Home
Class 12
MATHS
A stone is dropped into a quiet lake and...

A stone is dropped into a quiet lake and waves move in circles at a speed of 3.5 cm per second. At the instant when te radius of the circular wave is 7.5 cm, how fast is the enclosed area increasing?

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

A stone is dropped into a quiet lake and wave move in circles at a speed of 5cm per second. At the instant when the radius of the circular wave is 8 cm, how fast is the enclosed area increasing?

A stone is dropped into a quiet lake and waves move in circles at a speed of 4cm per second. At the instant, when the radius of the circular wave is 10 cm, how fast is the enclosed area increasing?

A stone is dropped into a quiet lake and waves move in circles at the speed of 5 cm/s. At the instant when the radius of the circular wave is 8 cm, how fast is the enclosed area increasing?

A stone is dropped into a quiet lake and waves move in circles at a speed of 3.5 cm per second. At the instant when te radius of the circular wave is 10 cm, the rate of increase of the area enclosed is

If the radius of a circle increases from 5 cm to 5.1 cm, find the increase in area.

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

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

    Text Solution

    |

  2. An edge of a variable cube is increasing at the rate of 3 cm/s. How fa...

    Text Solution

    |

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

    Text Solution

    |

  4. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |