Jaciel (itsvybe)

Race #596

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Official speed 83.07 wpm (124.81 seconds elapsed during race)
Without ending ping 83.22 wpm (231 ms delay sending score to TypeRacer’s server)
Timerless 83.39 wpm (253 ms elapsed before first character typed; 124.33 seconds elapsed during race)
Timerless minus one 83.30 wpm, ignoring the first character typed
Race Start June 22, 2023 4:58:42am UTC
Race Finish June 22, 2023 5:00:47am UTC
Outcome No win (3 of 4)
Opponents 2. crow_tengu (88.96 wpm)
Accuracy 95.0%
Points 224.28
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 Calacuculus is a toll o tl that helps us understnad=and how a change in one qunitantity is related to a changfe ine iun n another, H. How does the spseeed of a fllialling aoobject change sasas a cfunmctiction os timioolf tf time? How does the level of water ina a brearrleel cahngehahange as a function of the amount of liquid pourded into it? We see change occuringring in nearly everything we ovbserve in the world and uuniverse, and powerful ommoderin in instruments hlepelp us see more and more. In this section we ointroducvee the ieddea of s of average and instantaneous rates of change, and show that they are cloeslysely related to the slope of a curve at a point P on the cruveurve. W#Eee giv pree preciese se develpopments of these imporatnttant coneccepts in the next chpapter, but for now we use an infromapormormal approach so you will se how te how they lead naturally to the main idea of this chaptherer, the limit. The idea of a limit plays a fondaundational role threoughoughout clacalcuallus.
Timing
Character C a l a c u -u -c -a c u l u s i s a t o l l
Milliseconds 253 90 118 85 54 105 224 108 101 107 62 149 212 105 69 92 83 75 87 80 70 66 129 159 91
Character - -l -l o t -t - l t h a t h e l p s u s u
Milliseconds 278 201 163 183 246 117 183 94 240 118 76 106 43 72 41 66 121 50 165 76 48 67 92 77 39
Character n d e r s t n a d = -= -d -a -n a n d h o w a c
Milliseconds 180 33 158 81 154 77 157 30 147 204 128 88 167 149 119 94 70 60 75 77 62 59 80 85 96
Character h a n g e i n o n e q u n i t -t -i -n a n t i
Milliseconds 79 65 94 56 63 9 79 79 74 67 83 48 68 143 86 144 116 61 221 111 120 66 101 289 118
Character t y i s r e l a t e d t o a c h a n g f
Milliseconds 90 70 263 170 102 57 74 60 71 119 87 69 138 68 83 67 103 88 245 167 93 70 71 66 32
Character e i n -n -i - -e -f e i u n - -n -u n a n o t h
Milliseconds 19 62 45 102 171 113 135 138 118 93 50 59 8 90 115 233 106 133 167 81 89 74 122 86 100
Character e r , H -H - -, . H o w d o e s t h e s p
Milliseconds 84 66 87 100 169 179 117 102 204 108 126 62 74 60 117 62 88 48 73 108 59 66 89 107 98
Character s e -e -s e e d o f a f l l i -i -l -l a l l i n
Milliseconds 75 18 259 63 187 127 141 44 63 115 73 88 86 83 96 117 92 231 104 121 117 94 104 69 111
Character g a o -o -a o b j e c t c h a n g e s a s -s -a
Milliseconds 79 37 87 145 218 87 184 145 163 73 98 161 117 319 98 50 106 46 41 71 103 12 220 105 107
Character -s a s a c -c f u n m c t i -i -t -c -m c t i o n
Milliseconds 123 95 45 113 71 109 76 278 57 107 143 20 24 149 74 207 114 126 111 103 216 81 68 60 118
Character o s t i m -m -i -t - -s -o i o -o -i o l f t -t - -f -l
Milliseconds 104 70 71 112 52 58 206 124 128 127 194 142 511 227 227 93 192 6 54 76 94 212 103 139 122
Character f t i m e ? H o w d o e s t h e l e v e
Milliseconds 118 232 125 82 82 43 231 128 112 81 121 86 108 84 64 72 72 100 38 123 119 155 28 151 73
Character l o f w a t e r i n a - -a a b r e -e -r
Milliseconds 87 96 92 40 89 62 93 102 79 92 32 63 120 150 83 362 102 150 97 108 134 92 46 234 93
Character a r r l e -e -l e l c a h n g e -e -g -n -h h a -a -h -a
Milliseconds 83 324 136 148 76 255 101 102 87 110 63 87 13 160 98 51 133 116 134 123 182 91 188 108 109
Character h a n g e a s a f u n c t i o n o f t h
Milliseconds 177 83 107 104 29 67 102 72 73 115 89 112 74 147 30 151 73 70 26 117 111 43 95 120 9
Character e a m o u n t o f l i q u i d p o u r d -d
Milliseconds 118 129 96 59 90 87 129 21 104 60 71 110 19 80 268 73 82 134 119 142 113 103 50 120 382
Character e d i n t o i t ? W e s e e c h a n g e
Milliseconds 20 145 39 101 130 90 69 147 135 92 260 136 491 207 132 76 62 116 93 114 64 75 83 84 44
Character o c c u r i n g -g -n -i r i n g i n n e a r l
Milliseconds 48 263 91 117 97 93 68 126 100 147 100 129 105 86 103 54 38 59 84 145 108 87 103 62 94
Character y e v e r y t h i n g w e o v -v b s e r v e
Milliseconds 111 84 7 134 75 67 76 121 51 67 99 75 34 114 66 77 88 114 420 164 90 56 82 210 73
Character i n t h e w o r l d a n d u -u u n i v e
Milliseconds 113 43 89 98 79 112 58 86 97 94 74 103 24 114 102 114 68 50 222 194 325 155 75 82 86
Character r s e , a n d p o w e r f u l o m -m -o m o d
Milliseconds 96 84 73 91 83 54 121 56 70 218 127 60 33 64 144 47 90 113 108 64 287 89 157 63 45
Character e r i n i -i - -n -i n i n s t r u m e n t s h
Milliseconds 155 57 53 62 132 65 237 108 133 100 167 87 67 94 82 76 145 105 158 66 88 92 92 80 67
Character l e p -p -e -l e l p u s s e e m o r e a n d
Milliseconds 135 93 118 261 106 126 138 54 163 121 187 85 70 133 78 141 65 71 86 41 33 55 121 52 124
Character m o r e . I n t h i s s e c t i o n w e
Milliseconds 55 119 68 93 25 108 91 128 111 58 100 52 54 106 44 116 67 148 153 60 46 47 103 123 83
Character o -o i n t r o d u c v e -e -v e t h e i e d -d
Milliseconds 126 220 250 200 91 104 116 88 112 117 137 4 60 183 105 199 95 107 70 52 79 48 58 24 315
Character -e d e a o f - -f -o - s o f a v e r a g e
Milliseconds 105 91 162 83 64 66 124 88 169 113 139 118 94 68 88 86 85 86 225 119 89 113 106 42 88
Character a n d i n s t a n t a n e o u s r a t e s o
Milliseconds 84 86 91 65 53 105 206 154 162 108 122 237 107 113 629 71 136 68 185 125 130 22 134 60 67
Character f c h a n g e , a n d s h o w t h a t t
Milliseconds 76 90 104 83 72 89 89 37 69 78 53 98 65 60 98 17 104 81 74 105 106 62 86 41 111
Character h e y a r e c l o e s l y -y -l -s -e s e l y r
Milliseconds 42 129 57 88 51 103 23 56 138 62 112 86 5 71 116 228 110 140 93 119 65 72 270 212 125
Character e l a t e d t o t h e s l o p e o f a
Milliseconds 90 157 283 125 85 146 80 90 63 97 69 104 57 91 121 123 160 147 96 48 62 95 79 70 109
Character c u r v e a t a p o i n t P o n t h e
Milliseconds 44 129 56 168 71 57 85 109 64 74 146 171 217 27 154 116 100 207 141 133 99 104 85 79 64
Character c r u v e -e -v -u -r u r v e . W # E -E e -e -# e
Milliseconds 51 122 138 83 133 90 300 109 115 348 139 71 172 54 116 91 157 18 23 254 203 164 98 99 78
Character g i v p r e -e -r -p - e p r e c i e s e - -e -s
Milliseconds 372 74 101 78 163 68 65 168 105 125 104 127 64 106 60 45 294 119 96 71 65 106 168 120 135
Character -e s e d e v e l p -p o p m e n t s o f t h e
Milliseconds 169 207 65 155 88 144 99 81 105 269 391 175 161 180 66 88 74 98 73 133 63 68 82 35 102
Character s e i m p o r a t n -n -t t -t -a t a n t c o n e
Milliseconds 118 73 78 76 118 117 88 80 126 123 76 246 120 277 124 99 115 112 82 76 106 121 58 59 115
Character c -c -e c e p t s i n t h e n e x t c h p -p
Milliseconds 97 183 99 64 281 110 96 88 55 128 90 84 37 95 67 84 100 27 182 137 125 277 116 200 271
Character a p t e r , b u t f o r n o w w e u s e
Milliseconds 119 107 101 85 148 134 86 97 161 66 67 94 75 47 44 70 68 73 45 138 35 109 71 77 55
Character a n i n f r o m a -a -m -o -r p o r m -m -r -o -p o r
Milliseconds 78 105 85 102 68 105 79 121 68 63 78 230 104 145 96 168 0 50 115 225 99 132 117 175 88
Character m a l a p p r o a c h s o y o u w i l l
Milliseconds 87 101 72 105 106 63 129 117 78 113 97 125 109 75 79 88 88 42 94 89 97 52 136 126 81
Character s e h o w t -t - -w -o -h - e h o w t h e y
Milliseconds 65 54 191 51 80 74 39 270 169 108 145 137 135 100 100 90 88 49 77 68 100 74 99 69 90
Character l e a d n a t u r a l l y t o t h e m a i
Milliseconds 82 37 78 128 79 202 86 99 76 81 57 67 122 92 108 74 103 68 71 92 77 71 98 66 83
Character n i d e a o f t h i s c h a p t h e r -r -e
Milliseconds 94 67 77 60 139 74 52 49 118 63 107 51 70 100 54 101 106 168 138 78 127 83 66 253 110
Character -h e r , t h e l i m i t . T h e i d e a
Milliseconds 118 72 37 114 57 38 88 52 71 473 99 68 140 112 145 149 100 99 57 72 76 42 140 70 40
Character o f a l i m i t p l a y s a f o n d a -a
Milliseconds 72 72 95 57 103 59 94 145 111 107 189 145 137 64 72 112 35 107 99 93 64 191 77 100 196
Character -d -n u n d a t i o n a l r o l e t h r e o u g
Milliseconds 113 115 128 143 28 163 112 81 57 70 266 124 130 135 70 120 69 54 132 97 87 22 4 81 63
Character h -h -g -u -o -e o u g h o u t c l a c -c -a -l a l c u
Milliseconds 127 154 100 138 129 519 194 89 89 90 131 51 89 80 142 92 38 140 276 114 128 111 114 105 92
Character a l -l -a l u s .
Milliseconds 87 54 429 261 265 114 106 94
WPM Timing
Seconds WPM
2.5 76.92
4.99 57.69
7.49 64.1
9.98 79.32
12.48 82.69
14.98 77.72
17.47 76.92
19.97 79.92
22.47 77.98
24.96 77.4
27.46 73.42
29.95 67.7
32.45 71
34.95 72.45
37.44 69.87
39.94 70.31
42.44 74.09
44.93 74.25
47.43 75.15
49.92 77.64
52.42 78.75
54.92 79.76
57.41 79.22
59.91 78.92
62.41 80.95
64.9 81.72
67.4 81.37
69.89 81.55
72.39 81.23
74.89 83.65
77.38 83.43
79.88 84.28
82.37 84.93
84.87 84.13
87.37 82.55
89.86 81.99
92.36 82.24
94.86 81.72
97.35 81.97
99.85 82.57
102.34 81.84
104.84 82.64
107.34 82.06
109.83 83.25
112.33 83.65
114.83 84.34
117.32 84.69
119.82 84.83
122.31 83.98
124.81 83.07