FREE PALESTINE (mohameddd)

Race #9452

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Official speed 104.67 wpm (99.05 seconds elapsed during race)
Without ending ping 105.46 wpm (741 ms delay sending score to TypeRacer’s server)
Timerless 105.77 wpm (287 ms elapsed before first character typed; 98.03 seconds elapsed during race)
Timerless minus one 105.65 wpm, ignoring the first character typed
Race Start January 14, 2025 5:26:35pm UTC
Race Finish January 14, 2025 5:28:14pm UTC
Outcome Win (1 of 5)
Opponents 2. 9topac (100.11 wpm)
3. lukastyperacer (91.22 wpm)
Accuracy 97.5%
Points 282.60
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 understnatand how a change in one quantity is related to a change in another. How does the spee dd of a falling objedt ct ct change as a function of time? Hoew does the level of water in a barrel change as a function of the maamount of liquid poured into it? We see chnage oange occuring iring in nearly everythingn we observe in the world and universe, and powerful modern instruments heolp us see more and more. In this section we introduce the ideas of avverage and instantaneous rates of change, and show that they are closely related to the slope of a cure ve a tt a point P on the curve. We give precise development ss of these important oconcepts in the exnext chanppter, but for now we use an infpormormal approach so you will se e how they lead naturally to the main idea of this chapter, the liimmit. the The idea of a limit plays a fuoundationsal role throughout acalculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 287 165 111 64 253 122 144 167 68 63 88 48 150 49 232 67 123 183 76 69 80 75 27 30 56
Character e l p s u s u n d e r s t n -n -t a -a t a n d
Milliseconds 122 83 124 66 99 96 98 75 116 178 65 125 58 118 89 94 314 94 117 331 87 83 71 96 33
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 82 57 60 49 94 77 116 65 88 54 82 82 42 86 44 76 65 87 57 93 119 82 99 75 166
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 104 79 91 99 93 110 25 115 91 36 179 72 174 199 57 95 66 33 88 62 125 66 82 77 62
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 97 92 221 74 38 135 72 33 128 39 96 54 42 52 145 78 115 85 113 92 72 83 54 92 55
Character e s p e e d -d - d o f a f a l l i n g
Milliseconds 66 97 122 26 307 130 120 84 252 94 74 33 106 55 329 92 62 132 101 56 104 86 52 99 17
Character o b j e d t - -t c t - -t -c -d c t c h a n g e
Milliseconds 89 98 98 56 190 77 98 150 87 123 83 84 140 111 98 120 85 84 95 118 104 71 78 81 96
Character a s a f u n c t i o n o f t i m e ? H
Milliseconds 67 51 106 57 85 53 96 112 161 45 150 59 49 16 78 74 92 49 86 71 53 31 244 67 264
Character o e -e w d o e s t h e l e v e l o f w a
Milliseconds 121 118 205 68 140 148 60 75 72 33 113 67 78 30 66 83 125 74 49 77 87 69 61 213 88
Character t e r i n a b a r r e l c h a n g e a s
Milliseconds 97 66 94 43 98 33 99 23 131 301 130 246 451 86 75 50 131 91 68 74 133 93 83 66 50
Character a f u n c t i o n o f t h e m a -a -m a m
Milliseconds 77 78 62 84 107 183 70 147 61 20 29 108 95 112 55 121 59 85 33 131 31 312 190 83 122
Character o u n t o f l i q u i d p o u r e d i n t
Milliseconds 81 96 140 45 43 66 92 39 126 50 158 83 61 91 94 132 49 108 144 32 141 87 165 47 140
Character o i t ? W e s e e c h n a g e o -o - -e -g
Milliseconds 36 83 91 76 196 36 227 142 73 100 141 153 167 178 79 117 16 75 83 56 37 171 103 86 129
Character -a -n a n g e o c c u r i n g i -i - -g -n -i r i n
Milliseconds 101 116 194 61 87 109 66 126 99 142 66 148 50 42 76 92 107 134 133 91 123 120 75 101 46
Character g i n n e a r l y e v e r y t h i n g n -n
Milliseconds 66 54 59 62 50 459 88 36 20 85 66 18 153 137 100 82 103 94 103 77 48 109 12 341 108
Character w e o b s e r v e i n t h e w o r l d a
Milliseconds 107 42 72 83 99 119 95 66 196 75 78 83 53 65 353 64 70 76 99 105 365 72 97 50 130
Character n d u n i v e r s e , a n d p o w e r f u l
Milliseconds 73 65 44 103 135 64 66 118 57 110 81 368 20 100 80 57 59 84 50 86 33 64 120 45 58
Character m o d e r n i n s t r u m e n t s h e o -o l
Milliseconds 83 116 59 17 150 44 78 37 259 50 83 85 117 31 165 102 49 165 93 62 115 146 86 359 180
Character p u s s e e m o r e a n d m o r e . I
Milliseconds 115 172 129 158 111 311 141 142 96 98 55 52 49 39 143 20 115 71 66 60 69 40 110 50 247
Character n t h i s s e c t i o n w e i n t r o d u
Milliseconds 166 68 87 83 31 39 83 82 130 157 145 63 52 18 46 74 57 95 76 55 28 116 58 118 78
Character c e t h e i d e a s o f a v -v v e r a g e
Milliseconds 94 154 48 89 76 59 62 32 66 157 59 133 87 84 67 81 222 34 260 468 123 95 103 109 89
Character a n d i n s t a n t a n e o u s r a t e s
Milliseconds 37 99 79 43 83 134 101 102 223 110 84 132 156 409 108 713 55 92 97 156 72 92 80 84 101
Character o f c h a n g e , a n d s h o w t h a t
Milliseconds 74 49 62 158 77 97 67 142 141 241 47 98 67 83 22 119 34 48 80 48 77 79 34 65 12
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 120 74 102 56 214 131 34 37 66 168 37 125 46 52 67 71 37 109 56 117 57 52 50 135 90
Character t o t h e s l o p e o f a c u r e - -e
Milliseconds 201 76 36 195 87 64 92 45 114 116 132 351 103 66 82 182 77 91 101 122 50 257 58 218 97
Character v e a t -t - t a p o i n t P o n t h
Milliseconds 79 39 87 65 83 102 222 111 93 50 87 82 216 12 70 16 116 34 364 106 135 62 49 63 88
Character e c u r v e . W e g i v e p r e c i s e
Milliseconds 21 93 167 84 62 169 67 34 40 180 146 69 104 96 73 66 27 81 156 62 334 87 182 39 75
Character d e v e l o p m e n t s -s - s o f t h e s e
Milliseconds 140 144 148 102 14 134 216 156 88 100 73 91 75 166 88 106 30 153 42 82 59 101 83 233 25
Character i m p o r t a n t o -o c o n c e p t s i n
Milliseconds 103 71 61 83 66 92 138 87 91 22 110 79 315 116 103 67 31 149 89 77 114 110 74 43 76
Character t h e e x -x -e n e x t c h a n p -p -n p t e r ,
Milliseconds 122 93 65 68 94 157 266 102 445 120 116 98 119 98 82 66 157 165 214 86 157 64 86 76 46
Character b u t f o r n o w w e u s e a n i n
Milliseconds 32 136 84 71 77 102 71 79 92 151 48 100 94 124 72 102 203 40 43 105 86 87 75 126 69
Character f p o r m -m -r -o -p o r m a l a p p r o a c h s
Milliseconds 92 123 11 17 139 185 104 98 114 186 71 77 101 168 52 124 111 112 205 164 81 163 78 48 125
Character o y o u w i l l s e - e h o w t h e y
Milliseconds 133 52 99 67 33 42 99 49 150 110 88 93 120 75 237 112 48 120 49 93 71 174 16 309 112
Character l e a d n a t u r a l l y t o t h e m a
Milliseconds 118 132 16 66 100 83 151 40 85 150 41 473 60 136 68 38 128 89 25 118 82 117 83 68 94
Character i n i d e a o f t h i s c h a p t e r ,
Milliseconds 117 59 53 124 59 101 85 41 55 114 22 99 93 50 34 89 145 99 97 57 60 99 76 83 39
Character t h e l i i m -m -i m i t . t h e - -e -h -t T h
Milliseconds 86 84 40 47 61 59 141 35 273 96 147 58 44 132 39 69 114 35 77 154 95 93 132 231 82
Character e i d e a o f a l i m i t p l a y s a
Milliseconds 61 33 76 77 136 85 29 54 114 67 63 72 350 63 132 127 82 82 95 107 50 98 458 90 80
Character f u -u o u n d a t i o n s -s a l r o l e t h
Milliseconds 66 99 91 338 163 30 153 30 84 91 54 14 40 95 440 110 71 44 104 88 139 68 42 90 86
Character r o u g h o u t a -a c a l c u l u s .
Milliseconds 93 99 261 119 95 203 63 91 59 333 273 48 51 82 114 100 192 107 171 70
WPM Timing
Seconds WPM
1.98 84.8
3.96 109.03
5.94 96.92
7.92 109.03
9.91 112.67
11.89 117.11
13.87 111.63
15.85 109.03
17.83 107.69
19.81 108.43
21.79 110.13
23.77 108.53
25.75 111.36
27.74 110.33
29.72 111.45
31.7 108.65
33.68 105.82
35.66 104.99
37.64 104.89
39.62 104.79
41.6 105.86
43.58 107.38
45.56 105.61
47.55 106.51
49.53 108.3
51.51 107.87
53.49 107.91
55.47 106.44
57.45 107.57
59.43 109.03
61.41 108.84
63.39 107.71
65.38 107.93
67.36 108.14
69.34 107.65
71.32 108.19
73.3 107.89
75.28 106.32
77.26 106.7
79.24 105.85
81.22 105.93
83.21 106
85.19 105.93
87.17 106.97
89.15 107.15
91.13 106.66
93.11 106.32
95.09 105.88
97.07 105.69
99.05 104.67