Shiva (shivajreddy)

Race #569

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Official speed 77.66 wpm (133.50 seconds elapsed during race)
Without ending ping 77.79 wpm (226 ms delay sending score to TypeRacer’s server)
Timerless 77.84 wpm (83 ms elapsed before first character typed; 133.20 seconds elapsed during race)
Timerless minus one 77.75 wpm, ignoring the first character typed
Race Start April 3, 2024 7:38:54pm UTC
Race Finish April 3, 2024 7:41:08pm UTC
Outcome Win (1 of 2)
Accuracy 96.7%
Points 209.68
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 hyow ow a change in one quantity is related to a change in another. How does the speed of a falling object dcanhange as a function of time? How does the level of water ina a barrel change as a function of the maoamouhnt onnt of liquit d pouered int ito it? We see change occuring iring in rnnearly everything we observe in the world and universe, and powerful modern instruments helop usp use see more and mroe. ore . In this secitontion we intoroduce the ideas of average and siinstantaneous trates of change, and tshow that they are closely related to the slope of a curve at apoinh point P on the curve. We give precidse developments of these important concepts in the next chapter, butr efor for now we use a nn 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 foundations al role throught out calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 83 212 164 153 296 201 132 136 74 119 48 102 135 152 90 124 120 179 88 139 120 12 109 70 215
Character e l p s u s u n d e r s t a n d h y o w -
Milliseconds 45 157 127 70 96 113 58 158 225 172 47 217 89 167 103 151 167 82 82 148 14 61 32 208 151
Character -w -o -y o w a c h a n g e i n o n e q u a
Milliseconds 149 114 112 180 119 90 152 118 301 105 90 90 89 120 91 181 106 117 180 75 55 111 447 85 158
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 104 255 137 120 104 127 188 74 56 203 88 164 90 143 126 210 56 109 105 44 121 134 121 92 104
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 56 135 86 82 150 105 20 176 89 86 95 120 70 95 105 119 226 69 106 65 164 86 108 92 31
Character t h e s p e e d o f a f a l l i n g o b
Milliseconds 134 82 63 79 120 75 75 150 210 90 159 36 211 120 134 165 120 120 135 90 86 15 80 195 0
Character j e c t d -d c a n -n -a h a n g e a s a f u
Milliseconds 205 34 234 123 77 169 312 181 226 144 199 136 194 105 100 58 98 88 152 166 120 133 135 150 105
Character n c t i o n o f t i m e ? H o w d o e s
Milliseconds 196 55 155 45 60 75 12 225 43 92 138 55 49 41 305 120 435 269 56 110 135 67 127 90 55
Character t h e l e v e l o f w a t e r i n a - -a
Milliseconds 125 105 49 87 104 75 136 117 54 169 125 74 105 181 119 121 120 105 86 108 90 137 118 450 135
Character a b a r r e l c h a n g e a s a f u n
Milliseconds 106 195 135 119 132 153 167 105 118 121 166 54 91 89 110 89 75 151 134 91 180 166 270 104 165
Character c t i o n o f t h e m a o -o -a -m a m o u h n
Milliseconds 54 156 40 79 62 26 169 72 92 120 71 32 77 178 0 238 291 133 101 134 128 147 37 211 0
Character t o -o - -t -n n -n -h n t o f l i q u i t - -t
Milliseconds 52 104 180 165 150 144 111 196 236 123 150 91 83 141 61 90 106 90 119 165 180 104 120 451 135
Character d p o u e -e r e d i n t i t -t -i - o i t ?
Milliseconds 446 124 237 228 240 404 315 91 106 210 73 106 75 74 195 271 104 176 139 121 165 89 180 53 307
Character W e s e e c h a n g e o c c u r i n g i
Milliseconds 102 394 270 106 164 89 180 105 136 158 81 122 89 90 90 180 150 168 83 125 149 74 29 92 99
Character -i - -g -n -i r i n g i n r n -n -r n e a r l y e
Milliseconds 276 128 127 135 119 106 136 104 43 121 173 97 45 196 164 181 120 194 76 121 43 166 105 90 136
Character v e r y t h i n g w e o b s e r v e i n t
Milliseconds 134 136 104 78 177 94 99 107 76 103 106 123 54 347 106 269 136 119 285 81 166 286 112 106 180
Character h e w o r l d a n d u n i v e r s e , a n
Milliseconds 16 103 86 79 105 75 113 98 149 120 92 85 58 216 204 125 17 164 104 150 91 179 91 135 73
Character d p o w e r f u l m o d e r n i n s t r u m
Milliseconds 92 74 121 72 63 90 90 226 38 170 71 185 104 18 192 119 196 120 165 106 28 88 214 74 511
Character e n t s h e l o p u s -s -u - -p -o p u s e -
Milliseconds 90 87 92 136 135 282 78 150 104 0 85 170 77 207 137 136 104 462 242 210 152 53 140 166 387
Character -e s e e m o r e a n d m r o e . - -. -e -o
Milliseconds 138 75 119 87 183 90 150 76 19 86 90 151 119 52 83 105 105 0 85 169 52 264 224 120 117
Character -r o r e - . I n t h i s s e c i t o n -n -o
Milliseconds 138 286 120 93 87 451 239 67 264 345 133 152 104 166 120 135 134 104 226 135 39 125 75 237 168
Character -t -i t i o n w e i n t o -o r o d u c e t h e
Milliseconds 121 240 360 107 35 91 65 184 89 90 148 105 40 647 333 105 103 138 136 88 210 54 128 71 76
Character i d e a s o f a v e r a g e a n d s i -i
Milliseconds 69 157 26 244 121 181 322 262 86 139 149 135 120 121 151 159 140 42 108 180 54 119 172 41 349
Character -s i n s t a n t a n e o u s t -t r a t e s o f
Milliseconds 135 181 102 24 142 120 181 238 211 285 105 332 119 105 90 210 330 83 112 150 105 98 96 150 53
Character c h a n g e , a n d t -t s h o w t h a t
Milliseconds 98 179 72 94 90 90 82 98 90 104 92 87 54 144 295 139 121 89 0 89 166 90 150 404 117
Character t h e y a r e c l o s e l y r e l a t e d
Milliseconds 184 105 69 79 102 132 73 129 72 259 67 158 32 80 125 138 41 138 90 148 175 143 135 210 52
Character t o t h e s l o p e o f a c u r v e a
Milliseconds 114 104 75 70 95 53 78 147 49 167 118 107 136 165 53 181 60 141 492 123 52 217 120 68 144
Character t a p o i n h -h -n -i -o -p p o i n t P o n
Milliseconds 119 71 92 295 97 90 150 18 208 148 122 130 109 180 301 599 166 149 164 71 287 77 241 106 100
Character t h e c u r v e . W e g i v e p r e c i d
Milliseconds 125 17 98 75 153 137 41 259 66 114 68 411 360 121 195 89 138 88 67 142 67 113 269 151 128
Character -d s e d e v e l o p m e n t s o f t h e s e
Milliseconds 392 109 106 74 270 210 121 121 104 166 90 233 97 105 39 140 53 172 40 125 115 89 29 126 152
Character i m p o r t a n t c o n c e p t s i n t h
Milliseconds 53 397 90 111 76 141 225 107 151 84 126 283 89 256 135 211 135 81 143 74 121 68 35 88 57
Character e n e x t c h a p t e r , b u t r - -r e
Milliseconds 112 75 136 51 218 87 105 409 87 85 157 195 150 89 152 116 349 69 144 0 103 344 142 113 133
Character f o r - -e -f -o -r f o r n o w w e u s e a
Milliseconds 19 148 53 99 282 240 0 0 0 480 90 119 53 167 92 43 82 148 70 97 149 40 74 76 148
Character n -n - n i n f o r m a l a p p r o a c h s
Milliseconds 217 17 416 153 164 68 187 69 112 135 55 138 88 134 110 209 82 128 52 233 135 226 105 73 138
Character o y o u w i l l s e e h o w t h e y l
Milliseconds 104 90 165 89 104 77 120 69 201 120 39 111 119 174 81 105 53 43 99 316 71 72 114 87 175
Character e a d n a t u r a l l y t o t h e m a i n
Milliseconds 56 108 126 90 466 74 91 149 152 103 135 121 165 135 149 105 90 105 18 118 87 86 142 69 96
Character i d e a o f t h i s c h a p t e r , t h
Milliseconds 51 174 30 210 89 135 256 41 110 104 38 75 29 97 265 112 85 86 187 165 69 141 68 138 61
Character e l i m i t . T h e i d e a o f a l i
Milliseconds 71 77 277 134 135 134 83 142 72 304 81 97 107 235 74 196 110 52 175 49 99 71 153 106 82
Character m i t p l a y s a f o u n d a t i o n s -
Milliseconds 169 184 89 68 227 199 92 116 243 182 149 165 84 126 121 224 84 562 133 105 52 68 150 102 413
Character -s a l r o l e t h r o u g h t - -t o u t c
Milliseconds 146 117 183 51 182 96 150 119 104 167 68 138 57 80 93 119 55 106 440 134 223 123 40 125 210
Character a l c u l u s .
Milliseconds 116 91 123 89 180 243 178 150
WPM Timing
Seconds WPM
2.67 85.39
5.34 92.13
8.01 82.39
10.68 82.02
13.35 88.09
16.02 92.88
18.69 94.38
21.36 88.76
24.03 89.38
26.7 91.68
29.37 89.48
32.04 91.38
34.71 86.08
37.38 83.46
40.05 81.5
42.72 78.93
45.39 78.52
48.06 77.4
50.73 78.29
53.4 79.1
56.07 80.68
58.74 80.69
61.41 78.16
64.08 77.71
66.75 76.04
69.42 74.67
72.09 74.57
74.76 74.96
77.43 74.7
80.1 74.6
82.77 75.1
85.44 75.98
88.11 76.54
90.78 75.74
93.45 75.63
96.12 75.65
98.79 75.55
101.46 76.05
104.13 76.52
106.8 76.06
109.47 75.96
112.14 75.76
114.81 76.51
117.48 76.71
120.15 77.6
122.82 77.96
125.49 78.31
128.16 78.27
130.83 78.05
133.5 77.66