geckez (giraffex)

Race #556

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Official speed 81.23 wpm (127.64 seconds elapsed during race)
Without ending ping 81.35 wpm (181 ms delay sending score to TypeRacer’s server)
Timerless 81.57 wpm (348 ms elapsed before first character typed; 127.11 seconds elapsed during race)
Timerless minus one 81.47 wpm, ignoring the first character typed
Race Start March 4, 2024 3:56:39pm UTC
Race Finish March 4, 2024 3:58:47pm UTC
Outcome No win (2 of 4)
Opponents 1. cabbie12 (93.67 wpm)
Accuracy 97.8%
Points 219.31
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 ohow a change in one quantity is related toa 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 functino ofon of the amount of liquid poured into it? We see change occurring in nearly everything we observe in the world and universe, and paowerful modern instruments help ups seem more and more. In theiis section we introduce the ideas of eveaverage and instantatnneous rate s of change, and show that they are closely relatied to the slope of a curve at a point P on the cureve. We give precise developments of theiese importnat ant concpetsepts in the next chatpepter, but for now we use an informal appraooach 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.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 348 179 132 403 129 186 243 134 143 117 102 137 78 119 314 98 152 177 117 58 147 27 102 51 154
Character e l p s u s u n d e r s t a n d o -o h o w
Milliseconds 106 118 151 69 118 179 117 112 126 86 125 149 69 162 171 81 76 114 130 168 373 311 122 100 104
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 75 96 178 92 70 129 101 53 40 119 61 100 133 79 109 41 426 151 205 182 156 101 158 120 99
Character i s r e l a t e d t o a - -a a c h a n g
Milliseconds 173 85 131 87 66 122 116 172 127 193 120 120 50 121 137 408 144 350 103 105 209 37 138 92 132
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 55 33 113 93 96 165 135 208 175 110 78 101 377 261 205 135 92 113 102 121 102 166 31 167 55
Character e s p e e d o f a f a l l i n g o b j e
Milliseconds 35 123 88 115 288 151 170 114 96 75 117 84 102 237 129 112 122 140 74 79 17 135 185 213 93
Character c t c h a n g e a s a f u n c t i o n o
Milliseconds 164 215 94 290 103 90 90 114 51 87 232 148 167 57 88 267 158 86 96 191 57 70 25 121 132
Character f t i m e ? H o w d o e s t h e l e v e
Milliseconds 53 138 107 66 68 84 449 208 317 146 89 151 146 129 91 156 51 175 62 64 88 68 89 177 106
Character l o f w a t e r i n a b a r r e l c h
Milliseconds 61 119 175 119 177 175 164 147 136 85 86 121 91 166 22 125 195 101 163 147 87 116 76 164 90
Character a n g e a s a f u n c t i n o o f -f -o - -o
Milliseconds 86 106 86 85 71 175 112 143 69 78 176 133 115 81 200 95 90 28 106 117 32 354 173 162 162
Character -n o n o f t h e a m o u n t o f l i q u
Milliseconds 151 291 95 101 176 71 136 105 83 119 16 160 72 114 109 199 61 151 397 117 107 100 100 188 155
Character i d p o u r e d i n t o i t ? W e s e e
Milliseconds 193 211 141 630 221 149 117 155 187 105 59 101 66 111 101 116 102 430 169 237 201 138 56 209 174
Character c h a n g e o c c u r r i n g i n n e a r
Milliseconds 88 347 81 83 130 115 45 97 115 258 165 71 133 170 149 91 108 116 77 86 114 147 136 169 122
Character l y e v e r y t h i n g w e o b s e r v e
Milliseconds 97 214 87 231 204 161 74 76 145 56 127 74 79 73 146 202 83 168 270 213 195 79 259 76 106
Character i n t h e w o r l d a n d u n i v e r s e
Milliseconds 56 71 146 0 147 44 96 97 125 127 123 85 89 214 35 134 42 146 67 167 111 102 122 179 177
Character , a n d p a -a o w e r f u l m o d e r n i
Milliseconds 168 118 85 101 98 76 65 88 320 244 83 183 62 232 179 173 116 278 191 121 172 79 119 120 119
Character n s t r u m e n t s h e l p u p -p s s e e m
Milliseconds 90 93 213 82 117 200 105 86 83 165 99 159 115 85 175 132 146 148 331 264 201 156 181 116 161
Character - -m m o r e a n d m o r e . I n t h e
Milliseconds 118 287 139 136 196 40 36 73 96 113 84 100 44 137 147 0 54 160 99 200 191 111 87 128 60
Character i -i -e i s s e c t i o n w e i n t r o d u c
Milliseconds 140 269 109 261 85 87 102 171 161 217 32 102 16 106 76 182 73 86 90 115 91 96 186 117 117
Character e t h e i d e a s o f e v e -e -v -e a v e r
Milliseconds 104 132 148 65 111 83 134 116 160 157 115 104 174 367 107 138 169 192 286 171 153 182 331 205 74
Character a g e a n d i n s t a n t a t n -n -t n e o u s
Milliseconds 186 191 26 483 137 125 116 156 158 76 118 189 143 109 93 202 189 119 335 162 198 311 142 87 176
Character r a t e - s o f c h a n g e , a n d s
Milliseconds 132 159 144 131 59 95 616 300 176 140 79 119 164 97 79 138 90 65 105 133 146 123 104 83 88
Character h o w t h a t t h e y a r e c l o s e l y
Milliseconds 67 227 142 127 88 90 35 109 35 151 76 148 57 60 111 125 66 79 171 84 179 80 159 60 175
Character r e l a t i -i e d t o t h e s l o p e o
Milliseconds 84 92 56 121 159 170 164 329 101 396 111 112 69 66 110 61 112 58 148 82 182 171 479 138 176
Character f a c u r v e a t a p o i n t P o n
Milliseconds 63 114 47 116 144 184 129 240 100 162 109 185 109 50 123 185 143 202 93 58 151 221 161 167 70
Character t h e c u r e -e v e . W e g i v e p r e
Milliseconds 96 51 102 94 42 189 111 132 81 524 99 69 193 166 217 217 95 147 75 158 55 99 190 284 108
Character c i s e d e v e l o p m e n t s o f t h e i
Milliseconds 229 142 188 222 92 185 253 158 94 93 188 119 134 89 147 68 169 117 135 21 112 109 62 124 95
Character -i -e e s e i m p o r t n a t - -t -a -n a n t c
Milliseconds 348 146 40 391 242 146 101 124 149 140 49 157 125 0 159 64 355 181 155 139 136 143 84 77 159
Character o n c p e t s -s -t -e -p e p t s i n t h e n e
Milliseconds 50 70 67 185 54 200 157 209 192 170 174 249 178 346 170 112 111 87 107 82 100 58 78 279 140
Character x t c h a t p e -e -p -t p t e r , b u t f o r
Milliseconds 221 235 100 175 87 90 200 96 194 337 162 148 242 90 129 89 84 122 250 86 96 112 151 98 144
Character n o w w e u s e a n i n f o r m a l a
Milliseconds 84 115 97 56 143 174 193 99 153 53 163 114 114 94 108 118 114 144 95 85 46 146 95 124 115
Character p p r a o -o -a o a c h s o y o u w i l l s
Milliseconds 156 119 106 110 46 302 166 214 51 159 229 140 124 117 118 222 124 70 50 91 99 181 139 75 90
Character e e h o w t h e y l e a d n a t u r a l l
Milliseconds 182 179 16 180 77 259 101 208 47 155 0 96 551 114 186 145 85 195 84 172 120 81 154 80 126
Character y t o t h e m a i n i d e a o f t h i
Milliseconds 189 18 121 108 109 180 86 100 21 136 167 151 135 112 154 141 211 152 51 162 80 92 106 76 134
Character s c h a p t e r , t h e l i m i t . T h e
Milliseconds 109 192 164 87 58 138 132 169 74 74 69 140 70 117 50 257 118 123 165 143 177 84 209 134 135
Character i d e a o f a l i m i t p l a y s a
Milliseconds 125 130 205 174 158 75 109 58 110 190 116 139 140 155 129 111 133 98 129 122 155 100 76 126 81
Character f o u n d a t i o n a l r o l e t h r o u g h
Milliseconds 344 205 104 180 58 93 183 81 106 49 278 158 93 223 101 185 227 201 209 86 133 29 102 111 80
Character o u t c a l c u l u s .
Milliseconds 125 61 70 134 220 120 137 132 147 188 234 158 127
WPM Timing
Seconds WPM
2.55 65.81
5.11 82.26
7.66 79.91
10.21 83.44
12.76 80.85
15.32 83.05
17.87 83.27
20.42 84.61
22.97 85.14
25.53 85.55
28.08 86.75
30.63 88.53
33.19 84.98
35.74 85.62
38.29 83.99
40.84 83.73
43.4 84.34
45.95 84.88
48.5 85.6
51.06 86.02
53.61 85.29
56.16 85.26
58.71 84.21
61.27 84.03
63.82 84.8
66.37 83.53
68.92 82.87
71.48 81.76
74.03 81.05
76.58 82.26
79.14 82.19
81.69 82.26
84.24 82.48
86.79 82.26
89.35 82.06
91.9 82.13
94.45 81.18
97 80.04
99.56 79.79
102.11 79.09
104.66 79.57
107.22 79.58
109.77 79.91
112.32 79.91
114.87 80.23
117.43 80.83
119.98 80.91
122.53 80.99
125.08 81.06
127.64 81.23