kdot (k_dott_r)

Race #56

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Official speed 85.26 wpm (121.60 seconds elapsed during race)
Without ending ping 85.32 wpm (87 ms delay sending score to TypeRacer’s server)
Timerless 85.65 wpm (461 ms elapsed before first character typed; 121.06 seconds elapsed during race)
Timerless minus one 85.55 wpm, ignoring the first character typed
Race Start November 16, 2023 1:38:17am UTC
Race Finish November 16, 2023 1:40:19am UTC
Outcome No win (2 of 5)
Opponents 3. joeljohnstone (82.22 wpm)
Accuracy 97.3%
Points 230.20
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 tahat 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 odoes the level of water in a barrel change as a function of the amount of liquit d porured into it? We see change occuring irin g in nearly everything we obserce ive in the world and universe , andp powerful modern instruments help us see more and more . iNIn this esection we introduce the ideas of average and instantenoaneous rates of change, and show that they are closel y related t o the slope of a curve at a point P on the cruurve. We give precise development ofs of these imprortant concepts in the netxt chapter, but for now ew we use an informal approach so yoy wiy wiuu 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 claaculculus.
Timing
Character C a l c u l u s i s a t o o l t a -a h a t
Milliseconds 461 303 250 149 301 229 169 100 69 132 67 108 83 82 119 78 158 162 82 66 192 320 201 76 100
Character h e l p s u s u n d e r s t a n d h o w
Milliseconds 106 217 109 92 157 102 79 139 82 70 168 83 198 119 103 129 142 67 45 141 54 155 126 39 149
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 63 109 141 85 142 70 162 28 123 138 55 58 126 93 104 104 103 91 129 80 148 72 113 135 129
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 143 97 81 109 52 159 96 126 100 110 72 148 48 118 64 79 167 58 172 26 173 26 109 130 76
Character a n o t h e r . H o w d o e s t h e s p
Milliseconds 50 82 80 108 113 34 103 73 109 109 146 184 120 104 112 54 102 148 53 142 58 98 93 106 98
Character e e d o f a f a l l i n g o b j e c t c
Milliseconds 93 141 77 60 130 81 122 82 83 158 107 121 147 150 70 99 97 103 140 112 62 118 180 78 171
Character h a n g e a s a f u n c t i o n o f t i
Milliseconds 83 140 76 143 79 90 102 66 71 152 79 159 62 86 192 211 41 153 58 116 82 87 105 157 53
Character m e ? H o w o -o d o e s t h e l e v e l
Milliseconds 99 99 195 162 161 180 110 112 188 341 170 110 150 171 48 130 51 101 58 142 90 112 106 127 105
Character o f w a t e r i n a b a r r e l c h a n
Milliseconds 95 125 66 263 130 121 111 84 63 134 79 78 42 102 137 88 100 150 129 96 107 157 26 146 79
Character g e a s a f u n c t i o n o f t h e a
Milliseconds 150 70 115 78 96 73 121 67 130 53 90 79 179 51 133 60 105 94 86 72 159 24 136 53 168
Character m o u n t o f l i q u i t - -t d p o r -r u
Milliseconds 56 184 149 84 98 100 92 97 50 150 139 78 143 178 174 138 442 148 131 109 237 183 121 536 294
Character r e d i n t o i t ? W e s e e c h a n g
Milliseconds 157 141 112 111 149 60 107 92 115 88 95 165 155 114 225 162 196 178 125 33 117 66 134 61 159
Character e o c c u r i n g i -i - -g -n -i r i n - g i
Milliseconds 33 109 168 73 140 103 135 88 55 119 99 99 270 162 142 307 159 68 122 84 167 378 66 135 130
Character n n e a r l y e v e r y t h i n g w e o b
Milliseconds 80 109 150 150 131 35 73 175 25 151 64 106 50 55 229 92 60 128 126 76 114 67 92 181 130
Character s e r c e i -i - -e -c v e i n t h e w o r l
Milliseconds 365 182 80 254 94 105 129 287 160 139 153 48 37 106 98 79 115 51 85 100 49 131 68 121 80
Character d a n d u n i v e r s e - , a n d p - -p
Milliseconds 110 61 64 66 102 97 110 102 113 116 73 29 184 143 106 328 190 41 117 61 111 297 211 188 131
Character p o w e r f u l m o d e r n i n s t r u m e
Milliseconds 160 73 160 39 170 35 292 91 200 74 114 122 40 104 221 134 152 127 76 75 192 35 85 172 82
Character n t s h e l p u s s e e m o r e a n d
Milliseconds 75 101 110 47 261 115 146 140 75 114 75 187 377 172 142 109 160 94 86 45 90 124 26 111 65
Character m o r e - . i N -N -i I n t h i s e -e s e c
Milliseconds 169 78 54 47 230 351 194 167 179 323 226 147 182 401 120 181 32 109 138 64 143 323 65 155 90
Character t i o n w e i n t r o d u c e t h e i d e
Milliseconds 180 20 159 56 104 111 51 149 250 60 132 97 134 127 120 86 223 77 161 55 83 71 153 89 102
Character a s o f a v e r a g e a n d i n s t a n t
Milliseconds 142 58 79 121 99 95 135 121 106 59 135 82 118 88 194 118 112 108 120 74 49 168 73 88 138
Character e n o -o -n -e a n e o u s r a t e s o f c h a
Milliseconds 122 198 150 219 151 159 90 96 205 200 430 149 86 315 102 117 51 173 42 132 86 88 108 74 177
Character n g e , a n d s h o w t h a t t h e y a
Milliseconds 38 121 77 70 83 131 42 129 69 139 51 160 54 126 107 66 117 112 60 119 99 62 107 102 49
Character r e c l o s e l - y r e l a t e d t -
Milliseconds 96 77 107 590 63 199 62 146 74 239 367 325 190 79 67 189 102 127 117 116 73 145 170 254 337
Character - o t h e s l o p e o f a c u r v e a
Milliseconds 289 170 103 81 96 127 113 140 102 146 164 70 138 840 181 68 221 40 163 88 99 114 125 90 103
Character t a p o i n t P o n t h e c r u -u -r u
Milliseconds 150 21 180 69 329 201 149 106 52 144 160 155 156 47 135 48 100 126 32 127 265 65 330 141 182
Character r v e . W e g i v e p r e c i s e d e v e
Milliseconds 51 206 76 54 223 747 230 162 109 63 136 75 75 170 52 66 163 64 130 164 123 420 107 172 44
Character l o p m e n t o f -f -o - s o f t h e s e i
Milliseconds 96 150 160 153 80 107 85 94 121 129 285 156 143 89 89 109 49 81 135 22 123 182 149 29 97
Character m p r -r o r t a n t c o n c e p t s i n t h
Milliseconds 97 131 219 431 200 136 299 111 122 128 106 244 0 80 138 42 140 108 130 31 139 102 48 50 91
Character e n e t -t x t c h a p t e r , b u t f o r
Milliseconds 70 100 139 52 362 287 84 166 98 332 181 139 100 140 74 99 127 65 234 71 134 49 157 58 136
Character n o w e w - -w -e w e u s e a n i n f o
Milliseconds 44 162 118 102 60 115 0 233 285 145 141 63 39 77 142 42 157 34 187 35 145 53 69 92 93
Character r m a l a p p r o a c h s o y o y w i -i -w
Milliseconds 83 95 135 101 98 84 111 135 64 121 136 174 147 91 131 56 170 454 115 202 48 61 92 289 163
Character - -y y w i -i -w - u -u -y u w i l l s e e h o
Milliseconds 147 130 190 83 40 96 280 156 155 243 318 148 212 109 61 108 170 130 42 73 187 130 37 183 143
Character w t h e y l e a d n a t u r a l l y t o
Milliseconds 125 71 260 60 91 72 106 131 29 140 52 99 140 49 131 70 111 39 125 165 133 153 142 62 150
Character t h e m a i n i d e a o f t h i s c h a
Milliseconds 40 9 181 52 158 130 25 70 103 112 24 101 166 87 144 127 73 338 31 131 82 106 93 102 144
Character p t e r , t h e l i m i t . T h e i d e a
Milliseconds 41 122 76 98 35 49 162 61 117 62 138 155 44 112 149 132 147 241 174 166 61 114 46 89 142
Character o f a l i m i t p l a y s a f o u n d
Milliseconds 64 165 94 87 81 72 145 161 62 128 129 63 198 99 150 83 117 63 519 141 117 63 171 66 279
Character a t i o n a l r o l e t h r o u g h o u t c
Milliseconds 94 146 51 171 72 133 116 110 200 38 180 63 108 120 57 130 43 154 115 66 164 130 129 26 295
Character l a -a -l a c u -u -c l c u l u s .
Milliseconds 160 160 330 140 31 129 159 382 130 162 111 147 180 220 140 82
WPM Timing
Seconds WPM
2.43 64.14
4.86 71.54
7.3 83.88
9.73 91.28
12.16 97.69
14.59 101.15
17.02 102.2
19.46 103
21.89 99.78
24.32 100.65
26.75 102.27
29.19 103.61
31.62 100.2
34.05 97.62
36.48 97.69
38.91 92.82
41.35 94.33
43.78 91.28
46.21 92.97
48.64 91.28
51.07 91.4
53.51 91.06
55.94 90.1
58.37 88.61
60.8 89.4
63.23 90.14
65.67 88.63
68.1 89.34
70.53 89.83
72.96 88.98
75.39 88.02
77.83 87.42
80.26 87.62
82.69 86.35
85.12 86.42
87.56 85.93
89.99 85.48
92.42 85.83
94.85 85.78
97.28 85.61
99.72 86.16
102.15 84.35
104.58 83.88
107.01 84.44
109.44 85.08
111.88 85.7
114.31 86.08
116.74 86.14
119.17 86.19
121.6 85.26