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 4cm per second. At the instant, when the radius of the circular wave is 10 cm, how fast is the enclosed area increasing?

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

A stone is dropped into a quiet lake and waves move in a circle at a speed of 3.5 cm/sec. At the instant when the radius of the circular wave is 7.5 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 pond and waves move in circle at a speed of 4 cm/s . 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 well and progressive waves are moving in circles at a speed of 6cm per second . At the instantt when the radius of circular wave is 15 cm, how fast is enclosed area changing ?

A stone is dropped into a quiet lake and waves move in circles spreading out radially at the speed of 0.5m//s . At the instant when the radius of the circular wave is (4)/(pi) m, how fast is the enclosed area (in m^(2//s) ) increasing ?

A stone dropped into a quiet lake. If the waves moves in circles at the rate of 30 cm/sec when the radius is 50 cm, the rate o increase of enclosed area, is

If by dropping a stone in a quiet lake a wave moves in circle at a speed of 3.5cm/sec, then the rate of increase of the enclosed circular region when the radius of the circular wave is 10 cm, is (pi=(22)/(7))

If by dropping a stone in a quiet lake a wave moves in circle at a speed of 3.5 cm/sec, then the rate of increase of the enclosed circular region when the radius of the circular wave is 10 cm, is (pi=(22)/7) 220s qdotc m//s e c b. 110s qdotc m//s e c c. 35 s qdotc m//s e c d. 350s qdotc m//s e c

A stone is dropped in a quiet lake. If the produced circular waves increase at a rate of 4 cm/sec, then find the rate of increase in its area when the redius of circular wave is 7 cm.

The radius of a circular plate increase at the rate of 0.1 cm per second. At what rate does the area increase when the radius of plate is 5/pi cm ?

RD SHARMA ENGLISH-DERIVATIVES AS A RATE MEASURER -All Questions
  1. The radius of an air bubble is increasing at the rate of 0.5 cm/sec...

    Text Solution

    |

  2. A man 2 metres high walks at a uniform speed of 5 km/hr away from a ...

    Text Solution

    |

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

    Text Solution

    |

  4. A man 160 cm tall, walks away from a source of light situated at the t...

    Text Solution

    |

  5. A man 180 cm tall walks at a rate of 2m/sec. away, from a source of...

    Text Solution

    |

  6. A ladder 13m long leans against a wall. The foot of the ladder is p...

    Text Solution

    |

  7. A particle moves along the curve y=x^2+2xdot At what point(s) on the c...

    Text Solution

    |

  8. If y=7x-x^3 and x increases at the rate of 4 units per second, how fas...

    Text Solution

    |

  9. A particle moves along the curve y=x^3 . Find the points on the curve...

    Text Solution

    |

  10. Find an angle theta ,  which increases twice as fast as its cosine.

    Text Solution

    |

  11. Find an angle theta,  whose rate of increase is twice as the r...

    Text Solution

    |

  12. The top of a ladder 6 metres long is resting against a vertical wal...

    Text Solution

    |

  13. find f ' (2) If f(x) = 3x +7

    Text Solution

    |

  14. Water is running into an inverted cone at the rate of pi cubic metr...

    Text Solution

    |

  15. A man 2 metres high walks at a uniform speed of 5 km/hr away from a ...

    Text Solution

    |

  16. The surface area of a spherical bubble is increasing at the rate of...

    Text Solution

    |

  17. The radius of a cylinder is increasing at the rate 2cm/sec. and its...

    Text Solution

    |

  18. The volume of metal in a hollow sphere is constant. If the inner ra...

    Text Solution

    |

  19. Sand is being poured onto a conical pile at the constant rate of 50 ...

    Text Solution

    |

  20. A kite is 120m high and 130 m of string is out. If the kite is movin...

    Text Solution

    |