Home
Class 12
MATHS
The length x of a rectangle is decreasig...

The length x of a rectangle is decreasign at the rate of 5 cm/min and the width y is incresaing at the rate of 4cm/min. when x = 8 cm and y = 6 cm, find the rates of change of the area of the rectangle.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos
  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

The length 'x' of a rectangle is decreasing at the rate of 3cm/m and width 'y' is increasing at the rate of 2cm/m. When x = 10 cm and y = 6 cm, find the rate of change of : the area of the rectangle.

The length 'x' of rectangle is decreasing at the rate of 2 cm/min and width 'y' is increasing at the rate of 3 cm/min. When x = 8 and y = 6 cm, find the rate of change of the area of rectangle

The length 'x' of rectangle is decreasing at the rate of 3 cm/min and width 'y' is increasing at the rate of 2 cm/min. When x = 8 and y = 4 cm, find the rate of change of, the area of rectangle

The length 'x' of rectangle is decreasing at the rate of 3 cm/min and width 'y' is increasing at the rate of 2 cm/min. When x = 8 and y = 4 cm, find the rate of change of, the Perimeter of rectangle

The length 'x' of a rectangle is decreasing at the rate of 5 cm per minute and the width 'y' is increasing at the rate of 4 cm per minute, when x = 8 cm and y = 6 cm, find the rate of change of the area of the rectangle.

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

    Text Solution

    |

  2. The length 'x' of a rectangle is decreasing at the rate of 5 cm per mi...

    Text Solution

    |

  3. The length x of a rectangle is decreasign at the rate of 5 cm/min and ...

    Text Solution

    |

  4. A balloon which always remains spherical is being inflated by .pumping...

    Text Solution

    |

  5. A balloon, which always remains spherical has a variable radius. Find ...

    Text Solution

    |

  6. A ladder 5 m long is leaning against a wall. The bottom of the ladder ...

    Text Solution

    |

  7. A particle moves along the curve 6y = x^3+2. Find the points on the cu...

    Text Solution

    |

  8. The radius of an air bubble is increasing at the rate of 1/2 cm/s. At...

    Text Solution

    |

  9. A balloon, which always remains spherical, has a variable diameter 3/2...

    Text Solution

    |

  10. Sand is pouring from a pipe at the rate of 12 cubic cm./sec. The falli...

    Text Solution

    |

  11. The total cost C(x) in Rupees associated with the production of x unit...

    Text Solution

    |

  12. The total revenue in Rupees received from the sale of x units of a pro...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Show that the function given by f(x) = 3x + 17 is increasing on R.

    Text Solution

    |

  16. Show that the function given by f(x) = e^2x is increasing on R.

    Text Solution

    |

  17. f(x) = sin x is a strictly increasing in (0, pi/2)

    Text Solution

    |

  18. f(x) = sin x is a strictly decreasing in (pi/2,pi)

    Text Solution

    |

  19. Show that the function given by f(x) = sinx is neither increasing no...

    Text Solution

    |

  20. Find the intervals in which the function f given by f(x) = 2x^2 - 3x i...

    Text Solution

    |