tinypixels (tinypixels)

Race #445

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Official speed 79.24 wpm (130.84 seconds elapsed during race)
Without ending ping 79.37 wpm (213 ms delay sending score to TypeRacer’s server)
Timerless 79.63 wpm (433 ms elapsed before first character typed; 130.20 seconds elapsed during race)
Timerless minus one 79.54 wpm, ignoring the first character typed
Race Start February 16, 2024 6:08:50pm UTC
Race Finish February 16, 2024 6:11:01pm UTC
Outcome No win (4 of 5)
Opponents 3. jomnoi (82.30 wpm)
Accuracy 96.7%
Points 213.96
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 isa atoo tool that helps us understand how a change in one quanittity is related to caa change in another. How does the pseespeed of a falling object change as a function of time? How does the level o f water in a barrel change as a function of the amount of liquid poured into it? We see change occuringrring in nearly everything we obserrve in the wroldworld and universe, and powerful morddern indstruments to helps i us see more and more. In hithi ses section we introduce the dieaideas of average and instantaneous rates of change, and show that they are closely related to the tslope of a curve atat a point P on the curve. We give precise developpmments of these eimporattant concepts in the next chapter, buitt for now we use an informal approaacch so woyyou will se ee how they lead naturally to the main idea of this chapter, the limit. theThe idea of a limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a - -a a t o o -o -o -t t
Milliseconds 433 209 104 157 87 228 189 166 97 139 111 184 88 347 138 59 116 97 112 163 260 149 157 113 96
Character o o l t h a t h e l p s u s u n d e r s t
Milliseconds 114 165 173 80 69 97 96 78 78 253 131 138 218 129 98 94 121 149 105 181 78 173 96 121 104
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 79 121 96 114 127 401 78 79 121 114 173 113 87 129 70 63 86 62 85 88 87 88 34 96 321
Character u a n i t -t -i t i t y i s r e l a t e d t o
Milliseconds 106 139 105 130 78 399 154 106 104 173 131 460 155 88 85 186 57 150 88 76 87 174 192 122 78
Character c a -a -c a c h a n g e i n a n o t h e r .
Milliseconds 114 138 174 165 139 78 165 113 148 78 148 96 104 121 0 87 114 105 33 89 114 114 86 111 106
Character H o w d o e s t h e p s e e -p -s -e -e s p e
Milliseconds 105 184 120 79 103 112 132 113 120 98 95 95 80 86 114 24 132 149 355 0 0 0 424 104 113
Character e d o f a f a l l i n g o b j e c t c h
Milliseconds 192 164 96 113 43 131 52 183 191 251 133 153 174 78 61 112 71 113 78 97 103 191 71 129 53
Character a n g e a s a f u n c t i o n o f t i m
Milliseconds 121 96 86 253 131 140 138 96 96 113 174 87 199 53 175 23 105 97 78 122 52 121 97 61 105
Character e ? H o w d o e s t h e l e v e l o -
Milliseconds 93 851 175 649 201 122 103 287 139 88 131 155 61 138 27 122 78 62 130 78 89 78 120 176 459
Character f w a t e r i n a b a r r e l c h a n g
Milliseconds 60 234 147 155 88 114 86 104 97 94 95 96 105 156 103 114 208 130 156 148 270 127 98 104 44
Character e a s a f u n c t i o n o f t h e a m
Milliseconds 122 112 104 147 149 78 132 77 96 208 182 176 76 139 70 96 183 95 95 79 44 114 87 78 77
Character o u n t o f l i q u i d p o u r e d i n t
Milliseconds 108 172 200 78 103 89 79 93 104 194 163 113 156 129 132 181 278 286 149 250 175 156 210 118 98
Character o i t ? W e s e e c h a n g e o c c u r
Milliseconds 113 123 132 60 287 190 400 339 129 226 112 175 88 164 132 85 119 72 105 61 69 106 164 79 120
Character i n g -g -n r -r -i r i n g i n n e a r l y e v
Milliseconds 122 70 112 304 165 173 199 165 157 147 96 112 139 217 89 95 243 105 104 78 123 147 131 147 139
Character e r y t h i n g w e o b s e r r -r v e i n
Milliseconds 78 104 89 165 163 96 113 86 124 287 148 114 137 166 234 122 243 69 363 106 104 287 157 85 80
Character t h e w r o l d -d -w -r -o -l w o r l d a n d u
Milliseconds 70 97 58 80 104 52 54 182 43 486 279 0 0 0 310 90 97 129 104 140 111 106 104 122 165
Character n i v e r s e , a n d p o w e r f u l m o r
Milliseconds 189 132 87 139 141 112 95 97 148 85 80 138 114 139 138 217 106 130 225 87 174 90 121 122 69
Character d -d -r d e r n i n d -d s t r u m e n t s t o
Milliseconds 191 208 157 70 163 79 88 156 184 103 156 260 114 114 191 192 278 129 105 80 112 77 139 79 130
Character - -o -t h e l p s i -i - -s u s s e e m o r e
Milliseconds 408 165 149 224 140 103 156 123 105 217 225 156 148 131 139 165 138 182 137 186 112 105 125 85 96
Character a n d m o r e . I n h i -i -h t h i s e -e
Milliseconds 95 184 42 106 95 87 85 71 46 129 113 165 235 192 191 181 260 148 330 103 52 108 59 157 268
Character -s - s s e c t i o n w e i n t r o d u c e
Milliseconds 174 149 93 113 209 155 165 191 54 111 79 44 141 67 86 80 59 600 174 86 175 148 105 102 114
Character t h e d i e a -a -d -i -e i d e a s o f a v e r
Milliseconds 68 70 96 70 121 17 158 131 174 173 0 0 522 111 158 87 149 120 78 126 309 227 650 138 183
Character a g e a n d i n s t a n t a n e o u s r a t
Milliseconds 235 122 95 106 147 120 157 140 155 79 95 106 113 105 102 418 398 296 224 131 130 115 189 88 130
Character e s o f c h a n g e , a n d s h o w t h
Milliseconds 88 192 103 147 104 113 88 105 87 112 53 114 251 182 234 105 95 122 96 53 96 87 60 88 95
Character a t t h e y a r e c l o s e l y r e l a t
Milliseconds 87 61 104 97 87 122 77 96 174 61 105 59 105 96 149 51 26 123 157 103 123 68 124 113 68
Character e d t o t h e t -t s l o p e o f a c u
Milliseconds 71 199 98 77 62 129 63 68 105 114 111 453 218 129 209 140 96 103 104 78 113 226 97 128 97
Character r v e a -a t -t a t a p o i n t P o n t
Milliseconds 156 208 95 97 156 277 234 302 80 35 122 114 112 217 173 192 42 113 115 154 148 104 88 103 70
Character h e c u r v e . W e g i v e p r e c i s e
Milliseconds 87 98 68 123 43 139 157 70 69 79 279 207 122 113 103 96 43 123 130 120 106 276 122 166 86
Character d e v e l o p p m -m -p m e n t s o f t h e s
Milliseconds 113 114 165 138 61 45 210 0 146 243 192 149 171 104 105 61 86 80 77 90 85 79 25 129 106
Character e e -e i m p o r a t -t -a t a n t c o n c e p t
Milliseconds 114 131 105 234 381 105 147 175 88 190 36 224 157 130 113 112 115 113 103 25 107 109 75 95 71
Character s i n t h e n e x t c h a p t e r , b u
Milliseconds 86 96 124 120 15 273 130 114 215 149 68 210 95 61 147 24 159 60 96 105 77 165 156 416 96
Character i t -t -i t f o r n o w w e u s e a n i
Milliseconds 0 200 200 156 106 128 87 61 115 286 173 88 123 68 139 86 114 216 105 60 96 114 139 14 222
Character n f o r m a l a p p r o a a c -c -a c h s o w
Milliseconds 76 97 250 26 400 138 97 77 141 215 175 78 120 158 106 146 269 123 95 102 123 277 97 80 87
Character -w o y -y -o y o u w i l l s e e -e - e h o w
Milliseconds 477 251 129 296 147 476 107 120 51 87 71 139 164 44 87 97 105 60 372 149 147 105 122 104 86
Character t h e y l e a d n a t u r a l l y t o t
Milliseconds 97 42 62 128 79 123 79 85 105 96 104 53 104 78 79 129 88 78 141 140 103 86 69 122 122
Character h e m a i n i d e a o f t h i s c h a p
Milliseconds 140 112 104 44 211 61 76 116 137 88 174 104 78 147 122 87 96 0 131 68 113 61 98 120 86
Character t e r , t h e l i m i t . t h e -e -h -t T h e
Milliseconds 96 88 87 72 111 87 105 95 87 174 131 163 97 113 141 337 122 70 140 235 157 138 182 80 129
Character i d e a o f a l i m i t p l a y s a
Milliseconds 104 97 61 190 123 120 114 112 96 372 130 373 148 103 114 70 47 110 141 122 77 260 105 200 114
Character f o u n d a t i o n a l r o l e t h r o u g h
Milliseconds 189 139 347 225 114 112 96 52 95 114 113 105 113 112 96 175 79 85 61 72 127 63 97 129 114
Character o u t c a l c u l u s .
Milliseconds 119 97 52 115 120 104 35 269 164 263 215 105 121
WPM Timing
Seconds WPM
2.62 50.44
5.23 57.32
7.85 68.78
10.47 77.96
13.08 74.29
15.7 75.66
18.32 79.27
20.93 77.38
23.55 80.5
26.17 80.71
28.79 80.04
31.4 80.25
34.02 81.48
36.64 83.2
39.25 82.24
41.87 81.4
44.49 80.11
47.1 80.76
49.72 79.89
52.34 78.19
54.95 79.48
57.57 79
60.19 78.35
62.8 76.05
65.42 77.22
68.04 75.13
70.66 75.41
73.27 75.01
75.89 74.48
78.51 74.29
81.12 74.85
83.74 76.52
86.36 76.84
88.97 76.61
91.59 77.3
94.21 77.7
96.82 77.96
99.44 77.35
102.06 78.07
104.67 77.96
107.29 78.29
109.91 77.96
112.52 77.1
115.14 77.43
117.76 78.16
120.38 79.05
122.99 78.64
125.61 78.72
128.23 78.99
130.84 79.24