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

The length 'x' of a rectangle is decreasing at the rate of `2cm//s` and the width 'y' is increasing at the rate of `2cm//s`.
Find `(dA)/(dt)` when x=12 cm and y = 5 cm.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|57 Videos

Similar Questions

Explore conceptually related problems

The length 'x' of a rectangle is decreasing at the rate of 2cm//s and the width 'y' is increasing at the rate of 2cm//s . Find the rate of change of perimeter.

The length x of a rectangle is decreasing at the rate of 3 cm/minute and the width y is increasing at the rate if 2 cm/minute. When x = 10 cm and y = 6 cm, find the rates of change of (a) the perimeter and (b) the area of the rectangle.

The length x of a rectangle is decreasing at the rate of 3 cm/minute and the width y is increasing at the rate of 2 cm/ minute. When x=10 cm and y=6 cm , find the rates of change of (a) the perimeter and (b) the area of the rectangle.

The length of a rectangle is decreasing at the rate of 5 cm/mi and the width is increasing at the rate of 4cm/min.When length is 8 cm and width is 6 cm, find the rate of change of its area.

The radius of a circle is increasing at the rate of 2cm//s . Find the rate at which area of the circle is increasing when radius is 6 cm.

The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference?

The radius of a cylinder is increasing at a rate of 1 cm//s and its height decreasing at a rate of 1 cm//s . Find the rate of change of its volume when the radius is 5 cm and the height is 5 cm.

MAXIMUM PUBLICATION-APPLICATION OF DERIVATIVES-EXAMPLE
  1. Find the approximate change in the surface area of a cube of side x me...

    Text Solution

    |

  2. The length 'x' of a rectangle is decreasing at the rate of 2cm//s and ...

    Text Solution

    |

  3. The length 'x' of a rectangle is decreasing at the rate of 2cm//s and ...

    Text Solution

    |

  4. Find the points on the curve x^2+y^2-2x-3=0 at which the tangent are...

    Text Solution

    |

  5. Find the equation of the tangent to the curve y=sqrt(3x-2) which is pa...

    Text Solution

    |

  6. Prove that the curve x=y^2 and xy=k cut at right angles, if 8k^2=1.

    Text Solution

    |

  7. The gradient at any point (x,y) of a curve is 3x^2-12 and the curve th...

    Text Solution

    |

  8. The gradient at any point (x,y) of a curve is 3x^2-12 and the curve th...

    Text Solution

    |

  9. Consider the curve x^(2/3)+y^(2/3)=2 Find the slope of the tangent t...

    Text Solution

    |

  10. Consider the curve x^(2/3)+y^(2/3)=2 Find the equation of the normal...

    Text Solution

    |

  11. Find the intervals in which the function f given by f(x)=2x^3-3x^2-36x...

    Text Solution

    |

  12. Find the intervals in which the function f given by f(x)=2x^3-3x^2-36x...

    Text Solution

    |

  13. Use differentials to find the approximate value of sqrt0.6 up to 3 pla...

    Text Solution

    |

  14. Use differentials to find the approximate value of (0.999)^(1/10) up t...

    Text Solution

    |

  15. Use differentials to find the approximate value of (15)^(1/4) up to 3 ...

    Text Solution

    |

  16. Use differentials to find the approximate value of (26.57)^(1/3) up to...

    Text Solution

    |

  17. Find the approximate value of f(5.001) where f(x)=x^3-7x^2+15.

    Text Solution

    |

  18. Find the approximate value of f(3.02) where f(x)=3x^2+5x+3.

    Text Solution

    |

  19. Consider the function y=sqrtx If x=0.0036 and trianglex=0.0001 find ...

    Text Solution

    |

  20. Consider the function y=sqrtx Hence approximate sqrt.0037 using diff...

    Text Solution

    |