JGB 🇭🇹 (jgb000)

Race #33268

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Official speed 85.89 wpm (120.71 seconds elapsed during race)
Without ending ping 85.97 wpm (113 ms delay sending score to TypeRacer’s server)
Timerless 86.26 wpm (408 ms elapsed before first character typed; 120.19 seconds elapsed during race)
Timerless minus one 86.16 wpm, ignoring the first character typed
Race Start July 25, 2024 8:01:28am UTC
Race Finish July 25, 2024 8:03:29am UTC
Outcome No win (2 of 5)
Opponents 1. parinaz11 (94.08 wpm)
5. bruhgoslow (79.83 wpm)
Accuracy 96.4%
Points 231.92
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 CAlcalculouus is a tool that helps us understand how a change in one quantity is related to ca a change in another. How does the speed of a falling object change as a function fo tof time? How does the level of water in a arbzreearrel, change as a funciton tion of the amount of liquid poured into it? We see change occurring in nearly everyhingthing we observe in th eworle world and univerese,se, and powerful modern instruments hlep uelp us see more thaaand more. In this section we introduce the ideas of average odand instantaneous rate s of change, and hshow that they are closely related to the slope of a curve at a point P on the curve. HWe give precise developments of these imp roortant concepts in the next chapter, bu for nt for now we use an unfoinformala p appraoach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limt pi plat payslays a foundational role throughout calcuus.lus.
Timing
Character C A l c -c -l -A a l c u l o u -u -o u s i s a t
Milliseconds 408 57 175 173 294 137 135 81 171 140 206 112 249 72 350 133 205 63 80 83 68 100 83 104 62
Character o o l t h a t h e l p s u s u n d e r s t
Milliseconds 101 155 151 43 135 67 47 92 57 150 59 101 142 102 97 66 92 112 149 154 30 149 49 90 100
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 86 61 98 99 123 66 61 101 652 137 68 75 72 48 79 135 119 80 51 156 246 52 81 102 81
Character u a n t i t y i s r e l a t e d t o c a
Milliseconds 345 86 87 144 41 184 161 179 154 34 100 149 69 81 103 81 55 163 67 83 51 64 114 132 122
Character - -a -c a c h a n g e i n a n o t h e r . H
Milliseconds 301 151 131 56 129 136 109 36 99 70 83 99 133 51 114 148 55 82 113 20 90 113 69 75 367
Character o w d o e s t h e s p e e d o f a f a
Milliseconds 460 76 102 151 132 33 82 133 67 85 52 77 87 115 74 127 163 70 71 61 91 32 145 124 77
Character l l i n g o b j e c t c h a n g e a s a
Milliseconds 86 146 101 54 53 80 150 59 173 34 549 102 77 129 78 128 83 156 12 99 123 113 32 133 99
Character f u n c t i o n f o t -t - -o -f o f t i m e ?
Milliseconds 84 137 149 63 117 3 94 89 80 152 35 83 129 356 131 137 147 258 34 58 131 55 83 78 251
Character H o w d o e s t h e l e v e l o f w a
Milliseconds 165 183 337 81 102 132 97 52 66 64 83 74 62 86 78 59 230 65 99 70 131 16 83 66 120
Character t e r i n a a r -r -a b z r e e -e -e -r -z a r r
Milliseconds 55 92 87 60 176 110 88 83 111 174 217 381 130 101 133 56 115 159 256 114 134 168 133 69 152
Character e l , -, c h a n g e a s a f u n c i t o n
Milliseconds 163 184 266 390 78 63 114 39 95 51 101 119 132 87 68 83 110 122 96 155 79 101 0 63 100
Character - -n -o -t -i t i o n o f t h e a m o u n t
Milliseconds 108 371 144 254 144 133 167 98 35 77 76 113 105 44 319 65 65 67 250 153 150 80 208 110 50
Character o f l i q u i d p o u r e d i n t o i t ?
Milliseconds 48 136 35 101 81 97 135 47 105 80 186 154 160 150 64 172 43 139 47 154 129 125 134 61 253
Character W e s e e c h a n g e o c c u r r i n g
Milliseconds 77 274 113 83 65 72 164 70 162 68 65 69 79 56 96 154 96 158 92 64 168 101 66 98 72
Character i n n e a r l y e v e r y h i n g -g -n -i -h t h
Milliseconds 161 59 75 182 89 53 80 47 125 113 97 167 96 56 105 178 31 83 135 300 148 100 152 168 123
Character i n g w e o b s e r v e i n t h e w o r
Milliseconds 51 89 73 130 116 50 107 394 116 201 47 81 202 101 112 141 60 75 96 47 92 6 51 102 76
Character l -l -r -o -w -e - e w o r l d a n d u n i v e r
Milliseconds 92 301 137 132 131 151 124 42 71 75 174 62 102 65 154 120 58 118 106 314 160 84 99 123 77
Character e s e , -, -e -s -e s e , a n d p o w e r f u l
Milliseconds 173 0 163 102 351 135 133 131 85 60 140 131 32 121 79 79 260 178 102 70 41 192 51 40 128
Character m o d e r n i n s t r u m e n t s h l e p u
Milliseconds 126 65 84 134 32 66 125 100 59 109 13 131 117 137 78 88 116 79 53 79 101 19 127 122 100
Character -u - -p -e -l e l p u s s e e m o r e t h a -a
Milliseconds 285 138 144 135 135 81 132 100 154 112 46 121 72 96 152 83 62 76 71 27 76 67 47 105 274
Character -h a -a -t a n d m o r e . I n t h i s s e c
Milliseconds 148 198 149 182 107 115 57 39 97 72 44 81 116 70 215 86 84 82 89 69 78 110 183 290 199
Character t i o n w e i n t r o d u c e t h e i d e
Milliseconds 112 69 73 68 107 88 93 95 127 46 84 107 80 62 137 68 152 92 123 81 48 83 93 85 127
Character a s o f a v e r a g e o d -d -o a n d i n s
Milliseconds 56 123 119 117 36 65 167 137 111 81 121 129 73 81 104 92 325 135 94 114 42 76 134 53 97
Character t a n t a n e o u s r a t e - s o f c h a
Milliseconds 204 99 80 241 112 447 573 189 109 94 135 536 170 85 108 119 356 77 102 213 72 61 140 94 32
Character n g e , a n d h -h s h o w t h a t t h e y
Milliseconds 89 48 100 300 46 85 81 59 68 124 368 70 114 66 47 85 85 97 51 87 46 102 32 141 40
Character a r e c l o s e l y r e l a t e d t o t
Milliseconds 58 80 72 74 75 159 84 106 61 64 104 106 96 137 95 105 79 85 64 168 71 76 67 71 80
Character h e s l o p e o f a c u r v e a t a
Milliseconds 37 96 64 136 102 145 108 154 46 99 48 78 136 100 125 78 69 216 83 79 105 134 13 517 149
Character p o i n t P o n t h e c u r v e . H -H W
Milliseconds 135 49 132 18 105 60 218 170 199 45 68 91 47 48 45 153 67 65 169 102 148 71 282 305 278
Character e g i v e p r e c i s e d e v e l o p m e n
Milliseconds 87 132 125 87 115 105 77 327 96 147 190 93 100 67 115 122 145 123 75 136 157 39 222 79 87
Character t s o f t h e s e i m p r o -o -r - o r t a
Milliseconds 64 115 139 146 48 84 82 103 35 161 102 118 124 100 27 0 186 2 321 126 133 238 78 113 86
Character n t c o n c e p t s i n t h e n e x t c
Milliseconds 23 116 80 167 81 48 67 159 90 74 141 125 132 63 69 85 46 48 41 113 31 203 88 46 122
Character h a p t e r , b u f o r n -n - -r -o -f - t f
Milliseconds 41 135 64 121 32 132 101 52 267 98 137 104 22 109 64 76 307 137 146 133 145 139 54 42 134
Character o r n o w w e u s e a n u n f o -o -f -n -u
Milliseconds 2 122 74 54 50 63 75 112 66 98 152 35 80 52 139 62 71 161 167 137 81 301 148 143 134
Character i n f o r m a l a p -p - -a a p p r a -a o a c h
Milliseconds 214 75 224 141 44 72 81 168 106 78 225 327 134 119 54 74 119 149 117 514 373 178 34 120 47
Character s o y o u w i l l s e e h o w t h e y
Milliseconds 135 154 114 445 215 75 76 76 100 112 23 146 43 155 45 172 98 83 49 17 104 106 78 48 100
Character l e a d n a t u r a l l y t o t h e m a
Milliseconds 48 164 105 115 202 99 154 60 259 159 40 64 83 181 116 133 99 104 32 80 65 76 41 277 100
Character i n i d e a o f t h i s c h a p t e r ,
Milliseconds 50 44 100 156 29 147 65 53 132 46 71 96 77 47 80 67 255 128 85 132 134 101 113 98 69
Character t h e l i m i t . T h e i d e a o f a
Milliseconds 108 92 50 100 182 69 113 608 147 290 195 169 142 5 97 236 32 133 83 73 84 71 69 104 104
Character l i m t p -p - -t i p l a -a -l -p - t p a y s -s
Milliseconds 165 147 68 202 87 110 368 201 417 193 103 86 99 81 272 140 124 125 115 45 99 218 149 97 254
Character -y -a l a y s a f o u n d a t i o n a l r o l
Milliseconds 147 106 259 52 98 100 89 100 112 48 101 48 190 34 77 108 68 73 59 144 113 72 167 94 161
Character e t h r o u g h o u t c a l c u u s . -. -s -u l
Milliseconds 42 105 498 122 55 88 64 101 99 210 48 92 101 235 123 64 347 164 657 63 165 486 94 169 326
Character u s .
Milliseconds 108 63 164
WPM Timing
Seconds WPM
2.41 29.82
4.83 64.62
7.24 79.53
9.66 83.26
12.07 86.49
14.49 89.47
16.9 89.47
19.31 91.33
21.73 92.78
24.14 89.47
26.56 93.54
28.97 87.4
31.39 87.17
33.8 84.5
36.21 86.16
38.63 86.36
41.04 88.3
43.46 87.54
45.87 87.64
48.29 86.24
50.7 84.5
53.11 85.85
55.53 85.15
57.94 84.91
60.36 85.49
62.77 86.98
65.18 87.08
67.6 86.27
70.01 85.7
72.43 86.65
74.84 88.35
77.26 88.69
79.67 89.32
82.08 88.59
84.5 89.47
86.91 89.19
89.33 90.41
91.74 89.21
94.16 88.58
96.57 87.98
98.98 87.04
101.4 87.93
103.81 88.66
106.23 89.36
108.64 88.92
111.06 88.06
113.47 86.61
115.88 87.29
118.3 87.14
120.71 85.89