ishwarendra (ishwarendra)

Race #495

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Official speed 84.68 wpm (122.44 seconds elapsed during race)
Without ending ping 84.94 wpm (374 ms delay sending score to TypeRacer’s server)
Timerless 85.34 wpm (577 ms elapsed before first character typed; 121.49 seconds elapsed during race)
Timerless minus one 85.24 wpm, ignoring the first character typed
Race Start August 17, 2023 1:17:18pm UTC
Race Finish August 17, 2023 1:19:20pm UTC
Outcome No win (2 of 2)
Opponents 1. jonathanirvings (122.33 wpm)
Accuracy 96.8%
Points 228.62
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 quanitytity is reallated to a change in another. How does that se speed odf f a falling object chnaange as a function of time? How does that e level of water in a barrel change as a function of the amount of liiquid poweured into it? We see change cooccurinring in nearly everything we observe in the world and universe, and powerful modern instrruments help uis see more and more. In this section we intoroduce the ideas f of average and instantaneous rated of s of change, and sohhow that they are closely rtearelated to the slop e of a curve at a point P on the curve. We gfvgive precsise developmenetsts of these important concepts in the next chapters, b , but for no ww we use an informal approach so you will see how they lead naturallyt to t o to the main idea of this vcjachapter, the limit. The idea of a limit plays a foundational role thouroughtoutout calculus.
Timing
Character C a l c u l u s i s a t o o l t h a t h
Milliseconds 577 149 87 318 178 111 128 135 93 125 105 87 170 63 143 62 131 160 61 192 35 72 88 25 150
Character e l p s u s u n d e r s t a n d h o w a
Milliseconds 82 138 61 177 153 126 128 134 178 48 96 61 162 129 112 80 69 89 98 172 188 145 40 312 99
Character c h a n g e i n o n e q u a n i t y -y -t -i t
Milliseconds 110 60 82 89 159 89 40 120 79 164 68 313 111 78 139 303 216 208 160 208 61 319 136 136 112
Character i t y i s r e a l -l -a l a t e d t o a c
Milliseconds 64 121 33 101 321 105 80 198 41 64 104 464 137 176 119 105 96 39 63 129 47 74 227 59 138
Character h a n g e i n a n o t h e r . H o w d o e
Milliseconds 54 81 88 151 57 58 111 71 177 79 140 102 175 64 46 139 63 96 201 119 135 129 127 55 91
Character s t h a t s -s - -t -a e s p e e d o d f -
Milliseconds 79 32 128 62 90 72 40 134 338 136 168 128 87 96 105 32 168 144 80 80 88 80 8 80 377
Character -f -d f a f a l l i n g o b j e c t c h n a
Milliseconds 150 160 63 106 144 128 104 192 113 151 80 62 162 32 145 71 129 127 54 82 104 144 54 169 137
Character -a -n a n g e a s a f u n c t i o n o f t
Milliseconds 344 135 48 74 95 136 23 408 97 166 130 96 182 98 72 40 208 72 16 46 178 136 89 239 88
Character i m e ? H o w d o e s t h a t - -t -a e l
Milliseconds 88 54 74 575 161 184 104 96 120 104 72 87 81 64 160 56 80 73 85 360 147 151 89 95 80
Character e v e l o f w a t e r i n a b a r r e l
Milliseconds 41 167 18 142 56 129 39 120 145 46 137 105 152 71 146 52 162 80 79 81 136 185 232 224 103
Character c h a n g e a s a f u n c t i o n o f
Milliseconds 64 184 72 94 74 97 128 79 96 57 111 80 104 160 104 81 22 217 55 43 54 145 73 76 66
Character t h e a m o u n t o f l i -i i q u i d p o
Milliseconds 120 47 90 103 112 96 46 354 88 184 136 96 54 107 103 296 400 368 160 120 46 235 207 296 120
Character w e -e -w u r e d i n t o i t ? W e s e e
Milliseconds 128 72 426 134 200 152 170 104 110 168 72 96 70 49 218 97 303 112 265 174 129 120 64 168 46
Character c h a n g e c o -o -c o c c u r i n -n -i r i n g
Milliseconds 121 57 78 83 102 112 73 344 65 240 135 151 66 166 153 200 98 78 342 129 87 90 88 136 88
Character i n n e a r l y e v e r y t h i n g w e o
Milliseconds 120 54 154 98 23 95 208 143 209 176 224 120 54 186 54 441 121 54 49 163 71 151 95 81 120
Character b s e r v e i n t h e w o r l d a n d u
Milliseconds 81 95 96 192 112 96 120 136 62 195 39 80 46 90 112 104 104 153 95 168 80 104 64 46 130
Character n i v e r s e , a n d p o w e r f u l m o d
Milliseconds 96 38 178 80 160 177 79 72 54 106 86 74 18 134 64 22 72 162 193 62 73 104 136 80 72
Character e r n i n s t r r -r u m e n t s h e l p u i
Milliseconds 81 151 97 53 114 72 142 146 7 89 640 168 120 120 95 137 46 98 114 134 78 48 115 135 9
Character -i s s e e m o r e a n d m o r e . I n
Milliseconds 447 112 80 104 54 195 71 144 33 63 161 62 89 96 46 66 96 46 42 168 65 143 160 80 160
Character t h i s s e c t i o n w e i n t o -o r o d u
Milliseconds 176 192 72 112 104 80 80 81 248 88 78 40 161 160 112 54 154 46 106 89 479 145 90 206 88
Character c e t h e i d e a s f - -f o f a v e r a
Milliseconds 119 80 161 247 56 72 38 122 32 54 154 106 150 128 104 280 120 153 54 113 441 79 104 213 124
Character g e a n d i n s t a n t a n e o u s r a t e
Milliseconds 119 88 73 98 77 55 105 145 79 96 128 128 104 208 241 167 432 242 61 144 154 311 97 127 104
Character d o f - -f -o - -d s o f c h a n g e , a n
Milliseconds 47 73 95 74 103 305 135 151 186 136 39 120 81 46 113 193 46 137 41 103 129 87 96 224 104
Character d s o h -h -o h o w t h a t t h e y a r e
Milliseconds 120 72 167 74 8 456 110 202 47 57 54 161 47 113 63 66 135 55 105 88 81 96 87 89 119
Character c l o s e l y r t e a -r -t -e -a r e l a t e d t
Milliseconds 177 96 175 121 50 60 195 143 216 7 87 98 375 0 0 0 233 136 176 120 119 105 65 71 104
Character o t h e s l o p - e o f a c u r v e
Milliseconds 64 46 154 40 71 65 112 96 191 63 106 416 62 90 104 26 118 143 73 160 80 120 112 103 73
Character a t a p o i n t P o n t h e c u r v e
Milliseconds 151 63 90 264 128 152 38 178 72 48 112 136 120 264 38 186 120 32 320 112 128 96 88 94 122
Character . W e g f v -g -f -v g i v e p r e c s -s i s e
Milliseconds 107 141 120 176 71 97 7 177 385 0 0 207 54 74 152 105 104 87 160 88 152 344 160 54 34
Character d e v e l o p m e n e t s -s -t -e t s o f t h
Milliseconds 104 160 54 90 80 152 215 154 223 120 86 98 112 104 296 136 136 184 46 90 62 90 56 88 54
Character e s e i m p o r t a n t c o n c e p t s i n
Milliseconds 114 168 96 104 120 104 7 97 80 168 120 73 119 104 128 63 59 86 64 88 169 79 72 96 102
Character t h e n e x t c h a p t e r s , b -b - -,
Milliseconds 154 96 47 79 42 137 37 74 88 96 176 54 114 128 200 62 162 96 7 57 192 280 152 160 144
Character - -s , b u t f o r n o w -w - w w e u s
Milliseconds 417 142 305 311 193 88 80 62 242 39 137 9 111 112 104 199 361 121 79 88 104 47 89 110 58
Character e a n i n f o r m a l a p p r o a c h s o
Milliseconds 64 104 248 120 81 135 120 26 126 89 62 113 47 89 96 104 120 87 145 113 368 160 192 126 66
Character y o u w i l l s e e h o w t h e y l e
Milliseconds 72 120 99 76 80 65 78 66 136 72 96 46 161 41 112 64 88 15 153 64 80 65 69 137 26
Character a d n a t u r a l l y t t o - -o -t - -t t o
Milliseconds 103 117 106 105 78 122 72 80 96 96 136 152 7 43 110 16 96 286 138 160 144 160 144 30 178
Character -o - -t t o t h e m a i n i d e a o f t
Milliseconds 464 291 149 184 80 88 62 210 48 72 64 134 81 81 64 168 112 112 64 160 384 96 72 97 151
Character h i s v c j a -v -c -j -a c h a p t e r , t h e
Milliseconds 208 47 129 54 122 7 81 72 353 0 0 0 127 80 112 55 177 46 130 72 96 233 37 56 34
Character l i m i t . T h e i d e a o f a l i m i
Milliseconds 192 70 91 103 129 103 152 160 144 63 89 72 46 48 186 152 224 120 88 120 80 104 104 104 96
Character t p l a y s a f o u n d a t i o n a l r o
Milliseconds 80 64 88 80 74 118 128 137 175 94 154 88 80 78 194 96 256 72 47 33 144 96 121 175 96
Character l e t h o u -u -o r o u g h t o u t -t -u -o -t o u t
Milliseconds 152 70 106 86 66 72 110 394 136 113 103 40 200 63 81 136 47 81 288 144 166 162 192 81 79
Character c a l c u l u s .
Milliseconds 112 192 96 95 426 71 160 776 64 129
WPM Timing
Seconds WPM
2.45 68.61
4.9 90.66
7.35 94.74
9.79 83.31
12.24 78.41
14.69 85.76
17.14 83.31
19.59 81.47
22.04 81.67
24.49 83.31
26.94 83.75
29.38 83.72
31.83 85.19
34.28 87.51
36.73 85.59
39.18 83.92
41.63 84.17
44.08 82.22
46.53 82.28
48.97 84.04
51.42 86.11
53.87 85.98
56.32 86.08
58.77 87.39
61.22 87.03
63.67 86.89
66.12 87.12
68.56 86.11
71.01 85.5
73.46 85.76
75.91 84.89
78.36 85.3
80.81 86.13
83.26 86.19
85.71 85.55
88.15 84.81
90.6 85.96
93.05 86.53
95.5 85.07
97.95 84.9
100.4 85.22
102.85 86.57
105.3 85.7
107.74 85.31
110.19 84.94
112.64 85.76
115.09 86.12
117.54 86.37
119.99 85.41
122.44 84.68