Akshay (akshay1314)

Race #762

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Official speed 98.53 wpm (105.23 seconds elapsed during race)
Without ending ping 98.86 wpm (355 ms delay sending score to TypeRacer’s server)
Timerless 99.18 wpm (337 ms elapsed before first character typed; 104.54 seconds elapsed during race)
Timerless minus one 99.07 wpm, ignoring the first character typed
Race Start November 29, 2024 2:41:00pm UTC
Race Finish November 29, 2024 2:42:45pm UTC
Outcome No win (2 of 3)
Opponents 1. qwestfinder (126.04 wpm)
Accuracy 98.0%
Points 266.03
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 ehlphelps us understandh how a change in one uquantity is realelated to a change in another. How does the speed of a falling object change as a function of time? How does tihe level of water in a barrel change as a function of the amount of liquid pourred into it? We see chnange occurring in nearly everything we observe in the world and universe, and powerful modern instruments help us seem more and more. In this reacsection we introduce the ideas of averange and insteatenteaneous rates of change, sand show that they are closely related to the slope of a curve at a point P on the curve. We give preceise 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 calculauus.
Timing
Character C a l c u l u s i s a t o o l t h a t e
Milliseconds 337 174 152 218 139 113 245 108 92 125 55 113 54 122 134 74 105 115 151 114 82 16 100 65 178
Character h l p -e -h -l -p h e l p s u s u n d e r s t a n
Milliseconds 0 201 31 473 0 0 0 251 65 101 38 95 88 146 77 93 135 64 88 77 96 76 93 83 43
Character d h -h h o w a c h a n g e i n o n e u
Milliseconds 160 212 318 88 124 25 63 93 84 88 133 75 73 52 75 91 8 136 56 122 85 85 82 65 269
Character -u q u a n t i t y i s r e a l -l -a -e e l a t e
Milliseconds 348 107 93 66 83 170 24 147 149 84 142 40 108 108 56 60 50 295 110 115 573 104 77 112 83
Character d t o a c h a n g e i n a n o t h e r .
Milliseconds 127 94 125 22 163 143 330 104 66 84 48 75 86 23 157 61 125 79 90 92 24 160 108 82 82
Character H o w d o e s t h e s p e e d o f a
Milliseconds 135 175 95 397 119 108 57 106 131 56 101 56 77 60 145 35 324 104 118 103 120 73 84 321 109
Character f a l l i n g o b j e c t c h a n g e a s
Milliseconds 86 99 99 402 165 85 105 52 457 138 120 41 98 168 80 116 48 96 25 102 58 74 121 90 94
Character a f u n c t i o n o f t i m e ? H o w d
Milliseconds 101 106 100 117 88 83 145 38 34 125 101 103 81 100 139 102 66 79 219 168 192 146 78 80 74
Character o e s t i -i h e l e v e l o f w a t e r
Milliseconds 77 82 137 63 71 99 362 176 48 75 149 66 84 53 50 109 117 91 68 102 60 120 85 115 80
Character i n a b a r r e l c h a n g e a s a f
Milliseconds 172 91 125 112 45 322 188 144 148 100 100 141 103 58 59 57 83 59 55 105 65 90 89 272 77
Character u n c t i o n o f t h e a m o u n t o f
Milliseconds 91 76 80 149 33 31 143 96 97 92 69 115 42 75 75 123 25 83 123 135 178 119 152 78 72
Character l i q u i d p o u r r -r e d i n t o i t ?
Milliseconds 153 148 80 116 70 174 106 141 134 373 107 224 401 253 147 71 142 68 71 58 108 138 101 160 163
Character W e s e e c h n -n a n g e o c c u r r i n g
Milliseconds 84 204 116 55 82 119 41 145 55 156 472 62 125 90 58 74 172 99 133 78 117 236 129 93 56
Character i n n e a r l y e v e r y t h i n g w e
Milliseconds 83 92 86 129 179 84 60 44 128 110 76 100 106 45 109 147 159 90 33 107 57 84 114 63 112
Character o b s e r v e i n t h e w o r l d a n d
Milliseconds 165 104 83 55 178 187 96 117 106 93 83 82 68 74 65 159 85 136 60 146 72 230 65 107 40
Character u n i v e r s e , a n d p o w e r f u l m o
Milliseconds 252 55 101 106 68 134 69 127 98 153 390 61 72 74 137 84 58 58 151 160 115 50 176 164 57
Character d e r n i n s t r u m e n t s h e l p u s
Milliseconds 108 107 100 96 138 170 105 67 173 47 149 175 86 64 102 73 100 196 105 106 32 162 138 66 118
Character s e e m - -m m o r e a n d m o r e . I n
Milliseconds 166 92 135 97 76 390 98 87 121 66 68 64 45 116 23 126 0 163 62 79 32 75 126 148 96
Character t h i s r e a c -r -e -a -c s e c t i o n w e
Milliseconds 102 63 83 52 38 103 74 40 62 114 502 0 0 0 187 83 126 164 75 21 146 118 145 55 119
Character i n t r o d u c e t h e i d e a s o f a v
Milliseconds 157 45 100 55 101 127 102 75 126 62 102 65 49 108 128 45 62 58 168 161 145 102 93 116 99
Character e r a n -n g e a n d i n s t e -e a t e -e -t n t
Milliseconds 157 94 102 158 326 83 40 84 96 61 82 65 122 90 103 120 147 318 63 85 264 279 110 305 109
Character e -e a n e o u s r a t e s o f c h a n g e ,
Milliseconds 126 541 111 123 313 131 77 133 57 140 58 115 56 140 95 108 83 76 195 72 87 245 138 54 61
Character s -s a n d s h o w t h a t t h e y a r e
Milliseconds 115 219 423 180 57 68 64 153 53 40 96 71 97 44 57 82 52 114 37 84 69 91 85 76 71
Character c l o s e l y r e l a t e d t o t h e s
Milliseconds 104 203 66 122 67 78 109 145 94 108 62 92 110 93 92 203 117 177 41 168 115 57 83 58 127
Character l o p e o f a c u r v e a t a p o i n
Milliseconds 111 220 57 285 125 160 104 65 93 74 172 113 76 169 76 83 150 99 99 81 110 184 124 45 70
Character t P o n t h e c u r v e . W e g i v e
Milliseconds 32 144 193 178 131 110 136 70 76 62 93 263 109 96 163 75 91 190 209 164 99 113 63 91 45
Character p r e c e -e i s e d e v e l o p m e n t s o
Milliseconds 105 158 101 66 374 56 360 172 59 70 99 103 92 99 33 82 125 84 208 70 87 73 87 99 118
Character f t h e s e i m p o r t a n t c o n c e p t
Milliseconds 122 50 357 92 62 171 48 116 348 85 100 94 47 146 58 81 89 100 243 142 96 117 73 122 202
Character s i n t h e n e x t c h a p t e r , b u
Milliseconds 295 100 228 72 150 34 147 6 124 129 34 493 145 88 193 67 114 129 305 82 117 82 100 184 59
Character t f o r n o w w e u s e a n i n f o r
Milliseconds 53 89 103 84 79 71 212 74 118 74 159 53 144 192 91 49 79 331 42 157 136 77 91 83 59
Character m a l a p p r o a c h s o y o u w i l l
Milliseconds 74 133 84 142 105 91 109 76 89 92 68 128 169 327 42 132 121 12 88 168 124 41 139 107 120
Character s e e h o w t h e y l e a d n a t u r a l
Milliseconds 48 87 155 216 199 40 119 78 110 78 34 109 79 132 56 42 68 81 144 35 102 101 97 32 85
Character l y t o t h e m a i n i d e a o f t h
Milliseconds 119 132 83 99 70 157 254 51 89 52 146 21 127 75 135 120 123 68 65 178 123 87 72 128 80
Character i s c h a p t e r , t h e l i m i t . T h
Milliseconds 62 45 116 92 229 66 103 359 109 98 76 101 117 61 74 65 142 149 99 449 116 122 172 212 126
Character e i d e a o f a l i m i t p l a y s a
Milliseconds 77 62 152 72 50 66 146 139 103 91 108 100 148 149 91 126 147 143 161 63 54 129 232 130 268
Character f o u n d a t i o n a l r o l e t h r o u g
Milliseconds 121 104 118 62 143 62 75 126 81 37 124 125 77 136 100 83 114 112 73 168 92 118 30 76 84
Character h o u t c a l c u l a u -u -a u s .
Milliseconds 51 156 80 102 124 147 104 89 131 151 97 123 74 329 103 251 52 99
WPM Timing
Seconds WPM
2.1 79.83
4.21 74.13
6.31 81.73
8.42 91.23
10.52 87.81
12.63 84.58
14.73 89.6
16.84 91.94
18.94 89.33
21.05 92.94
23.15 94.86
25.25 95.51
27.36 95.62
29.46 98.16
31.57 99.21
33.67 96.58
35.78 96.26
37.88 96.3
39.99 97.83
42.09 98.64
44.2 98.56
46.3 99.01
48.4 99.41
50.51 99.55
52.61 98.3
54.72 99.35
56.82 99.05
58.93 97.54
61.03 96.15
63.14 95.98
65.24 97.12
67.35 97.47
69.45 97.62
71.55 97.77
73.66 97.75
75.76 97.57
77.87 97.55
79.97 97.53
82.08 97.08
84.18 97.36
86.29 97.63
88.39 97.75
90.5 98.39
92.6 98.88
94.7 99.09
96.81 98.79
98.91 99
101.02 98.95
103.12 99.49
105.23 98.53