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

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

A

`pi^3/(23)`

B

`pi^2/(32)`

C

`pi^3/(32)`

D

`pi^2/(23)`

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AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-II
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  2. The point on the curve y=x/(1+x^2) where the tangent to the curve has ...

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

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

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

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

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

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

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

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

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

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

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  13. The function x (x-1) (x-2) attains its maximum value when x is

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  14. If x+y = 6543298 and x^(11)y^5 is maximum then the ratio of the number...

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  15. If xgt0,ygt0,x+y=3 and xy is maximum then the maximum value of xy is

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  16. A line segment of length 8cm is divided into two parts AP and PB by a ...

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  17. The value of 'a' for which the function f(x) =a sin x+1/3 sin 3x has a...

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  18. The real number x when added to its inverse gives the minimum value of...

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  19. The difference of two positive numbers is 10 . If the square of the gr...

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  20. The positive real number which most exceeds its cube is

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