1
varun
·2008-11-15 03:48:48
is it then 29 ?
as Î /2 is an integer for all multiples of 7 and there are 29 multiples of 7 in [-100,100] ?
33
Abhishek Priyam
·2008-11-15 03:10:42
opsie...
lagat hai raat me dimag chalega...
62
Lokesh Verma
·2008-11-15 03:17:38
No varun :)
not again :P
can u guys give more logic to weigh ur answers so that we can then find some flaws.?
1
varun
·2008-11-15 03:34:13
[y] = sin[x] ε [-100,100]
[y] can have values -1,0,1.
[y] = -1 => y [-1,0)
[y] = 0 => y [ 0,1)
[y] = 1 => y [ 1,2)
Now x ε [100,100] in terms of rad ..
therefore x ε [-5727,5727] in terms of degrees.
[y] can have those values only when [x] is a multiple of 90..
therefore the number of multiples of 90 in [-5727,5727] is 127.
x can also vary ~ 1 unit. therefore the area is 127 * 1 * 1 = 127 ..
Lol that's what I did ...
62
Lokesh Verma
·2008-11-15 03:37:07
varun ur guess was very good..
tell me one point (x,y) where
[y]=-1 and it satisfies the above equation [y]=sin[x]
:P
for all the values that u have found
1
varun
·2008-11-15 03:44:47
(-Î /2 , -1) ..
or is it that -Î /2 is not an integer so [x] can't be -Î /2 ?
62
Lokesh Verma
·2008-11-15 03:45:32
yes exactly varun :).. u got my point!
33
Abhishek Priyam
·2008-11-15 03:07:50
No area is 48 for x=[0,100]??
62
Lokesh Verma
·2008-11-15 03:51:21
lol.. no dude.. not yet :)
may be u could try to draw graph :)
btw the right answer has already been written on this page
33
Abhishek Priyam
·2008-11-15 07:25:35
lol.........
what i was trying was just other's mistake of yesterday.....y=[sin[x]]
Actually i thought the same question can't be today also...
So i thought y=[sin[x]]... Next time will read questions carefully.....
but solvingy=[sin[x]] was a gr8 fun and its answer came 98....
too lengthy.....for that interval....[-100,100]
[3][3][3][3][3][3][3][3][3][3][3][3][3][3][3][3][3][3][3][3][3][3][3]
62
Lokesh Verma
·2008-11-15 07:27:05
lol... no worries :)
i only hope that u guys are really benefiting from this section :)
33
Abhishek Priyam
·2008-11-15 07:29:24
But that 98 took so much counting......Oh dear where sin[x] is negative was so tedious but this section is very very useful.....
The best section...
62
Lokesh Verma
·2008-11-15 07:40:58
The Solution:
The LHS is [y] so LHS is always an Integer!
RHS takes values sin[x] between x=-100,100, ..
[x] can take values -100,-99, -98..... 0,1,2,..........99
sin[x] can take values sin(-100) , sin(-99), sin(-98)........ sin(0), sin(1).... sin(99)
of these, only sin (0) is an integer!
so for all values of x other than those for which [x]=0 we have no solution at all!!!
Now we have a block of square from (0,0) to (1,1) as the solution...
For the whole detail of the question visit day before yesterday's question of the day!
13th november (Edited)
1
vibhav roy
·2008-11-14 23:10:08
we know that the maxm value of sine is 1 which is at 90 and which can be the only possible value of y except zero. so the area must be 2
am i right nishant?
62
Lokesh Verma
·2008-11-15 02:46:16
No.. i dont see any of these as the answers :)
Give me some more values(or methods) :)
33
Abhishek Priyam
·2008-11-15 02:48:58
Ok i think the answer is: :)
62
Lokesh Verma
·2008-11-15 02:49:00
This is an extreme googly...
Lets see how many of u crack it..
if you really understood the "question of the day" yesterday.. this should be much easier! :)
Lol.. priyam.. i still want to know what ":)" means :D
33
Abhishek Priyam
·2008-11-15 02:50:31
Ok i think the answer is : skygirl/vibhav
1
varun
·2008-11-15 02:51:33
Is it 3 ?
at x = -90, x = 0 and x = 90 ?
62
Lokesh Verma
·2008-11-15 02:53:29
No varun and priyam.. neither..
tell me ur methods... in a bit more detail.!
33
Abhishek Priyam
·2008-11-15 02:54:59
damn..... ok let me try first.....