Kyle (kylej88)

Race #1339

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Official speed 74.44 wpm (139.28 seconds elapsed during race)
Without ending ping 74.51 wpm (138 ms delay sending score to TypeRacer’s server)
Timerless 74.67 wpm (288 ms elapsed before first character typed; 138.85 seconds elapsed during race)
Timerless minus one 74.58 wpm, ignoring the first character typed
Race Start August 23, 2023 5:16:24am UTC
Race Finish August 23, 2023 5:18:44am UTC
Outcome No win (2 of 4)
Accuracy 96.4%
Points 201.00
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 Calucluulus is a tool that helps us understnad and how a change in one quantity is related to changea gchange in another. How does the speed of a falling object cahange as a funcittion of time? How does that le level of water in a barrel change as a fucntnction of the amount of liquid puoured into it? We see change ocucurrin g in nearly everythign ngng we observe in the world and universe, and powerful modenrn insturruments help us see more ndand more. In this section we indtrudoodcuuce the ideas of average and instantaneous rates of change, and show that they are closerly ly rlelated to the slope of a cruur ve at a point pP on the curve. We give precise developments of these important concepts in the next chanpter, but for now we use an informal appraooach so you will se howwe how they lead banaturally to the main idea of this chapter, the limit. The idea of a limit plays a foundation al role throughout claalculouus.
Timing
Character C a l u -u c l u -u -l u l u s i s a t o o l
Milliseconds 288 161 137 132 318 86 134 49 288 113 162 157 228 156 65 132 96 69 112 40 185 69 111 156 65
Character t h a t h e l p s u s u n d e r s t n a d
Milliseconds 133 23 97 39 49 135 67 135 91 134 91 105 76 66 158 179 16 186 91 91 112 134 43 138 63
Character - -d -a -n a n d h o w a c h a n g e i n o
Milliseconds 321 110 135 135 90 90 92 41 117 111 18 116 93 109 159 91 42 136 69 134 69 108 45 44 273
Character n e q u a n t i t y i s r e l a t e d t o
Milliseconds 45 137 90 313 69 359 112 113 136 89 200 92 176 73 68 113 109 137 136 156 174 115 95 89 42
Character c h a n g e -e -g -n -a -h -c a g -g c h a n g e i
Milliseconds 44 185 63 72 111 43 159 202 136 136 160 133 113 103 94 140 336 41 163 44 339 86 160 43 245
Character n a n o t h e r . H o w d o e s t h e s
Milliseconds 46 73 180 110 89 138 67 88 43 92 43 318 178 92 112 248 67 67 134 134 89 116 69 69 379
Character p e e d o f a f a l l i n g o b j e c t
Milliseconds 203 181 135 179 43 182 65 116 220 274 135 226 135 110 182 68 69 88 179 654 449 136 179 177 72
Character c a -a h a n g e a s a f u n c i t -t -i t i o
Milliseconds 179 159 313 195 347 156 88 138 91 106 162 91 91 111 42 117 154 160 127 95 296 110 94 110 180
Character n o f t i m e ? H o w d o e s t h a t
Milliseconds 42 63 140 70 113 65 115 20 93 375 117 317 181 111 68 201 42 117 112 112 69 112 47 13 121
Character l -l - -t -a e l e v e l o f w a t e r i n
Milliseconds 111 315 134 159 113 158 180 177 91 158 90 157 69 203 65 69 203 157 68 180 43 94 110 22 93
Character a b a r r e l c h a n g e a s a f u c n
Milliseconds 111 63 251 113 112 180 199 115 44 294 90 89 137 90 112 66 113 181 90 110 66 138 92 156 136
Character t -t -n -c n c t i o n o f t h e a m o u n t
Milliseconds 203 180 133 136 180 267 186 43 180 19 68 134 90 27 178 113 61 96 114 111 67 64 184 111 44
Character o f l i q u i d p u -u o u r e d i n t o i
Milliseconds 159 43 116 246 137 220 68 95 134 67 225 134 430 182 66 112 226 150 73 133 69 69 65 94 177
Character t ? W e s e e c h a n g e o c u -u c u r r
Milliseconds 68 271 111 222 205 114 91 177 133 65 117 93 42 138 42 138 64 250 270 158 515 178 252 132 474
Character i n - g i n n e a r l y e v e r y t h i g
Milliseconds 113 65 252 379 66 92 150 27 71 317 135 130 114 92 110 67 158 160 90 91 66 157 49 149 0
Character n - -n n g -g -n -g n g w e o b s e r v e i n
Milliseconds 44 323 179 135 201 131 230 135 135 176 93 92 155 204 113 200 181 407 134 90 203 91 135 180 39
Character t h e w o r l d a n d u n i v e r s e ,
Milliseconds 67 70 115 41 116 114 16 184 17 209 90 137 67 42 117 201 157 132 113 137 92 111 89 136 93
Character a n d p o w e r f u l m o d e n -n r n i n s
Milliseconds 85 67 92 85 163 180 203 154 90 203 92 112 66 341 111 134 113 90 542 91 107 70 248 113 179
Character t u r -r -u r u m e n t s h e l p u s s e e
Milliseconds 335 184 315 224 135 111 161 245 135 136 66 136 88 159 113 86 95 90 133 114 157 448 205 134 47
Character m o r e n d -d -n a n d m o r e . I n t h i
Milliseconds 134 90 64 114 42 161 181 270 135 179 88 68 136 113 42 68 138 157 17 253 227 135 133 90 22
Character s s e c t i o n w e i n d -d t r u d o -o -d -u
Milliseconds 158 44 287 188 540 202 86 140 65 115 132 160 90 202 65 113 428 42 207 91 248 88 249 109 250
Character o d c u -u -c u c e t h e i d e a s o f a v
Milliseconds 221 91 342 108 342 108 160 67 112 92 133 69 91 86 156 65 142 136 157 113 109 43 90 206 247
Character e r a g e a n d i n s t a n t a n e o u s r
Milliseconds 92 135 202 176 160 93 113 88 43 114 136 65 136 114 135 90 136 156 767 782 406 89 94 248 608
Character a t e s o f c h a n g e , a n d s h o w
Milliseconds 337 112 155 113 114 132 48 69 179 112 65 87 65 119 115 39 118 87 94 65 335 43 70 66 69
Character t h a t t h e y a r e c l o s e r l y - -y
Milliseconds 93 115 61 72 43 111 66 69 42 65 145 64 138 66 159 62 141 39 182 117 62 93 65 342 132
Character -l -r l y r l -l e l a t e d t o t h e s l o
Milliseconds 114 132 227 43 93 133 183 265 140 63 162 178 158 135 92 131 0 139 40 68 115 47 357 93 178
Character p e o f a c r u -u -r u r - v e a t a
Milliseconds 246 206 89 337 62 93 430 135 204 292 111 198 163 137 128 45 385 182 135 133 203 92 136 39 609
Character p o i n t p -p P o n t h e c u r v e . W
Milliseconds 296 179 134 67 94 244 334 429 701 135 406 82 97 90 62 71 68 209 86 270 291 203 225 39 232
Character e g i v e p r e c i s e d e v e l o p m e n
Milliseconds 179 134 225 92 87 90 63 201 97 114 181 108 117 157 112 201 136 157 90 112 338 203 203 112 65
Character t s o f t h e s e i m p o r t a n t c o n
Milliseconds 115 114 64 135 17 121 66 89 0 228 135 152 207 59 145 133 112 204 248 129 93 115 293 20 87
Character c e p t s i n t h e n e x t c h a n -n p t
Milliseconds 250 138 131 94 113 90 86 40 74 41 95 61 72 135 92 182 133 110 182 18 113 96 291 158 113
Character e r , b u t f o r n o w w e u s e a n
Milliseconds 133 91 136 64 363 158 63 93 181 43 137 158 134 38 96 92 450 156 91 134 92 135 112 87 44
Character i n f o r m a l a p p r a o -o -a o a c h s o
Milliseconds 112 183 65 161 110 66 93 91 155 91 180 249 112 225 180 113 293 113 203 38 141 111 315 203 203
Character y o u w i l l s e h o w -w -o -h - w -w e h
Milliseconds 112 136 134 37 93 141 40 162 112 39 94 182 133 138 112 112 201 114 130 140 134 271 205 88 271
Character o w t h e y l e a d b a -a -b n a t u r a l l
Milliseconds 90 37 96 383 0 137 16 69 181 90 160 135 63 161 136 382 91 201 114 112 113 155 248 66 114
Character y t o t h e m a i n i d e a o f t h i
Milliseconds 92 62 253 67 43 181 62 119 17 207 90 88 23 228 561 179 204 134 110 274 90 67 159 63 65
Character s c h a p t e r , t h e l i m i t . T h e
Milliseconds 47 113 247 91 93 112 271 155 90 90 41 120 62 115 20 341 134 113 107 118 160 42 181 112 89
Character i d e a o f a l i m i t p l a y s a
Milliseconds 116 223 91 112 136 86 137 41 50 157 42 112 319 40 184 497 226 179 157 112 62 134 115 117 134
Character f o u n d a t i o n - a l r o l e t h r o u
Milliseconds 203 19 41 165 40 140 110 42 163 40 184 312 161 87 92 452 43 160 133 67 655 89 112 16 68
Character g h o u t c l a -a -l a l c u l o u -u -o u s .
Milliseconds 92 67 118 40 68 93 407 135 42 452 135 157 65 139 129 229 181 88 495 138 113 86 113
WPM Timing
Seconds WPM
2.79 51.69
5.57 84
8.36 83.29
11.14 85.08
13.93 76.68
16.71 78.26
19.5 80
22.28 77
25.07 76.58
27.86 76.25
30.64 74.41
33.43 76.82
36.21 76.55
39 78.16
41.78 77.54
44.57 78.89
47.36 76.02
50.14 76.58
52.93 74.82
55.71 76.46
58.5 77.34
61.28 75.39
64.07 75.86
66.85 75.75
69.64 75.99
72.43 73.73
75.21 74.35
78 74.31
80.78 73.09
83.57 75.1
86.35 74.62
89.14 74.71
91.92 73.76
94.71 73.36
97.5 72.62
100.28 72.87
103.07 73.35
105.85 73.69
108.64 74.34
111.42 74.74
114.21 74.49
117 74.57
119.78 74.14
122.57 74.02
125.35 74.29
128.14 74.73
130.92 74.88
133.71 75.21
136.49 75.26
139.28 74.44