Home
Class 12
MATHS
Find the rate of change of the area of a...

Find the rate of change of the area of a circle per second with respect to its radius r when r = 5 cm.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.1|18 Videos
  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.2|23 Videos
  • APPLICATION OF INTEGRALS

    NCERT TAMIL|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the rate of change of the area of a circle with respect to its radius r when (a) r=3 cm " " (b) r=4 cm

The rate of change of the area of a circle with respect to its radius r at r = 6 cm is

Find the rate of change of volume of a sphere with respect to its surface area when the radius is 2cm.

xa n dy are the sides of two squares such that y=x-x^2 . Find the rate of the change of the area of the second square with respect to the first square.

xa n dy are the sides of two squares such that y=x-x^2 . Find the rate of the change of the area of the second square with respect to the first square.

If the volume of a cube of side length x is v=x^(3) . Find the rate of change of the volume with respect to x when x = 5 units.

If the volume of a cube of side length x is V = x^(3) . Find the rate of change of the volume with respect to x when x = 5 units.

If the volume of a cube of side length x is V=x^(3) . Find the rate of change of the volume with respect to x when x = 5 units.

The volume of a sphere is given by V= 4/3 pi R^3 where R is the radius of the sphere (a). Find the rate of change of volume with respect to R. (b). Find the change in volume of the sphere as the radius is increased from 20.0 cm to 20.1 cm. Assume that the rate does not appreciably change between R=20.0 cm to R=20.1 cm.

NCERT TAMIL-APPLICATION OF DERIVATIVES-EXERCISE 6.6
  1. Find the rate of change of the area of a circle per second with respec...

    Text Solution

    |

  2. Using differentials, find the approximate value of each of the followi...

    Text Solution

    |

  3. Show that the function given by f(x) =(logx)/(x) has maximum at x = e.

    Text Solution

    |

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

    Text Solution

    |

  5. Find the equation of the normal to the curve x^(2) = 4y which passes t...

    Text Solution

    |

  6. Show that the normal at any point θ to the curve x = a costheta + a th...

    Text Solution

    |

  7. Find the intervals in which the function f given by f(x) = (4sin x-2...

    Text Solution

    |

  8. Find the intervals in which the function f given by f(x) =x^(3) +(1)/(...

    Text Solution

    |

  9. The area enclosed by the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1...

    Text Solution

    |

  10. A tank with rectangular base and rectangular sides, open at the top is...

    Text Solution

    |

  11. The sum of the perimeter of a circle and square is k, where k is some ...

    Text Solution

    |

  12. A window is in the form of a rectangle surmounted by a semicircular op...

    Text Solution

    |

  13. A point on the hypotenuse of a triangle is at distance a and b from th...

    Text Solution

    |

  14. Find the points at which the function f given by f (x) = (x-2)^(4)(x+1...

    Text Solution

    |

  15. Find the absolute maximum and minimum values of the function f given b...

    Text Solution

    |

  16. Show that the altitude of the right circular cone of maximum volume th...

    Text Solution

    |

  17. Let f be a function defined on [a, b] such that f ′(x) gt 0, for all x...

    Text Solution

    |

  18. Show that the height of the cylinder of maximum volume that can be ins...

    Text Solution

    |

  19. Show that height of the cylinder of greatest volume which can be inscr...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |