Home
Class 12
MATHS
Divide 64 into two parts such that the...

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

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-B( Objective Type Questions ( One option is correct ))|31 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option are correct ))|1 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|39 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

Divide 29 into two parts so that the sum of the squares of the parts is 425.

Divide 16 into two parts such that the sum of their cubes is minimum.

Divide 15 into two parts such that the sum of their reciprocals is 3/10 .

If an angle alpha be divided into two parts such that the ratio of tangents of the parts is K. If x be the difference between the two parts , then prove that sinx = (K-1)/(K+1) sin alpha .

Divide 20 into two parts such that the product of one part and the cube of the other is maximum. The two parts are

Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164.

Divide Rs 351 into two parts such that one may be to the other as 2: 7.

Divide 15 into two parts such that product of square of one part and cube of other is maximum

Find two number whose sum is 8 and the sum of their cubes is minimum.

A chord of circle divides the circle into two parts such that the squares inscribed in the two parts have area 16 and 144 square units. The radius of the circle , is

AAKASH INSTITUTE ENGLISH-APPLICATION OF DERIVATIVES-Assignment SECTION-A (Competition Level Questions)
  1. The interval on which f(x)=2x^(3)+9x^(2)+12x-1 is decreasing in

    Text Solution

    |

  2. The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Consider the function f(x)=xcosx-sinxdot Then identify the statement w...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The function f is defined by f(x)=x^(p)(x-1)^(q)"for all "x inR, where...

    Text Solution

    |