Gaurav (absurd_man)

Race #4612

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Official speed 93.80 wpm (110.53 seconds elapsed during race)
Without ending ping 93.96 wpm (189 ms delay sending score to TypeRacer’s server)
Timerless 94.23 wpm (314 ms elapsed before first character typed; 110.03 seconds elapsed during race)
Timerless minus one 94.12 wpm, ignoring the first character typed
Race Start March 22, 2024 8:04:35am UTC
Race Finish March 22, 2024 8:06:26am UTC
Outcome Win (1 of 5)
Accuracy 98.5%
Points 253.26
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 understand how a change is n one quantity is related to a change in another. How does the speed of a failllling object change as a function of time? How does the level of water in a barrel change as a functio nn of the amount of liquid poured into it? We see change aoccurring in nearly everything we observe in the world and universe, and powerful odemodern inssttruments help us see more and more. In this section we introduce the ideas of average and instantaneous rates of change, an d show that they are closely related to the slope of a curve at a point P on the curve. Wee give precise developments iof these important concpeepts in the next chapter, but for now we use an informal appraooach foso 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 througouhout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 314 179 123 160 208 144 224 128 115 66 75 112 81 100 73 66 160 149 382 125 112 32 85 80 219
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 101 95 92 64 131 98 59 145 117 171 79 164 65 155 66 81 126 79 113 116 75 64 113 82 115
Character c h a n g e i s - -s n o n e q u a n t i t
Milliseconds 90 48 98 98 74 82 64 82 114 60 385 127 212 93 111 65 116 59 401 95 97 116 124 79 180
Character y i s r e l a t e d t o a c h a n g e
Milliseconds 300 133 187 81 115 92 64 113 116 63 59 162 84 283 101 48 75 112 97 67 124 65 146 66 64
Character i n a n o t h e r . H o w d o e s t h e
Milliseconds 91 96 79 161 112 31 116 82 64 43 112 99 238 131 112 108 80 99 82 91 96 115 67 78 92
Character s p e e d o f a f a i l l -l -l -i l l i n g
Milliseconds 65 261 91 146 157 64 112 118 122 48 130 132 74 143 33 212 294 134 112 232 216 100 63 109 80
Character o b j e c t c h a n g e a s a f u n c t i
Milliseconds 115 125 64 96 179 143 77 134 91 48 128 81 68 91 96 96 100 92 96 97 84 171 144 176 64
Character o n o f t i m e ? H o w d o e s t h e
Milliseconds 48 80 66 66 108 96 128 68 47 76 193 99 189 180 157 111 83 497 44 128 116 79 77 80 80
Character l e v e l o f w a t e r i n a b a r r e
Milliseconds 83 125 64 96 48 84 108 96 64 179 189 115 97 92 64 80 50 116 0 171 130 129 92 159 102
Character l c h a n g e a s a f u n c t i o n -n -
Milliseconds 155 63 212 77 95 82 99 43 81 95 133 92 112 97 99 76 192 116 156 31 65 151 89 355 141
Character n o f t h e a m o u n t o f l i q u i d
Milliseconds 228 49 91 63 99 113 32 93 80 288 143 117 76 176 84 96 124 176 115 189 66 175 111 64 116
Character p o u r e d i n t o i t ? W e s e e c
Milliseconds 205 159 160 80 80 146 174 47 100 65 60 80 80 132 92 224 52 220 80 211 157 116 128 92 195
Character h a n g e a -a o c c u r r i n g i n n e a r
Milliseconds 97 92 96 62 71 63 157 415 228 76 144 133 91 159 133 47 93 80 48 101 62 237 132 76 63
Character l y e v e r y t h i n g w e o b s e r v e
Milliseconds 64 132 80 157 97 98 109 62 131 83 75 97 47 145 128 80 160 159 97 159 53 59 193 84 89
Character i n t h e w o r l d a n d u n i v e r s e
Milliseconds 64 66 97 66 98 60 145 383 115 97 76 112 66 130 123 96 84 113 157 114 32 173 112 163 93
Character , a n d p o w e r f u l o d e -e -d -o m o d e
Milliseconds 208 99 93 95 116 48 156 161 240 80 81 191 80 63 225 128 128 164 238 129 157 288 96 81 191
Character r n i n s s t -t -s t r u m e n t s h e l p u
Milliseconds 64 96 196 252 67 97 140 132 188 144 320 180 140 192 94 114 48 113 132 187 99 82 107 65 126
Character s s e e m o r e a n d m o r e . I n t
Milliseconds 149 92 176 144 192 84 156 80 77 53 50 82 90 79 49 84 108 80 47 131 115 171 164 75 145
Character h i s s e c t i o n w e i n t r o d u c e
Milliseconds 98 49 81 59 293 92 224 144 16 32 80 97 115 60 128 280 39 177 160 112 144 322 81 173 96
Character t h e i d e a s o f a v e r a g e a n d
Milliseconds 63 67 114 76 96 130 174 64 228 108 65 96 99 172 130 146 77 111 99 80 45 64 176 132 140
Character i n s t a n t a n e o u s r a t e s o f c h
Milliseconds 276 62 47 80 82 49 188 195 368 333 272 48 132 96 220 84 156 80 131 173 208 100 92 176 84
Character a n g e , a n - d s h o w t h a t t h e
Milliseconds 92 96 97 84 95 75 80 98 143 403 109 63 100 96 28 80 129 197 91 64 81 51 140 80 81
Character y a r e c l o s e l y r e l a t e d t o
Milliseconds 131 60 48 48 80 82 158 111 145 51 43 309 109 114 158 68 92 80 63 100 141 63 113 32 100
Character t h e s l o p e o f a c u r v e a t a
Milliseconds 47 92 64 115 81 157 195 97 124 64 99 109 96 63 117 95 77 112 228 76 80 179 167 120 65
Character p o i n t P o n t h e c u r v e . W e
Milliseconds 108 226 142 97 30 66 115 349 163 111 111 83 108 80 97 82 766 115 220 448 68 204 64 272 96
Character e -e g i v e p r e c i s e d e v e l o p m e
Milliseconds 148 316 192 176 165 59 48 80 180 108 112 162 135 87 81 66 172 161 100 76 96 161 51 188 96
Character n t s i -i o f t h e s e i m p o r t a n t
Milliseconds 99 65 107 65 147 333 209 65 111 114 77 80 160 86 74 113 47 83 173 47 160 52 77 112 80
Character c o n c p e -e -p e p t s i n t h e n e x t
Milliseconds 132 76 49 94 196 93 368 144 98 142 96 96 66 126 48 80 47 100 96 77 129 85 202 160 67
Character c h a p t e r , b u t f o r n o w w e u
Milliseconds 157 80 81 130 92 129 83 80 60 145 48 163 45 192 66 142 95 98 49 114 91 130 66 96 285
Character s e a n i n f o r m a l a p p r a o -o -a o a
Milliseconds 150 39 112 64 128 100 127 49 175 125 146 62 114 113 115 266 151 108 79 81 81 271 149 203 65
Character c h f o -o -f s o y o u w i l l s e e h o
Milliseconds 146 49 76 192 52 284 148 75 128 51 177 125 48 127 209 80 132 156 48 195 81 367 237 117 62
Character w t h e y l e a d n a t u r a l l y t o
Milliseconds 76 80 132 97 76 96 64 116 123 144 193 112 144 144 80 158 70 79 109 161 130 77 112 61 86
Character t h e m a i n i d e a o f t h i s c h a
Milliseconds 92 96 65 116 124 63 113 67 81 124 96 179 77 79 81 117 75 143 99 66 220 128 544 142 83
Character p t e r . - -. , t h e l i m i t . T h e
Milliseconds 100 88 130 66 116 104 452 127 225 63 48 99 66 91 160 131 61 127 99 190 80 177 99 140 64
Character i d e a o f a l i m i t p l a y s a f
Milliseconds 240 96 144 83 77 112 81 82 124 112 67 130 44 144 98 113 109 143 100 94 111 97 175 96 130
Character o u n d a t i o n a l r o l e t h r o u g o u
Milliseconds 46 52 173 62 133 96 60 30 82 179 109 80 384 64 179 93 63 98 82 125 46 50 195 942 79
Character -u -o h o u t c a l c u l u s .
Milliseconds 369 146 238 97 99 91 80 384 160 144 112 144 174 178 84 156
WPM Timing
Seconds WPM
2.21 86.85
4.42 92.28
6.63 101.33
8.84 92.28
11.05 92.28
13.26 97.71
15.47 100.03
17.69 94.32
19.9 97.11
22.11 98.25
24.32 98.7
26.53 99.97
28.74 98.54
30.95 98.87
33.16 99.16
35.37 99.07
37.58 97.71
39.79 98.91
42 99.42
44.21 99.61
46.42 96.93
48.63 95.24
50.85 95.11
53.06 96.58
55.27 96.41
57.48 96.46
59.69 96.9
61.9 95.77
64.11 95.84
66.32 96.44
68.53 97.18
70.74 97.37
72.95 96.72
75.16 95.31
77.37 95.54
79.58 95.45
81.79 95.07
84.01 95.57
86.22 96.04
88.43 96.08
90.64 95.06
92.85 94.87
95.06 95.06
97.27 95.73
99.48 94.69
101.69 94.76
103.9 95.17
106.11 95.45
108.32 94.16
110.53 93.8