Hoang (strawberry_pocky)

Race #14

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Official speed 103.65 wpm (100.03 seconds elapsed during race)
Without ending ping 103.99 wpm (330 ms delay sending score to TypeRacer’s server)
Timerless 104.08 wpm (79 ms elapsed before first character typed; 99.62 seconds elapsed during race)
Timerless minus one 103.96 wpm, ignoring the first character typed
Race Start May 8, 2024 1:21:06am UTC
Race Finish May 8, 2024 1:22:46am UTC
Outcome Win (1 of 2)
Accuracy 96.8%
Points 279.86
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 acCalculauus is a tool that helps us eununderstand how a hanchange in one quanitttity is related to a change in another. How does the speed of a lfalling object change as af function of time? How does the level of water in a barrenl change as a function of the amount of liquid puredoured into it? We see change occurirring in nearly everything we obsenrve in the world and universe, and powerful modern insturruments help us see more and more. In this section we introduce the ideas of average and instantatneous rates of change, and show that they are closely realtelated to the slope of a cruveurve at a point P on the curevve . We give precise developments of these important concepts in the next chapter, but for now we use an infomrrmal appraocoach so you will see how they lead naturally to thte e main diea idea of this cahapter, the limit. The idea of a liimit play s as a foundational raoole throughout calculus.
Timing
Character a c -c -a C a l c u l a u -u -a u s i s a t o o
Milliseconds 79 100 401 235 134 135 143 408 61 118 112 117 182 122 115 89 32 125 122 31 167 69 172 21 109
Character l t h a t h e l p s u s e u n -n -u -e u n d
Milliseconds 129 80 89 86 49 81 62 74 85 70 92 88 26 86 82 83 74 48 78 214 122 136 196 63 10
Character e r s t a n d h o w a h a n -n -a -h c h a n g
Milliseconds 98 44 114 122 53 51 95 89 44 100 62 39 127 50 155 167 79 217 120 140 114 102 63 110 60
Character e i n o n e q u a n i t t -t -t -i t i t y i
Milliseconds 80 79 21 62 82 87 83 51 73 162 76 136 53 128 10 151 256 119 132 127 55 99 67 73 86
Character s r e l a t e d t o a c h a n g e i n
Milliseconds 79 36 138 92 466 82 87 134 72 84 78 55 81 96 88 146 81 98 53 91 74 38 62 17 70
Character a n o t h e r . H o w d o e s t h e s p e
Milliseconds 64 52 122 42 102 69 65 72 54 236 156 83 78 91 112 212 191 70 94 54 62 68 98 90 127
Character e d o f a l -l f a l l i n g o b j e c t
Milliseconds 234 68 163 42 106 75 476 123 133 247 87 86 26 129 132 58 55 56 94 109 124 66 68 161 53
Character c h a n g e a s a f -f f u n c t i o n o f
Milliseconds 117 62 114 107 149 70 100 100 90 108 63 254 266 78 104 94 141 10 199 39 58 103 67 68 85
Character t i m e ? H o w d o e s t h e l e v e l
Milliseconds 50 132 37 86 73 602 182 198 119 88 68 97 100 37 183 80 90 59 34 79 67 43 127 70 62
Character o f w a t e r i n a b a r r e n -n l c
Milliseconds 35 138 82 114 49 140 66 102 73 21 48 54 95 31 119 69 84 90 127 80 85 268 147 71 163
Character h a n g e a s a f u n c t i o n o f t h
Milliseconds 74 64 111 123 64 162 137 63 69 85 78 105 67 66 54 165 32 49 102 98 65 19 102 47 45
Character e a m o u n t o f l i q u i d p u r e d -d
Milliseconds 60 74 91 65 94 68 150 0 102 55 47 128 32 74 65 121 69 122 61 117 544 116 118 85 176
Character -e -r -u o u r e d i n t o i t ? W e s e e
Milliseconds 136 150 138 113 67 80 85 79 71 34 56 93 71 64 189 95 218 114 170 155 74 73 141 123 62
Character c h a n g e o c c u r i r -r -i r i n g i n n
Milliseconds 90 94 51 87 79 38 101 149 86 132 115 70 73 152 158 111 117 62 66 112 46 63 55 84 229
Character e a r l y e v e r y t h i n g w e o b s e n
Milliseconds 116 52 43 58 129 69 77 128 73 93 91 101 69 66 65 58 108 52 166 73 178 113 37 149 104
Character -n r v e i n t h e w o r l d a n d u n i
Milliseconds 295 89 259 71 155 63 63 64 38 84 34 95 68 75 63 98 90 89 70 39 78 85 271 63 117
Character v e r s e , a n d p o w e r f u l m o d e r
Milliseconds 86 98 169 160 124 77 64 59 59 53 65 73 77 45 124 55 143 54 120 49 113 64 84 110 135
Character n i n s t u r -r -u r u m e n t s h e l p u s
Milliseconds 220 183 85 69 149 105 110 32 222 115 98 50 133 117 100 66 131 53 78 87 91 60 90 278 142
Character s e e m o r e a n d m o r e . I n t h
Milliseconds 73 221 210 124 57 53 88 27 39 80 92 25 117 38 77 55 70 61 83 85 153 70 47 76 84
Character i s s e c t i o n w e i n t r o d u c e t
Milliseconds 64 53 91 93 215 71 178 43 61 99 61 59 131 49 213 128 498 100 101 93 74 223 154 163 38
Character h e i d e a s o f a v e r a g e a n d i
Milliseconds 54 74 86 83 53 71 77 129 88 28 107 70 94 117 85 80 103 100 68 68 82 63 30 126 51
Character n s t a n t a t -t n e o u s r a t e s o f c
Milliseconds 48 79 337 98 62 103 101 95 525 136 175 121 69 79 103 79 67 96 66 157 51 66 82 67 350
Character h a n g e , a n d s h o w t h a t t h e y
Milliseconds 101 95 86 90 73 53 86 64 53 82 73 79 53 65 95 106 59 82 53 70 58 202 26 144 35
Character a r e c l o s e l y r e a l t e -e -t -l -a l a
Milliseconds 99 78 74 70 30 135 31 130 21 134 32 101 102 16 79 85 0 165 113 121 133 150 134 134 71
Character t e d t o t h e s l o p e o f a c r u
Milliseconds 59 104 87 57 110 24 43 72 60 75 52 116 51 136 132 118 36 112 64 118 69 115 66 151 0
Character v e -e -v -u -r u r v e a t a p o i n t P o
Milliseconds 194 88 204 119 149 144 126 30 207 59 144 234 129 45 109 63 179 157 123 130 146 276 157 156 69
Character n t h e c u r e v -v -e v e - . W e g i v
Milliseconds 69 62 380 68 63 70 86 86 57 142 193 176 111 95 66 154 421 164 49 218 154 79 112 59 95
Character e p r e c i s e d e v e l o p m e n t s o f
Milliseconds 50 33 73 45 67 133 62 87 133 53 96 65 126 73 36 123 74 136 67 85 83 154 82 64 83
Character t h e s e i m p o r t a n t c o n c e p t s
Milliseconds 46 77 57 66 152 164 52 83 83 121 54 34 145 85 12 136 154 142 82 66 72 57 89 105 135
Character i n t h e n e x t c h a p t e r , b u t
Milliseconds 118 33 61 83 26 97 32 60 60 47 150 134 48 138 90 9 444 102 110 69 48 90 78 102 37
Character f o r n o w w e u s e a n i n f o m r
Milliseconds 70 109 37 115 22 28 133 99 69 101 180 107 132 85 147 85 94 71 119 46 68 97 196 176 16
Character -r -m r m a l a p p r a o c -c -o -a o a c h s o
Milliseconds 403 108 131 44 125 286 162 184 84 118 117 117 114 106 226 135 132 104 20 79 102 96 25 277 96
Character y o u w i l l s e e h o w t h e y l e a
Milliseconds 85 107 79 68 81 86 115 116 156 112 146 137 62 67 75 59 51 82 59 43 103 37 126 69 50
Character d n a t u r a l l y t o t h t e - -e -t e
Milliseconds 60 56 98 39 119 75 99 54 84 116 104 92 34 63 71 24 93 68 17 137 297 119 131 100 16
Character m a i n d i e a - -a -e -i -d i d e a o f t h
Milliseconds 97 97 37 85 47 118 0 120 61 108 175 122 139 142 147 592 80 77 56 37 60 84 40 110 39
Character i s c a -a h a p t e r , t h e l i m i t .
Milliseconds 92 74 79 100 98 459 126 102 116 249 102 52 81 68 62 56 68 44 114 160 94 98 52 135 67
Character T h e i d e a o f a l i i -i m i t p l a
Milliseconds 221 77 66 136 110 77 63 53 41 81 69 51 67 66 87 115 235 268 115 94 46 79 103 61 82
Character y s a -a - -s - s a f o u n d a t i o n a l
Milliseconds 106 64 52 168 48 161 125 134 127 85 93 71 107 110 123 78 148 46 104 84 66 46 105 299 89
Character r a o -o -a o l e t h r o u g h o u t c a l c
Milliseconds 96 102 83 104 193 120 131 116 62 102 52 57 108 31 53 124 100 140 70 237 169 273 107 134 100
Character u l u s .
Milliseconds 102 119 260 103 95
WPM Timing
Seconds WPM
2 35.99
4 71.98
6 79.98
8 80.98
10 82.78
12 87.97
14 95.97
16 97.47
18.01 96.64
20.01 95.97
22.01 96.52
24.01 99.47
26.01 100.59
28.01 104.11
30.01 105.17
32.01 102.72
34.01 103.38
36.01 103.3
38.01 104.18
40.01 104.97
42.01 105.68
44.01 104.97
46.01 104.84
48.01 106.97
50.01 106.29
52.02 107.28
54.02 107.08
56.02 106.68
58.02 108.18
60.02 107.57
62.02 108.74
64.02 106.66
66.02 106.15
68.02 104.62
70.02 105.57
72.02 106.3
74.02 107.32
76.02 107.81
78.02 107.51
80.02 106.17
82.02 105.77
84.02 106.83
86.02 106.71
88.03 104.97
90.03 104.64
92.03 105.36
94.03 104.91
96.03 104.47
98.03 104.42
100.03 103.65