JoviUncle (keyboarduncle)

Race #1206

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Official speed 86.89 wpm (119.32 seconds elapsed during race)
Without ending ping 87.14 wpm (338 ms delay sending score to TypeRacer’s server)
Timerless 87.68 wpm (731 ms elapsed before first character typed; 118.25 seconds elapsed during race)
Timerless minus one 87.57 wpm, ignoring the first character typed
Race Start March 13, 2024 9:00:37am UTC
Race Finish March 13, 2024 9:02:36am UTC
Outcome Win (1 of 4)
Opponents 2. doquannnn (86.85 wpm)
3. fazrael07 (73.53 wpm)
Accuracy 96.2%
Points 234.59
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 chang ie in one queantity is related to a change in another. Hoe w does the speed of a fgaallign ong object change as a fucntnction of time? How does the level of water isn a barrel change as a function of a the amount of liquid poured into it? We see change occuring iring in nearly everything we observe in the world and universe, and powerful omodern instruments help us see more an d more. In this section we introduce the ideas of average and instannttanerouous rate ons of change, and doshwo ow that theyare are closely lrrelated to the slop e of a curve at a point P on the curve. We give precise developmetnsnts of these improortatntnt concepts in the next chapter, vbbur fot for now we use an informal approace h so you will esee how they lead naturally to the main idea of this chapter, the limit. THe he idea of a limit playes a foundational role throuhgoghout calclulus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 731 171 147 150 290 197 184 76 94 75 85 50 158 15 168 62 120 134 226 113 59 81 30 55 100
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 191 120 175 114 114 112 276 83 143 163 14 175 65 141 127 98 107 66 61 85 35 71 85 100 43
Character c h a n g i -i - e i n o n e q u e -e a n t
Milliseconds 127 48 105 52 97 102 105 225 128 59 55 92 121 119 57 63 59 67 192 162 219 333 76 107 78
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 91 142 155 184 69 43 64 199 78 141 105 87 125 197 71 104 44 118 194 93 111 71 106 57 123
Character e i n a n o t h e r . H o e - -e w d o e
Milliseconds 160 92 142 125 92 42 72 76 64 105 79 41 87 112 99 85 207 156 274 107 13 114 99 70 104
Character s t h e s p e e d o f a f g a -a -g a l l
Milliseconds 116 41 121 56 84 57 105 36 127 115 133 90 65 104 72 113 57 236 0 81 225 107 53 145 126
Character i g n o -o - -n -g n g o b j e c t c h a n g e
Milliseconds 113 139 0 102 54 298 113 135 126 149 64 70 49 269 150 111 204 133 86 101 89 92 84 107 123
Character a s a f u c n t -t -n -c n c t i o n o f t
Milliseconds 118 84 114 113 57 84 358 213 142 35 169 211 133 120 158 56 147 42 113 70 93 105 71 15 323
Character i m e ? H o w d o e s t h e l e v e l o
Milliseconds 262 140 66 240 159 201 136 141 105 93 65 112 147 97 86 76 80 29 115 39 141 71 84 113 113
Character f w a t e r i s -s n a b a r r e l c h a
Milliseconds 43 99 100 83 119 135 78 84 128 72 316 178 126 22 155 99 134 118 149 65 114 116 257 113 77
Character n g e a s a f u n c t i o n o f a - -a
Milliseconds 64 214 190 126 93 155 132 37 119 105 99 157 20 179 50 77 98 127 120 65 71 108 131 269 132
Character t h e a m o u n t o f l i q u i d p o u r
Milliseconds 103 120 84 93 83 155 122 114 133 71 141 64 140 42 329 157 241 114 135 118 88 303 169 211 244
Character e d i n t o i t ? W e s e e c h a n g e
Milliseconds 96 200 62 196 156 76 57 126 100 105 226 113 171 189 93 157 126 150 83 121 89 94 73 65 125
Character o c c u r i n g i -i - -g -n -i r i n g i n n
Milliseconds 64 105 62 164 87 89 71 107 83 77 78 220 121 148 127 121 84 177 170 107 147 28 127 94 122
Character e a r l y e v e r y t h i n g w e o b s e r
Milliseconds 97 121 41 106 176 112 214 155 106 69 63 128 64 34 131 87 65 184 98 135 213 132 255 148 99
Character v e i n t h e w o r l d a n d u n i v e
Milliseconds 223 63 161 0 118 131 52 63 84 38 90 66 62 134 78 73 276 19 112 84 71 136 126 92 150
Character r s e , a n d p o w e r f u l o -o m o d e r
Milliseconds 49 142 121 48 84 92 78 98 87 108 125 84 65 97 191 49 135 114 240 251 321 100 418 153 134
Character n i n s t r u m e n t s h e l p u s s e e
Milliseconds 129 154 35 105 224 145 150 105 175 50 102 18 169 100 85 64 133 173 101 107 64 56 256 146 158
Character m o r e a n - d m o r e . I n t h i s
Milliseconds 55 106 84 36 78 96 87 41 155 304 58 100 126 78 80 54 142 116 65 103 139 87 82 285 151
Character s e c t i o n w e i n t r o d u c e t h e
Milliseconds 96 177 127 163 157 41 14 114 122 202 100 127 62 99 84 163 36 241 98 113 170 99 93 48 64
Character i d e a s o f a v e r a g e a n d i n s
Milliseconds 93 62 107 148 154 178 142 232 241 324 186 113 155 92 149 165 90 113 149 62 65 106 77 84 99
Character t a n n t -t -n t a n e r o u -u -o -r o u s r a t e
Milliseconds 72 156 125 107 135 339 105 49 86 344 291 114 122 83 247 119 127 197 93 140 57 162 92 107 156
Character o n -n -o - s o f c h a n g e , a n d d o
Milliseconds 92 56 101 267 107 139 70 113 113 113 56 241 85 48 121 85 133 169 105 85 57 102 133 240 83
Character -o -d s h w o - -o -w o w t h a t t h e y a r e
Milliseconds 248 120 91 87 111 0 172 268 119 128 191 69 65 96 23 64 78 27 106 83 221 395 98 134 58
Character -e -r -a a r e c l o s e l y l r -r -l r e l a t
Milliseconds 247 112 306 253 183 99 28 113 156 78 155 47 100 94 409 133 213 105 192 117 72 22 218 113 86
Character e d t o t h e s l o p - e o f a c u
Milliseconds 134 170 76 116 26 148 121 91 49 41 214 99 170 176 135 345 51 70 114 85 28 196 34 312 205
Character r v e a t a p o i n t P o n t h e c
Milliseconds 78 282 70 121 85 119 206 232 126 227 127 157 134 77 92 148 124 95 128 106 112 58 76 79 125
Character u r v e . W e g i v e p r e c i s e d e v
Milliseconds 137 71 228 76 186 118 112 197 114 92 126 99 78 86 84 70 56 204 137 106 141 73 96 163 112
Character e l o p m e t n s -s -n -t n t s o f t h e s e
Milliseconds 50 128 161 128 148 91 130 0 147 333 127 135 169 72 155 41 85 64 51 146 29 56 177 87 82
Character i m p r o -o -r o r t a t n t -t -n -t n t c o n c e
Milliseconds 35 120 100 159 0 370 119 201 74 151 135 131 17 142 219 149 98 184 16 124 123 64 49 127 168
Character p t s i n t h e n e x t c h a p t e r ,
Milliseconds 105 96 184 93 35 127 142 43 85 63 77 87 63 175 155 118 129 103 101 58 107 104 78 91 86
Character v b -b -v b u r f o -o -f - -r t f o r n o w w
Milliseconds 113 319 339 119 100 92 101 65 125 42 269 119 148 133 98 107 92 86 98 56 113 249 114 113 169
Character e u s e a n i n f o r m a l a p p r o a c
Milliseconds 85 140 141 83 116 65 107 54 113 65 118 36 128 76 339 113 100 85 176 63 158 132 93 85 185
Character e - -e h s o y o u w i l l e -e s e e h
Milliseconds 197 142 167 121 163 91 50 100 132 206 91 34 122 111 28 170 104 95 128 412 115 151 125 36 92
Character o w t h e y l e a d n a t u r a l l y t o
Milliseconds 46 59 83 86 55 73 102 93 50 43 114 147 57 114 34 122 112 83 108 114 100 147 127 43 56
Character t h e m a i n i d e a o f t h i s c h
Milliseconds 92 106 83 72 70 106 49 80 118 131 127 88 162 108 139 163 66 51 130 51 85 104 58 182 66
Character a p t e r , t h e l i m i t . T H e - -e -H
Milliseconds 114 56 105 149 57 56 84 71 51 77 48 87 188 128 153 64 116 132 123 40 120 50 277 110 134
Character h e i d e a o f a l i m i t p l a y e -e
Milliseconds 185 18 144 78 100 186 90 84 98 72 41 121 28 163 150 119 148 70 73 71 167 56 133 88 385
Character s a f o u n d a t i o n a l r o l e t h r
Milliseconds 82 78 114 91 169 94 77 106 71 161 141 71 121 346 154 135 105 286 33 171 274 135 149 64 113
Character o u h g o -o -g -h g h o u t c a l c l -l u l u s .
Milliseconds 34 77 92 77 162 253 119 127 43 140 105 94 48 115 168 128 84 107 121 225 162 176 128 84 77
WPM Timing
Seconds WPM
2.39 60.34
4.77 82.97
7.16 92.19
9.55 89.25
11.93 93.53
14.32 93.86
16.71 95.54
19.09 90.51
21.48 89.95
23.86 88.5
26.25 90.97
28.64 90.93
31.02 91.67
33.41 91.23
35.8 89.5
38.18 89.88
40.57 88.14
42.96 89.39
45.34 90.25
47.73 91.77
50.12 90.27
52.5 90.74
54.89 91.38
57.28 91.56
59.66 92.12
62.05 91.86
64.43 90.14
66.82 88.71
69.21 88.43
71.59 87.66
73.98 86.62
76.37 86.27
78.75 86.09
81.14 85.93
83.53 86.49
85.91 86.6
88.3 86.43
90.69 85.75
93.07 86.51
95.46 85.1
97.85 85.73
100.23 85.24
102.62 85.37
105 86.51
107.39 87.27
109.78 87.34
112.16 87.84
114.55 87.58
116.94 87.12
119.32 86.89