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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
- If a+b+c=1, then prove that 8/(27a b c)>{1/a-1}{1/b-1}{1/c-1}> 8.
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- If a ,b , a n dc are distinct positive real numbers such that a+b+c=1,...
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- Prove that b^2c^2+c^2a^2+a^2b^2> a b cxx(a+b+c)(a ,b ,c >0) .
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- Find the minimum value of 4sin^(2)x+4cos^(2)x .
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- Prove that (a b+x y)(a x+b y)>4a b x y(a , b ,x ,y >0)dot
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- The minimum value of the sum of real number a^-5,a^-4,3a^-3,1,a^8 and ...
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- If a1,a2,------ ,an are positive real numbers whose product is a fixe...
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- If a ,b ,c ,d are positive real umbers such that a+b+c+d=2,then M=(a+...
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- A straight line through the vertex P of a triangle P Q R intersects th...
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- If alpha in (0,pi/2), then sqrt(x^2+x)+tan^2alpha/sqrt(x^2+x) is alw...
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- In A B C , prove that cos e c A/2+cos e c B/2+cos e c C/2geq6.
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- In Delta A B C , prove that t a n A+t a n B+t a n Cgeq3sqrt(3),w h e...
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- If a ,b ,c are real numbers such that 0 < a < 1,0 < b < 1,0 < c < 1,a+...
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- If a^2+b^2+c^2=x^2+y^2+z^2=1, then show that a x+b y+c z leq1.
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- Prove that a^4+b^4+c^4> a b c(a+b+c),w h e r ea ,b ,c > 0.
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- Prove that the greatest value of x y is c^3/sqrt(2a b), if a^2x^4+b^2y...
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- If a > b and n is a positive integer, then prove that a^n-b^n > n(a b)...
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- If y = sin^-1(10x) + pi/2 then find the value of dy/dx .
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- If a+b=1,a >0, prove that (a+1/a)^2+(b+1/b)^2geq(25)/2dot
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- If Cr=(n !)/([r !(n-r)]), the prove that sqrt(C1)+sqrt(C2)+.......sq...
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