Rozz (iamrozz)

Race #408

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Official speed 101.13 wpm (102.52 seconds elapsed during race)
Without ending ping 101.45 wpm (324 ms delay sending score to TypeRacer’s server)
Timerless 101.78 wpm (330 ms elapsed before first character typed; 101.87 seconds elapsed during race)
Timerless minus one 101.66 wpm, ignoring the first character typed
Race Start October 25, 2023 11:31:46am UTC
Race Finish October 25, 2023 11:33:29am UTC
Outcome Win (1 of 5)
Accuracy 96.8%
Points 273.05
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 realtedlated to a change in another. How does the speed of a falling object c hang=hange as funca function of time? How does the level of water in a barrel change as a function of the amount of liquid poured into it?W We see change occurring in nearly everything we ovsbserve in the world and universe, and powerful moderni n instruments help us hsee more and more. In this section we indttroduce the ideas of average and instaneoutaneous rates of changem a, and show that they are closely related to the slope ofa cu a curve tat a point P on the ucrvcurve. We give precuse ise fddevelopments of these important conepts cepts in the next chapter, but for now e we use an informal approach so you will see ho thew they lead naturally to hthe main iedea of this chapter, the limit. The idea of a limit plays a foundational role thorughruhgooughout caluculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 330 182 82 121 80 151 148 52 96 138 66 100 96 123 43 71 133 136 47 51 168 59 70 88 123
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 88 93 109 44 81 132 53 161 225 97 37 134 65 99 104 84 81 64 105 73 105 23 72 70 113
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 15 110 72 67 126 31 78 49 86 63 93 83 48 87 110 73 122 112 131 51 117 113 67 124 45
Character r e a l t e d -d -e -t -l -a l a t e d t o a c
Milliseconds 79 56 80 98 12 129 95 145 181 126 143 140 122 151 41 119 99 182 89 45 74 80 86 107 26
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 137 82 63 138 39 58 67 87 103 170 90 101 74 84 75 82 105 115 250 108 52 109 97 67 90
Character s t h e s p e e d o f a f a l l i n g
Milliseconds 118 106 56 85 49 79 58 86 96 136 126 94 90 57 66 42 99 141 243 123 129 146 75 49 62
Character o b j e c t c h a n g = -= -g -n -a -h - h a n g e
Milliseconds 110 132 95 51 90 170 69 115 6 100 41 101 123 230 9 112 136 135 130 130 288 53 97 142 15
Character a s f u n c -c -n -u -f a f u n c t i o n o f
Milliseconds 97 49 67 95 123 154 88 43 235 126 125 141 107 111 148 107 108 37 163 33 121 100 79 101 61
Character t i m e ? H o w d o e s t h e l e v e l
Milliseconds 112 49 45 109 56 263 183 156 139 80 135 79 61 88 122 123 31 84 51 112 293 82 172 113 109
Character o f w a t e r i n a b a r r e l c h a
Milliseconds 92 101 46 115 126 111 86 99 91 39 90 91 61 60 109 67 110 184 146 68 148 71 167 103 46
Character n g e a s a f u n c t i o n o f t h e
Milliseconds 85 138 53 125 60 100 93 69 110 64 125 90 35 182 27 122 91 57 95 40 104 32 85 47 89
Character a m o u n t o f l i q u i d p o u r e d i
Milliseconds 56 104 128 143 76 93 72 54 81 78 38 161 42 402 181 157 177 421 172 208 67 68 167 128 120
Character n t o i t ? W -W W e s e e c h a n g e o
Milliseconds 108 82 86 84 91 42 298 303 297 89 92 220 114 89 152 130 68 103 108 94 97 181 145 89 143
Character c c u r r i n g i n n e a r l y e v e r y t
Milliseconds 66 129 94 92 133 79 93 62 88 257 102 69 165 52 103 34 108 219 94 72 189 121 73 106 88
Character h i n g w e o v s -s -v b s e r v e i n t h
Milliseconds 64 124 88 24 90 71 34 122 103 81 230 210 114 203 35 109 58 74 81 206 94 88 57 33 95
Character e w o r l d a n d u n i v e r s e , a n d
Milliseconds 52 95 46 96 52 100 61 112 42 86 58 59 46 86 133 43 132 87 103 119 111 113 55 152 210
Character p o w e r f u l m o d e r n i n -n - -i i n
Milliseconds 117 113 113 56 59 86 158 107 147 79 146 141 48 130 59 51 166 112 0 287 129 324 112 88 99
Character s t r u m e n t s h e l p u s h -h s e e m
Milliseconds 32 126 126 45 144 52 89 64 122 66 121 72 84 138 79 126 41 107 140 265 58 121 137 77 62
Character o r e a n d m o r e . I n t h i s s e c
Milliseconds 126 40 55 92 31 106 54 88 37 119 37 33 149 114 134 97 71 59 75 107 27 118 62 84 130
Character t i o n w e i n d t -t -d t r o d u c e t h e
Milliseconds 176 19 146 82 62 75 113 127 121 88 31 155 165 120 86 115 65 93 101 44 117 92 46 80 49
Character i d e a s o f a v e r a g e a n d i n s
Milliseconds 72 40 88 125 101 95 135 94 28 97 63 133 135 85 107 119 51 66 86 132 52 126 79 91 47
Character t a n e o u -u -o -e t a n e o u s r a t e s o f
Milliseconds 114 121 48 158 138 139 226 123 128 53 107 59 126 85 112 41 92 51 91 131 74 166 87 88 39
Character c h a n g e m a -a - -m , a n d s h o w t
Milliseconds 90 109 90 87 61 143 71 195 105 50 169 122 125 155 82 43 117 51 85 89 75 125 33 98 43
Character h a t t h e y a r e c l o s e l y r e l a
Milliseconds 81 55 52 71 155 79 130 17 141 60 81 65 64 95 76 122 37 68 95 130 66 71 71 124 14
Character t e d t o t h e s l o p e o f a c u -u -c
Milliseconds 99 80 133 112 33 76 66 47 89 40 81 94 32 174 112 32 120 101 45 133 99 104 114 179 118
Character - -a a c u r v e t -t a t a p o i n t P
Milliseconds 128 137 131 59 141 202 137 77 104 55 92 119 241 62 86 92 76 124 150 134 173 95 45 55 146
Character o n t h e u c r v -v -r -c -u c u r v e . W e
Milliseconds 141 201 110 77 40 79 45 65 124 0 185 121 211 120 138 140 57 145 84 76 91 125 129 305 173
Character g i v e p r e c u s e - -e -s -u i s e f d -d
Milliseconds 107 119 118 38 112 83 47 52 58 130 109 71 88 123 384 142 141 117 154 12 122 72 234 288 136
Character -f d e v e l o p m e n t s o f t h e s e i m
Milliseconds 122 160 142 117 103 15 138 97 139 49 112 29 130 101 134 156 169 14 80 71 128 100 91 70 93
Character p o r t a n t c o n e p t s - -s -t -p -e c e p t
Milliseconds 127 107 47 162 68 67 73 76 140 47 81 136 84 80 107 53 178 119 147 128 124 50 55 83 89
Character s i n t h e n e x t c h a p t e r , b u
Milliseconds 98 73 68 76 67 37 84 72 61 64 83 123 158 84 88 89 42 102 55 116 79 64 121 107 258
Character t f o r n o w e - -e w e u s e a n i
Milliseconds 106 98 65 85 84 50 59 99 41 103 65 238 269 121 111 43 95 76 85 109 112 70 88 79 80
Character n f o r m a l a p p r o a c h s o y o u w
Milliseconds 83 48 84 100 50 83 75 70 75 70 111 110 85 44 81 133 78 186 43 142 244 127 75 73 26
Character i l l s e e h o t h e -e -h -t - w t h e y
Milliseconds 57 127 119 41 85 103 133 83 83 97 91 93 134 53 229 118 133 125 74 105 100 38 92 82 36
Character l e a d n a t u r a l l y t o h -h t h e m
Milliseconds 133 61 121 91 128 162 111 139 76 82 84 80 112 138 50 43 98 74 117 402 68 102 53 102 78
Character a i n i e -e d e a o f t h i s c h a p t e
Milliseconds 77 75 75 53 109 172 444 94 149 95 75 115 52 98 116 94 129 41 86 72 108 40 197 119 125
Character r , t h e l i m i t . T h e i d e a o f
Milliseconds 90 126 92 96 108 44 75 50 133 95 116 48 119 108 170 103 75 26 162 119 130 90 90 94 66
Character a l i m i t p l a y s a f o u n d a t i
Milliseconds 89 24 96 80 121 94 117 25 105 79 104 60 121 47 95 70 81 50 104 108 105 35 81 68 82
Character o n a l r o l e t h o r u g h -h -g -u -r -o r u h
Milliseconds 101 77 76 101 67 140 101 115 43 115 79 68 90 29 123 97 40 259 107 138 132 127 44 224 124
Character g o -o -g -h -u o u g h o u t c a l u -u c u l u s .
Milliseconds 47 130 211 124 137 135 146 132 75 69 137 110 62 66 259 279 121 201 411 61 124 154 161 91 105
WPM Timing
Seconds WPM
2.05 99.49
4.1 111.2
6.15 124.85
8.2 114.12
10.25 113.54
12.3 113.15
14.35 114.54
16.4 108.27
18.45 102.09
20.5 103
22.55 103.22
24.61 104.86
26.66 106.69
28.71 107.85
30.76 105.73
32.81 103.51
34.86 103.97
36.91 104.69
38.96 103.8
41.01 105.93
43.06 105.9
45.11 104.55
47.16 104.58
49.21 106.08
51.26 106.28
53.31 106.92
55.36 105.99
57.41 105.13
59.46 106.55
61.51 107.88
63.56 106.29
65.61 106.08
67.66 104.63
69.71 104.48
71.77 102.17
73.82 102.42
75.87 102.18
77.92 102.42
79.97 102.79
82.02 103.15
84.07 103.63
86.12 102.84
88.17 102.89
90.22 102.42
92.27 103
94.32 103.44
96.37 104.22
98.42 103.27
100.47 102.12
102.52 101.13