Home
Class 12
MATHS
How should we choose two numbers, eac...

How should we choose two numbers, each greater than or equal to `-2` , whose sum is `1//2` so that the sum of the first and the cube of the second is minimum?

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(6),(1)/(3)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 1 (f) (Long Answer Type Questions (II))|33 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Objective Type Questions (A. Multiple Choice Questions)|45 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 1 (e) (Long Answer Type Questions (I))|32 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find two number whose sum is 100 and the sum of twice of first part and square of the second is minimum.

Divide 10 into two parts such that the sum of double of the first and the square of the second is minimum

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

If sum of two numbers is 3, then maximum value of the product of first and the square of second is

find two numbers such that their sum is 6 and sum of their cubes is minimum

Find two positive numbers whose sum is 14 and the sum of whose squares is minimum

Find two positive numbers whose sum is 16 and the sum of whose squares is minimum

Find two positive numbers whose sum is 16 and the sum of whose cubes is minimum.

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 1 (f) (Long Answer Type Questions (I))
  1. Find two positive numbers x and y such that their sum is 35 and the ...

    Text Solution

    |

  2. Find two positive numbers whose sum is 16 and the sum of whose cube...

    Text Solution

    |

  3. Find two positive numbers x and y such that x + y = 60and x y^3is max...

    Text Solution

    |

  4. How should we choose two numbers, each greater than or equal to -2 ...

    Text Solution

    |

  5. Find the maximum slope of the curve y=-x^3+3x^2+2x-27 .

    Text Solution

    |

  6. Two sides of a triangle are given. The angle between them such that th...

    Text Solution

    |

  7. A wire of length 36m is to be cut into two pieces. One of the piece...

    Text Solution

    |

  8. A wire of length 36cm is cut into the two pieces, one of the pieces is...

    Text Solution

    |

  9. Prove that the perimeter of a right - angled triangle of given hypoten...

    Text Solution

    |

  10. Prove that the area of right-angled triangle of given hypotenuse is...

    Text Solution

    |

  11. Prove that the least perimeter of an isosceles triangle in which a cir...

    Text Solution

    |

  12. Show that of all the rectangles of given area, the square has the s...

    Text Solution

    |

  13. Show that the rectangle of maximum perimeter which can be inscribed...

    Text Solution

    |

  14. Show that the rectangle of maximum area that can be inscribed in a ...

    Text Solution

    |

  15. Show that of all the rectangles inscribed in a given fixed circle, ...

    Text Solution

    |

  16. A rectangle is inscribed in a semi-circle of radius r with one of its ...

    Text Solution

    |

  17. Of all rectangles, each of which has perimeter : (i) 40 cm (ii) 60...

    Text Solution

    |

  18. An open box with a square base is to be made out of a given quantit...

    Text Solution

    |

  19. Show that the semi - vertical angle of the right - circular cone of ma...

    Text Solution

    |

  20. Prove that the semi-vertical angle of the right circular cone of given...

    Text Solution

    |