DukeOrso (grim_rimmer)

Race #3009

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Official speed 83.80 wpm (123.72 seconds elapsed during race)
Without ending ping 84.01 wpm (314 ms delay sending score to TypeRacer’s server)
Timerless 86.18 wpm (3,104 ms elapsed before first character typed; 120.31 seconds elapsed during race)
Timerless minus one 86.08 wpm, ignoring the first character typed
Race Start May 26, 2024 9:15:58am UTC
Race Finish May 26, 2024 9:18:02am UTC
Outcome Win (1 of 5)
Opponents 3. mahboob_alavi (59.92 wpm)
Accuracy 97.1%
Points 226.27
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 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 ina a barrel change as a function fo of the amount of liquid poured into it? We see change occuring ring in nearly everything we boobserve in the world and universe, and powerful modern instruments help us see more and more In. e. In this section we introdudce the ideqaas of average and instanteaneous rates of cnhange, and hwshow that they are closerlly related to the slpope of a curve at a point P on the curve. We give precise deevelopments of these important conecetpts in the next champter, but for nwow we use an informal approach s oo you will see how they lead natruualrally to the main idea of theiis chapter, the limit. The didea of a limit plays founa foundational role throughout calculusl.,..
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 3104 195 169 161 114 212 141 120 102 124 32 124 109 114 296 47 137 183 123 169 39 117 62 89 146
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 89 109 156 104 46 133 70 82 137 160 66 147 103 153 104 97 90 93 44 118 94 40 100 93 94
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 130 70 146 44 128 23 59 104 167 85 135 134 73 91 135 149 137 157 218 72 158 86 97 185 106
Character r e l a t e d t o a c h a n g e i n a
Milliseconds 53 197 53 125 118 106 52 182 84 118 71 151 94 114 92 100 108 77 125 51 5 125 130 81 119
Character n o t h e r . H o w d o e s t h e s p e e
Milliseconds 83 79 118 84 66 90 46 129 175 93 99 110 107 79 120 141 119 110 71 97 15 195 72 89 128
Character d o f a f a l l i n g o b j e c t c h a
Milliseconds 159 72 129 73 89 286 147 141 69 114 149 93 184 61 43 113 218 83 95 169 146 89 169 83 118
Character n g e a s a f u n c t i o n o f t i m e
Milliseconds 59 149 65 170 103 91 113 106 73 164 71 158 86 159 30 42 173 81 95 112 100 140 59 104 94
Character ? H o w d o e s t h e l e v e l o f w
Milliseconds 206 117 172 101 113 46 149 52 116 138 132 115 69 100 37 138 109 151 44 145 108 105 83 64 116
Character a t e r i n a - -a a b a r r e l c h a n
Milliseconds 135 99 75 128 13 148 155 120 118 326 115 108 93 107 113 244 144 166 394 111 105 190 45 147 38
Character g e a s a f u n c t i o n f o - -o -f o f
Milliseconds 279 86 128 163 107 92 109 86 102 90 141 73 188 51 41 161 84 109 97 204 167 157 148 250 106
Character t h e a m o u n t o f l i q u i d p o u
Milliseconds 48 128 46 61 43 224 102 151 123 168 59 85 80 83 45 129 148 211 94 116 124 98 153 178 97
Character r e d i n t o i t ? W e s e e c h a n g
Milliseconds 99 60 188 51 99 126 124 68 102 203 81 249 97 173 190 97 135 147 118 82 137 52 166 42 204
Character e o c c u r i n g - -g -n -i r i n g i n n e
Milliseconds 96 57 233 142 149 218 133 107 182 67 101 188 153 126 153 262 89 137 137 55 105 118 75 161 72
Character a r l y e v e r y t h i n g w e b o -o -b o b
Milliseconds 77 86 91 157 93 99 133 42 183 47 204 115 49 151 61 79 135 22 136 167 110 187 138 162 77
Character s e r v e i n t h e w o r l d a n d u n
Milliseconds 268 49 172 202 35 95 107 118 88 87 58 113 7 185 66 83 100 102 64 121 43 83 39 145 176
Character i v e r s e , a n d p o w e r f u l m o d e
Milliseconds 129 95 69 234 133 60 171 154 91 82 96 26 162 144 110 51 103 208 60 134 93 149 64 176 170
Character r n i n s t r u m e n t s h e l p u s s e
Milliseconds 71 109 100 109 151 69 144 172 49 206 116 110 71 106 83 125 98 118 476 124 114 60 101 105 93
Character e m o r e a n d m o r e I n -n -I - -e . -
Milliseconds 170 93 71 86 58 49 99 142 75 114 9 145 68 79 48 250 158 166 165 141 133 134 192 72 228
Character -. e . I n t h i s s e c t i o n w e i n
Milliseconds 129 110 131 115 157 141 97 104 38 83 93 51 182 133 176 181 0 55 146 86 357 103 112 263 135
Character t r o d u d -d c e t h e i d e q a -a -q a s o
Milliseconds 110 160 68 189 95 128 243 87 197 86 130 72 106 136 164 45 179 68 7 373 133 46 111 104 130
Character f a v e r a g e a n d i n s t a n t e -e a n
Milliseconds 67 68 186 141 106 188 88 119 73 56 213 104 93 38 144 136 85 186 96 143 106 309 448 59 118
Character e o u s r a t e s o f c n -n h a n g e , a
Milliseconds 177 202 73 190 90 353 96 128 48 154 50 138 103 39 171 114 232 112 60 111 91 75 94 101 123
Character n d h w -w -h s h o w t h a t t h e y a r e
Milliseconds 65 67 44 151 5 462 110 112 112 85 35 186 230 59 104 67 82 105 79 64 114 90 87 135 61
Character c l o s e r l -l -r l y r e l a t e d t o t
Milliseconds 120 154 141 205 54 62 258 150 226 111 172 148 90 140 49 75 151 87 92 172 65 145 52 111 54
Character h e s l p -p o p e o f a c u r v e a t
Milliseconds 115 55 46 363 22 319 485 192 52 189 65 160 57 78 121 68 155 96 131 180 40 104 104 159 2
Character a p o i n t P o n t h e c u r v e . W
Milliseconds 192 70 350 80 33 178 74 47 206 162 140 136 66 89 55 60 47 183 53 283 328 60 117 95 283
Character e g i v e p r e c i s e d e e -e v e l o p m
Milliseconds 202 108 161 82 104 46 72 145 134 69 227 179 119 44 124 345 170 292 255 89 38 120 220 28 228
Character e n t s o f t h e s e i m p o r t a n t c
Milliseconds 82 125 83 112 66 105 89 53 143 84 90 142 56 55 157 131 123 118 89 195 97 96 51 107 119
Character o n e -e c e t -t p t s i n t h e n e x t c
Milliseconds 55 133 98 188 45 198 148 344 230 77 202 67 104 144 90 46 88 76 52 171 68 239 283 94 235
Character h a m -m p t e r , b u t f o r n w -w o w w
Milliseconds 267 106 116 439 233 103 128 83 92 82 333 76 123 60 118 114 44 115 112 133 456 211 53 116 201
Character e u s e a n i n f o r m a l a p p r o a c
Milliseconds 152 51 189 95 80 177 159 54 106 92 139 92 191 87 391 154 108 78 126 79 152 152 108 100 222
Character h s o -o - o y o u w i l l s e e h o w
Milliseconds 49 218 212 133 82 234 131 214 26 216 171 95 74 91 88 151 183 116 75 200 156 47 116 81 65
Character t h e y l e a d n a t r u -u -r u a l -l -a r a
Milliseconds 94 133 31 137 44 96 101 51 362 129 97 239 73 172 202 273 177 150 182 111 99 240 124 92 67
Character l l y t o t h e m a i n i d e a o f t
Milliseconds 110 122 146 81 74 59 107 108 70 66 49 148 87 88 128 85 152 127 204 6 476 141 95 45 132
Character h e i -i -e i s c h a p t e r , t h e l i m i
Milliseconds 42 51 26 276 121 136 2 186 165 157 76 109 232 76 122 94 81 109 41 82 18 327 150 131 124
Character t . T h e d -d i d e a o f a l i m i t
Milliseconds 94 133 93 273 205 41 113 107 267 167 49 149 63 108 108 83 84 92 82 106 137 196 129 94 103
Character p l a y s f o u n -n -u -o -f a f o u n d a t i o
Milliseconds 169 163 81 96 153 121 175 77 98 176 174 138 150 157 263 75 271 383 65 165 96 65 163 60 44
Character n a l r o l e t h r o u g h o u t c a l c u
Milliseconds 121 254 82 114 227 86 232 70 112 162 48 144 48 84 104 126 88 88 98 100 172 157 132 87 369
Character l u s l . -. -l , . -. -, .
Milliseconds 269 223 92 66 5 575 485 220 0 867 167 316
WPM Timing
Seconds WPM
2.47 0
4.95 33.95
7.42 58.19
9.9 73.96
12.37 79.53
14.85 86.48
17.32 90.06
19.8 90.93
22.27 93.22
24.74 95.05
27.22 93.46
29.69 92.95
32.17 91.4
34.64 91.79
37.12 92.14
39.59 90.02
42.07 90.43
44.54 89.72
47.01 91.12
49.49 91.9
51.96 91.91
54.44 91.92
56.91 90.45
59.39 90.12
61.86 89.62
64.34 89.72
66.81 88.91
69.28 88.33
71.76 89.13
74.23 89.07
76.71 88.23
79.18 88.66
81.66 88.76
84.13 88.15
86.61 88.68
89.08 88.37
91.56 87.55
94.03 87.29
96.5 87.29
98.98 86.81
101.45 87.29
103.93 86.25
106.4 86.73
108.88 86.3
111.35 86.43
113.83 86.66
116.3 85.54
118.77 85.88
121.25 85.41
123.72 83.8