Jason (bigswass)

Race #4648

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Official speed 111.50 wpm (92.99 seconds elapsed during race)
Without ending ping 111.76 wpm (216 ms delay sending score to TypeRacer’s server)
Timerless 112.12 wpm (298 ms elapsed before first character typed; 92.47 seconds elapsed during race)
Timerless minus one 111.99 wpm, ignoring the first character typed
Race Start January 5, 2024 4:32:46pm UTC
Race Finish January 5, 2024 4:34:19pm UTC
Outcome No win (2 of 5)
Opponents 1. urchinonquit (124.98 wpm)
3. suhasmaddali007 (102.58 wpm)
Accuracy 97.2%
Points 301.05
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 calCalculus is a tool that helps us understand how a change in one quantity is related to a change in another. how How does the speed of a falling object change as a funciton unction of time? How does the ellevel of water in a barrel change as ta fucntiounction of the amount of liquid poourured into it? We see change occurring in nearly veryeverything we observe in the wolrld and universe, and pwoowerful omodern intstruments help us see more and more. In this section we introduct te the ideas of average and instantaneous rates of change, adn nd show that they are closely realtedlated to the slope oif a curve at a point P on the curve. We give precise developments of these important cocncepts 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 caphapter, tehe limit. The indeeadae ea of a limit plays wha foundational role throughout calculus.
Timing
Character c a l -l -a -c C a l c u l u s i s a t o o l
Milliseconds 298 124 106 316 99 72 212 137 67 105 109 133 170 106 67 74 68 68 106 83 88 51 105 116 47
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 63 64 63 87 45 119 82 37 46 122 65 55 114 55 242 67 45 146 41 117 58 92 76 64 53
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 67 57 8 97 59 72 165 105 77 99 59 69 75 21 65 76 117 72 78 62 123 100 148 52 175
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 75 73 138 65 49 79 61 161 67 84 73 92 77 128 73 80 126 26 108 58 127 86 74 75 22
Character e i n a n o t h e r . h o w - -w -o -h H o w
Milliseconds 75 79 17 69 67 62 85 82 50 51 52 108 64 74 172 69 53 67 266 126 68 117 233 238 181
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 83 331 73 80 91 15 102 20 46 56 127 69 80 124 135 63 104 35 97 49 73 144 56 107 116
Character i n g o b j e c t c h a n g e a s a f u
Milliseconds 90 72 25 49 102 115 115 95 92 70 123 162 76 131 56 56 90 60 90 85 27 101 64 110 61
Character n c i t o n -u -n -c -i -t -o -n - u n c t i o n o f
Milliseconds 52 90 150 19 62 41 82 658 0 0 0 0 0 0 0 108 61 11 185 12 38 44 39 96 34
Character t i m e ? H o w d o e s t h e e l -l -e l
Milliseconds 79 102 51 62 34 179 89 189 87 88 91 150 44 85 80 30 83 59 33 44 170 44 340 100 149
Character e v e l o f w a t e r i n a b a r r e l
Milliseconds 59 74 67 56 91 85 40 79 204 149 55 129 57 73 90 65 36 108 76 197 89 66 128 64 93
Character c h a n g e a s t -t a f u c n t i o -u -c -n
Milliseconds 113 181 88 90 60 34 72 83 66 67 58 81 269 159 59 130 83 67 9 175 8 74 443 0 0
Character -t -i -o u n c t i o n o f t h e a m o u n t
Milliseconds 0 0 0 51 63 42 184 40 87 40 91 66 74 167 123 28 46 60 166 109 87 410 179 102 25
Character o f l i q u i d p o o u r -r -u -o u r e d i n
Milliseconds 83 58 66 143 115 111 105 81 35 60 190 121 56 139 102 220 99 94 173 43 63 137 41 69 62
Character t o i t ? W e s e e c h a n g e o c c u
Milliseconds 58 73 65 72 68 168 100 196 89 119 94 51 128 51 125 110 29 126 12 499 57 85 78 147 68
Character r r i n g i n n e a r l y v e r y -y -r -e -v e
Milliseconds 82 128 110 44 41 63 51 59 42 306 97 96 63 68 100 37 221 83 71 75 231 114 67 122 118
Character v e r y t h i n g w e o b s e r v e i n t
Milliseconds 54 110 40 48 101 58 44 69 59 62 53 67 64 97 243 155 55 55 151 57 81 60 85 13 103
Character h e w o l -l r l d a n d u n i v e r s e ,
Milliseconds 46 76 116 185 97 146 396 117 93 59 58 100 70 51 36 229 78 138 110 72 43 140 31 107 111
Character a n d p w o -o -w o w e r f u l o -o m o d e r n
Milliseconds 72 82 65 40 185 139 39 362 120 79 66 56 34 134 63 84 82 220 280 144 73 51 153 42 79
Character i n t -t s t r u m e n t s h e l p u s s e
Milliseconds 89 74 59 66 416 63 53 67 49 174 182 83 45 83 106 102 65 17 57 62 112 35 94 271 51
Character e m o r e a n d m o r e . I n t h i s
Milliseconds 133 77 68 63 43 60 34 82 73 41 65 67 47 35 34 120 76 302 143 95 95 88 47 52 44
Character s e c t i o n w e i n t r o d u c t t -t - -t
Milliseconds 112 47 131 173 67 22 67 28 61 77 54 70 54 271 212 66 150 94 56 208 88 77 237 108 91
Character e t h e i d e a s o f a v e r a g e a n
Milliseconds 111 46 100 41 43 50 107 87 129 75 66 57 81 84 60 75 99 96 71 99 86 87 54 97 113
Character d i n s t a n t a n e o u s r a t e s o f
Milliseconds 36 51 73 90 138 90 121 441 185 114 427 255 103 63 37 56 163 132 82 65 78 28 81 68 43
Character c h a n g e , a d n - -n -d n d s h o w t h
Milliseconds 163 73 102 84 46 78 101 23 87 134 24 50 336 111 92 178 102 47 65 125 48 67 70 122 40
Character a t t h e y a r e c l o s e l y r e a l t
Milliseconds 97 71 57 73 37 55 80 86 60 85 43 35 153 94 136 4 60 80 68 75 107 63 72 38 90
Character e d -d -e -t -l -a l a t e d t o t h e s l o p e
Milliseconds 60 156 151 119 74 122 100 186 55 57 63 155 29 64 88 49 52 46 39 54 94 107 222 67 64
Character o i -i f a c u r v e a t a p o i n t
Milliseconds 46 213 5 322 235 66 66 97 218 106 43 125 60 82 145 73 69 77 88 468 56 69 52 20 32
Character P o n t h e c u r v e . W e g i v e p
Milliseconds 196 77 129 74 23 74 43 32 60 203 149 117 124 60 135 63 185 80 93 94 90 65 63 72 69
Character r e c i s e d e v e l o p m e n t s o f t h
Milliseconds 83 67 174 147 58 62 42 138 138 70 91 83 202 33 219 70 118 54 168 65 116 42 75 73 50
Character e s e i m p o r t a n t c o c -c n c e p t s
Milliseconds 136 124 84 43 77 70 164 62 53 65 108 148 76 73 148 28 164 422 146 38 85 106 74 90 65
Character i n t h e n e x t c h a p t e r , b u t
Milliseconds 49 63 58 55 38 48 50 80 57 173 61 70 131 77 88 94 38 89 60 78 88 92 75 28 64
Character f o r n o w w e u s e a n i n f o r m a
Milliseconds 115 39 64 61 51 60 39 93 88 67 65 132 89 23 74 83 42 92 107 68 42 135 59 93 64
Character l a p p r o a c h s o y o u w i l l s e
Milliseconds 94 57 204 146 114 64 429 90 70 90 138 422 69 35 209 46 61 13 76 85 125 111 60 44 58
Character e h o w t h e y l e a d n a t u r a l l y
Milliseconds 143 123 147 44 82 67 98 37 86 73 37 134 48 98 64 65 83 54 86 111 53 90 59 120 68
Character t o t h e m a i n i d e a o f t h i s
Milliseconds 51 184 21 110 82 27 53 50 71 63 90 73 35 162 118 126 80 50 65 70 75 88 38 104 38
Character c a p -p -a h a p t e r , t e -e h e l i m i t
Milliseconds 62 135 98 106 329 101 163 78 93 67 85 54 110 67 46 393 304 41 63 46 69 78 91 96 74
Character . T h e i n d e -e -d -n e a -a -e d a e - -e -a e
Milliseconds 116 87 142 79 57 53 111 90 20 145 186 111 86 175 85 298 100 45 170 0 105 289 90 108 75
Character a o f a l i m i t p l a y s w h -h -w a
Milliseconds 69 50 89 79 53 56 93 167 84 95 106 78 56 80 53 81 41 115 73 141 83 277 102 110 37
Character f o u n d a t i o n a l r o l e t h r o u g h
Milliseconds 146 32 80 133 13 126 66 36 30 48 89 69 80 167 43 121 31 67 98 35 114 45 53 90 46
Character o u t c a l c u l u s .
Milliseconds 132 70 25 81 114 65 47 106 106 174 176 75 108
WPM Timing
Seconds WPM
1.86 38.72
3.72 93.56
5.58 111.84
7.44 117.76
9.3 125.18
11.16 116.15
13.02 115.22
14.88 118.57
16.74 114.71
18.6 114.21
20.46 113.21
22.32 114.53
24.18 114.16
26.04 111.54
27.9 110.98
29.76 109.69
31.62 110.07
33.48 110.41
35.33 108.67
37.19 110.02
39.05 109.08
40.91 108.52
42.77 107.45
44.63 107.81
46.49 109.18
48.35 110.19
50.21 109.45
52.07 110.38
53.93 108.8
55.79 108.83
57.65 109.9
59.51 108.48
61.37 109.11
63.23 108.74
65.09 109.32
66.95 109.69
68.81 110.04
70.67 109.52
72.53 111.02
74.39 112.27
76.25 112.05
78.11 112
79.97 112.99
81.83 114.09
83.69 112.99
85.55 112.64
87.41 110.52
89.27 110.77
91.13 111.27
92.99 111.5