Home
Class 12
MATHS
Find two positive numbers x and y such t...

Find two positive numbers x and y such that
x+y=28 and xy is maximum.

Text Solution

AI Generated Solution

To solve the problem of finding two positive numbers \( x \) and \( y \) such that \( x + y = 28 \) and the product \( xy \) is maximized, we can follow these steps: ### Step 1: Set up the equations We are given the equation: \[ x + y = 28 \] From this, we can express \( y \) in terms of \( x \): ...
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|51 Videos
  • FUNCTION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|115 Videos

Similar Questions

Explore conceptually related problems

Find two positive numbers x and y such that xy=36 and x+y is minimum.

Find two positive numbers x and y such that x+y=400 and xy^3 is maximum.

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

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

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

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

Find two positive numbers x and y such that x+y=64 and x^3+y^3 is minimum.

Two numbers x and y such that x+y =2 and x^(3).y is maximum are

Two positive number x and y such that x+y=6, and xy^(2) is as large possible , are

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

MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. Find the extreme values of the function y=2x^3-9x^2+12x+5

    Text Solution

    |

  2. Find the maximum and minimum values of the function y=4x^3-3x^2-6x+1

    Text Solution

    |

  3. Find two positive numbers x and y such that x+y=28 and xy is maximum.

    Text Solution

    |

  4. Find two positive numbers x and y such that x+y=64 and x^3+y^3 is min...

    Text Solution

    |

  5. Find two positive numbers x and y such that x+y=400 and xy^3 is maxim...

    Text Solution

    |

  6. Find two positive numbers x and y such that xy=36 and x+y is minimum.

    Text Solution

    |

  7. Find the point on the curve y^2=4x which is nearest to the point...

    Text Solution

    |

  8. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

    Text Solution

    |

  9. Show that the largest rectangle with a given perimeter is a square.

    Text Solution

    |

  10. Show that of all the rectangles inscribed in a given circle, the sq...

    Text Solution

    |

  11. Show that the triangle of maximum area that can be inscribed in a g...

    Text Solution

    |

  12. Consider an ellipse x^(2)/a^(2) + y^(2)/b^(2)=1 What is the area of ...

    Text Solution

    |

  13. Let A P and B Q be two vertical poles at points A and B respectivel...

    Text Solution

    |

  14. If the length of three sides of a trapezium other than base are equ...

    Text Solution

    |

  15. Show if f(x)=|x| is differentiable for all x.

    Text Solution

    |

  16. If f(x) and g(x) are differentiable for all, x then d/dx(f(g(x)))=f'(...

    Text Solution

    |

  17. If f is differentiable, then d/dxf(sqrtx)=(f'(sqrtx))/(2sqrtx).

    Text Solution

    |

  18. Derive d/dx(tanx)=sec^2 x

    Text Solution

    |

  19. If f(x)=(1+x)(1+x^2)(1+x^3)(1+x^4), then f'(0)=1

    Text Solution

    |

  20. If f(x)=7x-8, then f'(3)=

    Text Solution

    |