Ora Ora (eddyyang2003)

Race #942

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Official speed 106.00 wpm (97.81 seconds elapsed during race)
Without ending ping 106.14 wpm (125 ms delay sending score to TypeRacer’s server)
Timerless 106.61 wpm (436 ms elapsed before first character typed; 97.25 seconds elapsed during race)
Timerless minus one 106.49 wpm, ignoring the first character typed
Race Start May 12, 2024 4:33:29am UTC
Race Finish May 12, 2024 4:35:07am UTC
Outcome No win (2 of 5)
Opponents 1. pugslyyy (114.29 wpm)
4. rocketspdtyper (90.90 wpm)
5. aabossboy (77.36 wpm)
Accuracy 97.3%
Points 286.21
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 tol that helps us unederstand how a change in one quantity is realtelated to a change in another. How deooes 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 teh amhhe amount of liquidc poured into it? We see change coccuring ring in nearly everything we obser e ve in the world and iuniverse, and pwoeowerful modern instruments helps up 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 cureve. We give precise developments of these important concepts in the next chpaterapter, but for now we use an informa apl appraoach so you will see hotw teyhey lead naturally to the main idea of this chapter, the limit. THe ihe idea of a limit p.aylays a foundational role througouthout calculus.
Timing
Character C a l c u l u s i s a t o l t -t - -l o l
Milliseconds 436 183 115 115 202 124 101 148 92 94 71 152 101 94 76 80 216 118 82 230 128 121 190 145 68
Character t h a t h e l p s u s u n e -e d e r s t a n
Milliseconds 65 79 51 95 79 67 121 67 64 81 67 54 79 67 38 152 177 461 71 145 69 99 94 67 94
Character d h o w a c h a n g e i n o n e q u a
Milliseconds 54 79 59 49 30 104 66 101 84 59 66 98 44 85 66 64 67 51 174 71 80 77 106 87 167
Character n t i t y i s r e a l t e -e -t -l -a l a t e d
Milliseconds 66 123 81 91 79 203 163 90 74 89 26 76 62 119 71 247 132 129 99 188 39 69 54 151 41
Character t o a c h a n g e i n a n o t h e r . H
Milliseconds 84 67 87 85 102 73 56 89 67 77 61 57 93 75 37 68 67 52 29 90 43 70 76 7 481
Character o w d e o -o -e o e s t h e s p e e d o f
Milliseconds 102 299 115 107 206 60 364 111 172 41 76 53 56 84 20 120 108 79 55 133 133 72 75 57 115
Character a f a l l i n g o b j e c t c h a n g e a
Milliseconds 72 118 77 81 95 138 50 60 48 78 53 96 65 79 171 121 70 107 64 91 68 52 56 67 71
Character s a f u n c t i o n o f t i m e ? H o w
Milliseconds 63 90 96 79 69 71 170 57 124 56 54 51 46 131 66 53 119 48 63 433 201 150 144 107 81
Character d o e s t h e l e v e l o f w a t e r
Milliseconds 94 110 51 118 58 66 66 50 62 92 38 29 97 72 68 28 150 30 82 53 93 59 97 112 3
Character i n a b a r r e l c h a n g e a s a f
Milliseconds 88 42 65 67 93 75 155 91 138 36 118 71 80 49 46 103 39 93 107 80 80 85 79 92 41
Character u n c t i o n o f t e h a m -m -a - -h h -h -e h
Milliseconds 107 156 60 120 50 70 27 69 122 29 96 98 38 32 134 64 48 234 123 133 133 254 311 114 119
Character e a m o u n t o f l i q u i d c - -c p o
Milliseconds 96 55 71 75 105 81 145 58 63 93 71 80 149 76 188 94 67 187 13 79 315 148 205 142 44
Character u r e d i n t o i t ? W e s e e c h a n
Milliseconds 105 134 79 144 76 62 33 102 67 84 103 27 238 81 145 189 200 106 60 129 87 80 73 40 113
Character g e c -c o c c u r i n g - -g -n -i r i n g i n
Milliseconds 108 108 208 114 318 172 43 120 67 80 93 64 106 108 236 139 133 137 128 134 41 93 147 265 42
Character n e a r l y e v e r y t h i n g w e o b s
Milliseconds 134 145 137 89 55 110 63 56 78 104 78 122 68 107 66 64 96 31 81 52 52 91 107 204 221
Character e r e - -e - v e i n t h e w o r l d a
Milliseconds 109 106 193 73 83 271 128 139 72 61 73 97 41 62 81 78 61 65 75 67 56 162 92 78 66
Character n d i -i u n i v e r s e , a n d p w o e -e -o
Milliseconds 121 71 87 95 334 146 149 77 41 66 147 85 102 29 464 109 361 101 96 81 12 44 172 213 134
Character -w o w e r f u l m o d e r n i n s t r u m e n
Milliseconds 117 188 32 53 61 160 68 119 52 121 83 159 144 81 106 69 110 62 81 82 143 59 160 48 108
Character t s h e l p s - -s -p u -u - p u s s e e
Milliseconds 40 85 89 66 66 102 77 89 314 202 123 122 55 146 278 124 198 75 84 162 183 100 193 186 98
Character m o r e a n d m o r e . I n t h i s s e
Milliseconds 108 40 23 57 102 56 66 77 80 67 32 26 61 121 65 162 134 93 70 78 68 110 77 104 47
Character c t i o n w e i n t r o d u c e t h e i d
Milliseconds 170 158 26 57 23 59 51 77 92 70 66 67 157 61 128 96 105 170 71 41 67 103 68 38 133
Character e a s o f a v e r a g e a n d i n s t a n
Milliseconds 164 55 340 126 116 45 103 65 73 91 130 67 112 52 73 86 103 60 92 128 57 109 112 196 156
Character t a n e o u s r a t e s o f c h a n g e ,
Milliseconds 130 160 163 91 191 62 108 80 82 63 111 81 83 43 74 85 67 106 75 86 95 34 69 90 78
Character a n d s h o w t h a t t h e y a r e c l
Milliseconds 78 106 111 93 86 63 40 79 79 63 93 27 93 62 99 40 93 71 75 57 51 68 80 95 48
Character o s e l y r e l a t e d t o t h e s l o p
Milliseconds 154 47 67 96 77 93 326 66 103 66 67 53 148 93 66 42 93 38 53 57 90 81 57 155 72
Character e o f a c u r v e a t a p o i n t P
Milliseconds 211 172 124 76 126 77 97 92 77 93 163 64 74 86 68 103 84 93 104 52 64 57 44 99 128
Character o n t h e c u r e -e v e . W e g i v e
Milliseconds 84 124 57 79 78 42 80 84 113 67 85 80 342 70 40 120 132 150 197 105 123 78 115 72 98
Character p r e c i s e d e v e l o p m e n t s o f t
Milliseconds 37 92 12 389 78 162 54 93 141 138 77 99 65 159 44 130 81 91 53 53 80 66 58 105 68
Character h e s e i m p o r t a n t c o n c e p t s i
Milliseconds 49 33 116 84 88 76 74 69 54 74 135 81 24 121 79 125 63 53 93 146 67 157 85 131 94
Character n t h e n e x t c h p a t e r -r -e -t -a -p a p
Milliseconds 54 65 42 80 59 78 117 68 184 113 63 133 81 121 0 98 99 92 188 132 134 133 121 158 54
Character t e r , b u t f o r n o w w e u s e a
Milliseconds 79 98 83 113 110 178 74 121 93 95 69 101 83 82 34 82 81 92 39 284 121 54 62 83 96
Character n i n f o r m a a p -p -a - l a p p r a -a o a
Milliseconds 64 122 78 51 79 67 109 91 55 185 82 79 330 128 116 184 43 79 66 108 54 82 383 296 94
Character c h s o y o u w i l l s e e h o t -t w
Milliseconds 132 106 81 93 25 148 74 77 76 44 64 80 44 134 25 63 78 135 50 100 41 131 373 77 69
Character t e y -y -e h e y l e a d n a t u r a l l y t
Milliseconds 55 105 197 269 121 175 70 100 80 106 31 88 97 77 54 67 80 86 97 70 69 126 75 60 84
Character o t h e m a i n i d e a o f t h i s c
Milliseconds 40 108 25 42 94 64 74 73 58 75 41 112 72 136 71 67 101 67 107 80 68 41 64 66 135
Character h a p t e r , t h e l i m i t . T H e i -i
Milliseconds 95 96 54 128 114 101 118 85 76 93 119 70 108 72 65 90 98 107 61 143 33 88 93 91 227
Character - -e -H h e i d e a o f a l i m i t p . a
Milliseconds 130 139 127 263 117 110 105 75 132 138 81 132 60 71 85 105 60 100 42 146 112 85 57 147 106
Character y -y -a -. l a y s a f o u n d a t i o n a l r
Milliseconds 99 242 127 133 206 9 142 134 95 91 83 91 68 52 149 66 83 77 65 45 51 105 84 89 174
Character o l e t h r o u g o u t -t -u -o h o u t c a l c
Milliseconds 119 186 81 82 65 45 116 26 53 92 353 43 84 236 114 360 158 149 39 105 84 88 97 26 287
Character u l u s .
Milliseconds 102 127 86 107 118
WPM Timing
Seconds WPM
1.96 79.75
3.91 73.61
5.87 81.79
7.82 101.22
9.78 95.69
11.74 102.24
13.69 99.02
15.65 101.22
17.61 106.33
19.56 107.35
21.52 110.97
23.47 114.51
25.43 114.19
27.39 109.98
29.34 107.96
31.3 107.73
33.26 107.17
35.21 103.6
37.17 105.57
39.12 103.67
41.08 103.7
43.04 102.05
44.99 101.88
46.95 101.22
48.91 99.13
50.86 101.22
52.82 102.69
54.77 103.19
56.73 103.01
58.69 104.69
60.64 106.06
62.6 106.77
64.56 107.63
66.51 107.53
68.47 107.44
70.42 108.71
72.38 109.59
74.34 107.83
76.29 108.21
78.25 107.66
80.21 106.98
82.16 107.2
84.12 106.85
86.07 108.05
88.03 108.51
89.99 107.35
91.94 106.89
93.9 107.22
95.86 106.41
97.81 106