RoadTo100WPM (peternator)

Race #3563

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Official speed 88.23 wpm (117.51 seconds elapsed during race)
Without ending ping 88.67 wpm (582 ms delay sending score to TypeRacer’s server)
Timerless 90.09 wpm (1,844 ms elapsed before first character typed; 115.09 seconds elapsed during race)
Timerless minus one 89.99 wpm, ignoring the first character typed
Race Start October 10, 2023 9:40:03am UTC
Race Finish October 10, 2023 9:42:00am UTC
Outcome Win (1 of 4)
Opponents 3. roshanantony780 (79.21 wpm)
Accuracy 97.1%
Points 238.22
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 ECalculus is atoo tool that helps us understand how a chante ge in noe one quantity is related to a change in another. How does the speed of a fealalling object change as a function of time? How doe ts the level of water in a barrel change as a functiobnn of the amount of liquid poured into it? We see change occuriring nin nearly everthything we observe in the world and universe, and powerful modern instruments help us seem o more and more. In this sectino on we indttroduce the ideasa o of average and instantaneous rarttes of change, and show that they are closesly ly related to the slope of a curve at a point P on the curve. We give precies se developments of these imporatnttant concepts in the next chanppter, but for now we use an infmorormal approach so you will see how they lead naturally to the main idea of this chapter, the limit. The idaeeao f of a limit plays a foundatuionional role throughout calculus.
Timing
Character E -E C a l c u l u s i s a t o o -o -o -t t o o
Milliseconds 1844 518 193 412 176 106 102 200 120 138 123 73 72 69 151 130 53 201 278 126 127 123 60 64 159
Character l t h a t h e l p s u s u n d e r s t a n
Milliseconds 221 85 106 65 56 80 39 73 103 30 198 45 68 119 79 151 216 163 52 126 114 260 85 71 66
Character d h o w a c h a n t e - -e -t g e i n n
Milliseconds 88 85 99 70 58 80 105 75 189 120 96 85 126 0 190 323 125 100 134 28 49 69 63 77 163
Character o e - -e -o -n o n e q u a n t i t y i s r e
Milliseconds 0 124 42 288 145 132 129 173 54 43 75 145 53 173 395 126 92 80 154 70 147 63 65 152 46
Character l a t e d t o a c h a n g e i n a n o t
Milliseconds 80 93 94 383 209 79 137 35 76 63 124 144 33 93 115 35 84 81 161 68 82 195 54 72 57
Character h e r . H o w d o e s t h e s p e e d o
Milliseconds 46 102 99 44 50 329 236 27 90 250 41 78 70 51 128 18 79 100 111 87 60 178 145 353 508
Character f a f e a l -l -a -e a l l i n g o b j e c t
Milliseconds 83 36 120 97 202 34 35 98 320 113 135 82 126 195 73 101 45 37 128 67 213 88 171 120 50
Character c h a n g e a s a f u n c t i o n o f t
Milliseconds 199 110 142 45 201 49 129 112 93 64 135 69 132 51 151 60 130 44 62 0 173 135 90 27 177
Character i m e ? H o w d o e t -t - s t h e l e v
Milliseconds 31 126 68 341 114 219 200 53 86 167 49 85 89 154 262 124 177 67 141 29 61 102 73 37 136
Character e l o f w a t e r i n a b a r r e l c
Milliseconds 56 106 109 266 99 63 165 77 87 63 82 93 101 104 79 41 150 21 128 116 174 60 133 42 206
Character h a n g e a s a f u n c t i o b n -n -b n o
Milliseconds 39 47 132 42 71 134 154 121 37 156 64 138 81 153 99 108 64 16 91 108 352 134 171 82 106
Character f t h e a m o u n t o f l i q u i d p o
Milliseconds 80 65 139 48 50 82 143 58 85 120 151 134 65 195 47 41 137 70 230 70 58 243 86 355 126
Character u r e d i n t o i t ? W e s e e c h a n
Milliseconds 191 138 125 187 11 106 50 55 105 87 137 46 328 99 219 208 66 149 57 171 95 179 29 71 79
Character g e o c c u r i -i r i n g n -n i n n e a r l
Milliseconds 57 59 86 257 142 152 88 94 147 311 77 78 59 40 68 107 538 168 64 89 112 77 139 72 117
Character y e v e r t h -h -t y t h i n g w e o b s e r
Milliseconds 161 53 95 98 206 47 634 97 298 140 200 141 70 62 124 66 93 100 87 46 156 85 254 198 113
Character v e i n t h e w o r l d a n d u n i v e
Milliseconds 219 93 38 102 47 79 115 33 40 109 92 47 72 63 115 83 106 53 60 77 110 329 120 82 116
Character r s e , a n d p o w e r f u l m o d e r n
Milliseconds 120 90 77 151 88 93 61 58 87 112 69 41 83 48 194 62 72 174 172 84 107 153 91 182 114
Character i n s t r u m e n t s h e l p u s s e e m
Milliseconds 102 72 153 94 72 455 221 101 75 114 70 94 258 80 112 197 96 164 85 122 150 103 145 116 73
Character o -o - -m m o r e a n d m o r e . I n t h
Milliseconds 169 236 132 129 99 136 76 0 31 67 142 53 73 30 145 42 78 23 143 81 183 480 87 85 70
Character i s s e c t i n o - -o -n o n w e i n d t -t
Milliseconds 49 54 110 149 76 223 139 64 48 35 98 325 140 118 209 201 144 58 86 85 245 61 31 234 176
Character -d t r o d u c e t h e i d e a s a o -o - -a
Milliseconds 112 100 31 143 223 86 160 136 83 96 40 46 71 112 35 117 73 69 60 68 137 304 159 114 296
Character o f a v e r a g e a n d i n s t a n t a n e
Milliseconds 101 66 67 388 137 144 90 212 119 62 81 151 46 73 88 107 75 29 150 109 85 111 177 531 298
Character o u s r a r t -t -r t e s o f c h a n g e ,
Milliseconds 135 123 104 80 389 67 94 226 252 156 34 48 76 106 117 87 37 176 60 40 189 29 98 189 86
Character a n d s h o w t h a t t h e y a r e c l
Milliseconds 91 83 47 72 179 76 58 108 90 174 31 69 96 37 134 19 77 105 64 121 60 47 47 262 73
Character o s e s l y - -y -l -s l y r e l a t e d t o
Milliseconds 147 20 55 185 0 191 114 178 133 130 157 209 115 108 118 32 76 134 83 56 134 81 103 49 105
Character t h e s l o p e o f a c u r v e a t a
Milliseconds 102 39 56 64 247 48 152 153 86 72 102 86 67 85 96 292 72 90 184 36 83 126 109 57 104
Character p o i n t P o n t h e c u r v e . W e
Milliseconds 112 29 59 135 111 74 304 227 246 213 53 61 99 53 23 92 165 105 52 198 55 134 54 426 187
Character g i v e p r e c i e s - -s -e s e d e v e l
Milliseconds 109 174 56 113 0 140 156 63 75 192 66 150 78 117 255 127 135 108 38 71 159 125 354 49 118
Character o p m e n t s o f t h e s e i m p o r a t n
Milliseconds 155 139 226 39 127 52 77 105 73 93 58 132 31 122 68 328 159 140 90 130 54 58 141 22 153
Character t -t -n -t -a t a n t c o n c e p t s i n t h e
Milliseconds 73 219 158 99 117 105 41 99 81 115 182 37 43 98 217 90 47 88 85 64 87 88 211 76 37
Character n e x t c h a n p -p -n p t e r , b u t f o
Milliseconds 75 154 28 193 127 58 155 75 55 100 236 210 130 199 31 68 105 72 86 169 185 51 49 164 50
Character r n o w w e u s e a n i n f m o r -r -o -m
Milliseconds 86 51 79 81 49 86 154 92 31 306 98 21 95 421 48 365 178 84 65 158 106 47 281 139 320
Character o r m a l a p p r o a c h s o y o u w i l
Milliseconds 213 32 96 98 97 118 168 185 129 78 115 58 201 54 93 166 47 80 111 61 37 58 129 44 102
Character l s e e h o w t h e y l e a d n a t u r
Milliseconds 122 99 134 61 161 93 132 41 76 127 194 43 51 118 30 274 58 99 126 101 239 72 129 26 133
Character a l l y t o t h e m a i n i d e a o f
Milliseconds 58 67 141 109 62 127 106 169 127 54 53 55 175 344 41 68 61 206 53 181 25 63 115 87 33
Character t h i s c h a p t e r , t h e l i m i t .
Milliseconds 165 51 58 63 73 240 59 22 150 175 118 77 121 78 125 56 57 105 389 53 132 390 124 111 154
Character T h e i d a e -e -a e a o f - -f - -o o f a
Milliseconds 261 129 67 78 149 39 75 78 294 118 132 15 256 0 213 70 213 161 115 171 95 157 52 49 123
Character l i m i t p l a y s a f o u n d a t u i o
Milliseconds 67 129 74 186 88 110 72 156 126 36 178 68 80 140 94 188 31 38 155 152 107 128 79 0 64
Character n -n -o -i -u i o n a l r o l e t h r o u g h o u
Milliseconds 34 335 141 119 371 159 80 90 87 138 101 226 43 111 112 66 191 49 133 89 64 53 165 183 74
Character t c a l c u l u s .
Milliseconds 79 72 313 81 28 149 521 194 155 70 182
WPM Timing
Seconds WPM
2.35 0
4.7 33.19
7.05 54.46
9.4 67.65
11.75 61.27
14.1 68.08
16.45 74.4
18.8 79.78
21.15 76.02
23.5 78.63
25.85 82.16
28.2 82.55
30.55 85.23
32.9 86.07
35.25 87.48
37.6 88.08
39.95 88.3
42.3 87.08
44.65 85.19
47 87.06
49.35 88.75
51.7 89.59
54.06 89.24
56.41 89.35
58.76 88.43
61.11 87.59
63.46 87.18
65.81 87.71
68.16 86.27
70.51 87.31
72.86 87.79
75.21 88.08
77.56 88.97
79.91 89.2
82.26 88.7
84.61 88.64
86.96 88.04
89.31 88.82
91.66 88.63
94.01 88.84
96.36 88.05
98.71 88.99
101.06 89.53
103.41 90.17
105.76 90.09
108.11 89.46
110.46 89.19
112.81 88.61
115.16 88.88
117.51 88.23