Md Zeeshan Rasheed (mdzeeshanrasheedofficial)

Race #212

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Official speed 70.45 wpm (147.17 seconds elapsed during race)
Without ending ping 70.61 wpm (326 ms delay sending score to TypeRacer’s server)
Timerless 70.77 wpm (340 ms elapsed before first character typed; 146.50 seconds elapsed during race)
Timerless minus one 70.69 wpm, ignoring the first character typed
Race Start October 24, 2023 2:16:42am UTC
Race Finish October 24, 2023 2:19:09am UTC
Outcome No win (3 of 4)
Accuracy 96.9%
Points 190.20
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 tahhat helps us understand how a change in one quiaantity is related to a change in another. How does the speped of a falling aobject change as a funtioction of time? How dose es the level of water in a barrel change as a function of the amount of liquid poured into it? We see change occruurring in near ly everything ewe observe in the world and iunvunivesrse, and powerful modern instruments help us see more and more. In this section we interroduce the ideas of average and instantanesouous reates of change, and show that they are closely related to the slpeope of a curve at a point P on the curceccve. We give prcescisse e develpopments of these important concepts in the enext chapter, but for now we use an informal approach so you iwill see how they lead naturally to the main idea of this chaptetr, the limit. Teh he idea of a likmit plays a foundational role throghughout calculus.
Timing
Character C a l c u l u s i s a t o o l t a h -h -a h
Milliseconds 340 207 175 284 123 161 134 148 183 98 85 160 75 176 184 152 128 216 96 248 128 80 458 150 207
Character a t h e l p s u s u n d e r s t a n d h o
Milliseconds 65 128 97 172 140 119 192 96 128 97 110 153 280 176 120 209 63 281 160 111 112 97 127 161 112
Character w a c h a n g e i n o n e q u i a -a -i a
Milliseconds 112 135 96 136 136 72 144 109 180 103 64 169 95 112 232 120 433 264 609 79 112 208 320 103 73
Character n t i t y i s r e l a t e d t o a c h a
Milliseconds 145 118 104 145 193 143 128 87 129 177 81 93 121 135 89 176 136 144 96 111 81 177 158 81 87
Character n g e i n a n o t h e r . H o w d o e s
Milliseconds 137 144 88 104 96 87 120 113 119 88 89 122 35 90 158 131 329 70 121 120 143 88 89 39 169
Character t h e s p e p -p e d o f a f a l l i n g
Milliseconds 88 71 54 155 53 139 120 39 497 176 192 112 184 127 153 71 177 240 128 79 152 145 121 86 121
Character a -a o b j e c t c h a n g e a s a f u n t
Milliseconds 55 354 206 128 114 111 249 199 88 328 125 91 127 121 72 136 120 152 64 240 152 104 128 175 174
Character i o -o -i -t c t i o n o f t i m e ? H o w d
Milliseconds 107 56 344 169 95 54 218 96 72 144 120 128 120 104 152 40 152 53 292 159 256 112 200 136 111
Character o s e - -e -s e s t h e l e v e l o f w a
Milliseconds 113 144 13 196 359 110 147 30 41 232 280 137 63 173 156 88 194 85 184 161 103 128 113 217 135
Character t e r i n a b a r r e l c h a n g e a s
Milliseconds 159 88 102 185 73 160 125 115 136 166 74 192 280 112 201 144 199 104 80 144 104 72 121 128 120
Character a f u n c t i o n o f t h e a m o u n t
Milliseconds 141 122 152 120 209 296 103 200 89 53 187 79 249 256 135 136 96 31 178 111 144 112 112 177 111
Character o f l i q u i d p o u r e d i n t o i t
Milliseconds 112 70 122 105 79 105 297 103 87 160 144 192 208 88 129 143 224 112 120 104 72 134 122 121 95
Character ? W e s e e c h a n g e o c c r u -u -r u r
Milliseconds 296 136 129 192 159 105 232 167 144 137 87 54 155 87 96 72 233 119 201 240 152 392 119 216 70
Character r i n g i n n e a r - l y e v e r y t h i
Milliseconds 340 86 129 105 127 71 97 281 151 87 137 240 127 336 230 163 80 209 232 79 168 128 320 168 119
Character n g e -e w e o b s e r v e i n t h e w o
Milliseconds 112 72 160 193 457 55 120 192 312 617 72 215 152 360 80 192 109 91 120 104 72 53 131 281 79
Character r l d a n d i -i u n v -v -n u -u n i v e s -s r s
Milliseconds 128 104 128 120 161 75 124 79 201 352 230 203 164 413 127 545 391 223 161 95 137 200 489 103 28
Character e , a n d p o w e r f u l m o d e r n i n
Milliseconds 155 313 112 104 127 88 105 208 225 127 144 31 276 66 170 104 136 145 447 169 45 186 120 233 136
Character s t r u m e n t s h e l p u s s e e m o r
Milliseconds 125 155 136 158 194 76 140 87 136 169 529 175 135 192 394 223 135 137 143 217 144 119 113 143 65
Character e a n d m o r e . I n t h i s s e c t i
Milliseconds 40 168 144 79 104 105 144 96 120 53 98 144 265 104 144 159 89 79 112 137 88 144 249 166 41
Character o n w e i n t e r -r -e r o d u c e t h e i
Milliseconds 88 127 64 136 137 183 80 96 160 121 80 336 120 85 138 96 177 103 169 105 142 78 40 171 103
Character d e a s o f a v e r a g e a n d i n s t a
Milliseconds 145 151 49 536 160 167 145 112 313 199 87 112 161 192 53 155 152 136 72 159 72 97 144 136 208
Character n t a n e s o u -u -o -s o u s r e -e a t e s o f
Milliseconds 160 281 143 165 315 88 120 79 314 127 120 233 79 144 120 176 70 347 76 156 80 41 181 104 137
Character c h a n g e , a n d s h o w t h a t t h
Milliseconds 120 184 96 111 105 144 53 91 128 40 168 72 136 128 120 113 52 148 108 131 21 128 171 256 504
Character e y a r e c l o s e l y r e l a t e d t o
Milliseconds 136 113 111 129 191 120 103 210 87 158 162 72 201 199 105 152 88 127 109 163 97 167 120 105 89
Character t h e s l p e -e -p o p e o f a c u r v e
Milliseconds 118 72 112 21 171 89 127 208 217 279 128 214 186 120 104 88 96 136 61 147 88 176 128 272 88
Character a t a p o i n t P o n t h e c u r c
Milliseconds 184 120 209 103 104 150 187 207 129 176 87 139 397 168 136 136 521 127 56 88 112 144 192 121 551
Character e -e -c c -c c -c v e . W e g i v e p r c -c e s
Milliseconds 152 409 127 88 501 99 425 53 380 463 144 520 248 144 272 96 164 35 113 249 135 328 344 257 79
Character -s c i s s e - -e -s e d e v e l p -p o p m e n t
Milliseconds 421 50 185 95 145 20 156 413 136 171 111 136 128 161 255 120 123 270 399 225 449 248 199 55 113
Character s o f t h e s e i m p o r t a n t c o n c
Milliseconds 144 153 94 89 111 105 48 401 95 176 200 120 112 184 176 89 199 61 155 72 143 241 56 144 184
Character e p t s i n t h e e -e n e x t c h a p t e
Milliseconds 168 112 135 78 107 112 88 136 40 152 53 179 200 472 231 65 225 192 207 632 95 105 136 104 72
Character r , b u t f o r n o w w e u s e a n
Milliseconds 88 200 103 210 79 184 53 179 72 112 112 401 87 192 160 256 152 144 119 121 128 120 113 103 128
Character i n f o r m a l a p p r o a c h s o y o u
Milliseconds 96 96 105 132 115 168 104 119 145 168 125 147 119 153 128 501 75 136 152 152 88 121 103 97 104
Character i -i w i l l s e e h o w t h e y l e a d
Milliseconds 271 337 96 127 193 175 48 104 191 161 128 141 75 178 102 192 136 152 113 95 154 69 65 200 120
Character n a t u r a l l y t o t h e m a i n i d e
Milliseconds 152 104 160 128 88 81 127 152 185 44 147 88 136 144 120 72 152 153 86 153 112 128 129 119 264
Character a o f t h i s c h a p t e t -t r , t h e
Milliseconds 120 192 193 216 23 254 89 113 151 113 216 120 104 153 95 72 112 472 121 205 98 89 135 14 210
Character l i m i t . T e h - -h -e h e i d e a o f
Milliseconds 137 53 219 168 151 152 145 192 199 6 308 287 151 141 300 152 152 464 111 169 95 136 73 111 113
Character a l i k -k m i t p l a y s a f o u n d a t
Milliseconds 95 114 142 56 209 385 223 120 191 121 159 209 119 93 123 89 135 129 112 287 57 199 72 177 240
Character i o n a l r o l e t h r o g h -h -g u g h o u t
Milliseconds 79 32 145 263 141 139 201 88 208 112 167 218 60 179 120 184 265 312 99 219 97 135 113 95 137
Character c a l c u l u s .
Milliseconds 167 313 143 161 288 223 185 216 144 144
WPM Timing
Seconds WPM
2.94 69.31
5.89 65.23
8.83 72.03
11.77 67.27
14.72 70.94
17.66 76.1
20.6 76.88
23.55 75.42
26.49 74.29
29.43 74.61
32.38 73.76
35.32 74.74
38.26 75.27
41.21 76.59
44.15 76.92
47.09 75.93
50.04 75.3
52.98 74.06
55.92 74.46
58.87 71.75
61.81 71.25
64.75 71.53
67.7 71.08
70.64 72.2
73.58 72.41
76.53 72.44
79.47 72.93
82.41 72.07
85.36 73.1
88.3 73.11
91.24 73.12
94.19 73.51
97.13 73.01
100.07 71.35
103.02 70.59
105.96 69.76
108.9 69.31
111.85 69.84
114.79 69.41
117.73 69.82
120.68 70.4
123.62 70.18
126.56 70.73
129.51 71.25
132.45 71.12
135.39 70.82
138.34 70.61
141.28 70.92
144.22 70.56
147.17 70.45