Home
Class 12
MATHS
Find two positive numbers whose sum is 1...

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

Text Solution

Verified by Experts

The correct Answer is:
8,8
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    OMEGA PUBLICATION|Exercise Important Questions from (Miscellaneous Exercise )|48 Videos

  • APPLICATION OF DERIVATIVES

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|34 Videos

  • APPLICATION OF INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions|16 Videos

Similar Questions

Explore conceptually related problems

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

Find two positive numbers whose sum is 15 and the sum of whose squares is minimum.

Find two positive numbers whose sum is 24 and whose product is maximum.

Find two positive numbers whose sum is 16 and product is maximum.

Find two positive numbers whose product is 49 and their sum is minimum.

OMEGA PUBLICATION-APPLICATION OF DERIVATIVES -Multiple Choice Questions (MCQs)
  1. Find two positive numbers whose sum is 16 and whose sum of cubes is mi...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the rate of change of the area of a circle per second with respec...

    Text Solution

    |

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

    Text Solution

    |

  5. The total revenue in Rupees received from its sale of x units of a pro...

    Text Solution

    |

  6. An edge of a variable cube is increasing at the rate of 3 cm second. H...

    Text Solution

    |

  7. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

    Text Solution

    |

  8. Find the slope of the tangent to the curve y = 3x^4 - 4x at x = 4 .

    Text Solution

    |

  9. The slope of the normal to the curve y = 2x^2+3 sinx at x=0 is:

    Text Solution

    |

  10. The line y = x+1, is a tangent to the curve y^2 = 4x at the point.

    Text Solution

    |

  11. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

    Text Solution

    |

  12. The line y = mx +1, is a tangent to the curve y^2 = 4x if the value of...

    Text Solution

    |

  13. The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

    Text Solution

    |

  14. If f(x) = 3x^2+15x+5, then the approximate value of f (3.02) is :

    Text Solution

    |

  15. The approximate change in the volume of a cube of side x metres caused...

    Text Solution

    |

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

    Text Solution

    |

  17. For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:

    Text Solution

    |

  18. The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |