FiB0 (fiboss)

Race #1256

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Official speed 95.42 wpm (108.66 seconds elapsed during race)
Without ending ping 95.73 wpm (347 ms delay sending score to TypeRacer’s server)
Timerless 96.03 wpm (339 ms elapsed before first character typed; 107.97 seconds elapsed during race)
Timerless minus one 95.92 wpm, ignoring the first character typed
Race Start September 23, 2023 8:22:28am UTC
Race Finish September 23, 2023 8:24:17am UTC
Outcome Win (1 of 5)
Opponents 2. doquannnn (92.43 wpm)
3. flashahyea (79.08 wpm)
Accuracy 97.1%
Points 257.64
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 at tool that helps us understand how a changee in one quanititity is relatyeded to a change in another. How does the speed of a falling obvjejecty hcchange as a function of time? How does the level of water in a barrel change as a function of the amounft of liquid [poured into it? We see change occurinring in nearly everythin g we observe in the world and universe, and powerful modern insturruments help us see more and more. In this section we introduce the ideas of eaverage iand instanteaaneoouus rated s of change, and show that they are closely related to the slope of a curve at apoi point P on the curve. We give precise developments otf these important concepts in the next chaptye,er. biut. biul, vbubut for now we use an informal pprapproach so you will see how they lead natuarrally to the main idea of this chapter, the limit. THe ihe idea of a limit plays a foundational role thorugroughout calculus.
Timing
Character C a l c u l u s i s a t -t t o o l t h a t
Milliseconds 339 102 160 121 168 200 184 131 106 90 84 74 80 178 275 149 96 64 152 156 92 100 84 20 64
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 75 113 85 92 56 84 99 145 75 65 228 113 62 141 144 80 104 128 96 80 76 116 80 39 116
Character a c h a n g e e -e i n o n e q u a n i t i
Milliseconds 82 111 164 76 76 104 92 168 111 300 133 99 65 43 100 76 68 73 136 332 136 87 84 113 139
Character -i -t -i t i t y i s r e l a t y e d -d -e -y e d
Milliseconds 234 146 141 132 83 106 161 127 63 105 49 143 59 157 120 99 0 72 156 160 165 160 95 33 108
Character t o a c h a n g e i n a n o t h e r . H
Milliseconds 111 89 57 67 107 101 111 73 100 68 70 70 65 64 64 75 84 73 116 91 46 74 133 104 172
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 100 53 99 116 59 61 153 83 112 103 73 84 106 63 100 127 113 100 87 77 68 67 97 84 119
Character l l i n g o b v j e -e -j -v j e c t y - -y h c
Milliseconds 85 132 180 59 73 68 99 255 0 290 97 144 139 166 212 63 84 172 12 96 256 155 241 317 0
Character -c -h c h a n g e a s a f u n c t i o n o f
Milliseconds 271 142 122 80 75 84 74 51 73 99 28 91 81 91 80 117 72 172 172 28 84 80 88 85 72
Character t i m e ? H o w d o e s t h e l e v e l
Milliseconds 65 146 261 32 91 141 131 191 98 71 72 112 77 54 141 58 106 77 75 66 104 55 80 88 53
Character o f w a t e r i n a b a r r e l c h a
Milliseconds 92 123 64 53 75 88 84 88 88 84 91 66 53 74 93 108 104 80 113 126 104 108 173 91 70
Character n g e a s a f u n c t i o n o f t h e
Milliseconds 110 33 67 77 95 69 103 65 111 69 111 68 64 161 21 98 84 89 88 72 68 93 75 44 92
Character a m o u n f -f t o f l i q u i d [ -[ p o u r
Milliseconds 73 64 91 93 163 152 225 96 107 80 85 69 110 117 91 101 140 100 88 364 338 218 240 151 253
Character e d i n t o i t ? W e s e e c h a n g e
Milliseconds 296 136 85 188 66 84 82 76 111 65 140 123 129 175 116 69 80 108 91 148 69 71 109 42 65
Character o c c u r i n -n -i r i n g i n n e a r l y
Milliseconds 73 132 56 139 100 89 80 88 255 136 147 105 61 80 85 83 48 79 205 80 101 78 113 112 120
Character e v e r y t h i n - g w e o b s e r v e i
Milliseconds 88 133 102 96 142 184 35 85 84 104 403 214 82 89 67 125 183 21 376 164 61 171 73 300 136
Character n t h e w o r l d a n d u n i v e r s e ,
Milliseconds 75 78 91 88 64 75 65 76 121 102 89 135 128 93 84 64 132 63 145 46 118 69 112 50 119
Character a n d p o w e r f u l m o d e r n i n s t
Milliseconds 115 84 91 84 76 465 180 60 57 138 201 57 159 98 60 94 96 120 71 97 119 97 64 71 77
Character u r -r -u r u m e n t s h e l p u s s e e m
Milliseconds 132 92 248 136 115 118 100 147 77 75 73 98 97 93 55 46 150 137 100 53 102 112 125 76 59
Character o r e a n d m o r e . I n t h i s s e c
Milliseconds 40 46 62 89 92 163 0 82 43 59 36 69 128 96 143 189 89 108 67 71 46 95 124 151 133
Character t i o n w e i n t r o d u c e t h e i d e
Milliseconds 177 79 84 77 99 69 60 116 108 76 60 131 108 160 210 158 113 115 100 61 70 103 366 72 89
Character a s o f e -e a v e r a g e i -i a n d i n s
Milliseconds 111 84 105 85 85 70 116 255 110 84 79 106 132 75 124 107 141 246 106 111 54 110 161 80 73
Character t a n t e a -a -e a n e o o u -u -o u s r a t e d
Milliseconds 74 73 109 107 112 212 176 129 116 79 97 320 263 124 245 116 176 96 53 118 109 113 75 127 212
Character - -d s o f c h a n g e , a n d s h o w t
Milliseconds 220 129 117 80 87 81 76 120 80 99 93 87 72 108 93 65 143 251 200 285 40 101 60 99 89
Character h a t t h e y a r e c l o s e l y r e l a
Milliseconds 56 48 69 83 120 87 69 79 85 68 72 84 84 100 71 142 58 29 127 116 104 125 64 124 69
Character t e d t o t h e s l o p e o f a c u r
Milliseconds 89 86 116 97 112 78 74 88 68 49 195 116 108 167 88 100 96 54 103 96 67 105 108 132 53
Character v e a t a p o i -i -o -p p o i n t P o n
Milliseconds 318 132 101 101 94 125 11 209 143 180 214 149 146 111 90 174 188 89 83 104 113 111 112 82 97
Character t h e c u r v e . W e g i v e p r e c i s
Milliseconds 95 52 75 84 80 99 78 159 77 143 125 139 144 123 127 99 75 56 89 143 73 67 137 93 119
Character e d e v e l o p m e n t s o t -t f t h e s e
Milliseconds 91 221 256 132 117 102 47 205 68 132 80 129 31 109 87 84 193 259 96 68 94 79 34 236 47
Character i m p o r t a n t c o n c e p t s i n t h
Milliseconds 191 172 68 138 151 59 141 91 37 85 90 118 79 55 81 96 104 96 105 66 81 53 83 87 72
Character e n e x t c h a p t y e , -, -e -y e r . b i u
Milliseconds 61 88 92 67 126 175 99 137 108 80 105 95 0 76 193 211 144 130 107 44 84 91 114 92 0
Character t -t -u -i -b - -. . b i u -u -i -b - -. l -l , v b u -u
Milliseconds 87 155 145 151 149 139 241 191 145 112 81 0 191 137 156 147 425 192 340 164 163 169 0 52 252
Character -b -v b u t f o r n o w w e u s e a n i
Milliseconds 143 143 117 95 74 96 116 53 91 88 27 80 58 99 95 65 115 163 70 60 91 97 75 84 90
Character n f o r m a l p p r -r -p -p a p p r o a c h s o
Milliseconds 63 52 104 77 84 72 84 68 139 137 124 216 132 151 84 111 145 112 80 109 131 50 179 92 63
Character y o u w i l l s e e h o w t h e y l e
Milliseconds 94 115 75 73 71 93 20 165 138 33 68 64 116 113 120 119 60 67 96 77 53 75 80 120 53
Character a d n a t u a r -r -a r a l l y t o t h e m
Milliseconds 122 50 111 227 92 229 159 109 87 222 139 79 65 67 141 53 111 153 25 114 72 52 76 97 111
Character a i n i d e a o f t h i s c h a p t e r ,
Milliseconds 80 69 67 65 104 64 92 115 72 120 80 101 103 53 52 68 49 142 112 85 108 113 94 72 105
Character t h e l i m i t . T H e i -H -e - -i h e i
Milliseconds 92 124 68 101 52 79 152 96 75 92 164 89 184 58 111 94 93 637 0 0 0 111 81 119 88
Character d e a o f a l i m i t p l a y s a f o
Milliseconds 93 91 120 42 118 76 72 77 693 186 170 68 111 116 89 52 63 46 70 121 91 93 103 7 174
Character u n d a t i o n a l r o l e t h o r u g -g -u -r
Milliseconds 75 177 103 50 127 55 92 74 107 85 120 112 84 147 77 88 92 41 146 17 100 168 199 149 143
Character -o r o u g h o u t c a l c u l u s .
Milliseconds 141 119 84 73 79 113 143 102 76 103 147 101 11 246 111 529 191 96 72
WPM Timing
Seconds WPM
2.17 71.79
4.35 91.11
6.52 101.24
8.69 93.87
10.87 89.46
13.04 92.95
15.21 97.82
17.39 98.02
19.56 90.19
21.73 92.22
23.9 94.88
26.08 98.48
28.25 101.52
30.42 102.16
32.6 98.29
34.77 99.05
36.94 99.07
39.12 98.48
41.29 97.65
43.46 99.4
45.64 99.13
47.81 98.89
49.98 100.84
52.16 101.7
54.33 101.38
56.5 100.67
58.67 99.19
60.85 97.62
63.02 97.87
65.19 99.21
67.37 99.93
69.54 98.71
71.71 99.06
73.89 99.23
76.06 98.92
78.23 99.4
80.41 99.84
82.58 97.51
84.75 95.01
86.93 94.84
89.1 94.82
91.27 95.32
93.44 95.8
95.62 96.01
97.79 96.82
99.96 96.03
102.14 95.87
104.31 96.52
106.48 95.9
108.66 95.42