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The values of a and b for which all the ...

The values of a and b for which all the extrema of the function, `f(x)=a^(2)x^(3)-0.5ax^(2)-2x-b,` is positive and the minima is at the point `x_(0)=(1)/(3),` are

A

when `a=-2rArrblt-(11)/(27)" and when a"=3rArrblt-(1)/(2)`

B

when`a=3rArrblt-(11)/(27)"and when a"=2rArrblt-(1)/(2)`

C

when `a=-2rArrblt-(1)/(2)" and when a"=3rArrblt-(11)/(27)`

D

None of the above

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ARIHANT MATHS ENGLISH-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
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  5. Let f:(0,oo)vecR be given by f(x)=int(1/x)^x(e^(-(t+1/t))dt)/t , then ...

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  9. Let f,g and h be real-valued functions defined on the interval [0,1] b...

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  10. e total number of local maxima and local minima of the function f(x) =...

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  12. The second degree polynomial f(x), satisfying f(0)=o, f(1)=1,f'(x)gt...

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  13. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

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  14. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

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  15. The length of the longest interval in which the function 3sinx-4sin^3x...

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  16. If f(x)=e^(1-x) then f(x) is

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  17. The maximum value of (cosalpha(1))(cos alpha(2))...(cosalpha(n)), un...

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  18. If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt ...

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  19. If f(x) is a cubic polynomil which as local maximum at x=-1 . If f(2)=...

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  20. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  21. about to only mathematics

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