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Divide 64 into two parts such that th...

Divide 64 into two parts such that the sum of the cubes of two parts is minimum.

A

44,20

B

16,48

C

32,32

D

50,14

Text Solution

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The correct Answer is:
C
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AAKASH INSTITUTE-APPLICATION OF DERIVATIVES-Assignment SECTION-A (Competition Level Questions)
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  2. The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) ...

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  3. Divide 64 into two parts such that the sum of the cubes of two part...

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  4. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=pa n dx=q ...

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  5. A point on the parabola y^2=18 x at which the ordinate increases at tw...

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  6. The real number x when added to its inverse given the minimum value of...

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  7. Which of the following statement is true for the function f(x)={{:(sqr...

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  8. The function f(x)=x^(3)-3x is

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  9. If f(x)=x^(3)+x^(2)+kx+4 is always increasing then least positive int...

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  10. A curve is represented by the equations x=sec^2ta n dy=cott , where t ...

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  11. Statement 1: For all a ,b in R , the function f(x)=3x^4-4x^3+6x^2+a x...

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  12. Maximum area of a reactangle which can be inscribed in a circle of a...

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  13. If atmosphere pressure at a height of h units is given by the function...

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  14. The radius of cylinder of maximum volumne which can be inscribed in a...

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  15. Let f(x)={{:(-|x-2|, ,x le 3 ),(x^(2)-2x-4,, x gt 3 ):} Then the n...

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  16. The curve y-e^(xy)+x=0 has a vertical tangent at the point :

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  17. Consider the function f(x)= x cos x - sin x , then identify the statem...

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  18. If x=2t-3t^(2) and y=6t^(3) then (dy)/(dx) at point (-1,6) is

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  19. For the cubic function f(x)=2x^3+9x^2+12 x+1, which one of the followi...

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  20. The function 'f' is defined by f(x)=x^p(1-x)^q for all x\ in R , whe...

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