Home
Class 12
MATHS
The sides of an equilateral triangle are...

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. Find the rate at which the area increases, when the side is 10 cm.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos
  • DETERMINANTS

    RD SHARMA ENGLISH|Exercise All Questions|441 Videos

Similar Questions

Explore conceptually related problems

The sides of an equilateral triangle are increasing at the rate of 2 cm/s. Find the rate at which the area increases, when the side is 10 cm .

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec . The rate of which its area increases, when side is 10 cm, is

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. How far is the area increasing when the side is 10 cms?

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. How fast is the area increasing when the side is 10 cm ?

The side of an equilateral triangle is increasing at the rate of 2 cm/sec. At what rate its area increasing when the side of the triangle is 20 cm.

The side of an equilateral triangle is increasing at the rate of 10cm/sec . Find the rate of increase of its perimeter.

The radius of a circle is increasing uniformly at the rate of 4 cm/sec. Find the rate at which the area of the circle is increasing when the radius is 8 cm.

The radius of a circle is increasing uniformly at the rate of 3 cm/s. Find the rate at which the area of the circle is increasing when the radius is 10 cm.

The Sides of an equilateral triangle expands at the rate of 2 cm/sec. The rate of increase of its area when each side is 10 cm,is

Radius of a circle is increasing at rate of 3 cm//sec Find the rate at which the area of circle is increasing at the instant when radius is 10 cm.

RD SHARMA ENGLISH-DERIVATIVES AS A RATE MEASURER -All Questions
  1. The radius of a circle is increasing uniformly at the rate of 4 cm/...

    Text Solution

    |

  2. If the area of circle increases at a uniform rate, then prove that the...

    Text Solution

    |

  3. The sides of an equilateral triangle are increasing at the rate of ...

    Text Solution

    |

  4. The radius of a balloon is increasing at the rate of 10 cm/sec. At ...

    Text Solution

    |

  5. A spherical ball of salt is dissolving in water in such a manner that ...

    Text Solution

    |

  6. Find an angle theta , which increases twice as fast as it sine.

    Text Solution

    |

  7. A stone is dropped into a quiet lake and waves move in circles at a...

    Text Solution

    |

  8. differentiate xsinx with respect to x.

    Text Solution

    |

  9. The volume of a cube is increasing at a rate of 9 cm^3/sec . How fast...

    Text Solution

    |

  10. The volume of a cube is increasing at a constant rate. Prove that the ...

    Text Solution

    |

  11. find f ' (x) if f(x) = sinxlogx

    Text Solution

    |

  12. For the curve y=5x-2x^3 , if x increases at the rate of 2 units/sec, t...

    Text Solution

    |

  13. The length  of a rectangle is decreasing at the rate of 2 cm/sec a...

    Text Solution

    |

  14. find f '(x) if f(x)= log(logx)

    Text Solution

    |

  15. find dy/dx if y= sinx.cosx

    Text Solution

    |

  16. find dy/dx if y = x tanx

    Text Solution

    |

  17. A ladder of length 5 m is leaning against a wall. The bottom of ladde...

    Text Solution

    |

  18. The two equal sides of an isosceles triangle with fixed base b are dec...

    Text Solution

    |

  19. An airforce plane is ascending vertically at the rate of 100 km/h. ...

    Text Solution

    |

  20. Water is dripping out from a conical funnel of semi-vertical angle pi/...

    Text Solution

    |