Sabari (sabari314)

Race #6812

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Official speed 90.38 wpm (114.72 seconds elapsed during race)
Without ending ping 90.65 wpm (345 ms delay sending score to TypeRacer’s server)
Timerless 90.88 wpm (291 ms elapsed before first character typed; 114.08 seconds elapsed during race)
Timerless minus one 90.78 wpm, ignoring the first character typed
Race Start April 10, 2024 7:11:57am UTC
Race Finish April 10, 2024 7:13:52am UTC
Outcome No win (3 of 3)
Accuracy 97.6%
Points 244.01
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 us 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 obnjeject change as a function of time? Ho doee w does the leve lol of water in a barrel changes as a function of ehthe amount of lioqqiod uid poutred into it? We see change occurtrring in nearly everything e we obsergvve in the world and universe, and powerful modern instruments help us see more and more. In this sectio we n we introduce the ideas of average and instantaneoiusus rates of change, and show that they are closely related to the slop ofe of a curve at a polint int P on the crurve. We give precise developments of these importtaant concepts in the next chapter, but for now we use an informal appriacoach so you wil sl see how they lead naturally to the main idea of this chapter, the milimit. The idea of a limit plays a foundational role throughout calculus.
Timing
Character C a l c u l u s u s - -s -u i s a t o o l
Milliseconds 291 167 52 112 72 159 115 117 92 160 117 108 285 143 134 183 86 58 98 64 129 52 145 352 495
Character t h a t h e l p s u s u n d e r s t a n d
Milliseconds 156 34 86 49 50 105 89 87 184 146 124 150 117 82 138 56 51 96 112 141 167 128 98 70 99
Character h o w a c h a n g e i n o n e q u a n t
Milliseconds 198 60 35 149 67 84 108 46 87 74 53 73 68 148 43 148 136 41 39 96 156 68 163 137 199
Character i t y i s r e l a t e d t o a c h a n g
Milliseconds 79 100 206 113 155 33 111 134 54 80 114 158 84 119 85 106 60 186 137 87 101 99 82 70 79
Character e i n a n o t h e r . H o w d o e s t h
Milliseconds 61 58 138 40 145 9 126 54 70 92 45 71 60 92 153 121 58 96 147 113 68 172 67 102 40
Character e s p e e d o f a f a l l i n g o b n j
Milliseconds 73 58 132 37 103 123 106 80 130 67 78 60 71 108 103 50 152 84 68 48 103 130 71 16 130
Character e -e -j -n j e c t c h a n g e a s a f u n c
Milliseconds 86 355 124 136 186 76 132 741 193 285 128 56 116 48 61 117 102 88 94 102 54 174 96 76 147
Character t i o n o f t i m e ? H o d o e -e -o -d - e
Milliseconds 206 30 68 51 165 109 42 80 94 74 52 25 265 128 200 183 173 89 132 40 412 147 132 101 84
Character - -e w d o e s t h e l e v e l o -o -l - l
Milliseconds 155 322 110 30 137 75 71 64 163 46 108 50 65 59 80 47 152 49 114 6 322 272 122 154 228
Character o f w a t e r i n a b a r r e l c h a
Milliseconds 101 175 82 93 130 85 142 95 83 60 149 38 145 59 88 183 50 161 120 76 98 126 133 94 92
Character n g e s - -s a s a f u n c t i o n o f
Milliseconds 88 60 73 208 7 465 115 172 88 75 86 99 63 153 88 44 73 194 57 64 31 164 138 18 116
Character e h -h -e t h e a m o u n t o f l i o q -q -o q
Milliseconds 223 63 358 130 115 80 49 113 90 74 82 96 95 37 137 68 84 110 182 195 7 132 350 121 131
Character i o d - -d -o -i u i d p o u t -t r e d i n t o
Milliseconds 143 22 119 211 237 134 141 138 409 93 28 132 136 137 253 138 507 44 69 136 136 393 53 51 83
Character i t ? W e s e e c h a n g e o c c u r t
Milliseconds 130 126 10 220 126 128 172 106 106 149 115 49 132 32 59 100 59 61 132 167 141 112 95 246 13
Character r -r -t r i n g i n n e a r l y e v e r y t h
Milliseconds 468 258 120 94 115 67 69 119 149 47 133 82 61 109 75 109 135 136 100 181 71 136 193 136 40
Character i n g e - -e w e o b s e r g v -v -g v e i n
Milliseconds 73 94 58 97 121 108 317 115 294 10 100 140 70 415 177 62 213 243 332 123 53 51 141 126 50
Character t h e w o r l d a n d u n i v e r s e ,
Milliseconds 124 67 65 59 29 124 79 45 97 63 82 99 49 101 45 125 71 110 35 91 100 159 167 35 65
Character a n d p o w e r f u l m o d e r n i n s t r
Milliseconds 118 100 45 91 114 69 33 72 160 196 64 92 118 158 64 45 83 161 91 165 108 60 232 134 88
Character u m e n t s h e l p u s s e e m o r e a
Milliseconds 72 205 68 70 66 181 34 176 77 120 116 148 144 95 78 107 199 121 96 162 54 36 48 94 94
Character n d m o r e . I n t h i s s e c t i o w
Milliseconds 65 60 82 129 76 32 40 101 43 200 148 160 100 112 20 111 109 57 184 166 188 50 55 195 111
Character e - -e -w - n w e i n t r o d u c e t h e
Milliseconds 80 157 267 139 146 102 207 144 82 51 98 232 70 39 59 115 175 161 126 107 102 91 53 47 52
Character i d e a s o f a v e r a g e a n d i n s t
Milliseconds 302 163 63 79 174 111 137 228 204 218 175 143 98 184 141 76 85 161 63 95 63 141 43 67 165
Character a n t a n e o i u s -s -u -i u s r a t e s o f
Milliseconds 105 131 73 150 237 542 168 17 106 178 298 136 108 199 92 86 99 82 117 73 189 133 240 46 116
Character c h a n g e , a n d s h o w t h a t t h e
Milliseconds 80 72 57 97 54 72 120 77 161 54 83 66 189 11 86 105 91 125 37 83 65 77 66 68 68
Character y a r e c l o s e l y r e l a t e d t o
Milliseconds 117 104 104 74 110 71 353 68 166 51 166 153 169 129 304 66 167 50 337 101 160 135 123 39 141
Character t h e s l o p o f -f -o - e o f a c u r v
Milliseconds 86 64 76 32 148 38 192 86 164 136 80 349 150 118 43 96 133 46 109 39 100 70 103 79 182
Character e a t a p o l i n t - -t -n -i -l i n t P
Milliseconds 85 110 109 131 72 80 65 144 91 24 143 69 32 104 263 125 141 123 111 177 61 45 100 170 172
Character o n t h e c r -r u r v e . W e g i v e p
Milliseconds 250 77 171 76 88 54 37 678 199 418 392 20 222 70 92 56 436 181 84 208 159 108 68 77 84
Character r e c i s e d e v e l o p m e n t s o f t h
Milliseconds 101 50 148 120 136 137 111 49 98 168 69 121 215 68 162 70 117 52 196 87 127 41 95 86 53
Character e s e i m p o r t t a -a -t a n t c o n c e p t
Milliseconds 29 193 148 10 473 65 78 86 93 21 151 225 393 119 67 92 51 107 109 80 61 55 120 116 121
Character s i n t h e n e x t c h a p t e r , b u
Milliseconds 178 46 125 58 134 67 100 71 4 208 114 181 166 91 144 87 77 109 123 127 86 75 66 176 75
Character t f o r n o w w e u s e a n i n f o r
Milliseconds 58 93 112 64 98 64 160 62 66 113 41 84 171 193 82 154 48 183 53 156 125 43 56 149 26
Character m a l a p p r i a c -c -a -i o a c h s o y o u
Milliseconds 124 86 107 149 112 135 118 202 171 77 198 320 147 125 202 100 155 89 184 104 64 147 141 32 68
Character w i l s -s - l s e e h o w t h e y l e
Milliseconds 60 117 68 146 188 118 389 126 194 129 127 176 118 60 182 82 24 126 119 60 75 108 116 100 97
Character a d n a t u r a l l y t o t h e m a i n
Milliseconds 71 71 109 144 50 150 83 125 44 124 107 105 84 115 65 128 106 32 52 48 202 99 104 64 172
Character i d e a o f t h i s c h a p t e r , t h e
Milliseconds 119 58 64 76 111 145 61 81 110 90 58 80 73 106 89 68 129 119 131 79 94 80 132 80 61
Character m i -i -m l i m i t . T h e i d e a o f a
Milliseconds 64 181 78 340 117 217 91 138 210 303 283 39 253 133 52 112 155 32 69 84 168 144 50 110 42
Character l i m i t p l a y s a f o u n d a t i o n
Milliseconds 86 135 134 55 127 116 132 126 83 68 173 207 72 125 65 198 92 79 66 68 87 210 26 64 62
Character a l r o l e t h r o u g h o u t c a l c u l
Milliseconds 122 128 216 120 218 148 60 108 118 68 124 42 58 93 98 69 89 64 115 150 122 113 84 104 147
Character u s .
Milliseconds 116 98 91
WPM Timing
Seconds WPM
2.29 47.07
4.59 70.61
6.88 83.69
9.18 92.84
11.47 97.28
13.77 103.73
16.06 106.1
18.35 97.41
20.65 101.12
22.94 93.62
25.24 92.24
27.53 92.4
29.83 90.93
32.12 90.78
34.41 89.96
36.71 86.63
39 85.84
41.3 86.3
43.59 86.16
45.89 85.78
48.18 84.93
50.47 87.49
52.77 88.01
55.06 89.13
57.36 90.17
59.65 88.92
61.95 89.3
64.24 89.48
66.54 87.65
68.83 88.74
71.12 89.76
73.42 89.57
75.71 89.23
78.01 88.45
80.3 88.02
82.6 87.03
84.89 87.5
87.18 87.95
89.48 87.98
91.77 88.65
94.07 89.3
96.36 88.42
98.66 87.94
100.95 88.56
103.24 89.38
105.54 89.94
107.83 89.25
110.13 89.68
112.42 90.09
114.72 90.38