T T (turtletown)

Race #2776

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Official speed 78.72 wpm (131.71 seconds elapsed during race)
Without ending ping 78.85 wpm (218 ms delay sending score to TypeRacer’s server)
Timerless 79.00 wpm (250 ms elapsed before first character typed; 131.24 seconds elapsed during race)
Timerless minus one 78.91 wpm, ignoring the first character typed
Race Start December 27, 2024 6:16:13pm UTC
Race Finish December 27, 2024 6:18:25pm UTC
Outcome No win (5 of 5)
Opponents 1. salahf5 (99.91 wpm)
2. white_hat_ (84.30 wpm)
4. johnzaia (82.06 wpm)
Accuracy 94.6%
Points 212.55
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 understnad hand how a chngange in one quantituyy is related to a changew in in another. How deosoes the speed of a falling object change as a fucnction of time? How does the level fo wof water in a barrel change as a function of the amonunt of luiqudi i pid pourded into it ?? We see chanceege cococcusingrring in rnrealearly everythign wng we observe in the wrodlorld and universe, and powerful modern instruments help us eesee more and more. In this section we indtroudduce the iedeas of eaverage adnd instantaneous rates of schange, snaand show that heythyeey are closely relationed to tehhe slope of a curve at ta ppoint P on the curve. We give precise developemments of these important concepts in the next chapter, but for now we use an infiormal paappraocoach so youw i will see how they ilead nataurally to the main aidea of this chapter, the mlimit. The idididea of a limit play s a s 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 250 201 135 111 94 143 136 164 36 97 101 82 121 17 220 320 149 141 73 76 69 35 98 15 85
Character e l p s u s u n d e r s t n a d h -h - -d -a -n
Milliseconds 122 74 155 132 0 167 266 115 189 144 35 149 97 153 187 82 15 132 75 128 227 121 148 144 144
Character a n d h o w a c h n g -g -n a n g e i n o
Milliseconds 102 135 29 15 142 120 25 116 67 78 188 123 163 81 283 102 77 152 46 139 40 107 102 85 86
Character n e q u a n t i t u y -y -u y i s r e l a t e
Milliseconds 114 68 29 238 74 171 150 152 49 142 230 0 379 250 184 49 176 191 71 176 84 120 102 117 113
Character d t o a c h a n g e w i n -n -i - -w i n
Milliseconds 136 67 52 111 116 132 171 117 100 98 81 84 158 4 22 85 118 296 114 143 146 101 166 249 101
Character a n o t h e r . H o w d e o s -s -o -e o e s t
Milliseconds 87 111 100 16 121 46 67 87 62 174 108 18 186 80 139 13 87 358 122 151 173 61 100 97 87
Character h e s p e e d o f a f a l l i n g o b j
Milliseconds 67 52 66 82 164 84 135 151 97 116 52 134 81 83 147 154 81 138 230 119 42 72 155 127 161
Character e c t c h a n g e a s a f u c -c n c t i o
Milliseconds 42 147 177 61 119 79 70 128 70 146 70 52 144 51 118 54 140 192 355 376 167 49 157 43 151
Character n o f t i m e ? H o w d o e s t h e l
Milliseconds 101 60 77 59 101 107 110 117 52 206 115 187 193 80 74 108 51 86 98 67 68 68 82 38 161
Character e v e l f o w -w - -o -f o f w a t e r i n
Milliseconds 53 162 136 52 83 100 31 151 102 180 131 137 144 190 50 67 131 116 122 114 85 33 83 130 92
Character a b a r r e l c h a n g e a s a f u n c
Milliseconds 114 26 204 215 139 213 130 73 75 74 95 87 67 80 103 113 72 162 134 52 115 100 113 140 45
Character t i o n o f t h e a m o n -n u n t o f l
Milliseconds 235 37 179 118 68 114 18 149 40 79 29 144 99 74 89 134 436 128 150 79 47 119 58 79 119
Character u -u i q u d i - -i -d i p i -i -p - d p o u r d
Milliseconds 274 341 173 74 101 117 34 154 273 127 148 207 124 65 172 302 126 138 47 101 142 430 128 184 265
Character -d e d i n t o i t ? -? - ? W e s e e c
Milliseconds 238 50 132 82 81 115 79 38 90 100 62 351 0 436 113 252 112 288 213 103 202 170 128 101 127
Character h a n c e -e -c e -e g e c o c -c -o -c o c c u s i n
Milliseconds 91 79 88 130 235 235 114 134 531 85 121 43 155 17 162 302 116 130 169 72 148 62 133 86 156
Character g -g -n -i -s r r i n g i n r -r n r e a l -l -a -e -r
Milliseconds 80 244 117 153 136 46 116 85 131 54 32 113 104 82 98 266 152 21 78 50 85 351 130 145 140
Character e a r l y e v e r y t h i g n w -w - -n -g n g
Milliseconds 86 87 61 84 186 65 103 171 116 96 98 98 83 121 95 31 106 95 218 115 151 150 287 64 94
Character w e o b s e r v e i n t h e w r o d l -l -d
Milliseconds 111 60 111 211 146 69 131 69 216 165 101 267 132 66 68 111 16 158 36 189 23 154 63 268 130
Character -o -r o r l d a n d u n i v e r s e , a n d
Milliseconds 136 166 176 83 114 64 82 80 106 58 53 102 148 105 42 139 80 351 70 172 59 85 104 87 37
Character p o w e r f u l m o d e r n i n s t r u m e n
Milliseconds 102 152 29 100 104 214 68 158 97 171 114 50 149 83 59 86 122 112 52 115 134 43 232 104 88
Character t s h e l p u s e e -e -e s e e m o r e a
Milliseconds 64 120 34 120 126 16 172 102 218 103 86 105 167 282 121 84 160 124 80 101 97 84 47 52 132
Character n d m o r e . I n t h i s s e c t i o n
Milliseconds 66 57 111 116 102 114 36 133 134 216 208 93 20 414 113 33 139 49 162 140 165 44 120 217 84
Character w e i n d -d t r o u d -d -u d u c e t h e i e
Milliseconds 100 80 101 101 105 61 435 48 148 30 140 43 366 111 84 94 104 171 73 70 103 16 131 70 62
Character -e d e a s o f e -e a v e r a g e a d -d n d
Milliseconds 305 43 167 101 117 71 80 81 84 120 255 52 93 166 71 179 276 124 83 51 163 317 149 71 3
Character i n s t a n t a n e o u s r a t e s o f s -s
Milliseconds 126 104 67 133 294 147 125 185 265 635 82 117 116 47 143 203 74 99 157 54 88 79 38 190 287
Character c h a n g e , s n a -a -n -s a n d s h o w t h
Milliseconds 80 84 366 132 96 136 67 80 18 151 31 311 120 149 107 112 79 20 173 61 133 50 85 77 38
Character a t h e y -y -e -h t h y e -e -y e y a r e c l o
Milliseconds 66 102 32 134 20 166 296 118 134 82 96 104 74 304 111 64 101 65 67 85 62 90 163 82 149
Character s e l y r e l a t i o n -n -o -i e d t o t e h
Milliseconds 55 110 318 221 57 208 53 95 111 94 11 167 117 267 118 126 40 165 84 204 65 126 190 167 0
Character -h -e h e s l o p e o f a c u r v e a t
Milliseconds 338 117 146 46 84 67 141 180 203 159 69 122 127 32 173 15 495 68 106 193 151 84 97 117 103
Character t -t a p -p p o i n t P o n t h e c u r v
Milliseconds 98 422 97 99 211 306 237 185 142 135 19 114 155 203 203 125 67 81 83 48 51 135 168 131 334
Character e . W e g i v e p r e c i s e d e v e l o
Milliseconds 207 110 32 302 166 103 114 83 100 119 67 113 66 67 209 310 130 153 83 138 166 128 123 38 178
Character p e m -m -e m e n t s o f t h e s e i m p o r
Milliseconds 147 234 100 402 114 151 96 90 27 169 86 126 80 73 155 34 91 152 116 0 100 175 379 192 59
Character t a n t c o n c e p t s i n t h e n e x t
Milliseconds 149 80 67 83 82 139 81 133 85 149 98 103 266 116 85 147 69 67 99 116 18 156 43 182 134
Character c h a p t e r , b u t f o r n o w w e
Milliseconds 81 134 89 61 206 183 114 70 100 59 101 68 102 64 156 130 38 75 154 99 77 208 148 101 150
Character u s e a n i n f i -i o r m a l p a -a -p a p p
Milliseconds 514 149 166 87 101 76 103 172 118 113 99 428 147 81 77 141 35 126 206 128 215 101 96 105 137
Character r a o c -c -o -a o a c h s o y o u w i -i - -
Milliseconds 126 117 151 50 250 119 182 200 100 167 71 127 38 141 78 124 120 41 177 84 151 247 120 132 302
Character -w w i l l s e e h o w t h e y i -i l e a
Milliseconds 118 112 81 68 169 143 93 25 188 203 98 102 97 48 100 71 52 75 90 33 135 247 158 55 103
Character d n a t a -a u r a l l y t o t h e m a i n
Milliseconds 81 56 112 135 165 183 378 162 59 69 85 130 133 52 117 47 70 384 67 81 71 115 131 82 105
Character a -a i d e a o f t h i s c h a p t e r ,
Milliseconds 60 176 241 155 32 166 103 110 169 70 83 78 71 203 79 72 166 82 147 148 118 137 86 44 64
Character t h e m -m l i m i t . T h e i -i d i d -d -i -d
Milliseconds 82 69 36 63 119 451 163 138 389 143 104 96 89 241 153 48 73 94 278 42 331 89 145 118 200
Character i d e a o f a l i m i t p l a y s a
Milliseconds 249 65 151 102 130 150 82 100 18 138 66 154 149 167 63 95 90 170 57 119 83 17 96 57 99
Character - -a - -s - s a f o u n d a t i o n a l r o l
Milliseconds 231 123 158 151 141 97 81 49 178 383 90 114 155 46 118 31 50 154 114 55 77 96 138 116 150
Character e t h r o u g h o u t c a l c u l u s .
Milliseconds 0 105 112 49 85 49 50 106 46 116 69 30 83 154 132 30 212 47 143 134 119 68
WPM Timing
Seconds WPM
2.63 86.56
5.27 91.11
7.9 78.96
10.54 80.86
13.17 82
15.8 80.48
18.44 80.7
21.07 83.71
23.71 83.52
26.34 87.47
28.98 86.14
31.61 88.07
34.24 88.66
36.88 84.6
39.51 82.61
42.15 80.58
44.78 78.25
47.41 76.94
50.05 75.77
52.68 74.94
55.32 74.19
57.95 76.2
60.59 77.84
63.22 78.2
65.85 78.9
68.49 78.32
71.12 78.79
73.76 78.58
76.39 78.39
79.02 78.51
81.66 77.89
84.29 77.44
86.93 77.58
89.56 76.77
92.2 77.05
94.83 77.44
97.46 77.2
100.1 77.92
102.73 78.61
105.37 78.93
108 78.44
110.63 77.99
113.27 77.87
115.9 77.86
118.54 78.15
121.17 78.53
123.8 77.74
126.44 78.01
129.07 77.91
131.71 78.72