Just a potato (quocbinhgt3007)

Race #9382

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Official speed 84.90 wpm (122.12 seconds elapsed during race)
Without ending ping 85.07 wpm (237 ms delay sending score to TypeRacer’s server)
Timerless 85.36 wpm (418 ms elapsed before first character typed; 121.47 seconds elapsed during race)
Timerless minus one 85.26 wpm, ignoring the first character typed
Race Start April 26, 2024 3:48:47am UTC
Race Finish April 26, 2024 3:50:49am UTC
Outcome No win (3 of 4)
Accuracy 94.6%
Points 229.24
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 too,d ll that helps us understand how a chane ige in one qunaantiyti ty is r ealelated to ca a a chchanve inge in anothe.r Hr. How coedoes the speed of a falling obnjeject hchange a sa s a function of time? How does the level of water ina a barrel change as a function of the amount of liquid puroruediured into it? We see change occuring irin ig in knnearly efvverything we observe in the word and world an dd univreserrse, and power frful modern instruments thhelp use e see more and more. In this section we introduce the ideas of average and insstantaneous rates of change, and show that they are closely related to the slope of a cruvurve a at t a point P on the curseve. We give prescise developemements of thse sese important concepts in the next chpaapeteter, but for now e uwe use an infroormal approach dsoso you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limite pla playas s af foudndational role thougroughout calculus.
Timing
Character C a l c u l u s i s a t o o , d - -d l -l -,
Milliseconds 418 134 17 149 74 113 138 104 109 323 84 62 94 54 97 78 155 140 81 89 190 257 209 251 131
Character l t h a t h e l p s u s u n d e r s t a n
Milliseconds 202 27 104 69 76 65 41 42 126 18 208 14 181 85 110 92 174 161 57 136 96 96 75 79 83
Character d h o w a c h a n e i -i - -e g e i n o
Milliseconds 102 41 102 61 41 81 106 51 127 104 122 79 119 110 133 264 150 127 82 35 56 66 78 100 49
Character n e q u n a -a -n a n t i y t i - -i -t -y t y i
Milliseconds 116 83 40 243 88 153 42 416 136 98 71 80 83 150 93 113 89 173 137 144 135 84 99 72 68
Character s r e a l -l -a -e - e l a t e d t o c a -
Milliseconds 69 48 147 0 55 110 8 295 130 163 118 62 125 100 52 48 162 85 116 102 59 122 208 145 76
Character -a -c a a c h -c -h -a - c h a n v e i n -n -i - -e
Milliseconds 143 136 111 69 115 87 137 88 241 0 129 0 98 94 94 101 131 36 85 93 68 248 133 155 164
Character -v g e i n a n o t h e . r H -H - -r -. r . H
Milliseconds 118 85 11 56 137 102 35 138 91 119 130 54 117 94 33 131 98 250 151 138 120 73 125 58 127
Character o w c o e -e -o -c d o e s t h e s p e e d o
Milliseconds 84 113 93 151 49 128 207 147 128 77 108 64 102 73 68 83 42 80 77 93 60 134 147 69 74
Character f a f a l l i n g o b n j e -e -j -n j e c t
Milliseconds 69 40 81 81 107 115 168 132 83 81 54 50 100 257 0 87 62 279 144 124 154 12 154 148 23
Character h -h c h a n g e a s a - -a -s - s a f u n
Milliseconds 245 291 94 96 114 89 72 67 67 83 98 59 52 69 287 138 151 139 56 87 68 63 161 155 139
Character c t i o n o f t i m e ? H o w d o e s t
Milliseconds 53 107 46 59 81 65 106 68 26 123 44 161 24 283 120 155 57 104 75 109 83 69 120 17 114
Character h e l e v e l o f w a t e r i n a - -a
Milliseconds 94 17 84 123 69 151 54 133 52 152 91 34 551 188 72 78 109 17 112 123 121 253 210 156 50
Character a b a r r e l c h a n g e a s a f u n c
Milliseconds 231 79 110 133 137 141 109 142 66 121 83 104 118 34 90 72 79 115 16 187 98 99 73 161 93
Character t i o n o f t h e a m o u n t o f l i q
Milliseconds 125 25 75 56 60 127 90 39 129 50 65 83 145 22 138 91 159 61 56 95 67 49 72 111 176
Character u i d p u r -r -u o r u e d i -i -d -e -u -r u r e d
Milliseconds 90 51 133 98 202 181 130 193 145 451 90 0 43 149 77 238 148 140 136 241 204 58 184 216 77
Character i n t o i t ? W e s e e c h a n g e o c
Milliseconds 109 98 75 67 116 51 77 178 113 622 201 141 101 69 118 69 151 81 117 73 98 66 75 71 79
Character c u r i n g i -i - -g -n -i r i n i -i - g i n
Milliseconds 134 107 75 101 82 17 67 58 281 143 136 147 109 83 104 66 57 83 397 124 112 79 89 130 128
Character k n -n -k n e a r l y e f v -v -f v e r y t h i n g
Milliseconds 149 35 266 115 143 50 81 61 65 85 72 72 205 252 195 121 29 143 67 28 108 73 42 117 24
Character w e o b s e r v e i n t h e w o r d a
Milliseconds 34 141 56 81 164 91 148 100 82 183 101 85 71 83 38 74 66 40 79 92 89 55 132 56 83
Character n d -a -n -d - -w -o -r -d - w o r l d a n d -d - d
Milliseconds 100 52 45 204 0 0 0 143 0 0 0 0 225 106 300 108 107 71 163 79 24 157 263 124 107
Character u n i v r -r e s e r -r -e -s r s e , a n d p o
Milliseconds 45 64 155 76 79 204 310 127 117 56 59 197 152 124 24 110 63 81 81 90 76 34 48 93 130
Character w e r - -r f -f r f u l m o d e r n i n s t r
Milliseconds 63 51 82 48 474 131 183 262 155 140 71 101 153 105 135 58 134 70 52 101 81 82 88 77 346
Character u m e n t s t h -h -t h e l p u s e e -e - -e
Milliseconds 119 157 101 119 51 171 60 145 96 332 117 284 67 67 161 97 71 88 66 52 119 277 135 124 53
Character s e e m o r e a n d m o r e . I n t h i
Milliseconds 63 61 132 67 102 119 64 23 44 115 87 80 58 43 132 45 38 91 44 141 126 59 113 17 76
Character s s e c t i o n w e i n t r o d u c e t h
Milliseconds 93 50 124 118 198 111 64 58 53 93 190 122 27 200 72 89 125 56 128 87 87 129 60 72 89
Character e i d e a s o f a v e r a g e a n d i n
Milliseconds 28 44 138 65 162 145 107 61 111 71 73 122 135 458 118 124 96 102 71 83 93 65 74 77 84
Character s s -s t a n t a n e o u s r a t e s o f c h
Milliseconds 54 123 481 61 95 74 144 242 158 331 116 60 47 104 165 108 67 85 118 152 165 97 67 126 80
Character a n g e , a n d s h o w t h a t t h e y
Milliseconds 103 91 51 144 91 97 67 92 43 77 73 84 37 96 35 115 99 68 52 24 116 58 116 75 101
Character a r e c l o s e l y r e l a t e d t o t h
Milliseconds 152 80 26 58 135 76 168 37 41 104 112 138 80 76 144 15 268 79 143 86 104 82 70 85 116
Character e s l o p e o f a c r u v -v -u -r u r v e
Milliseconds 152 511 119 110 155 116 64 59 112 92 73 85 82 158 142 123 93 205 136 121 181 91 163 98 75
Character a a t - -t -a - t a p o i n t P o n t
Milliseconds 93 124 40 108 167 102 154 137 162 71 59 101 73 75 114 103 149 84 52 188 126 94 79 135 99
Character h e c u r s e -e -s v e . W e g i v e p r e
Milliseconds 77 83 17 156 71 105 151 94 349 119 33 71 119 93 106 111 89 68 100 70 78 71 240 188 88
Character s -s c i s e d e v e l o p e m e -e -m -e m e n t s
Milliseconds 251 267 81 135 152 67 109 111 131 131 114 47 194 113 122 104 107 259 129 106 168 31 150 12 145
Character o f t h s e s -s - -e -s e s e i m p o r t a
Milliseconds 51 102 90 46 116 41 114 40 86 91 261 137 146 128 81 113 68 53 45 152 121 131 120 150 409
Character n t c o n c e p t s i n t h e n e x t c
Milliseconds 152 66 111 167 60 79 85 142 91 91 125 66 90 95 37 86 47 39 101 63 47 197 204 54 315
Character h p a -a -p a p e t e -e -t -e t e r , b u t f o r
Milliseconds 83 273 95 186 111 109 76 78 80 144 178 136 116 59 25 119 66 116 73 79 75 32 166 110 81
Character n o w e u -u -e - w e u s e a n i n f r
Milliseconds 77 49 48 56 82 20 192 86 226 123 0 153 65 58 108 66 69 56 109 73 85 85 88 79 149
Character o -o -r o r m a l a p p r o a c h d s o -d -s -o s
Milliseconds 79 360 116 169 59 109 86 81 26 140 73 116 63 121 92 122 95 170 169 42 90 277 0 0 197
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 70 95 82 42 102 4 76 79 154 136 32 49 69 130 127 100 35 555 94 150 34 135 20 102 52
Character e a d n a t u r a l l y t o t h e m a i n
Milliseconds 69 131 115 52 79 89 100 145 109 147 57 133 87 51 118 84 65 97 71 74 44 156 140 104 114
Character i d e a o f t h i s c h a p t e r , t h
Milliseconds 51 121 78 145 71 85 148 100 51 110 46 83 53 58 165 86 117 48 108 143 65 58 82 76 46
Character e l i m i t . T h e i d e a o f a l i
Milliseconds 75 81 85 105 163 147 118 124 114 93 92 31 63 165 144 404 107 116 123 63 53 78 112 261 115
Character m i t e p l a -a -l -p - -e p l a y a s - -s -a s
Milliseconds 155 129 57 54 57 81 128 95 165 138 147 143 141 101 116 118 100 36 105 151 13 201 144 136 67
Character a f -f f o u d -d n d a t i o n a l r o l e
Milliseconds 96 115 39 407 140 122 79 51 190 368 153 62 123 70 83 18 82 196 101 34 93 74 141 57 53
Character t h o u g -g -u -o r o u g h o u t c a l c u l u s
Milliseconds 99 34 39 178 70 205 131 127 69 104 62 119 16 113 75 24 60 160 109 123 133 87 102 131 97
Character .
Milliseconds 63
WPM Timing
Seconds WPM
2.44 83.52
4.88 76.15
7.33 88.44
9.77 82.3
12.21 75.66
14.65 72.88
17.1 67.38
19.54 68.17
21.98 71.51
24.42 72.22
26.87 71.02
29.31 74.93
31.75 77.48
34.19 77.21
36.64 81.23
39.08 80.76
41.52 78.61
43.96 79.16
46.41 77.58
48.85 76.89
51.29 79.08
53.73 77.94
56.18 76.26
58.62 76.15
61.06 77.24
63.5 76.15
65.94 78.61
68.39 80.19
70.83 80.81
73.27 80.9
75.71 82.89
78.16 84.14
80.6 83.82
83.04 82.95
85.48 82.96
87.93 83.11
90.37 82.86
92.81 82.62
95.25 83.4
97.7 82.54
100.14 83.16
102.58 83.29
105.02 83.52
107.47 84.19
109.91 85.16
112.35 85.87
114.79 85.41
117.24 84.55
119.68 84.83
122.12 84.9