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If xgt0,ygt0,x+y=32 and x^6+y^6 is minim...

If `xgt0,ygt0,x+y=32 and x^6+y^6` is minimum then the numbers are

A

9,6

B

7,8

C

10,5

D

4,13

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AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-II
  1. The minimum value of the function f(x)=2^(x^2+8x+6) is obtained at x =

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  2. The minimum value of 2^((x^2-3)^3+27) is

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  3. If xgt0,ygt0,x+y=32 and x^6+y^6 is minimum then the numbers are

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  4. f(x) = sin x(1+ cos x) has maximum value at x=

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  5. The curve y=xe^x has

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  6. If (l,m,n) are the direction cosines of a line, find the maximum value...

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  7. If a^2x^4+b^2y^4=c^6 then the maximum value of xy is

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  8. Maximum value of x/((x+a)(x+b)) occurs when x=

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  9. The maximum value of 4sin^2x+3cos^2x+sinx/2+cosx/2 is

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  10. The point on the curve y=x/(1+x^2) where the tangent to the curve has ...

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  11. The least value of (sin^(-1)x)^3+(cos^(-1)x)^3 is

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  12. If A gt 0, b gt 0 and A+B =pi//3, then the maximum value of tan A tan ...

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  13. Let f(x) = (1+b^(2))x^(2) + 2bx + 1 and let m (b) be the minimum value...

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  14. If f(x) = a log |x| + bx^(2) + x has extreme values at x = -1 and x = ...

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  15. The condition that f(x) =ax^3+bx^2+cx+d has no extreme value is

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  16. The minimum value of x^(logx) is

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  17. Maximum value of f(x)=(2+x)^(1//3)(1-x)^(2//3) is

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  18. If f^1(x)=(x-a)^8(x-b)^(11) then

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  19. Let f(x) =a0+a1x^2+a2x^4+…….+anx^(2n) be a polynomial in x in R with 0...

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  20. The function f(x)=4x^5-25x^4+40x^3-10 has

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