Smurferino (smurfaccount1337)

Race #7158

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Official speed 134.88 wpm (76.87 seconds elapsed during race)
Without ending ping 135.50 wpm (352 ms delay sending score to TypeRacer’s server)
Timerless 135.87 wpm (208 ms elapsed before first character typed; 76.31 seconds elapsed during race)
Timerless minus one 135.71 wpm, ignoring the first character typed
Race Start December 15, 2023 4:20:05pm UTC
Race Finish December 15, 2023 4:21:21pm UTC
Outcome Win (1 of 4)
Opponents 2. wx8_ (130.61 wpm)
3. poem (129.04 wpm)
Accuracy 98.4%
Points 364.17
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 change in one oqquantity is related to a change in another. How does the speed of a falling objectc change as a function of time? How does the level of water in a batrrell c change as a function of the amount of liquid poured into it? We see change occurring is n nearly everything we observe in the world and universe, and powerrful 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 pricerecise developments of these important concepts in the next chapter, but forn ow or now we use an informal approach so you will see how they lead naturally to the main idea of this chapter, the limit. THe idahe dieadea of a limiit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 208 182 34 112 84 82 102 92 109 39 102 73 102 74 51 35 144 174 55 64 49 44 75 59 126
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 49 48 49 131 17 89 85 64 57 71 65 59 101 127 187 105 113 80 101 34 69 17 86 92 80
Character c h a n g e i n o n e o q -q -o q u a n t i t
Milliseconds 70 72 53 94 47 55 38 78 52 72 118 49 90 79 23 129 171 111 100 123 52 162 66 105 73
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 159 44 85 37 99 91 76 51 64 68 59 155 26 93 48 92 128 102 61 60 95 56 63 36 66
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 41 74 72 47 48 53 85 42 84 79 73 62 139 92 44 40 108 28 101 50 59 84 50 33 100
Character s p e e d o f a f a l l i n g o b j e c t
Milliseconds 139 92 103 156 156 85 8 123 92 93 78 71 53 51 144 89 39 66 54 51 146 76 58 37 103
Character c - -c c h a n g e a s a f u n c t i o n
Milliseconds 131 207 198 133 177 126 80 88 63 89 37 92 143 61 74 114 80 45 66 66 81 65 31 49 65
Character o f t i m e ? H o w d o e s t h e l e
Milliseconds 50 86 54 59 47 47 38 120 195 132 89 156 34 45 101 52 79 74 30 101 42 76 11 175 94
Character v e l o f w a t e r i n a b a t -t r r e
Milliseconds 155 62 57 79 100 47 103 59 104 98 62 91 71 74 54 84 119 92 91 53 89 247 99 148 60
Character l l c -c - -l c h a n g e a s a f u n c t
Milliseconds 78 189 101 69 241 120 105 66 65 73 62 79 29 52 54 83 82 80 114 76 67 70 50 70 45
Character i o n o f t h e a m o u n t o f l i q u
Milliseconds 29 50 64 71 70 59 60 78 8 49 78 56 62 58 98 101 10 71 35 87 68 59 61 59 106
Character i d p o u r e d i n t o i t ? W e s e e
Milliseconds 176 84 54 71 144 173 67 248 148 77 79 61 54 77 91 56 101 160 56 77 193 79 57 119 145
Character c h a n g e o c c u r r i n g i s - -s n
Milliseconds 35 173 44 68 70 41 55 32 47 112 154 122 91 145 109 16 60 117 61 116 143 161 121 119 48
Character n e a r l y e v e r y t h i n g w e o b s e
Milliseconds 93 28 99 67 86 108 56 64 127 96 67 161 143 61 15 121 57 50 40 82 77 65 65 24 77
Character r v e i n t h e w o r l d a n d u n i v
Milliseconds 58 192 32 81 55 80 50 52 53 20 105 61 80 77 120 69 76 92 61 45 91 55 94 79 48
Character e r s e , a n d p o w e r r -r f u l m o d e
Milliseconds 82 110 110 85 91 64 52 98 17 59 48 45 40 77 83 115 362 44 111 124 115 96 49 102 142
Character r n i n s t r u m e n t s h e l p u s s e
Milliseconds 127 163 167 38 84 96 79 149 29 221 85 66 59 80 50 97 57 61 39 115 118 55 59 185 49
Character e m o r e a n d m o r e . I n t h i s
Milliseconds 195 78 60 51 12 46 67 57 36 77 45 56 45 35 53 107 99 121 149 66 58 66 29 66 75
Character s e c t i o n w e i n t r o d u c e t h e
Milliseconds 107 78 158 63 58 53 72 54 53 74 60 122 65 72 28 154 85 109 66 97 95 82 47 43 88
Character i d e a s o f a v e r a g e a n d i n s t
Milliseconds 56 35 123 70 90 69 69 51 95 34 135 53 117 90 99 50 50 86 29 86 33 65 76 108 99
Character a n t a n e o u s r a t e s o f c h a n g e
Milliseconds 80 61 74 89 77 161 106 78 94 113 88 137 97 79 132 121 26 105 72 111 41 44 100 46 52
Character , a n d s h o w t h a t t h e y a r e
Milliseconds 111 28 132 82 12 100 40 95 52 45 67 62 59 55 86 52 78 43 49 89 57 89 93 58 22
Character c l o s e l y r e l a t e d t o t h e s l
Milliseconds 166 49 153 49 71 76 100 80 126 61 60 83 45 64 173 80 107 57 78 59 47 29 74 98 51
Character o p e o f a c u r v e a t a p o i n t
Milliseconds 153 45 44 77 72 46 80 61 110 61 102 88 184 82 103 76 97 52 79 93 42 66 149 77 43
Character P o n t h e c u r v e . W e g i v e
Milliseconds 41 91 91 99 86 44 61 22 35 78 115 39 116 174 45 118 37 118 149 52 111 61 109 67 42
Character p r i c e -r -i -c -e r e c i s e d e v e l o p m e
Milliseconds 25 73 94 109 60 537 0 0 0 79 52 142 132 404 77 146 253 76 146 42 17 153 43 123 71
Character n t s o f t h e s e i m p o r t a n t c o
Milliseconds 93 30 173 82 77 39 104 54 47 57 95 107 66 40 77 70 78 76 214 75 69 46 63 160 37
Character n c e p t s i n t h e n e x t c h a p t e
Milliseconds 75 70 41 66 95 66 73 84 34 66 63 87 31 90 53 54 126 99 121 112 81 50 84 66 90
Character r , b u t f o r n o w -o -r -n - -o -w - o r
Milliseconds 118 107 60 115 46 41 68 110 33 110 72 8 48 103 77 420 0 0 0 0 0 0 64 76 60
Character n o w w e u s e a n i n f o r m a l a p
Milliseconds 66 41 30 58 82 54 71 66 49 34 96 70 72 60 72 82 52 66 87 72 59 90 66 76 170
Character p r o a c h s o y o u w i l l s e e h o
Milliseconds 181 164 98 61 96 43 71 52 91 58 60 64 36 50 52 24 67 147 84 42 66 166 68 64 28
Character w t h e y l e a d n a t u r a l l y t o
Milliseconds 56 74 95 41 35 128 107 27 60 71 104 62 78 42 75 53 113 40 49 122 64 51 99 45 98
Character t h e m a i n i d e a o f t h i s c h a
Milliseconds 45 45 48 71 74 94 47 62 63 96 25 146 43 75 40 69 86 57 32 98 146 74 149 63 55
Character p t e r , t h e l i m i t . T H e i d a -H
Milliseconds 87 64 66 99 105 85 48 44 29 105 133 77 135 78 76 98 76 91 49 103 64 49 68 141 702
Character -e - -i -d -a h e d i e a -d -e -a d e a o f a l
Milliseconds 0 0 0 0 0 163 39 60 101 10 159 31 458 0 0 156 154 71 65 48 58 83 55 103 34
Character i m i i -i t p l a y s a f o u n d a t i o n
Milliseconds 43 101 13 292 361 91 51 85 53 54 114 78 263 86 102 57 53 78 47 41 212 158 164 63 61
Character a l r o l e t h r o u g h o u t c a l c u l
Milliseconds 97 79 101 39 43 143 35 66 45 96 78 58 72 104 75 152 54 122 72 146 45 30 89 64 75
Character u s .
Milliseconds 74 115 67
WPM Timing
Seconds WPM
1.54 124.89
3.07 144.4
4.61 143.1
6.15 132.69
7.69 135.82
9.22 141.8
10.76 142.73
12.3 142.45
13.84 136.16
15.37 138.94
16.91 139.79
18.45 137.9
19.99 132.09
21.52 136.6
23.06 137.38
24.6 136.11
26.14 136.37
27.67 134
29.21 135.16
30.75 136.6
32.28 137.53
33.82 134.82
35.36 135.07
36.9 136.6
38.43 137.38
39.97 138.1
41.51 138.77
43.05 138.27
44.58 139.69
46.12 139.98
47.66 140.75
49.2 140.5
50.73 140.97
52.27 138.89
53.81 137.38
55.35 137.9
56.88 138.18
58.42 138.24
59.96 136.9
61.49 137.57
63.03 138.03
64.57 138.83
66.11 139.59
67.64 139.97
69.18 138.59
70.72 136.26
72.26 135.52
73.79 135.13
75.33 135.24
76.87 134.88