Home
Class 11
MATHS
Find the positive integers x and y such ...

Find the positive integers x and y such that `x+y=60 " and " xy^(3)` is maximum.

Text Solution

Verified by Experts

The correct Answer is:
15, 45
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise Advanced Subjective Type Questions|60 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (STRAIGHT OBJECTIVE TYPE QUESTIONS)|74 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise Exercise - 8.1 (Long Answer Questions)|24 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

Find the asymptotes of the hyperbola xy - 3y - 2x = 0

IF x,y,z are positive integers (numbers ) then……….

Find the product of (-2xy)(3x - y)

Verify (i) x ^(3) + y ^(3) = (x + y) (x ^(2) -xy + y ^(2)) (ii) x ^(3) -y ^(3) = (x-y) (x ^(2) +xy +y ^(2)) using some non-zone positive integers and check by actual multiplication. Can you call these as identities ?

If x, y are positive real numbers such that xy = 1 then show that the minimum value of x + y is 2.

AAKASH SERIES-MAXIMA AND MINIMA -Exercise - 8.2 (Long Answer Questions)
  1. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  2. Find the absolute maximum value and absolute minimum value of the foll...

    Text Solution

    |

  3. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  4. Find the absolute maximum value and absolute minimum value of the foll...

    Text Solution

    |

  5. Find local maximum or local minimum of f(x) = -sin 2x - x defined o [-...

    Text Solution

    |

  6. Use the first derivative test to find the local extrema of f(x) =x^(3)...

    Text Solution

    |

  7. Find the absoloute extremum of f(x) = 4x - (x^(2))/(2) on [-2, (9)/(2)...

    Text Solution

    |

  8. Use the first derivative test to find local extrema of f(x) = x^(2) - ...

    Text Solution

    |

  9. The profit function P (x) of a company selling x items is given by P(x...

    Text Solution

    |

  10. Use the second derivative test to find local extrema of the function f...

    Text Solution

    |

  11. Find the absolute maximum and absolute minimum of f(x) = 2x^(3) - 3x^(...

    Text Solution

    |

  12. Find the positive integers x and y such that x+y=60 " and " xy^(3) is...

    Text Solution

    |

  13. If the curved surface of right circular cylinder inscribed in a sphere...

    Text Solution

    |

  14. The profit function P(x) of a company selling x items per day is given...

    Text Solution

    |

  15. A wire of length l is cut into two parts which are bent respectively i...

    Text Solution

    |

  16. Find the absolute maximum and absolute minimum of f(x) =8x^(3) + 81x^(...

    Text Solution

    |

  17. From a rectangular sheet of dimension 30 cm xx 80 cm, four equal squa...

    Text Solution

    |

  18. Find two positive integers whose sum is 16 and the sum of squares is m...

    Text Solution

    |

  19. A window is in the shap of a rectangle surmounted by a semicircle. If ...

    Text Solution

    |

  20. Find the maximum area of the rectangle that can be formed with fixed p...

    Text Solution

    |