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

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

A

32,30

B

32,32

C

40,,42

D

42,42

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

Divide 42 into two parts such that one part is twice the other part. Find the Value of the Parts.

A number is divided into two parts such that one part is 10 more than the other. If the two parts are in the ratio 5:3, find the number and the two parts.

A sum is divided in to two parts in the ratio 11: 4. If the smaller part is ₹840 then the bigger part is

Protoplasm of cell consists of two parts, they are

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. The difference of two positive numbers is 10 . If the square of the gr...

    Text Solution

    |

  2. The sum of three numbers is 30 . The first plus three times the second...

    Text Solution

    |

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

    Text Solution

    |

  4. The maximum value of xy subject to x+y =7 is

    Text Solution

    |

  5. The sum of two numbers is 20 . If the product of the square of one num...

    Text Solution

    |

  6. The ratio of the two parts of a number 'a' such that the product of th...

    Text Solution

    |

  7. If x, y, k, m, n are positive and x + y = k, then find the maximum val...

    Text Solution

    |

  8. The difference of a number and its square is maximum, then the number ...

    Text Solution

    |

  9. If alpha,beta are the roots of the quadratic equation x^2-(a-2)x-(a+1)...

    Text Solution

    |

  10. The value of a so that the sum of the squares of roots of the equation...

    Text Solution

    |

  11. The function f(x) = a sin x +1/3 sin 3x has maximum value at x=pi/3. T...

    Text Solution

    |

  12. The focal distance of the point (4,2) on the parabola x^(2)=8y is

    Text Solution

    |

  13. The equation of the normal to the curve x^2=4y at (2,1) is

    Text Solution

    |

  14. The point on the curve y=x^2 which is nearest to (3,0) is

    Text Solution

    |

  15. The point on the curve x^2=2y which is closest to the point (0,5) is

    Text Solution

    |

  16. The minimum distance from the origin to a point on the curve x^(2//3) ...

    Text Solution

    |

  17. The shortest distance from (-6,0) to x^2-y^2+16=0 is

    Text Solution

    |

  18. The points on y=x^2+7x+2 which is closest to the line y=3x-3 is

    Text Solution

    |

  19. The point on the curve y=x^2+4x+3 which is closest to the line y=3x+2 ...

    Text Solution

    |

  20. The shortest distance between the line y-x =1 and the curve x=y^2 is

    Text Solution

    |