joel (joey172)

Race #20625

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Official speed 128.96 wpm (80.40 seconds elapsed during race)
Without ending ping 129.02 wpm (35 ms delay sending score to TypeRacer’s server)
Timerless 129.45 wpm (272 ms elapsed before first character typed; 80.09 seconds elapsed during race)
Timerless minus one 129.30 wpm, ignoring the first character typed
Race Start October 14, 2023 7:29:39pm UTC
Race Finish October 14, 2023 7:30:59pm UTC
Outcome Win (1 of 4)
Opponents 2. vixt (124.72 wpm)
Accuracy 98.0%
Points 348.20
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 CAlculalculus 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 fucnnction of time ? How deos oes the level of water in a barrel hchange as a function of the amount of liquid poured into it? We see change occurring in nearly everything we observe in the world and univesrerse, and popwerfwerful modern instrumnetents helpu 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, fbut for now we use an informal approach so you will see how they leadnat naturally to the main oidea of this ccahhaptehapter, the limit. The idea of a limit plays a foundational role throughout claalculus.
Timing
Character C A l c u l -l -u -c -l -A a l c u l u s i s a t
Milliseconds 272 86 128 73 106 106 177 115 127 123 128 104 92 89 202 92 109 189 75 80 63 73 74 71 82
Character o o l t h a t h e l p s u s u n d e r s t
Milliseconds 45 110 126 188 115 53 88 37 37 141 70 81 136 113 41 67 152 96 70 165 40 116 50 96 45
Character a n d h o w a c h a n g e i n o n e q
Milliseconds 61 70 81 61 59 56 72 34 85 61 88 73 55 71 80 71 40 44 62 53 107 44 77 81 76
Character u a n t i t y i s r e l a t e d t o a c
Milliseconds 42 104 53 97 50 156 69 73 59 82 65 94 78 79 76 45 95 135 117 147 44 70 46 81 60
Character h a n g e i n a n o t h e r . h o w - -w -o
Milliseconds 30 131 15 41 74 63 32 62 109 53 50 50 60 75 34 72 76 45 175 82 135 87 192 113 137
Character -h H o w d o e s t h e s p e e d o f a
Milliseconds 110 178 135 85 96 72 68 66 75 36 49 36 54 67 82 41 90 158 122 180 142 60 113 39 53
Character f a l l i n g o b j e c t c h a n g e a s
Milliseconds 92 70 46 111 56 69 51 85 60 123 80 70 111 85 40 126 29 98 53 26 86 95 49 56 42
Character a f u c n -n -c n c t i o n o f t i m e - ?
Milliseconds 88 21 138 63 111 46 350 113 152 65 105 55 36 40 69 80 6 100 42 50 59 93 166 301 215
Character H o w d e o s - -s -o -e o e s t h e l e v
Milliseconds 106 146 132 71 95 56 100 17 88 75 257 114 152 76 170 71 41 48 82 35 36 78 51 23 138
Character e l o f w a t e r i n a b a r r e l h
Milliseconds 41 66 71 45 55 96 56 58 62 86 49 77 12 46 61 78 69 102 89 61 109 57 96 81 221
Character -h c h a n g e a s a f u n c t i o n o f
Milliseconds 240 63 95 79 50 48 73 71 96 51 39 59 56 116 67 140 40 130 40 36 46 130 112 62 128
Character t h e a m o u n t o f l i q u i d p o u r
Milliseconds 67 69 15 121 83 67 94 49 114 81 86 95 108 73 112 80 141 96 80 93 68 79 137 45 61
Character e d i n t o i t ? W e s e e c h a n g e
Milliseconds 71 95 56 58 41 82 76 85 106 65 172 55 212 165 95 55 117 110 66 110 63 103 40 98 59
Character o c c u r r i n g i n n e a r l y e v e r
Milliseconds 59 71 50 106 86 97 117 196 52 72 121 60 80 136 126 83 63 70 65 87 54 82 136 85 61
Character y t h i n g w e o b s e r v e i n t h e
Milliseconds 70 95 64 64 68 41 103 82 46 66 82 109 97 79 53 109 74 102 30 52 73 50 65 46 53
Character w o r l d a n d u n i v e s r e -e -r -s r s e ,
Milliseconds 99 74 81 56 116 42 114 80 55 34 86 143 47 77 224 170 20 99 236 111 111 75 83 68 101
Character a n d p o p w e r f -f -r -e -w -p w e r f u l m
Milliseconds 61 116 55 76 71 265 131 17 56 37 52 123 183 116 124 136 123 62 62 35 126 60 71 75 196
Character o d e r n i n s t r u m n e t -t -e -n e n t s h
Milliseconds 107 76 115 49 57 60 80 71 75 70 115 47 186 160 15 228 150 115 106 81 73 42 76 29 71
Character e l p u - -u u s s e e m o r e a n d m
Milliseconds 166 93 108 141 35 252 111 110 97 84 95 112 70 127 96 58 56 54 51 46 65 55 72 40 76
Character o r e . I n t h i s s e c t i o n w e i
Milliseconds 38 37 65 76 33 164 120 74 60 41 36 80 36 111 53 143 75 60 34 42 71 70 56 95 81
Character n t r o d u c e t h e i d e a s o f a v e
Milliseconds 57 38 132 34 98 89 71 111 70 95 39 97 53 63 62 116 46 92 98 46 99 68 97 96 70
Character r a g e a n d i n s t a n t a n e o u s r a
Milliseconds 55 49 67 49 50 73 80 85 87 90 70 96 71 111 13 496 198 101 157 136 45 70 100 46 142
Character t e s o f c h a n g e , a n d s h o w t
Milliseconds 80 64 62 44 61 36 110 63 78 82 70 22 87 61 54 68 47 83 126 34 55 46 101 65 24
Character h a t t h e y a r e c l o s e l y r e l a
Milliseconds 107 28 52 80 56 71 70 72 59 46 53 51 55 123 30 130 66 49 77 80 70 68 61 104 63
Character t e d t o t h e s l o p e o f a c u r
Milliseconds 41 50 107 43 72 53 74 39 81 61 94 58 38 131 72 64 44 86 50 116 16 93 47 106 19
Character v e a t a p o i n t P o n t h e c u
Milliseconds 156 60 46 89 299 105 61 59 88 210 44 67 46 120 100 143 109 59 46 54 72 41 60 192 80
Character r v e . W e g i v e p r e c i s e d e v e
Milliseconds 81 141 48 27 85 116 237 89 136 87 79 47 85 53 51 72 145 49 86 42 54 185 143 121 40
Character l o p m e n t s o f t h e s e i m p o r t a
Milliseconds 69 111 55 138 84 287 146 76 101 45 74 92 41 62 21 132 66 96 85 50 71 61 70 106 43
Character n t c o n c e p t s i n t h e n e x t c
Milliseconds 72 72 97 68 54 40 67 106 55 136 90 132 35 59 64 53 49 66 49 59 41 159 59 68 102
Character h a p t e r , f -f b u t f o r n o w w e
Milliseconds 61 91 135 115 102 61 55 54 93 260 86 76 75 49 116 26 70 59 56 47 49 97 49 73 84
Character u s e a n i n f o r m a l a p p r o a c h
Milliseconds 86 93 46 72 122 53 82 86 79 64 108 80 66 91 48 88 92 56 124 96 104 0 135 77 112
Character s o y o u w i l l s e e h o w t h e y
Milliseconds 124 71 58 80 46 82 50 37 64 41 90 85 24 67 91 54 67 50 91 44 55 72 45 131 35
Character l e a d n a t -t -a -n n a t u r a l l y t o t
Milliseconds 172 79 71 75 100 108 152 169 106 106 96 144 125 130 88 82 46 39 109 81 58 50 67 65 50
Character h e m a i n o -o i d e a o f t h i s c c
Milliseconds 61 72 56 102 112 45 69 73 65 397 116 72 108 62 30 156 86 86 38 55 36 54 58 116 75
Character a h -h -a h a p t e -c -h -a -p -t -e h a p t e r , t h
Milliseconds 80 35 277 106 146 71 54 91 82 536 0 0 0 0 0 90 99 42 98 70 69 26 53 69 33
Character e l i m i t . T h e i d e a o f a l i
Milliseconds 68 63 40 68 108 51 77 105 135 162 126 184 116 50 71 124 46 42 66 69 82 13 83 75 71
Character m i t p l a y s a f o u n d a t i o n a l
Milliseconds 100 66 91 34 127 91 79 80 97 53 98 35 106 44 55 101 44 108 39 40 45 35 82 58 72
Character r o l e t h r o u g h o u t c l a -a -l a l c u
Milliseconds 70 51 100 60 97 49 127 116 25 81 92 48 101 118 129 71 113 97 50 358 86 59 95 76 147
Character l u s .
Milliseconds 126 101 116 70
WPM Timing
Seconds WPM
1.61 14.93
3.22 67.17
4.82 89.56
6.43 111.94
8.04 120.9
9.65 129.36
11.26 117.28
12.86 120.34
14.47 125.21
16.08 122.39
17.69 120.76
19.3 116.3
20.9 121.7
22.51 122.07
24.12 123.89
25.73 124.54
27.33 124.24
28.94 125.21
30.55 126.48
32.16 128.36
33.77 126.52
35.37 124.5
36.98 122.33
38.59 120.65
40.2 119.41
41.81 121.13
43.41 123
45.02 124.21
46.63 123.78
48.24 124.63
49.85 126.87
51.45 128.27
53.06 128.68
54.67 129.07
56.28 129
57.89 128.53
59.49 129.29
61.1 130.21
62.71 129.93
64.32 130.79
65.93 131.42
67.53 131.85
69.14 130.69
70.75 130.43
72.36 129.19
73.97 128.66
75.57 128.78
77.18 129.36
78.79 129.92
80.4 128.96