eden (slothturtle)

Race #277

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Official speed 89.76 wpm (115.51 seconds elapsed during race)
Without ending ping 89.85 wpm (119 ms delay sending score to TypeRacer’s server)
Timerless 90.29 wpm (557 ms elapsed before first character typed; 114.83 seconds elapsed during race)
Timerless minus one 90.18 wpm, ignoring the first character typed
Race Start September 16, 2024 3:24:58pm UTC
Race Finish September 16, 2024 3:26:53pm UTC
Outcome No win (2 of 4)
Opponents 1. shivamrai162 (90.43 wpm)
3. tortoise9 (83.00 wpm)
Accuracy 98.1%
Points 242.36
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 quanitity is related to ac change in another. How does the speed of a falling object change as a function of time? How does teh he level of water in a barrel hchanges as a function of the amount of liquid poured into it? We see change occurring in nearly everything we observe in the world and unvieriverse, and powerful modern instruments help us see more and more. In this secitino on we introduce the ideas of average and instantaneous rates of ahchachange, and show that they are closely related to the slopee of a curve at a point P on the curve. Wee give precise developments of these important concepts in the next chapter, but for a now we use inan informal approach so you will see how they lead naturally t o the main idea of this chapter, the limit. The idea of a limit plays a fodoufoundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 557 724 602 137 150 187 151 203 97 132 94 52 127 47 146 48 157 167 188 94 84 85 106 41 198
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 80 147 86 93 116 134 89 116 90 77 88 57 121 121 123 135 96 87 94 160 67 57 149 56 112
Character c h a n g e i n o n e q u a n i -i t i t y
Milliseconds 77 121 81 103 89 71 56 133 66 139 128 77 139 77 123 81 157 79 135 380 70 114 124 187 211
Character i s r e l a t e d t o a c - -c c h a n g
Milliseconds 162 126 58 95 82 69 118 87 66 144 125 80 103 109 35 279 151 333 101 272 96 95 90 106 91
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 56 79 149 55 140 177 148 67 91 101 88 78 127 195 699 174 120 116 88 107 75 93 96 82 128
Character e s p e e d o f a f a l l i n g o b j e
Milliseconds 56 131 61 118 114 161 75 88 133 103 103 122 81 102 87 45 144 146 75 110 74 160 165 171 108
Character c t c h a n g e a s a f u n c t i o n o
Milliseconds 19 221 107 122 87 111 91 94 85 81 149 101 135 132 99 84 104 85 113 215 139 148 53 192 128
Character f t i m e ? H o w d o e s t e h - -h -e h
Milliseconds 89 103 103 97 49 116 248 270 328 203 154 108 131 150 68 69 137 14 224 57 212 240 113 110 329
Character e l e v e l o f w a t e r i n a b a r
Milliseconds 99 88 150 91 101 119 69 125 161 25 201 98 126 141 120 131 123 160 66 135 99 102 155 75 114
Character r e l h -h c h a n g e s -s a s a f u n c t
Milliseconds 176 95 134 228 189 298 120 98 97 101 61 69 196 291 163 85 70 115 154 93 210 71 79 142 213
Character i o n o f t h e a m o u n t o f l i q u
Milliseconds 52 119 16 162 103 87 99 131 81 174 115 161 36 113 84 119 19 136 164 21 158 151 83 126 109
Character i d p o u r e d i n t o i t ? W e s e e
Milliseconds 84 123 62 171 58 273 151 87 131 60 136 63 79 87 116 115 86 213 276 340 141 364 118 83 195
Character c h a n g e o c c u r r i n g i n n e a r
Milliseconds 63 176 95 105 113 66 66 433 275 156 170 175 91 160 108 53 107 88 119 64 127 140 65 80 139
Character l y e v e r y t h i n g w e o b s e r v e
Milliseconds 51 232 147 118 102 114 99 137 104 139 122 99 58 120 83 84 70 165 66 103 115 99 265 80 120
Character i n t h e w o r l d a n d u n v i e r -r -e
Milliseconds 172 48 131 96 121 35 140 73 157 52 194 104 160 135 83 119 56 157 77 115 21 125 113 248 105
Character -i -v i v e r s e , a n d p o w e r f u l m o
Milliseconds 176 112 244 73 91 183 91 113 62 177 150 87 105 83 168 65 32 70 239 301 125 69 205 178 113
Character d e r n i n s t r u m e n t s h e l p u s
Milliseconds 88 66 110 75 143 94 76 118 119 48 96 208 109 99 75 108 117 179 127 155 80 197 112 83 104
Character s e e m o r e a n d m o r e . I n t h i
Milliseconds 115 81 181 102 161 90 66 43 68 158 27 155 82 166 115 100 52 136 202 214 143 361 78 114 81
Character s s e c i -i t i n o - -o -n o n w e i n t r
Milliseconds 66 108 85 111 155 346 295 101 120 158 44 166 295 109 137 277 78 125 93 79 71 141 72 87 47
Character o d u c e t h e i d e a s o f a v e r a g
Milliseconds 83 139 113 233 99 120 113 81 85 84 132 19 117 98 112 82 134 93 109 70 167 118 69 129 126
Character e a n d i n s t a n t a n e o u s r a t e s
Milliseconds 54 102 119 81 67 91 113 76 70 105 134 93 106 262 136 180 155 111 95 123 66 118 131 162 127
Character o f a h -h c h a -a -h -c -a c h a n g e , a n d
Milliseconds 68 131 78 107 159 136 362 68 134 99 150 118 115 83 210 93 99 102 94 68 116 130 77 66 126
Character s h o w t h a t t h e y a r e c l o s e
Milliseconds 52 167 99 65 53 116 95 103 91 174 122 183 80 106 84 135 106 94 63 123 138 85 148 114 10
Character l y r e l a t e d t o t h e s l o p e -e e
Milliseconds 109 138 113 124 44 134 79 85 85 134 116 116 76 140 64 106 107 91 129 103 184 152 341 268 423
Character o f a c u r v e a t a p o i n t P
Milliseconds 142 126 114 75 102 81 85 109 97 191 73 145 167 107 71 116 64 167 68 199 41 92 93 304 268
Character o n t h e c u r v e . W e e -e g i v e p
Milliseconds 271 107 155 64 116 60 124 67 135 112 221 110 174 356 217 76 172 372 473 206 107 125 73 99 124
Character r e c i s e d e v e l o p m e n t s o f t h
Milliseconds 51 77 156 75 120 79 114 139 94 153 70 152 221 83 112 130 104 94 170 134 153 92 159 93 135
Character e s e i m p o r t a n t c o n c e p t s i n
Milliseconds 117 164 101 100 152 75 124 53 116 184 133 129 150 317 151 197 113 131 74 100 102 117 94 115 68
Character t h e n e x t c h a p t e r , b u t f o
Milliseconds 156 46 135 66 143 138 152 211 215 87 137 96 103 84 114 51 131 20 166 150 72 47 128 80 140
Character r a - -a n o w w e u s e i n -n -i a n i
Milliseconds 70 77 104 97 261 92 203 77 133 69 149 90 110 135 67 67 114 165 74 243 101 137 79 181 201
Character n f o r m a l a p p r o a c h s o y o u w
Milliseconds 97 103 102 132 85 176 54 163 175 94 120 113 100 177 115 164 149 108 91 62 208 96 76 74 133
Character i l l s e e h o w t h e y l e a d n a t
Milliseconds 66 99 163 122 64 67 198 40 263 64 73 127 86 129 134 78 163 125 53 82 134 64 140 94 73
Character u r a l l y t - o t h e m a i n i d e a
Milliseconds 97 110 68 68 153 64 123 111 148 389 274 144 111 71 99 82 149 97 60 41 140 128 82 72 147
Character o f t h i s c h a p t e r , t h e l i m
Milliseconds 117 146 90 106 122 116 21 86 139 72 134 84 82 118 99 96 23 161 82 114 50 152 137 104 70
Character i t . T h e i d e a o f a l i m i t p
Milliseconds 125 120 172 269 298 111 164 114 151 70 43 136 108 138 91 123 125 65 177 112 66 146 115 138 176
Character l a y s a f o -o -f d o u -u -o -d f o u n d a t i
Milliseconds 71 116 119 97 106 126 67 168 68 300 101 499 119 100 236 123 103 192 92 66 97 35 168 201 87
Character o n a l r o l e t h r o u g h o u t c a l c
Milliseconds 90 25 132 91 109 127 84 151 70 112 90 81 115 58 58 216 18 257 124 134 97 162 105 53 139
Character u l u s .
Milliseconds 88 140 125 120 153
WPM Timing
Seconds WPM
2.31 25.97
4.62 64.93
6.93 81.38
9.24 88.31
11.55 89.34
13.86 85.71
16.17 85.34
18.48 88.95
20.79 90.61
23.1 91.42
25.41 88.31
27.72 87.87
30.03 87.11
32.34 86.82
34.65 88.65
36.96 89.6
39.27 88.92
41.58 88.59
43.89 89.67
46.2 90.12
48.51 88.55
50.82 88.78
53.13 89.66
55.44 90.47
57.75 89.55
60.06 88.31
62.37 89.27
64.68 89.79
66.99 89.02
69.3 89.17
71.61 89.65
73.93 90.09
76.24 89.56
78.55 89.53
80.86 88.6
83.17 88.74
85.48 88.87
87.79 88.85
90.1 89.24
92.41 89.21
94.72 88.81
97.03 89.17
99.34 89.63
101.65 89.49
103.96 90.04
106.27 90.23
108.58 90.41
110.89 89.39
113.2 89.58
115.51 89.76