skyguy (nessq)

Race #265

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Official speed 110.29 wpm (94.01 seconds elapsed during race)
Without ending ping 110.85 wpm (478 ms delay sending score to TypeRacer’s server)
Timerless 110.93 wpm (63 ms elapsed before first character typed; 93.47 seconds elapsed during race)
Timerless minus one 110.80 wpm, ignoring the first character typed
Race Start April 11, 2024 4:26:20pm UTC
Race Finish April 11, 2024 4:27:54pm UTC
Outcome Win (1 of 3)
Accuracy 97.7%
Points 297.79
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 Claculalculus is a tool that helps us understonand 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 tine>me? How does the level of water in a barrel change as a function of the amount of liquid oppoured into it? We see change occuring in ccuring inring in nearly everything we observe in the world and unvierivse,rerse, and powerful modern instruments help us see more and more. In this section wei n ine introduce the ideas of average and instantaneous rate s of change, and show taahat they are closely related to the slow of ape a 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 mai n idea of this chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character C l a c u l -l -u -c -a -l a l c u l u s i s a t
Milliseconds 63 197 135 86 69 125 261 125 165 156 152 99 84 101 61 121 132 102 57 82 108 68 254 277 118
Character o o l t h a t h e l p s u s u n d e r s t
Milliseconds 66 130 134 129 712 33 113 64 65 169 53 198 0 62 70 48 119 61 159 195 50 117 68 119 74
Character o n -n -o a n d h o w a c h a n g e i n o
Milliseconds 46 47 362 133 70 80 53 45 117 50 67 35 132 99 164 44 114 49 94 89 63 35 64 107 44
Character n e q u a n t i t y i s r e l a t e d t o
Milliseconds 57 83 27 132 68 117 66 88 145 18 148 47 94 24 94 93 64 84 208 84 114 160 34 97 69
Character a c h a n g e i n a n o t h e r . H o w
Milliseconds 54 118 79 134 89 100 75 56 110 52 57 59 102 131 37 65 104 41 79 59 63 67 126 79 82
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 104 95 46 96 140 16 177 0 10 80 104 98 73 127 148 69 68 69 83 96 88 94 67 33 135
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 90 50 62 30 101 66 91 51 140 199 38 137 50 94 86 63 92 75 85 50 73 111 82 68 69
Character n c t i o n o f t i n e > -> -e -n m e ? H o w
Milliseconds 159 19 186 36 78 157 0 41 66 71 82 69 53 17 227 251 165 140 160 54 210 95 280 149 111
Character d o e s t h e l e v e l o f w a t e r
Milliseconds 111 99 57 117 133 23 78 40 77 67 85 34 288 126 70 83 120 43 74 164 17 81 156 55 38
Character i n a b a r r e l c h a n g e a s a f
Milliseconds 72 50 78 82 84 152 70 62 163 50 134 83 148 53 117 66 85 83 83 101 50 84 116 78 90
Character u n c t i o n o f t h e a m o u n t o f
Milliseconds 80 184 21 177 51 123 34 127 64 82 72 79 42 60 71 118 167 42 71 154 61 63 56 86 60
Character l i q u i d o p -p -o p o u r e d i n t o i t
Milliseconds 54 113 69 115 50 114 57 244 123 226 249 188 64 73 98 82 174 53 36 67 82 69 63 103 82
Character ? W e s e e c h a n g e o c c u r i n g
Milliseconds 188 87 134 177 49 104 144 68 52 119 95 71 152 33 114 56 66 74 151 67 122 81 68 49 50
Character i n -c -c -u -r -i -n -g - -i -n - c c u r i n g i n -n
Milliseconds 69 48 112 650 0 0 0 0 0 0 0 0 0 0 54 136 99 112 83 59 66 44 96 50 293
Character -i - -g -n -i r i n g i n n e a r l y e v e r y
Milliseconds 176 166 153 166 147 119 69 63 81 35 69 55 101 92 48 85 72 50 112 56 77 140 122 62 74
Character t h i n g w e o b s e r v e i n t h e w
Milliseconds 104 88 75 116 35 51 87 37 80 96 85 150 56 100 189 173 75 61 47 112 56 127 32 205 160
Character o r l d a n d u n v i e r -r -e -i -v i v s e , r
Milliseconds 7 137 74 84 43 89 51 68 57 62 132 53 12 152 51 236 169 159 338 148 50 114 66 101 24
Character -r -, -e -s e r s e , a n d p o w e r f u l m o
Milliseconds 207 176 166 148 61 70 138 58 75 82 78 65 55 60 203 0 0 14 85 135 33 139 94 133 71
Character d e r n i n s t r u m e n t s h e l p u s
Milliseconds 66 146 43 59 133 45 73 64 68 132 99 165 69 84 79 103 75 25 125 78 68 87 93 149 150
Character s e e m o r e a n d m o r e . I n t h i
Milliseconds 146 119 151 91 12 346 73 42 166 22 66 66 41 109 50 52 54 92 107 143 72 113 83 65 51
Character s s e c t i o n w e i n -n - -i -e i n -n -i -
Milliseconds 52 82 116 106 158 191 58 62 58 0 90 75 35 64 86 330 159 161 153 80 116 53 326 172 153
Character e i n t r o d u c e t h e i d e a s o f
Milliseconds 32 51 87 43 52 148 58 112 76 71 141 75 50 84 41 62 85 62 130 89 83 83 117 64 57
Character a v e r a g e a n d i n s t a n t a n e o u s
Milliseconds 159 90 141 67 125 47 104 60 104 45 73 54 59 56 44 115 108 345 146 230 663 465 75 66 33
Character r a t e - s o f c h a n g e , a n d s
Milliseconds 58 157 91 101 85 55 257 145 53 102 47 67 130 67 45 171 76 92 106 103 76 66 73 52 95
Character h o w t a -a a -a h a t t h e y a r e c l o
Milliseconds 52 74 41 79 81 191 493 103 341 174 68 66 86 77 53 81 76 53 131 63 66 30 155 110 225
Character s e l y r e l a t e d t o t h e s l o w
Milliseconds 61 19 97 101 94 139 83 149 65 86 99 149 53 95 28 100 49 143 0 33 122 77 150 21 72
Character o f a -a - -f -o - -w p e a - -a o f a c u r
Milliseconds 89 55 64 92 227 492 28 30 130 200 300 56 59 118 88 388 137 109 31 49 120 95 79 74 122
Character v e a t a p o i n t P o n t h e c u
Milliseconds 140 102 170 4 71 105 88 115 155 58 51 171 48 80 190 126 75 71 83 61 67 59 36 116 78
Character r v e . W e g i v e p r e c i s e d e v e
Milliseconds 107 139 115 90 58 137 141 97 87 99 85 116 68 48 73 67 150 75 85 67 83 229 36 132 160
Character l o p m e n t s o f t h e s e i m p o r t a
Milliseconds 75 158 13 226 77 81 48 122 61 66 78 93 74 122 364 319 68 112 81 130 37 74 36 141 89
Character n t c o n c e p t s i n t h e n e x t c
Milliseconds 39 108 33 149 54 35 85 125 42 90 116 50 120 9 74 67 66 85 64 69 86 132 181 51 132
Character h a p t e r , b u t f o r n o w w e u s
Milliseconds 64 112 91 54 112 63 70 85 85 62 135 31 144 55 94 48 67 64 36 81 104 51 95 178 120
Character e a n i n f o r m a l a p p r o a c h s o
Milliseconds 102 95 100 70 95 76 59 106 118 182 31 63 105 59 137 32 139 92 95 110 69 16 196 40 80
Character y o u w i l l s e e h o w t h e y l e
Milliseconds 140 60 106 80 61 38 79 92 122 72 66 64 173 66 59 58 48 71 64 66 62 99 65 118 49
Character a d n a t u r a l l y t o t h e m a i -
Milliseconds 89 86 52 91 58 76 86 69 98 188 25 43 58 145 70 88 65 60 55 59 115 58 115 111 338
Character n i d e a o f t h i s c h a p t e r , t
Milliseconds 188 97 81 45 147 96 67 64 81 74 80 46 67 59 76 168 53 113 71 49 120 64 55 80 85
Character h e l i m i t . T h e i d e a o f a l
Milliseconds 42 97 57 30 105 263 16 125 105 73 130 105 61 67 148 61 156 84 55 87 83 75 73 96 129
Character i m i t p l a y s a f o u n d a t i o n a l
Milliseconds 82 106 98 115 43 49 60 88 109 69 67 115 88 47 101 50 153 16 125 70 36 70 61 86 55
Character r o l e t h r o u g h o u t c a l c u l u s
Milliseconds 85 187 27 165 32 83 66 47 118 30 52 92 84 126 62 36 68 125 94 65 99 97 139 76 153
Character .
Milliseconds 67
WPM Timing
Seconds WPM
1.88 31.91
3.76 60.63
5.64 72.34
7.52 78.19
9.4 91.91
11.28 98.93
13.16 106.68
15.04 111.69
16.92 114.18
18.8 111.06
20.68 111.4
22.56 112.76
24.44 113.9
26.32 116.25
28.2 113.18
30.08 114.09
31.96 110
33.84 105.31
35.72 106.49
37.6 107.86
39.48 107.29
41.36 103.28
43.24 105.45
45.12 106.38
47 107.23
48.88 107.28
50.76 104.48
52.64 105.54
54.52 105.86
56.4 104.67
58.28 105
60.16 103.52
62.04 104.44
63.92 104
65.8 101.57
67.68 102.12
69.56 102.81
71.45 103.3
73.33 103.1
75.21 104.35
77.09 105.08
78.97 105.92
80.85 106.42
82.73 107.63
84.61 108.22
86.49 108.36
88.37 108.91
90.25 109.57
92.13 110.46
94.01 110.29