Nathan (derpaloo)

Race #140

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Official speed 100.11 wpm (103.57 seconds elapsed during race)
Without ending ping 100.21 wpm (105 ms delay sending score to TypeRacer’s server)
Timerless 100.49 wpm (286 ms elapsed before first character typed; 103.18 seconds elapsed during race)
Timerless minus one 100.37 wpm, ignoring the first character typed
Race Start November 3, 2023 7:03:02am UTC
Race Finish November 3, 2023 7:04:46am UTC
Outcome No win (2 of 4)
Accuracy 96.8%
Points 270.30
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 ototool that helps us understand how a change in one quantity. i is crelated toa ch a change in antoheoother. hHow does the speed of a failling object change as a function of time? How does the level of water in a barrel change as a function of the mamount of liquid poured into it? weeWee see change occuringing iring in nearly. everything we observe in the world and universe, and wpowerful modern intrnstruments help us see mor e and more. In this section we introduce the ideas of average and instanteaneous rates of change, and show that they are areare clclosely. related to the slope of a cruurve at at 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 seh e how they ilead naturally to the main idea of this cahhchatpppter, the limiot.. The idea of a limit plays a founedadational role throughout calculus.
Timing
Character C a l c u l u s i s a o t o -o -t -o t o o l
Milliseconds 286 159 104 104 117 167 69 53 51 72 85 46 99 42 98 10 137 221 113 209 108 45 128 140 56
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 71 97 36 54 65 141 22 49 69 90 103 87 58 84 47 146 47 37 269 146 97 54 107 117 92
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 78 68 72 67 58 86 190 72 70 67 111 31 17 79 365 66 82 81 52 82 162 89 81 85 103
Character i t y . i -i - -. i s c -c r e l a t e d t o
Milliseconds 77 81 148 301 181 87 219 134 234 297 153 152 84 407 219 55 46 75 126 75 56 151 49 99 34
Character a c h -h -c - -a a c h a n g e i n a n t o
Milliseconds 111 81 105 76 147 113 93 185 56 66 140 3 697 61 103 21 45 79 55 157 44 21 106 118 18
Character h e -e -h -o o -o -t o t h e r . h -h H o w d o e s
Milliseconds 122 69 152 97 95 165 5 158 260 71 176 38 31 59 196 115 176 128 98 89 101 68 45 127 40
Character t h e s p e e d o f a f a i -i l l i n g
Milliseconds 53 141 68 47 121 94 59 116 128 38 64 97 64 93 68 68 246 35 99 322 92 133 173 143 60
Character o b j e c t c h a n g e a s a f u n c t
Milliseconds 63 66 316 73 89 120 178 50 152 64 118 65 146 37 88 94 59 66 81 64 92 67 156 65 63
Character i o n o f t i m e ? H o w d o e s t h e
Milliseconds 62 56 172 55 90 38 102 74 56 136 57 138 205 125 147 66 85 81 94 96 44 55 111 45 41
Character l e v e l o f w a t e r i n a b a r r
Milliseconds 72 89 50 101 53 48 31 123 67 54 103 20 93 103 79 73 48 160 43 44 83 59 63 128 164
Character e l c h a n g e a s a f u n c t i o n o
Milliseconds 69 173 46 357 60 75 94 56 34 68 84 26 66 63 86 62 139 189 51 75 58 77 132 66 78
Character f t h e m -m a m o u n t o f l i q u i d
Milliseconds 23 103 61 49 48 77 144 217 75 51 131 113 122 53 112 44 82 68 67 44 73 93 219 122 49
Character p o u r e d i n t o i t ? w e e -e -e -w W e e
Milliseconds 76 84 235 25 43 136 57 28 152 77 176 92 112 47 155 211 277 100 184 72 107 116 231 187 188
Character - -e s e e c h a n g e o c c u r i n g -g -n
Milliseconds 97 167 120 82 43 23 148 118 241 59 42 103 70 48 58 139 77 143 119 87 106 142 44 197 88
Character -i i n g i -i - -g -n -i r i n g i n n e a r l y
Milliseconds 125 316 156 60 73 64 212 92 113 109 486 140 456 190 65 97 75 171 55 106 41 61 120 46 105
Character . -. e v e r y t h i n g w e o b s e r v e
Milliseconds 217 296 90 91 126 106 93 108 81 96 99 120 46 79 34 39 87 163 154 91 42 46 168 88 135
Character i n t h e w o r l d a n d u n i v e r s e
Milliseconds 71 142 50 18 89 46 84 85 41 101 92 88 61 159 67 74 45 94 141 64 43 82 124 86 65
Character , a n d w -w p o w e r f u l m o d e r n i
Milliseconds 77 164 64 78 54 81 77 258 132 8 57 676 53 155 35 159 34 153 116 76 59 99 47 68 290
Character n t r -r -t -n n s t r u m e n t s h e l p u s
Milliseconds 131 44 75 371 133 110 424 96 77 60 63 258 15 203 129 46 82 121 37 55 45 84 140 43 107
Character s e e m o r - e a n d m o r e . I n t
Milliseconds 235 12 197 134 90 96 63 100 367 217 75 79 86 64 76 57 66 60 15 210 193 394 164 58 29
Character h i s s e c t i o n w e i n t r o d u c e
Milliseconds 97 260 70 93 121 16 208 194 14 78 198 56 33 34 82 294 143 36 51 94 116 69 127 150 94
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 87 72 53 86 68 78 37 24 157 71 86 91 68 17 308 167 118 63 132 42 59 106 81 89 47
Character i n s t a n t e -e a n e o u s r a t e s o f
Milliseconds 109 172 32 534 86 198 112 129 282 58 99 122 127 58 75 86 83 39 154 55 10 41 76 89 48
Character c h a n g e , a n d s h o w t h a t t h e
Milliseconds 320 76 91 39 125 23 47 204 45 104 116 6 175 34 160 57 105 99 73 74 57 49 91 57 46
Character y a r e a r e -e -r -a a r e c l -l -c - -e -r -a c
Milliseconds 103 60 57 71 31 82 81 47 140 132 106 104 118 51 40 87 119 36 201 92 121 119 217 103 165
Character l o s e l y . - -. r e l a t e d t o t h e
Milliseconds 87 156 61 26 62 165 115 163 216 111 301 138 32 94 100 81 55 154 90 168 3 93 221 74 75
Character s l o p e o f a c r u -u -r u r v e a t
Milliseconds 102 41 69 150 147 56 62 73 61 71 0 108 83 203 70 203 107 119 29 206 57 66 77 88 47
Character a t - -t p o i n t P o n t h e c u r v
Milliseconds 86 92 56 232 351 92 117 74 175 145 46 111 92 111 41 175 52 44 82 82 59 168 56 108 166
Character e . W e g i v e p r e c i s e d e v e l o
Milliseconds 41 39 203 113 273 99 99 66 110 13 60 70 85 35 165 54 84 35 101 155 147 179 51 43 167
Character p m e n t s o f t h e s e i m p o r t a n t
Milliseconds 38 177 23 118 13 70 212 62 48 97 113 82 93 112 69 75 48 165 164 34 72 84 99 86 72
Character c o n c e p t s i n t h e n e x t c h a
Milliseconds 96 101 52 169 41 58 121 103 38 42 53 147 51 15 94 96 53 37 98 169 44 94 147 86 68
Character p t e r , b u t f o r n o w w e u s e
Milliseconds 135 56 76 107 40 187 34 92 86 61 107 37 104 56 42 93 58 80 105 45 88 110 29 53 51
Character a n i n f o r m a l a p p r o a c h s o y
Milliseconds 55 82 47 217 139 24 128 71 58 73 98 48 100 196 120 81 59 113 72 57 50 99 29 67 69
Character o u w i l l s e h - -h - e h o w t h e
Milliseconds 51 149 69 51 55 138 115 108 56 32 221 124 237 121 204 294 86 109 91 75 79 81 116 76 48
Character y i -i l e a d n a t u r a l l y t o t h e
Milliseconds 78 47 171 193 82 65 37 149 9 226 29 95 65 115 23 69 114 91 301 123 95 66 86 83 46
Character m a i n i d e a o f t h i s c a h -h -a -c
Milliseconds 92 56 111 76 83 65 121 59 8 11 76 62 75 68 84 38 85 74 86 81 80 3 381 108 55
Character h -h c h a t p -p p -p -t p t e r , t h e l i m i
Milliseconds 310 177 94 77 93 154 11 289 288 121 155 17 190 181 76 83 169 110 71 34 85 96 53 176 168
Character o -o t . -. . T h e i d e a o f a l i m i
Milliseconds 8 251 172 86 170 456 159 241 219 99 59 51 88 22 17 80 53 95 50 35 104 101 76 173 193
Character t p l a y s a f o u n e d a -a -d -e d a t i o
Milliseconds 44 69 62 63 7 70 102 91 86 82 95 47 386 168 209 8 56 273 95 241 199 45 98 49 82
Character n a l r o l e t h r o u g h o u t c a l c u
Milliseconds 147 58 112 40 69 59 118 75 41 113 72 95 91 74 24 143 69 70 103 97 131 34 294 95 112
Character l u s .
Milliseconds 148 71 85 66
WPM Timing
Seconds WPM
2.07 81.11
4.14 107.18
6.21 112.01
8.29 104.28
10.36 92.69
12.43 86.9
14.5 83.59
16.57 87.63
18.64 88.19
20.71 91.54
22.78 94.8
24.86 100.42
26.93 102.5
29 103.87
31.07 105.44
33.14 101.38
35.21 101.21
37.28 95.59
39.36 94.83
41.43 95.59
43.5 97.66
45.57 96.91
47.64 96.22
49.71 96.07
51.78 95.94
53.85 95.81
55.93 96.77
58 98.07
60.07 96.89
62.14 98.29
64.21 98.67
66.28 96.86
68.35 96.21
70.42 96.44
72.5 96
74.57 96.56
76.64 97.55
78.71 98.49
80.78 99.82
82.85 101.09
84.92 102.16
87 101.11
89.07 101.32
91.14 102.44
93.21 100.55
95.28 100.13
97.35 99.84
99.42 100.18
101.49 99.79
103.57 100.11