André (garator)

Race #16

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Official speed 74.48 wpm (139.21 seconds elapsed during race)
Without ending ping 74.64 wpm (303 ms delay sending score to TypeRacer’s server)
Timerless 74.72 wpm (145 ms elapsed before first character typed; 138.76 seconds elapsed during race)
Timerless minus one 74.63 wpm, ignoring the first character typed
Race Start October 25, 2024 11:24:58am UTC
Race Finish October 25, 2024 11:27:17am UTC
Outcome No win (2 of 2)
Opponents 1. husjuky (105.41 wpm)
Accuracy 96.9%
Points 201.09
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 taa tool that helps us understand how a change in one quantity is related to a chagnnge in anohtther. How does rhethe speed of a falling object change as a function of time? Hwoow does the level of water in a batrrel change as a function of the ammoount of loiiquid poured into it? We see change occurinring in a nearly everything we obeservee in the world and univer,sse, and powerful modersnn unsinstruments help us see more and more. In this section we indttroduce the ideas of average iand instantaneous rates of change, and show that they are closely reallated to the slopes of a fcurve ate a point P ion the curve. We give precise fdevelopments of these important concepts in the next chapter, but for now we use naan informal approach oso wyou will se howe how they lead natruurally to the main idea of this chapter, the limit. The idea of a limit playes a foundational role throughtouout calculus.
Timing
Character C a l c u l u s i s t a -a -t a t o o l t h
Milliseconds 145 292 110 238 154 321 292 143 109 103 104 109 146 81 252 131 46 77 74 72 187 230 143 236 152
Character a t h e l p s u s u n d e r s t a n d h o
Milliseconds 129 75 120 293 71 101 62 71 107 277 106 69 445 76 58 58 115 111 177 114 92 125 124 227 109
Character w a c h a n g e i n o n e q u a n t i t
Milliseconds 53 96 154 104 175 102 95 121 115 85 117 240 89 48 197 72 83 118 246 72 151 190 145 232 327
Character y i s r e l a t e d t o a c h a g n -n -g
Milliseconds 160 175 129 80 123 485 96 104 123 77 174 179 95 122 100 71 114 318 146 93 75 145 207 256 139
Character n g e i n a n o h t -t -h t h e r . H o w d
Milliseconds 147 95 51 135 149 106 60 93 93 97 172 26 285 133 117 113 80 55 274 178 238 173 49 117 134
Character o e s r h e -e -h -r t h e s p e e d o f a
Milliseconds 61 77 152 112 101 197 118 176 150 141 91 161 66 120 149 191 128 133 151 215 219 84 144 169 90
Character f a l l i n g o b j e c t c h a n g e a s
Milliseconds 283 88 71 149 196 50 75 131 160 137 104 109 158 158 124 195 219 98 86 177 95 148 104 147 146
Character a f u n c t i o n o f t i m e ? H w o -o -w
Milliseconds 103 82 231 128 117 153 186 82 173 110 115 275 144 115 133 94 74 94 248 151 329 206 88 188 390
Character o w d o e s t h e l e v e l o f w a t e
Milliseconds 97 92 75 200 70 284 149 150 133 187 76 154 194 124 68 104 51 128 120 75 106 134 100 133 95
Character r i n a b a t -t r r e l c h a n g e a s
Milliseconds 106 105 127 59 98 230 145 217 132 105 258 108 134 87 135 206 215 180 72 93 164 73 157 91 112
Character a f u n c t i o n o f t h e a m m o -o -m
Milliseconds 135 94 89 188 86 69 166 188 59 180 96 83 120 87 89 118 159 65 83 131 121 143 83 315 137
Character o u n t o f l o i -i -o i q u i d p o u r e d
Milliseconds 171 83 226 85 110 138 84 77 112 173 348 192 155 78 120 136 195 162 265 419 49 253 115 271 160
Character i n t o i t ? W e s e e c h a n g e o
Milliseconds 71 85 74 96 99 178 240 170 163 211 245 218 160 120 201 107 115 227 205 78 92 107 70 129 243
Character c c u r i n -n -i r i n g i n a - -a n e a r l
Milliseconds 131 138 117 122 214 102 258 125 117 111 55 83 190 89 87 118 99 136 207 151 213 77 51 94 190
Character y e v e r y t h i n g w e o b e -e s e r v e
Milliseconds 121 191 213 137 76 165 196 210 102 107 138 59 101 89 115 103 265 99 330 261 67 149 112 225 84
Character -e e i n t h e w o r l d a n d u n i v e
Milliseconds 224 312 192 179 126 46 135 167 50 103 127 49 405 288 82 126 394 103 80 83 137 91 132 85 245
Character r , s -s -, s e , a n d p o w e r f u l m o d
Milliseconds 109 130 125 211 139 61 130 60 191 174 105 81 70 207 86 59 147 80 296 177 197 115 120 99 126
Character e r s n -n -s n u n s -s -n -u i n s t r u m e n t s
Milliseconds 136 126 124 191 229 141 160 193 198 54 128 284 141 143 209 63 61 90 164 54 190 84 135 159 85
Character h e l p u s s e e m o r e a n d m o r
Milliseconds 178 293 69 52 65 108 205 49 109 120 209 132 115 114 62 74 48 97 192 96 103 79 122 44 84
Character e . I n t h i s s e c t i o n w e i n d
Milliseconds 62 147 153 360 197 92 114 65 94 64 107 176 163 113 172 53 151 88 74 299 90 96 206 67 82
Character t -t -d t r o d u c e t h e i d e a s o f a
Milliseconds 241 210 134 83 136 58 158 96 101 141 196 105 173 51 149 169 86 95 114 296 150 203 81 83 100
Character v e r a g e i -i a n d i n s t a n t a n e o u
Milliseconds 141 79 157 149 199 89 183 111 222 161 113 93 86 140 65 78 167 68 328 212 234 279 109 199 92
Character s r a t e s o f c h a n g e , a n d s h
Milliseconds 83 131 162 83 140 66 154 113 91 89 102 434 159 70 103 122 72 103 197 232 106 59 90 197 136
Character o w t h a t t h e y a r e c l o s e l y
Milliseconds 98 47 100 122 194 101 82 135 158 177 58 122 161 46 163 66 180 265 72 148 64 174 193 156 188
Character r e a l -l -a l a t e d t o t h e s l o p e s
Milliseconds 256 55 105 100 243 138 57 67 101 188 163 80 134 83 170 166 179 58 111 119 97 186 155 91 150
Character - -s o f a f -f c u r v e a t e -e a p
Milliseconds 127 157 132 110 174 120 69 111 90 205 206 126 95 89 219 59 122 93 113 85 254 169 110 98 247
Character o i n t P i -i o n t h e c u r v e . W e
Milliseconds 171 196 92 113 126 231 164 175 297 134 95 79 142 155 58 106 176 82 114 445 82 113 191 162 236
Character g i v e p r e c i s e f -f d e v e l o p m e
Milliseconds 116 398 105 96 57 92 168 94 68 487 114 97 157 123 297 316 96 79 173 184 203 210 169 219 180
Character n t s o f t h e s e i m p o r t a n t c o
Milliseconds 73 137 88 129 119 75 94 127 178 57 164 186 116 126 109 130 107 76 192 234 142 149 268 248 62
Character n c e p t s i n t h e n e x t c h a p t e
Milliseconds 59 80 66 448 106 116 184 128 77 68 133 158 48 100 173 87 490 82 191 527 231 61 139 160 94
Character r , b u t f o r n o w w e u s e n a -a
Milliseconds 132 165 127 221 137 91 101 177 103 103 154 120 97 144 147 175 122 132 288 62 165 100 192 87 151
Character -n a n i n f o r m a l a p p r o a c h o -o s
Milliseconds 127 92 76 99 338 77 99 145 81 134 140 56 125 110 159 143 131 90 340 242 75 160 186 313 73
Character o w -w y o u w i l l s e h o w -w -o -h - e
Milliseconds 106 70 134 329 143 36 118 109 174 72 185 117 70 98 175 96 177 65 99 176 150 144 167 174 104
Character h o w t h e y l e a d n a t r u -u -r u r a l
Milliseconds 194 83 104 120 201 175 66 136 202 328 61 89 95 111 128 86 95 212 406 162 195 88 94 43 135
Character l y t o t h e m a i n i d e a o f t h
Milliseconds 118 107 151 218 72 126 151 204 67 121 96 120 83 71 146 186 94 90 84 434 179 95 94 131 161
Character i s c h a p t e r , t h e l i m i t . T h
Milliseconds 101 107 263 254 183 74 163 203 158 83 328 106 174 183 73 133 261 196 83 97 243 145 297 241 180
Character e i d e a o f a l i m i t p l a y e -e s
Milliseconds 79 212 90 293 82 146 267 168 72 63 117 91 164 191 98 95 154 279 201 75 82 109 178 259 85
Character a f o u n d a t i o n a l r o l e t h r o
Milliseconds 81 155 109 249 199 185 230 68 225 224 107 176 100 434 214 119 210 107 201 108 99 135 183 213 375
Character u g h t o u -u -o -t o u t c a l c u l u s .
Milliseconds 90 196 123 123 155 98 190 148 277 171 84 66 96 247 53 100 134 120 249 219 79 195
WPM Timing
Seconds WPM
2.78 56.03
5.57 71.12
8.35 79.02
11.14 78.66
13.92 79.31
16.7 76.15
19.49 74.5
22.27 75.97
25.06 77.1
27.84 76.72
30.63 76.02
33.41 76.86
36.19 77.91
38.98 78.2
41.76 76.15
44.55 75.97
47.33 75.55
50.11 75.67
52.9 75.31
55.68 74.78
58.47 74.92
61.25 74.25
64.03 73.65
66.82 75.25
69.6 75.69
72.39 75.76
75.17 75.83
77.95 76.04
80.74 76.54
83.52 76.86
86.31 76.89
89.09 76.51
91.88 75.89
94.66 75.94
97.44 75.74
100.23 76.03
103.01 76.07
105.8 75.88
108.58 76.15
111.36 76.18
114.15 75.8
116.93 75.33
119.72 75.08
122.5 75.33
125.28 75.38
128.07 75.24
130.85 75.38
133.64 75.07
136.42 74.86
139.21 74.48