Home
Class 12
MATHS
Find two numbers x and y such that x+y=1...

Find two numbers x and y such that `x+y=15andx^(2)y^(3)` is maximum.

Text Solution

Verified by Experts

The correct Answer is:
6, 9
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE (Multiple choice questions)|3 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE |73 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION VI)|9 Videos

  • APPLICATION OF INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE|36 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)|94 Videos

Similar Questions

Explore conceptually related problems

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

Find real numbers x and y such that 3x +2iy-ix+5y =7 +5i .

Find two positive numbers x and y such that their sum is 35 and product x^(2)y^(5) is maximum.

Find two positive numbers x and y such that their sum is 35 and the product x^2y^5 is a maximum.

Find two positive numbers 'x' and 'y' such that their sum is 35 and product x^2y^5 is maximum.

BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-ASSIGNMENT (SECTION VII) (Long Answer Type Questions)
  1. Find two positive numbers whose sum is 32 and product is large as poss...

    Text Solution

    |

  2. Find two numbers x and y such that x+y=15andx^(2)y^(3) is maximum.

    Text Solution

    |

  3. Find two positive numbers whose sum is 24 and their sum of squares is ...

    Text Solution

    |

  4. Find two positive numbers x and y such that x+y=36andxy^(3) is maximum...

    Text Solution

    |

  5. Find two positive numbers whose sum is 14 and sum of squares is minimu...

    Text Solution

    |

  6. Find the area of the largest rectangle having the perimeter 200 cm.

    Text Solution

    |

  7. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  8. Find the point on the curve x^(2)=8y which is nearest to the point (2,...

    Text Solution

    |

  9. A figure consists of a semi-circle with a rectangle on its diameter. G...

    Text Solution

    |

  10. A window consists if a semi-circle with a rectangel on its diameter. I...

    Text Solution

    |

  11. A square piece of tin of side 18 cm is to be made into a box without t...

    Text Solution

    |

  12. Show that the surface area of a closed cuboid with surface base and gi...

    Text Solution

    |

  13. Find two positive numbers whose sum is 14 and their sum of squares is ...

    Text Solution

    |

  14. Show that the height of the cylinder, open at the top of given surface...

    Text Solution

    |

  15. Find the rate of change of the area of the circle with respect to its ...

    Text Solution

    |

  16. Show that the height of the cylinder of maximum volume that can be ins...

    Text Solution

    |

  17. Show that height of the cylinder of greatest volume which can be inscr...

    Text Solution

    |

  18. The radius of the circle is increasing at the rate of 0.7 cm/s . What ...

    Text Solution

    |

  19. A balloon which always remain spherical has a variable radius. Find th...

    Text Solution

    |