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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
- Prove that 2/(b+c)+2/(c+a)+2/(a+b)lt1/a+1/b+1/c ,where a ,b ,c>0.
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- The minimum value of 2^sinx+2^cosx
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- In how many parts an integer N>=5 should be dissected so that the pro...
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- In triangle ABC internal angle bisector AI,BI and CI are produced to m...
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- The minimum value of (x^4+y^4+z^2)/(x y z) for positive real numbers x...
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- If x+y+z=1a n dx ,y ,z are positive, then show that (x+1/x)^2+(y+1/y)^...
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- The least value of 6tan^2varphi+54cot^2varphi+18 is (I)54 when A.M.g...
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- A rod of fixed length k slides along the coordinates axes, If it meet...
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- If y=3^(x-1)+3^(-x-1) , then the least value of y is (a)2 (b)6 (c...
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- If a b^2c^3, a^2b^3c^4,a^3b^4c^5 are in A.P. (a ,b ,c >0), then the mi...
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- If the product of n positive numbers is n^n , then their sum is (a) a ...
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- Minimum value of (b+c)//a+(c+a)//b+(a+b)//c (for real positive number...
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- Prove that px^(q - r) qx^(r - p) + rx^(p - q) gt p + q + r where p,q,...
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- Given are positive rational numbers a ,b , c such that a+b+c=1, then p...
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- Prove that [(a^2+b^2)/(a+b)]^(a+b)> a^a b^b >{(a+b)/2}^(a+b)dot
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- Prove that a^p b^ q <((a p+b q)/(p+q))^(p+q)dot
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- Let x1, x2, ,xn be positive real numbers and we define S=x1+x2++xndot...
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- If 2x^3 +ax^2+ bx+ 4=0 (a and b are positive real numbers) has 3 real ...
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- Find the greatest value of x^2y^3z^4 if x^2+y^2+z^2=1,w h e r ex ,y ,z...
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- Prove that nC1(nC2)^2(n C3)^3.......(n Cn)^n le ((2^n)/(n+1))^((n+1)C2...
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