Woogy (woogy187)

Race #2078

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Official speed 104.91 wpm (98.83 seconds elapsed during race)
Without ending ping 105.23 wpm (303 ms delay sending score to TypeRacer’s server)
Timerless 105.68 wpm (422 ms elapsed before first character typed; 98.10 seconds elapsed during race)
Timerless minus one 105.56 wpm, ignoring the first character typed
Race Start February 2, 2024 8:55:27pm UTC
Race Finish February 2, 2024 8:57:06pm UTC
Outcome Win (1 of 2)
Opponents 2. ivyez (98.01 wpm)
Accuracy 97.8%
Points 283.25
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 too l that helps us understand how a change in one quantity is relatd ted to c a change in another. Hwoow does the speed of a failling object change as a function of time? How does the level of water in a fbarrel change as a function of the amount of liquid poured into it? We see change orccuring iring in nearly everything we obserrve in the world and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average an dd instanteaenenneous rates of change, and show that they are closely related to the sloepe of a curve at a point P on the scurve. We give precise devlelopemments of these important concepts in the enxtnext chapter, but for now we use an informal approach so you wulill see ho w they lead naturally to the main idea of this chaptter, the limit. The idea of a limit plays a foundational role throgughout calculus.
Timing
Character C a l c u l u s i s a t o o - l t h a t
Milliseconds 422 135 96 136 105 126 106 112 39 80 86 83 144 68 100 74 92 232 376 133 120 131 89 49 43
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 47 100 89 58 124 112 86 149 117 44 185 50 49 114 49 116 52 91 61 105 68 101 35 120 101
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 101 85 86 154 102 82 83 65 34 63 48 95 89 238 79 107 90 69 78 82 81 57 88 77 72
Character i s r e l a t d t -t - -d e d t o c - -c a
Milliseconds 106 134 209 136 35 91 85 76 204 111 69 233 114 105 42 122 74 71 88 52 67 137 242 113 56
Character c h a n g e i n a n o t h e r . H w o -o -w
Milliseconds 81 98 85 72 61 55 38 38 95 52 72 185 81 52 94 105 97 32 97 38 132 129 64 259 102
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 123 69 74 74 82 38 35 58 82 70 71 71 81 0 150 114 138 30 140 60 81 366 91 83 81
Character i -i l l i n g o b j e c t c h a n g e a s
Milliseconds 115 653 146 103 136 60 108 42 81 64 144 44 54 131 56 149 100 64 90 40 37 84 81 95 96
Character a f u n c t i o n o f t i m e ? H o w d
Milliseconds 61 115 167 87 64 375 159 47 23 37 101 75 134 49 261 96 110 70 143 97 153 116 68 81 91
Character o e s t h e l e v e l o f w a t e r i n
Milliseconds 114 17 302 146 65 101 70 68 82 47 106 46 169 199 151 120 82 89 59 82 115 47 21 116 55
Character a f -f b a r r e l c h a n g e a s a f
Milliseconds 85 63 134 156 290 114 34 101 103 113 119 84 75 77 72 72 57 43 100 91 40 204 114 104 70
Character u n c t i o n o f t h e a m o u n t o f
Milliseconds 96 46 55 125 42 18 38 68 80 45 109 100 91 122 108 88 81 97 35 25 78 99 80 97 55
Character l i q u i d p o u r e d i n t o i t ? W e
Milliseconds 51 62 117 91 50 85 71 477 215 47 42 77 76 73 72 62 81 68 97 116 28 276 168 89 141
Character s e e c h a n g e o r -r c c u r i n g i -i
Milliseconds 102 73 124 111 112 142 79 77 64 56 32 55 78 96 212 85 137 111 88 76 46 60 84 128 310
Character - -g -n -i r i n g i n n e a r l y e v e r y t
Milliseconds 124 120 151 116 82 68 68 66 99 56 59 51 273 76 60 0 68 111 49 129 88 82 61 100 103
Character h i n g w e o b s e r r -r v e i n t h e
Milliseconds 54 272 71 78 190 96 28 115 227 265 138 23 83 327 425 32 38 97 45 50 78 109 61 64 68
Character w o r l d a n d u n i v e r s e , a n d p
Milliseconds 82 55 63 85 90 66 157 117 89 64 82 55 128 45 121 55 82 51 294 68 114 122 104 105 95
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 201 27 11 32 124 46 118 123 134 101 140 108 24 92 33 61 72 71 75 121 32 107 50 85 80
Character s h e l p u s s e e m o r e a n d m o
Milliseconds 51 60 72 134 78 144 190 68 117 250 156 157 108 116 141 66 66 27 101 47 191 85 76 80 58
Character r e . I n t h i s s e c t i o n w e i n
Milliseconds 79 40 84 43 137 120 52 104 63 47 58 85 140 88 156 169 61 35 42 75 102 48 123 201 60
Character t r o d u c e t h e i d e a s o f a v e r
Milliseconds 90 136 71 85 114 74 39 106 146 69 268 90 234 74 103 64 143 93 106 113 76 353 124 116 53
Character a g e a n d -d - d i n s t a n t e -e a e n -n
Milliseconds 133 24 189 182 104 103 146 58 303 81 42 104 83 66 312 113 127 112 72 137 284 38 189 64 240
Character -e e n -n -e n e o u s r a t e s o f c h a n g
Milliseconds 80 140 174 206 116 108 71 165 55 92 90 154 105 78 48 106 58 141 112 106 100 125 47 103 51
Character e , a n d s h o w t h a t t h e y a r e
Milliseconds 30 86 57 22 117 38 110 78 70 56 32 104 46 94 32 42 70 68 83 78 95 43 88 58 68
Character c l o s e l y r e l a t e d t o t h e s
Milliseconds 0 192 47 95 63 34 67 118 65 141 30 82 93 91 16 155 104 53 84 68 41 95 65 162 141
Character l o e -e p e o f a c u r v e a t a p o
Milliseconds 104 150 567 281 121 144 75 87 107 73 89 93 178 160 112 176 53 74 152 66 76 119 80 58 57
Character i n t P o n t h e s -s c u r v e . W e
Milliseconds 41 171 78 93 172 194 193 55 54 76 89 65 120 85 378 46 93 59 132 54 46 46 223 162 86
Character g i v e p r e c i s e d e v l -l e l o p e m -m
Milliseconds 106 63 107 32 60 163 72 45 135 96 166 57 94 105 98 135 79 457 111 203 153 111 199 58 330
Character -e m e n t s o f t h e s e i m p o r t a n t
Milliseconds 89 155 62 89 72 64 30 71 110 59 92 73 78 119 398 111 107 123 70 173 78 124 67 64 91
Character c o n c e p t s i n t h e e n x t -e -n -x -t
Milliseconds 70 148 60 72 141 51 107 104 109 177 207 67 105 76 103 82 100 84 14 140 96 402 0 0 0
Character n e x t c h a p t e r , b u t f o r n o w
Milliseconds 130 33 152 145 148 85 85 60 71 147 168 54 77 35 83 75 71 44 142 45 119 47 306 146 129
Character w e u s e a n i n f o r m a l a p p r o
Milliseconds 106 132 39 86 133 51 50 66 133 97 54 107 50 43 103 24 105 61 73 105 385 205 176 145 56
Character a c h s o y o u w u l -l -u i l l s e e h
Milliseconds 96 83 74 60 106 29 72 100 0 59 67 248 129 142 244 108 143 122 108 57 90 145 122 45 106
Character o - w t h e y l e a d n a t u r a l l y
Milliseconds 32 183 451 33 83 73 51 81 71 66 61 84 55 114 48 124 69 69 113 31 106 110 91 103 67
Character t o t h e m a i n i d e a o f t h i s
Milliseconds 268 97 69 84 58 93 50 92 116 0 73 87 94 95 120 32 91 61 115 57 122 94 26 54 97
Character c h a p t -t t e r , t h e l i m i t . T h e
Milliseconds 105 88 81 60 174 319 530 115 53 38 64 118 70 250 64 145 32 141 75 72 313 45 146 94 71
Character i d e a o f a l i m i t p l a y s a
Milliseconds 62 219 69 116 27 164 89 84 162 43 725 99 69 135 93 92 85 61 155 69 121 169 54 113 85
Character f o u n d a t i o n a l r o l e t h r o g -g u
Milliseconds 123 48 39 57 350 139 87 81 19 42 108 404 70 127 73 113 152 84 126 114 106 42 700 378 132
Character g h o u t c a l c u l u s .
Milliseconds 80 76 57 22 87 118 211 125 113 126 58 150 547 77 124
WPM Timing
Seconds WPM
1.98 97.14
3.95 94.1
5.93 107.26
7.91 113.83
9.88 105.64
11.86 107.26
13.84 108.41
15.81 102.45
17.79 106.58
19.77 106.25
21.74 107.63
23.72 106.75
25.7 108.81
27.67 112.75
29.65 112.11
31.62 111.56
33.6 108.92
35.58 109.28
37.55 107.68
39.53 108.98
41.51 109.86
43.48 110.66
45.46 111.39
47.44 112.32
49.41 111.95
51.39 110.22
53.37 108.38
55.34 107.11
57.32 109.07
59.3 110.7
61.27 109.09
63.25 109.47
65.23 108.73
67.2 109.28
69.18 107.2
71.16 107.26
73.13 107.48
75.11 106.72
77.09 106.95
79.06 107.16
81.04 106.76
83.02 106.53
84.99 107.3
86.97 107.9
88.94 107.26
90.92 107.04
92.9 106.7
94.87 106.63
96.85 105.69
98.83 104.91