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joyfrancis (1504)

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Find domain of
(sinx)1/2 + (16-x2)1/2
 

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johri_anshuman (1190)

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16-x^2>=0
=>x belongs to [-4,4]

sin x>=0
so x belongs to [2n pi, (2n+1)pi]

take common solution

x belongs to [-4,-pi] U [0,pi]



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srini (397)

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For sin x=
sinx>0 x  [o,]
for 16-x2 x>4
so
x [0,TI]

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vasanth (2315)

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the reqd conditions are
 
16 - x^2 >=0  implies -4 <= x <= 4
 
sinx >= 0  implies x belongs to [2n pi, 2n pi+pi]
 
but the first condition restricts our domain of sinx>=0 to x = [0, pi]
 
so ans is [-4,4]  [0,pi]
 
ans: [0,pi]
 
cheers!
oops didnt c srini's soln.
newayz gud work

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spideyunlimited (4223)

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Ans) xE [0,4]


x^2>=16
x E [-4,4]

sinx >=0... thus x is 0 to pi, 2pi tp 3pi, 4pi to 5pi....
x E [ 2 n pi , (2n+1) pi ]

intersection of the two is x E [0,pi]


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spideyunlimited (4223)

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i cant believe no one else has got the correct answer... people value of pi is 3.14
and @johrianshuman ur intersection is totally wrong

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priyesh (1607)

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vasanth is correct
gaurav ur wrong
please explain how did u take the intersection
yaar pi is 3.14 which is less than four hence domain will be from [zero to pi]

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spideyunlimited (4223)

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oh damn ur right.. lagta hai raat ko my mind doesnt think clearly

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joyfrancis (1504)

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what about values between -4 and -pi, sin would be +ve there too.
shouldn't the answer be
[-4,-pi]U[0,pi]

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priyesh (1607)

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arey haan the answer will be [-4,-pi] U [0,pi]
johri_anshuman is correct

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johri_anshuman (1190)

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Heres the proper explanation

x belongs to [-4,4]

x belongs to [2n pi, (2n+1)pi]
=> x belongs to [-2pi , -pi] U [0 , pi]

Now take common solution

x belongs to [ -4 , -pi] U [0 , pi]


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spideyunlimited (4223)

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yep,, shit ...didnt plot graph n see

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