Jon (jlachney)

Race #30976

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Official speed 121.19 wpm (85.55 seconds elapsed during race)
Without ending ping 121.34 wpm (104 ms delay sending score to TypeRacer’s server)
Timerless 121.72 wpm (266 ms elapsed before first character typed; 85.18 seconds elapsed during race)
Timerless minus one 121.57 wpm, ignoring the first character typed
Race Start December 30, 2023 11:21:44pm UTC
Race Finish December 30, 2023 11:23:09pm UTC
Outcome No win (10 of 13)
Opponents 1. mth_quitless (159.03 wpm)
2. pastashapes (158.90 wpm)
3. syrupsandwich (155.91 wpm)
4. ginoo75 (152.93 wpm)
5. pokenonquit (152.27 wpm)
6. primalknight (151.15 wpm)
7. keegant (149.00 wpm)
8. hospitalforsouls2 (137.24 wpm)
9. charlieog (135.98 wpm)
11. zak389 (113.09 wpm)
12. jepslol (112.64 wpm)
Accuracy 97.0%
Points 327.22
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 Calculus is a tol thool that help sus elps us understand how a chancwe inhange in one quantity is related to a chance in hange in another. oHow does the speed of a falling object chance age as a function of time> H? How does the level of water in a barrel chance ge anss a cfunctionm of unction of the mamount of liquid pourdded into it? We see cahhance oge occurerring in a neaearly everytihin g we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we iinntroduce the ideas of averraage and instantenaneous rates of change, and shsshow 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 se o you will see how they lead naturally to the main idea of thei is chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o l t h -o -l - -t -h
Milliseconds 266 121 61 71 93 137 142 71 5 59 79 33 95 58 68 151 152 72 47 69 390 0 0 0 0
Character o o l t h a t h e l p s u s -e -l -p - -s -u -s
Milliseconds 44 118 141 76 42 78 62 11 64 95 58 43 23 113 4 78 88 13 577 0 0 0 0 0 0
Character - e l p s u s u n d e r s t a n d h o w a
Milliseconds 0 59 89 23 94 36 98 113 48 60 52 40 89 84 90 62 98 55 62 58 34 114 58 43 118
Character c h a n c w e i n -h -a -n -c -w -e - -i -n h a n g e
Milliseconds 40 102 51 70 91 59 46 4 28 36 45 389 0 0 0 0 0 0 0 0 62 56 106 30 38
Character i n o n e q u a n t i t y i s r e l a t
Milliseconds 30 63 28 74 104 32 54 31 116 44 124 30 225 90 44 127 23 79 62 50 121 26 94 38 64
Character e d t o a c h a n c e i n -h -a -n -c -e - -i
Milliseconds 52 109 64 78 27 73 54 103 36 66 76 94 36 57 32 52 34 115 336 0 0 0 0 0 0
Character -n - h a n g e i n a n o t h e r . o -o H o w
Milliseconds 0 0 54 54 93 29 51 7 67 22 77 37 54 97 76 56 52 49 106 84 217 224 259 119 39
Character d o e s t h e s p e e d o f a f a l l
Milliseconds 70 79 72 78 7 66 90 84 154 133 45 99 44 126 48 44 55 68 70 323 112 90 6 105 104
Character i n g o b j e c t c h a n c e a -a - -e -c g e
Milliseconds 107 55 37 38 68 88 58 70 60 147 38 114 45 82 98 48 58 74 83 258 249 140 121 75 26
Character a s a f u n c t i o n o f t i m e > H
Milliseconds 43 108 24 61 78 72 48 54 40 65 164 18 12 140 40 63 48 60 68 52 24 32 199 111 76
Character -H - -> ? H o w d o e s t h e l e v e l o
Milliseconds 184 121 294 143 144 102 145 42 72 66 68 77 24 31 127 70 48 28 81 92 79 59 34 87 62
Character f w a t e r i n a b a r r e l c h a n c
Milliseconds 48 94 25 31 133 40 92 52 67 29 105 74 84 64 65 74 138 42 34 95 124 82 56 103 66
Character e - -e -c g e a n s -s -n s a c -c f u n c t i
Milliseconds 50 128 186 139 106 27 25 61 102 68 138 159 102 64 66 43 90 108 203 46 395 74 48 149 26
Character o n m o f -u -n -c -t -i -o -n -m - -o -f - u n c t i o
Milliseconds 16 136 13 47 68 28 73 384 0 0 0 0 0 0 0 0 0 0 0 85 34 88 157 10 28
Character n o f t h e m -m a m o u n t o f l i q u
Milliseconds 132 64 79 70 104 78 64 59 58 78 221 80 94 136 48 145 56 44 66 79 34 74 170 110 33
Character i d p o u r d -d d -d e d i n t o i t ? W e
Milliseconds 38 104 36 78 43 192 30 148 267 76 291 23 45 50 57 45 97 72 56 90 49 174 126 9 172
Character s e e c a h -h -a h a n c e o -o - -e -c g e o
Milliseconds 68 100 63 122 50 74 207 117 192 88 180 66 99 38 44 34 56 347 165 142 108 64 31 50 72
Character c c u r e r -r -e r i n g i n a n e a -a - -e -a
Milliseconds 96 121 28 128 10 184 139 128 63 140 22 95 31 62 30 67 68 94 23 61 40 309 0 0 0
Character e a r l y e v e r y t i -i h i n - g w e o
Milliseconds 64 55 100 70 86 82 50 83 100 68 30 114 95 210 207 87 34 190 192 64 65 94 42 160 88
Character b s e r v e i n t h e w o r l d a n d u
Milliseconds 177 124 195 162 171 56 88 54 171 90 105 51 94 74 83 56 72 135 62 96 72 51 85 47 70
Character n i v e r s e , a n d p o w e r f u l m o d
Milliseconds 127 130 68 144 79 102 46 106 83 91 59 86 26 110 45 72 160 28 167 27 181 107 76 74 112
Character e r n i n s t r u m e n t s h e l p u s s
Milliseconds 87 64 56 66 100 40 153 62 38 54 155 118 70 72 45 134 60 56 90 13 242 90 113 64 140
Character e e m o r e a n d m o r e . I n t h i s
Milliseconds 93 126 50 56 33 41 21 56 90 40 74 48 58 40 52 27 132 119 94 138 58 52 62 49 63
Character s e c t i o n w e i i n -n -i n t r o d u c e
Milliseconds 87 84 340 80 192 56 8 150 33 71 26 61 100 201 78 417 108 149 51 28 69 89 86 82 42
Character t h e i d e a s o f a v e r r a -a -r a g e
Milliseconds 49 93 23 56 52 68 56 145 72 6 188 49 49 97 25 94 98 114 65 176 256 111 58 37 55
Character a n d i n s t a n t e n -n -e a n e o u s r a
Milliseconds 98 86 53 58 49 67 34 95 135 539 60 88 132 151 194 122 51 141 91 109 71 60 44 79 74
Character t e s o f c h a n g e , a n d s h s -s -h s
Milliseconds 105 27 47 58 31 72 58 286 42 100 90 54 45 115 62 25 82 59 39 55 131 4 333 127 254
Character -s h o w t h a t t h e y a r e c l o s e l
Milliseconds 211 46 308 47 109 45 61 55 39 55 85 39 72 57 32 105 48 55 47 99 54 104 42 19 111
Character y r e l a t e d t o t h e s l o p e o f
Milliseconds 45 55 93 18 90 40 54 50 117 42 120 37 67 29 60 30 90 45 87 139 36 61 44 66 52
Character a c u r v e a t a p o i n t P o n
Milliseconds 69 71 83 107 129 70 154 38 136 102 34 67 94 64 78 18 169 20 36 68 100 91 138 90 70
Character t h e c u r v e . W e g i v e p r e c i s
Milliseconds 37 71 20 58 99 54 87 155 51 64 80 85 130 90 89 63 97 36 46 57 88 30 147 72 88
Character e d e v e l o p m e n t s o f t h e s e i
Milliseconds 28 39 77 75 108 42 52 122 30 160 64 87 33 56 27 58 70 60 90 64 20 135 78 54 60
Character m p o r t a n t c o n c e p t s i n t h e
Milliseconds 22 157 30 62 30 101 58 44 60 122 18 49 84 52 74 78 58 71 64 80 56 76 32 52 52
Character n e x t c h a p t e r , b u t f o r n o w
Milliseconds 77 31 137 167 50 114 44 91 66 68 103 45 73 60 80 72 94 36 101 44 106 29 59 32 61
Character w e u s e a n i n f o r m a l a p p r o
Milliseconds 70 96 42 64 75 80 74 165 74 82 46 114 79 88 140 86 58 105 46 63 93 245 139 86 108
Character a c h s e - -e o y o u w i l l s e e h
Milliseconds 98 62 73 93 79 84 57 300 105 48 102 30 58 46 71 40 62 158 117 40 23 35 126 29 76
Character o w t h e y l e a d n a t u r a l l y t o
Milliseconds 138 36 68 68 55 46 50 34 84 68 28 109 52 76 54 72 78 87 22 98 124 41 43 111 36
Character t h e m a i n i d e a o f t h e i - -i
Milliseconds 76 69 46 54 56 69 81 46 43 64 72 9 127 42 47 52 74 64 82 40 49 28 136 239 136
Character -e i s c h a p t e r , t h e l i m i t . T
Milliseconds 122 85 85 26 143 165 160 48 135 102 54 78 67 34 66 59 29 98 135 84 58 90 113 106 18
Character h e i d e a o f a l i m i t p l a y s
Milliseconds 120 37 120 60 31 143 25 31 55 77 67 60 81 633 139 74 82 79 33 87 10 59 44 173 171
Character a f o u n d a t i o n a l r o l e t h r o u
Milliseconds 76 99 218 50 20 175 82 98 70 28 21 116 66 76 58 27 79 163 8 97 98 42 507 113 61
Character g h o u t c a l c u l u s .
Milliseconds 60 89 174 41 56 72 112 74 91 48 82 628 128 263 92
WPM Timing
Seconds WPM
1.71 105.2
3.42 87.67
5.13 95.85
6.84 94.68
8.56 109.41
10.27 106.37
11.98 109.21
13.69 113.97
15.4 117.67
17.11 114.32
18.82 111.58
20.53 115.72
22.24 119.23
23.95 114.72
25.67 107.54
27.38 108.27
29.09 109.74
30.8 109.88
32.51 106.68
34.22 104.5
35.93 105.87
37.64 104.24
39.35 104.59
41.06 106.08
42.78 107.44
44.49 108.44
46.2 110.91
47.91 110.21
49.62 110.76
51.33 110.81
53.04 109.05
54.75 110.46
56.46 108.6
58.18 111.18
59.89 112.81
61.6 113.97
63.31 115.06
65.02 116.64
66.73 118.51
68.44 119.58
70.15 120.25
71.86 119.39
73.57 120.86
75.29 122.25
77 121.56
78.71 122.12
80.42 121.91
82.13 122.29
83.84 122.09
85.55 121.19