Suhas (suhasmaddali007)

Race #33245

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Official speed 102.58 wpm (101.07 seconds elapsed during race)
Without ending ping 102.66 wpm (76 ms delay sending score to TypeRacer’s server)
Timerless 103.04 wpm (370 ms elapsed before first character typed; 100.63 seconds elapsed during race)
Timerless minus one 102.92 wpm, ignoring the first character typed
Race Start January 5, 2024 4:32:46pm UTC
Race Finish January 5, 2024 4:34:27pm UTC
Outcome No win (3 of 5)
Opponents 1. urchinonquit (124.98 wpm)
2. bigswass (111.50 wpm)
Accuracy 97.7%
Points 276.98
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 in one quantity is related o ttoe a chance ige in anothe. r. How does the speed of a falling ojbect bject change as a function of tgimeime? How does the level of water in a barrel cahnghange a ss a function of the amount of liquid poured inot to it? We see change occurring in nearly everything we observe in the world and unviverse, and powerful domodern instruments help us see more NDand 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 appraooach so you will see how they lead nateururally to the main idea of this chapter the , thelimi limit. The idea od a f a limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 370 141 178 110 160 245 225 69 68 90 92 42 137 68 112 120 131 264 117 69 114 14 54 43 140
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 147 142 153 115 19 142 113 12 143 159 37 164 112 66 92 39 77 113 68 85 70 39 72 88 87
Character c h a n g e i n o n e q u a n t i t y i s
Milliseconds 138 67 68 96 89 34 47 89 47 90 136 66 44 68 181 68 178 117 224 42 136 90 92 161 115
Character r e l a t e d o t -t - -o t o e - -e a c
Milliseconds 66 104 71 69 134 68 42 138 68 113 112 16 283 108 137 291 106 113 45 323 130 87 75 114 129
Character h a n c e i -i - -e -c g e i n a n o t h e .
Milliseconds 90 44 134 48 152 22 95 254 158 132 113 132 70 67 42 90 157 142 88 41 111 92 70 264 95
Character - -. r . H o w d o e s t h e s p e e d o
Milliseconds 231 132 90 113 36 162 133 67 74 89 61 99 63 38 74 95 36 69 203 136 84 122 159 36 114
Character f a f a l l i n g o j b e c t - -t -c -e -b -j
Milliseconds 44 45 68 111 0 115 45 134 136 67 65 19 98 108 0 156 141 156 43 253 265 136 158 111 137
Character b j e c t c h a n g e a s a f u n c t i o
Milliseconds 113 112 69 134 157 67 180 97 122 24 144 64 46 133 70 14 116 72 134 111 115 118 134 89 10
Character n o f t g i m e -e -m -i -g i m e ? H o w d o
Milliseconds 79 0 498 111 65 90 43 16 74 16 318 164 133 139 176 15 75 150 100 179 133 67 70 107 96
Character e s t h e l e v e l o f w a t e r i n
Milliseconds 68 37 74 63 67 115 62 252 116 117 85 39 94 161 41 68 114 250 12 139 68 70 89 43 68
Character a b a r r e l c a h n g -g -n -h -a h a n g e a
Milliseconds 18 116 90 134 183 132 139 128 72 181 91 43 158 68 250 128 141 133 137 66 116 155 90 70 108
Character s -s - s a f u n c t i o n o f t h e a
Milliseconds 93 39 393 130 40 78 85 88 134 95 153 18 166 65 66 50 13 144 41 43 112 45 100 65 87
Character m o u n t o f l i q u i d p o u r e d i n
Milliseconds 68 135 72 130 112 16 52 69 38 122 39 208 157 13 157 54 177 86 92 140 90 106 50 113 70
Character o t - -t -o t o i t ? W e s e e c h a n g
Milliseconds 88 0 117 332 139 134 133 85 96 92 13 207 65 162 139 62 109 20 134 74 178 40 140 42 161
Character e o c c u r r i n g i n n e a r l y e v e
Milliseconds 44 91 156 91 87 91 133 163 164 10 121 14 99 41 113 130 113 91 70 65 94 40 140 136 115
Character r y t h i n g w e o b s e r v e i n t h e
Milliseconds 59 72 116 84 75 93 66 35 157 191 177 195 115 188 34 93 208 68 87 84 50 71 37 91 45
Character w o r l d a n d u n v -v i v e r s e , a n
Milliseconds 68 114 91 46 112 71 65 70 66 62 67 252 135 119 402 125 101 133 13 124 37 118 89 46 87
Character d p o w e r f u l d o -o -d m o d e r n i n s
Milliseconds 70 72 122 99 13 50 47 177 0 72 117 262 17 237 182 148 44 69 114 91 88 136 87 70 65
Character t r u m e n t s h e l p u s s e e m o r e
Milliseconds 45 136 44 156 112 71 69 43 90 134 142 39 134 76 109 85 43 137 71 131 69 89 114 17 47
Character N D -D -N a n d m o r e . I n t h i s s e
Milliseconds 22 183 43 391 133 37 118 117 44 38 49 136 69 42 137 182 202 110 43 95 39 75 58 121 0
Character c t i o n w e i n t r o d u c e t h e i d
Milliseconds 424 231 60 19 77 39 117 63 70 152 102 60 164 65 135 128 68 160 71 111 109 96 60 138 44
Character e a s o f a v e r a g e a n d i n s t a n
Milliseconds 139 90 111 113 139 86 42 183 153 180 90 97 89 62 46 72 127 68 46 93 64 46 67 118 35
Character t a n e o u s r a t e s o f c h a n g e ,
Milliseconds 568 448 382 138 247 67 69 42 158 93 86 90 73 66 90 228 63 335 74 91 70 111 92 11 118
Character a n d s h o w t h a t t h e y a r e c l
Milliseconds 44 66 68 74 114 79 75 69 67 116 66 124 98 40 89 78 36 138 41 114 73 39 88 168 62
Character o s e l y r e l a t e d t o t h e s l o p
Milliseconds 131 98 67 40 112 97 65 65 70 88 40 91 90 75 91 35 75 68 62 45 92 119 145 170 121
Character e o f a c u r v e a t a p o i n t P
Milliseconds 104 61 70 105 100 153 91 158 116 113 149 90 95 88 108 45 45 94 41 19 71 44 94 44 159
Character o n t h e c u r v e . W e g i v e p r
Milliseconds 65 272 64 69 42 93 18 50 158 115 139 156 66 66 108 162 133 64 114 71 107 71 91 153 255
Character e c i s e d e v e l o p m e n t s o f t h e
Milliseconds 67 178 70 133 47 89 88 178 143 58 73 159 156 159 108 95 37 74 95 87 88 44 137 69 108
Character s e i m p o r t a n t c o n c e p t s i n
Milliseconds 136 42 44 74 65 66 63 51 132 73 41 97 61 139 66 62 50 155 86 116 71 42 47 69 86
Character t h e n e x t c h a p t e r , b u t f o r
Milliseconds 42 74 66 95 36 96 150 140 44 159 379 142 106 122 127 94 37 47 132 71 92 66 111 44 94
Character n o w w e u s e a n i n f o r m a l a
Milliseconds 67 66 45 91 67 112 64 50 111 43 44 70 90 113 113 65 95 68 66 132 94 137 358 134 179
Character p p r a o -o -a o a c h s o y o u w i l l s
Milliseconds 112 110 89 433 114 342 267 343 108 90 35 165 86 97 111 86 97 61 68 44 90 163 130 74 312
Character e e h o w t h e y l e a d n a t e u r -r -u
Milliseconds 247 151 138 177 73 66 61 98 67 39 119 71 221 140 310 91 93 107 62 67 0 68 143 263 113
Character -e u r a l l y t o t h e m a i n i d e a
Milliseconds 120 159 107 68 17 139 111 68 92 42 72 130 117 85 45 46 116 64 70 90 87 91 137 65 44
Character o f t h i s c h a p t e r t h e - -e -h -t -
Milliseconds 139 46 48 135 60 46 65 45 183 155 115 92 156 138 66 43 99 9 94 97 157 138 131 161 110
Character , t h e l i m i -i -m -i -l l i m i t . T h e
Milliseconds 194 101 37 69 74 136 126 93 106 253 134 136 142 33 179 98 89 116 158 67 112 178 109 44 69
Character i d e a o d a - -a - -d f a l i m i t p
Milliseconds 71 83 143 112 14 338 100 39 64 117 344 134 130 140 11 52 68 107 88 115 91 97 158 66 127
Character l a y s a f o u n d a t i o n a l r o l e
Milliseconds 92 68 160 64 45 116 68 110 516 71 156 17 94 115 91 39 72 17 95 137 64 65 136 69 64
Character t h r o u g h o u t c a l c u l u s .
Milliseconds 165 86 114 16 74 88 68 161 67 73 82 118 89 177 228 94 246 249 129 44
WPM Timing
Seconds WPM
2.02 83.11
4.04 97.95
6.06 110.81
8.09 112.79
10.11 102.11
12.13 92.01
14.15 89.89
16.17 94.98
18.19 93
20.21 91.42
22.24 92.82
24.26 91.52
26.28 93.61
28.3 92.44
30.32 90.23
32.34 93.87
34.36 94.63
36.39 93.99
38.41 95.29
40.43 96.76
42.45 98.37
44.47 98.22
46.49 98.08
48.51 99.43
50.54 99.49
52.56 100
54.58 100.48
56.6 101.34
58.62 99.89
60.64 100.52
62.66 101.68
64.69 102.96
66.71 103.98
68.73 104.41
70.75 104.48
72.77 105.21
74.79 106.37
76.81 106.7
78.84 107.01
80.86 105.07
82.88 105.12
84.9 105.02
86.92 104.51
88.94 105.37
90.97 104.22
92.99 102.98
95.01 102.05
97.03 102.28
99.05 102.74
101.07 102.58