t
Milliseconds 88 681 133 103 22 142 0 59 98 83 100 62 137 128 23 70 132 60 136 151 44 139 36 118 34
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 168 21 122 53 79 23 91 48 135 61 79 140 20 107 40 40 79 68 24 90 131 26 97 84 228
Character u a n t i t y i s r e l a t e d t o - -o -t
Milliseconds 85 103 89 137 44 103 80 55 95 79 116 107 49 69 391 107 73 99 0 112 56 46 310 118 136
Character -d d -d - d t o a c h n -n a n g e i n a n
Milliseconds 144 146 28 375 140 91 107 81 56 113 126 33 217 820 372 116 55 119 60 53 57 42 141 51 107
Character o t h e r . H o w d d o e s - -s -e -o -d o e s
Milliseconds 36 48 93 52 62 83 78 93 145 106 76 118 49 113 109 101 21 227 109 164 111 157 151 51 104
Character t h e p e -e -p s p e e d o f a f a l l i
Milliseconds 69 67 21 78 70 126 167 316 113 200 81 108 142 95 73 54 94 79 206 132 121 75 111 102 132
Character n g o b j e c t c h a n g e a s -s - s a
Milliseconds 22 97 72 67 113 202 20 47 155 70 123 139 0 114 81 22 76 110 95 0 459 150 126 128 78
Character f u n c t i n o o f - -f -o - -o -n o n o f
Milliseconds 113 56 132 120 78 190 91 80 0 47 112 130 109 215 95 156 136 155 328 191 41 133 100 213 113
Character t i m e ? h o -o -h H o w d o e s t h e l e
Milliseconds 114 94 0 109 273 144 315 220 272 122 214 150 473 144 157 24 568 124 100 114 65 74 87 185 79
Character v e l o f w a t e r i n a b a r r e l
Milliseconds 79 62 80 189 58 68 110 222 115 57 144 68 104 62 18 105 50 124 85 57 97 115 84 86 101
Character c h a n g e a s a f u n c t i n o o f -f -o
Milliseconds 94 196 204 91 113 14 65 155 77 87 164 113 70 155 110 58 182 59 84 19 79 103 66 254 125
Character - -o -n o n o f t h e a m o u n t o f l i
Milliseconds 125 127 133 194 28 98 224 97 91 71 22 79 53 126 97 72 75 119 143 92 58 114 61 202 63
Character q u i d p o u r e d i n t o i t ? Q W e
Milliseconds 130 117 20 136 105 111 148 37 54 123 81 66 69 50 87 98 75 172 53 278 35 107 37 81 176
Character - -e -W -Q W e s e e c h a n g e o c c u r r i
Milliseconds 174 114 124 126 168 225 129 63 163 142 99 198 126 108 37 77 14 117 143 210 481 120 105 132 140
Character n g i n n e a r l y e v e r y t h i n g w
Milliseconds 0 51 67 95 16 114 104 91 38 31 123 62 40 140 78 48 84 61 114 37 159 44 97 141 70
Character e o b s e r v e i n t h e w o r l d a n
Milliseconds 106 112 159 63 167 123 37 162 44 78 64 38 102 84 59 32 84 73 84 39 149 130 62 96 107
Character d u n v i -i -v i v e r s e , a n d p o w e r
Milliseconds 0 102 150 128 82 67 410 117 164 71 86 83 58 122 29 90 83 39 88 89 32 142 43 21 53
Character f u l m o d e r n i n s t r u m e n t s h e
Milliseconds 158 86 47 118 66 79 254 95 36 135 137 68 32 115 68 129 79 149 86 54 94 101 51 176 117
Character l p u s s e e m o r e a n d m o r e .
Milliseconds 44 153 316 72 151 60 121 191 141 0 112 47 69 38 60 116 53 30 102 86 41 72 30 97 62
Character n -n I n t h i s s e c t i o n w e i n t r
Milliseconds 289 322 246 128 105 94 52 21 89 110 117 334 173 164 101 199 28 158 108 66 141 164 31 92 147
Character o d u c e t h e i d e a s o f t h t -t -h -t
Milliseconds 139 93 85 107 57 58 73 45 38 94 84 103 110 71 114 75 72 142 91 114 38 38 294 116 132
Character a v e r a g e a n d i n s t a n t a t e -e -t n
Milliseconds 277 108 96 73 156 66 41 33 125 46 40 87 77 62 138 33 201 108 341 231 82 128 393 115 176
Character e o u s r a t e s o f c h a n g e , a n d
Milliseconds 72 170 10 134 76 206 97 72 37 147 81 57 98 101 141 90 66 97 50 34 108 61 54 68 15
Character s h o w t h a t t h e y a r e c l o s e
Milliseconds 127 108 55 31 115 126 43 84 51 54 61 92 109 86 41 81 98 39 28 97 180 104 143 60 84
Character l y r e l a t e d t o t h e s l o p s e
Milliseconds 60 53 63 94 35 112 116 48 44 118 67 67 77 65 53 67 46 91 105 110 118 123 88 71 134
Character - -e -s e o f - -f - -o o f a r u -u -r c u r
Milliseconds 243 119 125 93 115 0 115 116 293 127 123 156 121 77 59 100 157 37 174 149 318 119 121 109 39
Character v e a t a p o n t -t -n i n t P o n t h
Milliseconds 226 40 94 109 126 17 378 139 81 143 65 109 359 105 285 42 52 150 172 213 86 33 105 28 105
Character e r u -u -r c u r v e . W e v -v g i v e p r
Milliseconds 39 100 82 176 290 107 111 133 67 234 41 96 72 153 98 89 118 372 123 98 108 35 99 422 438
Character e c i s e d e v e l o p m e n t s o f t h s
Milliseconds 43 287 82 130 96 63 283 78 200 56 249 135 147 141 196 0 169 56 88 44 95 109 89 119 86
Character e - -e -s e s e i m p o r t a n t c o n c e p
Milliseconds 120 143 219 110 146 130 194 119 102 103 52 43 158 51 155 100 151 83 72 90 105 48 149 67 122
Character t s i n t h e n e x t c h a p t e r , b
Milliseconds 57 117 23 114 28 101 55 111 0 109 154 202 228 73 82 148 140 61 114 152 105 35 46 72 72
Character u t f o r m -m n o w w e w u -u u -u -w u s e
Milliseconds 49 44 134 56 108 29 94 51 356 225 16 125 92 66 79 161 178 376 47 213 174 192 207 78 103
Character a n i n f o r m a l a p p r o a c h s o
Milliseconds 89 204 65 83 103 27 105 95 143 27 297 48 139 113 114 80 106 124 160 44 94 55 236 55 104
Character y o u w i l l s e e h o w t h e y l e a
Milliseconds 44 35 92 23 102 65 142 115 94 124 163 140 76 60 28 139 47 165 49 120 33 50 148 18 99
Character d n a t u r a l l y t o t h e m a i n i
Milliseconds 63 88 91 83 62 133 32 164 42 116 39 116 40 125 89 123 48 47 96 112 114 84 33 96 151
Character d e a o f h i t - -t -i -h t h i s c h a p t
Milliseconds 112 130 41 106 53 89 102 78 37 49 147 285 118 133 125 140 107 26 44 224 98 26 180 0 147
Character e r , t h e l i m i t . T h e i d e a o
Milliseconds 79 57 7 82 336 172 122 119 239 136 649 43 175 191 21 133 171 61 96 114 72 108 66 53 80
Character f a l i m i t p l a y s o f - -f -o a f
Milliseconds 76 85 76 133 260 144 145 116 157 112 55 142 66 827 103 54 187 74 105 361 330 132 150 101 125
Character o u n d a t i o n a l r o l e t h r o u g h o
Milliseconds 91 22 124 57 132 136 96 140 0 255 118 129 60 88 123 151 133 129 101 107 24 27 117 52 181
Character u t c a l c u l u s .
Milliseconds 34 115 100 95 135 77 157 134 590 33 94 153
WPM Timing
Seconds WPM
2.28 36.86
4.56 42.12
6.84 73.72
9.12 90.83
11.39 86.36
13.67 79.86
15.95 84.25
18.23 79.64
20.51 81.91
22.79 82.67
25.07 78.98
27.35 77.67
29.63 75.34
31.91 78.98
34.18 81.09
36.46 79.64
38.74 82.39
41.02 81.62
43.3 81.48
45.58 84.78
47.86 87.01
50.14 87.6
52.42 89.52
54.69 90.61
56.97 90.36
59.25 91.34
61.53 90.88
63.81 90.64
66.09 91.33
68.37 93.38
70.65 94.27
72.93 92.48
75.2 91.75
77.48 91.06
79.76 90.57
82.04 89.95
84.32 89.52
86.6 90.07
88.88 90.87
91.16 90.57
93.44 90.16
95.72 91.02
97.99 92.09
100.27 92.51
102.55 92.21
104.83 91.92
107.11 91.98
109.39 90.72
111.67 91.24
113.95 90.99