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For xgeq0 , the smallest value of the fu...

For `xgeq0` , the smallest value of the function `f(x)=(4x^2+8x+13)/(6(1+x)),` is

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. If y=(x^4)/(x^8+8x^2) , then find the value of dy/dx

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  2. If a , b ,c are three distinct positive real numbers in G.P., then pro...

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  3. For xgeq0 , the smallest value of the function f(x)=(4x^2+8x+13)/(6(1...

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  4. If first and (2n-1)^th terms of an AP, GP. and HP. are equal and the...

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  5. For positive real numbers a ,bc such that a+b+c=p , which one holds?...

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  6. If x ,y ,z are positive numbers is AdotPdot,t h e n (a)y^2geqx z ...

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  7. int 1/((1-x^2)sqrt(1+x^2))dx

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  8. If a >0, then least value of (a^3+a^2+a+1)^2 is (a)64 a^2 (b)16 a^4 ...

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  9. The minimum value of |2z-1|+|3z-2| is

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  10. If a ,b ,c ,d in R^+ such that a+b+c=18 , then the maximum value of a...

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  11. If x ,y and z are posirive real umbers and x=(12-y z)/(y+z) . The max...

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  12. Let x^2-3x+p=0 has two positive roots aa n db , then minimum value if ...

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  13. If a ,b ,c in R^+ , then the minimum value of a(b^2+c^2)+b(c^2+a^2)+...

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  14. If a ,b ,c ,d in R^+and a ,b ,c,d are in H.P., then (a)a+d > b+c (...

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  15. The minimum value of P=b c x+c a y+a b z , when x y z=a b c , is a. 3...

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  16. If l ,m ,n are the three positive roots of the equation x^3-a x^2+b x-...

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  17. If positive numbers a ,b ,c are in H.P., then equation x^2-k x+2b^(10...

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  18. For x^2-(a+3)|x|=4=0 to have real solutions, the range of a is a(-oo,-...

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  19. If a ,b ,c are the sides of a triangle, then the minimum value of a/(...

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  20. If a ,b ,c ,d in R^+-{1}, then the minimum value of (log)d a+(log)b ...

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