tom (iannt)

Race #3

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Official speed 74.61 wpm (138.96 seconds elapsed during race)
Without ending ping 74.74 wpm (240 ms delay sending score to TypeRacer’s server)
Timerless 74.94 wpm (369 ms elapsed before first character typed; 138.35 seconds elapsed during race)
Timerless minus one 74.85 wpm, ignoring the first character typed
Race Start September 2, 2024 6:18:17am UTC
Race Finish September 2, 2024 6:20:36am UTC
Outcome Win (1 of 5)
Accuracy 96.2%
Points 201.46
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 refllated to a change in another. Howd does the speed of fa falling object cxhahange as a function of time? hHow does the eleleve ll of wateir in a barrel change as a function of the amouint of li2ququid poured into it? We see change occuringring in nearly everythiunng aswe observe in the world and univers,ee, and powerful moderinn instumruments help us see more and more., TIn this esection we introduce the ideas of average and instantenaneous rates of change, and show that wthye eey are closely related to the slope of a curve at a point P on the curve. We give precise developemnmements of these important concepts int th the necxxxt chapter , but for now wwe use an informal approcach so you will seeh how they lead natuyrarally to the main idea of this chapeteter, the leimit./ tThe idea of a limit plays a funoundational role throughtoout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 369 158 144 159 158 215 172 101 99 128 86 131 84 103 114 73 128 130 72 83 99 44 72 101 72
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 128 88 144 99 145 240 116 99 159 159 72 72 129 114 127 85 86 88 85 59 173 57 100 86 117
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 143 44 109 73 72 58 101 56 131 99 88 257 142 142 218 55 216 117 142 88 99 184 143 87 101
Character r e f l -l -f l a t e d t o a c h a n g e
Milliseconds 116 301 157 169 58 159 143 130 115 129 86 159 87 97 70 87 101 101 114 72 100 89 71 58 100
Character i n a n o t h e r . H o w d -d d o e s t h
Milliseconds 29 125 72 102 85 158 117 69 103 70 73 129 241 201 101 187 244 103 99 112 85 173 86 130 58
Character e s p e e d o f f -f a f a l l i n g o b
Milliseconds 71 86 115 88 99 117 139 115 128 188 172 173 271 85 116 127 130 117 127 160 143 58 98 70 231
Character j e c t c x h a -a -h -x h a n g e a s a f u
Milliseconds 129 114 101 188 115 128 15 70 142 258 146 129 231 85 103 108 73 116 216 129 130 84 131 114 82
Character n c t i o n o f t i m e ? h -h H o w d o e
Milliseconds 158 218 157 44 156 116 88 114 97 72 99 58 130 72 202 244 144 226 186 201 117 345 143 84 127
Character s t h e e l e -e -l -e l e v e l -l - l o f
Milliseconds 158 89 98 74 71 87 129 57 117 181 146 113 144 15 143 71 118 71 268 129 116 87 186 87 145
Character w a t e i -i r i n a b a r r e l c h a n g
Milliseconds 57 100 129 88 212 315 200 145 115 183 86 100 160 171 101 175 128 128 112 215 361 71 58 129 74
Character e a s a f u n c t i o n o f t h e a m
Milliseconds 42 213 257 86 158 116 130 230 70 169 117 187 70 159 158 101 114 101 112 145 42 145 84 90 97
Character o u i -i n t o f l i 2 q u -u -q -2 q u i d p o
Milliseconds 144 144 15 386 286 88 128 143 116 101 140 143 130 0 101 344 144 130 97 86 171 132 128 232 171
Character u r e d i n t o i t ? W e s e e c h a n
Milliseconds 217 340 130 186 117 85 172 71 85 128 87 86 273 272 371 201 144 101 157 130 101 130 71 111 72
Character g e o c c u r i n g -g -n -i r i n g i n n e a
Milliseconds 73 72 115 346 143 158 74 109 172 187 131 143 144 115 101 125 172 73 129 158 174 85 370 72 74
Character r l y e v e r y t h i u n -n -u n g a s -s -a w e
Milliseconds 69 130 129 130 158 144 72 141 186 302 100 159 15 172 240 115 173 44 128 129 101 230 159 111 200
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 145 130 142 288 155 100 230 116 171 101 158 87 87 73 81 87 72 85 102 100 101 100 86 58 102
Character u n i v e r s , e -e -, e , a n d p o w e r f
Milliseconds 100 57 140 144 115 129 88 156 117 115 268 115 116 101 200 417 72 84 99 74 157 43 129 101 186
Character u l m o d e r i n -n -i n i n s t u m -m -u r u m
Milliseconds 87 217 96 115 187 71 87 128 117 159 354 157 777 399 129 145 71 172 471 259 244 143 102 100 169
Character e n t s h e l p u s s e e m o r e a n d
Milliseconds 101 86 100 186 117 71 88 128 157 170 201 101 144 259 173 114 97 86 131 14 57 201 101 101 86
Character m o r e . , - -, T -T I n t h i s e -e s e
Milliseconds 100 59 128 68 59 128 15 100 231 143 116 286 285 172 503 172 126 101 201 87 114 159 288 71 155
Character c t i o n w e i n t r o d u c e t h e i d
Milliseconds 173 157 58 160 186 71 86 172 126 101 172 115 145 85 187 115 115 112 145 114 56 102 102 99 88
Character e a s o f a v e r a g e a n d i n s t a n
Milliseconds 56 86 144 154 116 100 144 201 158 116 129 126 202 128 144 273 115 102 99 113 157 359 187 132 140
Character t e n -n -e a n e o u s r a t e s o f c h a n
Milliseconds 472 215 143 276 157 125 129 130 157 174 86 100 145 100 126 86 187 72 86 73 100 130 100 115 98
Character g e , a n d s h o w t h a t w -w t h y e
Milliseconds 72 85 115 144 143 87 86 101 115 102 411 101 144 115 56 102 57 116 115 284 158 72 185 45 158
Character - -e e -e -y e y a r e c l o s e l y r e l a t
Milliseconds 269 143 288 115 144 115 144 144 111 86 101 115 173 72 157 74 172 71 140 172 231 86 158 116 215
Character e d t o t h e s l o p e o f a c u r v
Milliseconds 125 173 88 113 101 86 173 201 87 71 112 72 158 159 85 130 416 83 187 143 87 144 87 114 201
Character e a t a p o i n t P o n t h e c u r
Milliseconds 85 141 130 129 158 115 158 88 186 168 173 73 101 213 260 172 214 99 144 86 72 101 217 142 46
Character v e . W e g i v e p r e c i s e d e v e l
Milliseconds 583 158 216 130 201 198 186 173 44 114 72 129 130 125 102 172 71 130 201 146 228 110 187 74 142
Character o p e m n -n -m m e -e -m -e m e n t s o f t h e s
Milliseconds 144 172 103 85 225 174 130 186 186 174 128 116 183 114 116 117 171 130 86 129 169 229 59 85 172
Character e i m p o r t a n t c o n c e p t s i n t
Milliseconds 131 99 385 143 173 146 84 158 117 42 100 144 125 59 157 115 131 143 87 200 155 201 462 55 115
Character t h -h -t - -t t h e n e c x -x x -x -c x t c h a
Milliseconds 174 72 184 143 128 117 143 187 99 103 86 469 102 131 0 373 197 172 129 102 199 144 144 74 109
Character p t e r - , b u t f o r n o w w -w w e
Milliseconds 159 172 146 70 131 273 197 186 217 171 72 172 131 87 70 97 60 142 58 172 619 342 344 143 101
Character u s e a n i n f o r m a l a p p r o c -c a c
Milliseconds 86 87 153 115 144 72 130 186 147 99 114 111 88 99 102 315 159 100 146 99 83 128 187 130 86
Character h s o y o u w i l l s e e h - -h h o w
Milliseconds 202 157 216 154 245 173 88 155 59 42 87 168 130 146 41 186 188 172 43 270 129 173 144 187 57
Character t h e y l e a d n a t u y r a -a -r -y r a l l
Milliseconds 130 115 59 99 153 146 143 100 72 129 131 173 72 124 100 15 88 156 187 129 130 102 71 87 126
Character y t o t h e m a i n i d e a o f t h i
Milliseconds 201 618 142 84 102 114 56 116 73 85 102 56 131 101 114 85 68 73 101 114 102 202 100 101 159
Character s c h a p e t e -e -t -e t e r , t h e l e -e i
Milliseconds 71 82 115 102 100 115 99 88 143 232 153 115 86 103 98 76 182 303 72 111 88 69 88 243 188
Character m i t . / -/ t -t T h e i d e a o f a l i
Milliseconds 173 115 157 543 14 460 184 288 215 172 145 143 183 86 87 71 72 158 102 86 114 102 130 85 155
Character m i t p l a y s a f u n -n -u o u n d a t i o
Milliseconds 173 113 116 173 145 170 86 140 187 101 87 117 184 105 170 210 117 114 172 159 57 131 85 86 155
Character n a l r o l e t h r o u g h t o -o -t o u t c
Milliseconds 144 114 86 117 142 103 143 99 101 183 72 117 100 158 102 113 129 284 144 201 174 200 117 143 153
Character a l c u l u s .
Milliseconds 158 29 346 186 259 183 117 142
WPM Timing
Seconds WPM
2.78 86.35
5.56 97.15
8.34 100.75
11.12 94.99
13.9 95.85
16.68 94.99
19.45 91.29
22.23 91.75
25.01 89.71
27.79 86.79
30.57 85.18
33.35 85.27
36.13 85.03
38.91 82.34
41.69 82.32
44.47 81.23
47.25 81.27
50.03 79.4
52.81 81.13
55.59 80.53
58.36 78.54
61.14 77.72
63.92 78.66
66.7 77
69.48 77.37
72.26 78.05
75.04 76.92
77.82 77.72
80.6 77.57
83.38 77
86.16 77.58
88.94 77.58
91.72 77.46
94.49 77.59
97.27 76.49
100.05 76.64
102.83 76.32
105.61 75.22
108.39 75.17
111.17 74.8
113.95 74.98
116.73 74.84
119.51 75.01
122.29 75.17
125.07 75.32
127.85 74.81
130.62 74.78
133.4 74.66
136.18 74.99
138.96 74.61