iamsincan (iamsincan)

Race #66

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Official speed 85.87 wpm (120.74 seconds elapsed during race)
Without ending ping 85.93 wpm (79 ms delay sending score to TypeRacer’s server)
Timerless 86.63 wpm (987 ms elapsed before first character typed; 119.68 seconds elapsed during race)
Timerless minus one 86.53 wpm, ignoring the first character typed
Race Start October 23, 2023 8:45:33pm UTC
Race Finish October 23, 2023 8:47:34pm UTC
Outcome No win (3 of 4)
Opponents 1. oren132 (92.49 wpm)
4. sekasmeowmix (73.96 wpm)
Accuracy 96.8%
Points 231.85
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 how a change in one quantity is related eto to a change in naanother. ohOHow does the speed of a falling obejject change a s a function of time? Hoew does the level of water in a beareerel change as a functtion ion of the amount of liquid poured into it> ? We see change cooccuring iring in nearly everything we observed in the world and unverseiverse, and powerful modern instrucmments help us see more and more. In this section we intrudoduce the ideas of average and instancetaneous rates of change, and hshow that they are closerly ly realatlated to the slope of a curve at a point IP on th ece curve. WWe give precise developments of these important concepts in the next chapter, but for now we use aan informal approach yso you will see how they lead natutrally to the main idea of this chapter, th elie limtitmt. . 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 987 330 90 317 115 280 105 93 70 144 72 138 52 135 108 76 135 115 82 61 112 36 66 79 118
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 106 41 164 108 132 233 65 117 251 55 37 103 79 182 26 150 109 64 95 117 50 50 137 225 47
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 100 96 83 35 142 86 27 134 50 101 105 105 36 124 126 59 89 107 141 64 130 125 94 157 94
Character r e l a t e d e t o - -o -t -e t o a c h a
Milliseconds 109 155 38 101 98 91 213 53 114 28 167 24 102 228 63 144 115 90 61 74 215 65 95 73 86
Character n g e i n n a -a -n a n o t h e r . o -o h O -O
Milliseconds 32 119 115 94 96 77 82 194 45 246 116 161 0 261 116 48 81 55 85 47 323 312 332 291 275
Character -h H o w d o e s t h e s p e e d o f a
Milliseconds 74 194 156 117 142 75 79 74 61 37 161 22 97 103 77 90 107 132 171 50 157 76 56 115 56
Character f a l l i n g o b e j -j -e j e c t c h a n g e
Milliseconds 150 58 118 95 125 46 162 38 77 101 99 91 250 79 104 105 40 158 49 150 0 110 23 135 83
Character a - s a f u n c t i o n o f t i m e ?
Milliseconds 103 95 116 244 336 90 124 76 264 38 87 99 125 31 93 15 123 112 80 118 68 59 80 72 356
Character H o e -e w d o e s t h e l e v e l o f
Milliseconds 143 217 168 194 408 104 115 78 102 76 59 82 114 52 106 30 160 73 73 89 49 109 125 49 101
Character w a t e r i n a b e -e a r e e -e -e r e l c
Milliseconds 139 87 141 97 48 48 96 90 38 124 91 202 156 297 36 173 181 161 445 54 264 63 132 77 149
Character h a n g e a s a f u n c t t i o n - -n -o -i
Milliseconds 44 78 69 86 99 71 63 123 47 154 89 122 104 121 0 189 429 57 67 54 87 334 68 128 137
Character -t i o n o f t h e a m o u n t o f l i q
Milliseconds 148 171 43 57 109 135 97 52 142 33 146 0 174 134 63 101 155 58 133 87 83 63 98 86 159
Character u i d p o u r e d i n t o i t > - -> ? W
Milliseconds 87 72 242 153 405 307 100 68 235 73 92 79 66 167 46 89 238 81 358 74 337 121 591 200 256
Character e s e e c h a n g e c o -o -c o c c u r i n g
Milliseconds 259 114 127 142 121 87 39 106 63 88 134 103 109 116 73 240 87 166 147 138 93 137 64 81 131
Character i -i - -g -n -i r i n g i n n e a r l y e v e
Milliseconds 82 96 212 95 141 123 140 94 87 26 181 45 188 53 74 231 89 73 91 85 108 62 402 64 91
Character r y t h i n g w e o b s e r v e d -d i n t
Milliseconds 63 76 98 115 55 100 149 84 140 105 118 207 70 152 132 31 75 90 174 408 92 151 39 106 88
Character h e w o r l d a n d u n v e r s e -e -s -r -e -v
Milliseconds 81 85 0 153 102 66 114 89 112 117 110 152 110 148 55 200 51 68 124 45 236 58 162 66 224
Character i v e r s e , a n d p o w e r f u l m o d e
Milliseconds 177 155 62 44 111 114 32 110 120 85 117 25 213 84 121 45 69 192 103 97 26 174 54 103 32
Character r n i n s t r u c m -m -c m e n t s h e l p u
Milliseconds 236 126 68 160 50 118 139 175 61 123 273 317 84 177 50 110 97 167 71 182 166 31 227 391 139
Character s s e e m o r e a n d m o r e . I n t
Milliseconds 67 91 191 160 127 30 95 91 16 95 0 205 69 154 72 184 32 75 28 133 27 204 86 53 71
Character h i s s e c t i o n w e i n t r u d -d -u o d
Milliseconds 121 28 93 20 185 106 140 172 43 45 47 39 106 64 157 97 64 228 175 97 138 383 63 332 148
Character u c e t h e i d e a s o f a v e r a g e
Milliseconds 101 39 161 136 130 54 170 46 155 50 73 78 201 160 101 109 53 220 95 113 103 90 110 110 91
Character a n d i n s t a n c e -e -c t a n e o u s r a t
Milliseconds 166 82 126 60 128 78 161 139 80 93 106 94 286 101 151 90 87 436 130 61 163 61 189 63 156
Character e s o f c h a n g e , a n d h -h s h o w
Milliseconds 46 80 113 98 114 33 606 29 113 54 122 87 120 53 99 116 31 138 97 279 89 79 97 37 153
Character t h a t t h e y a r e c l o s e r l y - -y
Milliseconds 50 120 34 52 71 155 0 146 0 88 73 64 71 36 274 43 150 73 74 152 0 82 137 305 42
Character -l -r l y r e a l a t -t -a -l -a l a t e d t o t
Milliseconds 147 130 176 234 286 79 52 104 45 180 65 189 65 151 117 176 70 86 115 69 84 121 29 60 98
Character h e s l o p e o f a c u r v e a t a
Milliseconds 83 79 107 190 132 198 320 214 123 242 119 81 135 94 168 89 122 138 97 102 103 105 158 75 158
Character p o i n t I -I P o n t h e c -c -e - e c u
Milliseconds 74 102 202 48 89 140 228 264 205 294 173 51 121 55 162 92 31 290 183 79 111 159 102 77 125
Character r v e . W W -W e g i v e p r e c i s e d e
Milliseconds 79 155 114 130 67 476 67 626 74 131 168 48 144 129 100 206 159 85 182 70 165 40 148 178 69
Character v e l o p m e n t s o f t h e s e i m p o r
Milliseconds 170 47 93 162 34 123 64 80 71 114 50 164 70 6 207 42 96 74 122 48 175 46 102 126 34
Character t a n t c o n c e p t s i n t h e n e x t
Milliseconds 158 37 49 165 37 162 43 77 147 63 96 109 123 71 122 36 95 22 110 55 47 203 51 191 134
Character c h a p t e r , b u t f o r n o w w e
Milliseconds 67 130 44 64 121 140 118 39 111 34 162 43 120 77 95 89 79 26 90 86 108 32 138 45 148
Character u s e a -a a n i n f o r m a l a p p r o a c
Milliseconds 146 125 30 134 387 295 304 98 98 64 84 208 110 125 41 163 55 117 200 104 113 105 99 30 172
Character h y -y s o y o u w i l l s e e h o w t
Milliseconds 126 178 233 246 66 67 43 207 51 77 51 102 69 134 484 111 140 32 212 133 137 60 205 0 228
Character h e y l e a d n a t u t -t r a l l y t o t
Milliseconds 62 135 42 144 98 151 56 173 94 159 62 228 282 56 362 179 57 76 171 99 42 138 40 62 269
Character h e m a i n i d e a o f t h i s c h a p
Milliseconds 44 125 27 169 51 97 45 109 164 43 84 41 125 151 49 142 111 103 59 103 92 108 111 82 97
Character t e r , t h e l i -i -l -e - e l i m t -t i t m
Milliseconds 86 144 31 14 96 157 33 161 0 214 96 225 101 108 131 97 170 178 63 153 133 454 201 108 45
Character -m t . - -. -t . T h e i d e a o f a l i
Milliseconds 556 150 140 74 318 64 146 239 74 192 234 55 129 237 114 55 48 139 103 132 40 111 129 112 107
Character m i t p l a y s a f o u n d a t i o n a l
Milliseconds 142 102 66 448 87 199 86 103 160 106 177 86 375 32 76 200 37 59 183 334 59 39 170 40 142
Character r o l e t h r o u g h o u t c a l c u l u s .
Milliseconds 250 95 219 136 117 133 52 96 53 94 137 69 141 42 123 36 217 41 93 309 87 494 364 82 96
WPM Timing
Seconds WPM
2.41 44.72
4.83 79.51
7.24 94.42
9.66 99.39
12.07 95.41
14.49 89.45
16.9 87.32
19.32 88.21
21.73 88.9
24.15 88.95
26.56 91.71
28.98 88.21
31.39 89.45
33.81 88.03
36.22 87.79
38.64 85.72
41.05 85.36
43.47 82.82
45.88 83.96
48.3 84.23
50.71 83.53
53.13 84.48
55.54 84.05
57.96 84.27
60.37 86.07
62.79 85.43
65.2 86.13
67.61 85.72
70.03 86.02
72.44 87.46
74.86 86.08
77.27 85.72
79.69 85.68
82.1 85.21
84.52 84.48
86.93 83.93
89.35 85.02
91.76 86.31
94.18 87.54
96.59 87.09
99.01 87.02
101.42 87.2
103.84 86.91
106.25 87.75
108.67 87.35
111.08 85.99
113.5 85.96
115.91 85.82
118.33 86
120.74 85.87