3A12 (just_another_emily)

Race #283

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Official speed 75.72 wpm (136.93 seconds elapsed during race)
Without ending ping 75.89 wpm (310 ms delay sending score to TypeRacer’s server)
Timerless 75.93 wpm (76 ms elapsed before first character typed; 136.54 seconds elapsed during race)
Timerless minus one 75.85 wpm, ignoring the first character typed
Race Start October 29, 2023 2:25:13pm UTC
Race Finish October 29, 2023 2:27:30pm UTC
Outcome No win (4 of 5)
Opponents 2. phf5 (85.32 wpm)
3. lonesome13 (84.16 wpm)
Accuracy 95.9%
Points 204.45
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 CAlcalculus is a tool that helps us understna dha=and how a change in one quantity is related to a change in another. How does the speed o f a falling object achange oaas a function of time/ ? How does the level of water in a barrell change as a function of the maamount of liquid p9oporedrured into it? We see change occurring in ennearly 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 instatentaneous rate ss of change, and show that they are closlyey ly related to the l;osslope of a cruveurve at a point P on the curve. We give percre ccivse developments of therse importanat nt concepts in the next chaperter, but for now we used afn informal approach so you will see how they lead naturally to the main ide aof a odf this chapter, te limihe limiy. t. Theu widea of a limit plays a dofoundational role throughout calcluulus.
Timing
Character C A l c -c -l -A a l c u l u s i s a t o o l
Milliseconds 76 115 151 117 316 186 137 196 134 141 192 138 176 120 110 165 164 102 229 131 159 104 137 270 132
Character t h a t h e l p s u s u n d e r s t n a d
Milliseconds 124 73 121 69 44 167 120 63 206 82 133 135 130 64 106 112 79 98 123 135 123 149 91 142 0
Character h -h -d - -a a -a = -= -n a n d h o w a c h a n g
Milliseconds 188 185 126 125 129 312 144 450 49 328 242 93 156 50 138 93 75 95 99 101 171 39 207 5 262
Character e i n o n e q u a n t i t y i s r e l a
Milliseconds 110 92 94 101 145 93 144 188 140 439 137 123 154 113 117 102 149 134 128 118 131 98 101 132 108
Character t e d t o a c h a n g e i n a n o t h e
Milliseconds 159 94 152 42 182 69 100 116 49 200 121 110 102 88 91 54 70 116 54 156 128 82 68 186 60
Character r . H o w d o e s t h e s p e e d o -
Milliseconds 105 141 86 199 130 27 128 200 160 66 121 91 136 82 113 105 126 93 171 151 130 175 51 259 360
Character f a f a l l i n g o b j e c t a -a c h a n
Milliseconds 104 95 79 136 61 155 100 173 110 98 58 112 98 206 240 124 147 135 97 222 327 154 98 107 132
Character g e o a -a -o a s a f u n c t i o n o f t
Milliseconds 141 146 79 104 122 184 125 151 91 120 73 137 87 95 93 94 179 46 61 104 100 109 81 114 179
Character i m e / - -/ ? H o w d o e s t h e l e v
Milliseconds 97 136 134 189 48 244 108 306 86 229 111 89 111 320 120 62 122 47 116 62 95 82 132 40 130
Character e l o f w a t e r i n a b a r r e l l -l
Milliseconds 105 115 152 105 120 109 121 111 151 132 83 127 107 105 308 118 135 112 126 141 204 103 161 161 279
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 114 158 119 63 132 79 125 79 149 111 79 109 126 169 88 80 110 160 66 84 70 99 105 66 90
Character t h e m a -a -m a m o u n t o f l i q u i d
Milliseconds 128 60 112 130 173 96 210 126 95 90 140 108 87 81 64 110 111 74 205 120 141 128 143 140 146
Character p 9 o -o -9 -p p o r e d -d -e -r r -r u r e d i n t o
Milliseconds 252 134 0 418 118 199 540 161 890 91 139 301 139 101 361 271 214 113 99 112 98 99 115 86 188
Character i t ? W e s e e c h a n g e o c c u r r
Milliseconds 99 185 82 331 113 237 94 133 97 83 143 151 113 91 112 99 105 113 70 173 119 159 93 146 222
Character i n g i n e n -n -e n e a r l y e v e r y t h
Milliseconds 131 100 89 71 118 86 92 191 36 314 125 199 86 103 80 89 150 81 198 210 64 99 86 143 123
Character i n g w e o b s e r v e i n t h e w o r
Milliseconds 86 91 109 111 101 78 98 152 99 185 116 135 234 73 86 102 86 52 121 89 91 144 95 123 141
Character l d a n d u n i v e r s e , a n d p o w e
Milliseconds 51 255 103 309 133 96 101 125 43 381 80 91 140 146 107 324 100 102 157 81 83 106 73 31 109
Character r f u l m o d e r n i n s t r u m e n t s h
Milliseconds 105 184 101 176 68 126 131 48 184 147 186 114 106 121 33 126 79 140 195 91 155 97 147 91 163
Character e l p u s s e e m o r e a n d m o r e .
Milliseconds 121 107 199 138 183 146 135 149 178 184 142 66 132 70 97 65 134 80 101 98 127 69 84 76 124
Character I n t h i s s e c t i o n w e i n t r o
Milliseconds 77 164 92 140 131 88 127 58 147 67 121 200 169 190 121 80 121 95 113 142 110 88 50 100 132
Character d u c e t h e i d e a s o f a v e r a g e
Milliseconds 109 112 140 88 110 139 61 110 111 148 82 69 185 60 113 119 272 126 134 120 121 150 150 108 90
Character a n d i n s t a t e -e -t n t a n e o u s r a
Milliseconds 133 139 124 65 105 114 121 131 121 141 106 126 308 137 236 115 250 124 146 204 105 120 90 89 111
Character t e s -s - s o f c h a n g e , a n d s h
Milliseconds 129 93 149 88 248 111 109 103 99 72 119 140 110 126 124 112 109 38 211 183 128 94 85 155 123
Character o w t h a t t h e y a r e c l o s l y -y -l
Milliseconds 102 130 254 121 114 98 84 62 127 144 70 267 103 93 114 109 40 189 73 130 62 145 213 269 104
Character e y - -y l y r e l a t e d t o t h e l ;
Milliseconds 117 385 152 292 120 541 239 79 149 122 138 122 81 108 121 109 118 113 100 88 71 110 112 87 98
Character o s -s -o -; -l s l o p e o f a c r u v e -e -v -u
Milliseconds 16 190 179 140 140 118 201 109 160 107 103 101 133 56 152 27 139 66 190 134 164 140 193 134 112
Character -r u r v e a t a p o i n t P o n t h e
Milliseconds 110 401 152 171 77 152 136 160 85 145 131 101 78 125 205 113 173 197 227 115 85 121 122 67 106
Character c u r v e . W e g i v e p e r c -c -r -e r e
Milliseconds 103 120 152 111 153 141 225 25 279 97 158 109 120 161 110 120 88 122 99 221 239 142 108 221 111
Character c -c - c i v -v s e d e v e l o p m e n t s o
Milliseconds 160 87 251 121 139 120 122 309 121 93 96 129 93 182 65 163 177 100 132 119 150 122 149 109 109
Character f t h e r -r s e i m p o r t a n a t - -t -a -n
Milliseconds 76 85 128 88 118 159 447 295 137 128 101 103 143 57 134 112 160 65 53 172 153 182 135 112 108
Character n t c o n c e p t s i n t h e n e x t c
Milliseconds 587 106 142 205 104 70 206 115 135 83 181 76 90 115 39 105 95 96 112 107 17 639 248 77 280
Character h a p e r -r -e t e r , b u t f o r n o w w
Milliseconds 112 73 157 89 108 372 278 184 111 87 89 156 94 112 54 113 173 109 53 84 135 65 42 120 141
Character e u s e d - -d a f -f n i n f o r m a l a
Milliseconds 90 150 145 83 102 148 148 274 120 165 189 168 315 163 152 128 78 181 134 118 108 109 123 54 269
Character p p r o a c h s o y o u w i l l s e e h
Milliseconds 120 162 64 129 90 146 132 114 267 93 111 136 75 104 58 103 91 124 169 98 129 106 157 53 165
Character o w t h e y l e a d n a t u r a l l y t o
Milliseconds 90 99 136 140 93 103 121 103 144 92 181 65 134 145 153 151 130 97 114 178 111 64 116 134 84
Character t h e m a i n i d e a o f - -f -o -a - a
Milliseconds 108 104 37 152 112 180 89 130 91 70 148 103 71 169 0 138 100 84 256 145 155 121 219 236 95
Character o d -d f t h i s c h a p t e r , t e l i m
Milliseconds 121 228 412 118 85 154 102 80 89 101 129 99 82 135 137 97 91 150 89 109 174 106 99 130 47
Character i -i -m -i -l - -e h e l i m i y . - -. -y t . T h
Milliseconds 134 272 139 94 117 117 113 359 136 126 97 101 101 141 212 119 136 262 137 186 296 186 113 242 89
Character e u -u w -w i d e a o f a l i m i t p l a
Milliseconds 110 230 391 130 119 441 210 110 53 162 18 146 90 60 133 95 132 132 120 134 85 179 179 108 138
Character y s a d o -o -d f o u n d a t i o n a l r o l
Milliseconds 206 140 121 118 141 211 88 370 120 192 126 138 60 160 91 150 57 92 78 87 118 69 82 109 182
Character e t h r o u g h o u t c a l c l u -u -l u l u s
Milliseconds 91 110 139 123 107 111 66 101 100 181 135 146 111 156 113 89 186 155 172 259 140 204 105 136 78
Character .
Milliseconds 196
WPM Timing
Seconds WPM
2.74 52.58
5.48 72.3
8.22 58.43
10.95 64.63
13.69 68.36
16.43 75.95
19.17 78.88
21.91 78.88
24.65 76.93
27.39 77.12
30.12 79.67
32.86 78.88
35.6 81.57
38.34 81.69
41.08 77.12
43.82 75.04
46.55 75.78
49.29 75.95
52.03 77.26
54.77 78
57.51 79.08
60.25 79.67
62.99 80.78
65.72 81.8
68.46 82.38
71.2 81.57
73.94 81.8
76.68 82.16
79.42 80.54
82.16 80.48
84.89 79.58
87.63 79.29
90.37 79.67
93.11 78.36
95.85 78.62
98.59 77.9
101.32 77.69
104.06 77.03
106.8 77.64
109.54 77.01
112.28 77.49
115.02 78.04
117.76 78.26
120.49 77.48
123.23 76.73
125.97 76.02
128.71 75.71
131.45 75.41
134.19 76.1
136.93 75.72