Max (xdevilwastaken)

Race #1077

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Official speed 84.24 wpm (123.08 seconds elapsed during race)
Without ending ping 84.48 wpm (208 ms delay sending score to TypeRacer’s server)
Timerless 84.76 wpm (405 ms elapsed before first character typed; 122.46 seconds elapsed during race)
Timerless minus one 84.66 wpm, ignoring the first character typed
Race Start April 15, 2024 4:24:20pm UTC
Race Finish April 15, 2024 4:26:24pm UTC
Outcome No win (4 of 5)
Opponents 1. morocco01 (127.11 wpm)
Accuracy 96.7%
Points 227.44
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 htelps us understand how a change in one quantity is related to a change in anohtether. How does the speed of a falling obejcjecobject change as a function of time? How does the leverl of water n in a barrel change as a function of the amount of liquid opuourdeed into it? We see changge e occurinring in nearly everything we observe in the world and universe, ,anand powerful modern instruments help us see more and more . In this section we intoruroduce the ideas of average indand instantaneous rates of change, and show that hteythey are colosely related to the slpope of a cureve a t a point P on the curve. We give prec cisise develoopments of these important concepts in the next chapter, but for now we suse an informal approach so you will see how they lead naturllally to the main idea of this chapter, the limit. The RThe ideas of a limit plays a foundational role throughtouthroughout calculusl.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 405 349 176 158 119 158 158 97 101 134 165 101 117 83 101 84 174 157 84 82 102 89 52 158 59
Character t -t e l p s u s u n d e r s t a n d h o w
Milliseconds 37 474 155 379 199 126 126 93 221 125 124 135 60 149 63 136 110 79 92 86 87 83 124 54 101
Character a c h a n g e i n o n e q u a n t i t y
Milliseconds 102 121 140 98 91 74 86 113 58 109 146 46 105 108 140 113 143 99 104 149 231 135 153 102 76
Character i s r e l a t e d t o a c h a n g e i n
Milliseconds 287 147 106 97 49 248 71 99 88 176 50 124 58 102 69 97 99 56 115 62 91 139 101 113 145
Character a n o h t e -e -t -h t h e r . H o w d o e s
Milliseconds 31 112 76 113 125 14 201 233 132 144 103 81 164 71 121 84 184 129 64 112 123 162 50 179 86
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 102 62 100 47 125 129 88 150 154 52 165 86 80 141 53 284 68 86 164 65 182 107 91 213 207
Character e j c -c -j j e c -o -b -e -j -e -c o b j e c t c h a n
Milliseconds 156 109 153 162 128 140 78 163 411 0 0 0 0 0 334 126 235 79 194 145 57 179 70 84 68
Character g e a s a f u n c t i o n o f t i m e ?
Milliseconds 93 106 126 81 68 72 146 66 151 55 146 81 144 13 73 137 60 143 98 51 370 99 164 74 177
Character H o w d o e s t h e l e v e r -r l o f
Milliseconds 205 227 145 124 144 120 121 108 94 54 128 40 122 58 92 52 160 130 79 271 174 73 133 49 131
Character w a t e r n - -n i n a b a r r e l c h a
Milliseconds 147 206 119 150 81 95 276 146 280 116 287 165 135 133 23 165 76 112 184 70 86 75 101 93 134
Character n g e a s a f u n c t i o n o f t h e
Milliseconds 99 52 228 172 167 81 64 141 85 105 80 152 80 149 33 61 121 80 117 95 62 133 42 123 26
Character a m o u n t o f l i q u i d o -o p u -u o u r
Milliseconds 145 83 146 80 163 96 98 135 66 93 175 64 226 82 152 204 103 189 335 190 93 428 168 98 133
Character d e -e -d e d i n t o i t ? W e s e e c h
Milliseconds 167 178 175 146 71 154 41 101 126 130 96 101 180 70 242 123 167 265 101 122 75 148 61 108 74
Character a n g g e - -e -g e o c c u r i n -n -i r i n g
Milliseconds 118 86 53 69 112 124 214 149 148 97 81 116 120 160 59 136 73 138 258 140 81 103 133 106 69
Character i n n e a r l y e v e r y t h i n g w e o
Milliseconds 153 148 38 158 90 100 70 132 173 66 122 173 146 73 86 145 80 148 134 70 102 81 68 78 183
Character b s e r v e i n t h e w o r l d a n d u
Milliseconds 111 197 71 91 217 132 79 77 135 103 47 118 72 73 111 62 115 75 118 62 135 56 93 83 143
Character n i v e r s e , , a n -n -a -, a n d p o w e r f
Milliseconds 222 204 113 127 109 152 318 439 70 30 107 90 331 148 144 129 63 116 13 101 99 7 101 171 310
Character u l m o d e r n i n s t r u m e n t s h e l
Milliseconds 115 145 84 139 167 65 160 67 71 122 113 158 107 120 177 102 168 87 118 113 149 94 142 133 44
Character p u s s e e m o r e a n d m o r e - .
Milliseconds 159 115 145 116 65 121 70 160 136 95 141 67 41 69 112 67 95 76 103 149 80 31 199 357 190
Character I n t h i s s e c t i o n w e i n t o r
Milliseconds 114 192 167 89 103 65 127 86 80 204 110 235 141 68 39 161 70 129 69 80 185 123 76 96 91
Character u -u -r -o r o d u c e t h e i d e a s o f a
Milliseconds 128 249 154 147 70 105 97 91 95 192 70 131 54 95 54 123 68 170 104 110 101 121 119 70 108
Character v e r a g e i n d -d -i -n a n d i n s t a n t a
Milliseconds 239 115 85 134 123 136 74 110 153 100 218 238 0 387 82 97 80 127 134 69 92 111 161 387 153
Character n e o u s r a t e s o f c h a n g e , a n
Milliseconds 228 74 211 87 464 88 180 92 135 91 229 56 126 59 64 139 56 130 48 38 179 125 75 74 100
Character d s h o w t h a t h t e y -h -t -e -y t h e y
Milliseconds 81 61 296 76 147 46 98 92 79 70 68 42 189 16 189 34 331 0 0 0 182 41 128 53 80
Character a r e c o -o l o s e l y r e l a t e d t o
Milliseconds 108 42 97 98 127 75 341 194 159 70 63 216 181 71 110 72 105 134 74 93 185 47 150 37 273
Character t h e s l p -p o p e o f a c u r e -e v e
Milliseconds 155 77 109 32 172 81 199 433 234 153 140 113 128 100 63 91 94 259 103 115 91 278 70 145 60
Character a - t a p o i n t P o n t h e c u r
Milliseconds 133 139 475 76 109 94 86 132 82 58 178 82 68 181 83 111 139 70 124 74 109 63 137 57 111
Character v e . W e g i v e p r e c c i s -s -i -c - i
Milliseconds 254 106 101 96 160 235 74 93 109 87 108 68 144 56 46 200 23 54 21 117 227 139 156 120 165
Character s e d e v e l o o -o p m e n t s o f t h e s
Milliseconds 90 25 88 95 170 149 136 90 167 582 332 159 243 167 424 103 163 39 215 96 102 102 81 90 201
Character e i m p o r t a n t c o n c e p t s i n t
Milliseconds 83 40 103 174 108 69 83 197 75 145 98 97 262 89 169 93 174 169 92 154 91 125 136 81 160
Character h e n e x t c h a p t e r , b u t f o r
Milliseconds 70 107 53 109 49 199 167 149 253 84 83 108 118 124 106 115 78 85 82 127 52 137 84 97 37
Character n o w w e s -s u s e a n i n f o r m a l
Milliseconds 118 139 120 30 162 68 82 180 315 131 104 16 79 138 61 101 186 505 110 113 110 160 93 97 89
Character a p p r o a c h s o y o u w i l l s e e
Milliseconds 235 91 148 93 85 125 141 104 90 70 101 60 128 127 72 44 83 97 165 143 92 113 42 153 67
Character h o w t h e y l e a d n a t u r l l -l -l a l
Milliseconds 125 138 71 50 134 59 118 52 70 125 32 100 84 87 67 132 107 129 110 90 162 268 119 53 118
Character l y t o t h e m a i n i d e a o f t h
Milliseconds 157 222 77 86 74 75 66 84 85 58 147 80 119 166 119 252 79 149 100 97 164 111 73 135 36
Character i s c h a p t e r , t h e l i m i t . T $h
Milliseconds 152 48 91 113 76 98 79 111 114 100 114 59 125 67 106 48 101 55 188 154 66 132 82 175 88
Character e -h -e - R -R T h e i d e a s - -s o f a
Milliseconds 89 70 473 0 0 508 442 274 103 108 64 136 32 181 114 119 97 347 144 60 140 46 97 79 81
Character l i m i t p l a y s a f o u n d a t i o n a
Milliseconds 165 132 207 158 80 91 81 146 113 70 111 103 98 90 107 86 52 345 104 214 92 123 36 205 108
Character l r o l e t h r o u g h t o u -u -t -h -r -o -u -g -h
Milliseconds 85 93 182 101 160 72 78 113 69 140 6 105 113 105 119 68 56 319 168 0 0 0 0 0 0
Character -t -o t h r o u g h o u t c a l c u l u s l -l .
Milliseconds 0 0 606 69 134 72 62 80 102 158 51 104 121 224 115 78 126 90 238 105 143 725 716 229
WPM Timing
Seconds WPM
2.46 73.13
4.92 70.69
7.38 84.5
9.85 88.97
12.31 93.6
14.77 90.19
17.23 92.63
19.69 85.31
22.15 85.04
24.62 86.29
27.08 86.86
29.54 84.5
32 86.25
34.46 88.79
36.92 86.13
39.38 85.01
41.85 84.31
44.31 84.23
46.77 85.18
49.23 86.53
51.69 84.96
54.15 85.53
56.62 86.27
59.08 86.33
61.54 86.19
64 86.81
66.46 85.58
68.92 85.14
71.38 85.9
73.85 85.96
76.31 86.02
78.77 85.62
81.23 85.09
83.69 85.6
86.15 85.38
88.62 84.09
91.08 84.72
93.54 84.93
96 85.63
98.46 85.31
100.92 85.97
103.38 86.82
105.85 86.73
108.31 87.42
110.77 86.56
113.23 86.05
115.69 86.3
118.15 85.82
120.62 85.46
123.08 84.24