Home
Class 12
MATHS
A stone is dropped into a well and progr...

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 ?

Text Solution

Verified by Experts

`180 pi cm^(2)//s`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-A (Competition Level Questions)|50 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-B( Objective Type Questions ( One option is correct ))|31 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-J (Aakash Challengers Questions )|8 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

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 10cm, 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 the radius of the circular wave is 7.5 cm, how fast is the enclosed area increasing ? (Take pi = 22//7 )

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 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 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.

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))

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 ?

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 3.5 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 dropped into a pond of still water sends out concentric circular waves of water,from the point of disturbance, at the rate of 4 cm/sec. When the radius of the wave-ring is 15 cm, the disturbed area is changing at the rate of s

AAKASH INSTITUTE-APPLICATION OF DERIVATIVES-TRY YOURSELF
  1. 2 m ऊंचाई का आदमी 6 m ऊंचे बिजली के खंभे से दूर 5 km/h की समान चाल स...

    Text Solution

    |

  2. एक घन का आयतन 9 cm^3//s की दर से बढ़ रहा है यदि इसके कोर की लम्बाईया...

    Text Solution

    |

  3. A stone is dropped into a well and progressive waves are moving in cir...

    Text Solution

    |

  4. Show that f(x)=[x], ([] implies greatest integer function ) is increas...

    Text Solution

    |

  5. Show that f(x)=1/x is decreasing function on (0,oo)dot

    Text Solution

    |

  6. Prove that funciton given by (i) f(x)=x^(2) is (a) Strictly i...

    Text Solution

    |

  7. Find the interval in which the function f given by f(x)=x^(2)-2x+3 is ...

    Text Solution

    |

  8. सिद्ध कीजिए की f(x)=tan ^(-1)(sin x + cos x ),x gt 0 से प्रदत फलन f...

    Text Solution

    |

  9. Find the slope of tangent to curve y=x+2log x at x=1.

    Text Solution

    |

  10. Distance between the points on the curve 4x^2 + 9y^2 = 1, where tangen...

    Text Solution

    |

  11. Find the point at which the tangent to the curve y=(3)/(5)x^(5)-(5)/(3...

    Text Solution

    |

  12. Find pints on the curve (x^2)/9+(y^2)/(16)=1 at which the tangents ...

    Text Solution

    |

  13. प्रवणता 2 वाली सभी रेखाओं का समीकरण ज्ञात कीजिए जो वक्र y+2/(x-3)=0 क...

    Text Solution

    |

  14. Find the equation of the tangent to the curve y=(x-7)/((x-2)(x-3) at ...

    Text Solution

    |

  15. Find the equation of tangent and normal to the curve x^((2)/(3))+y^((...

    Text Solution

    |

  16. Find the equation of tangent to the curve given by x=2 sin^(3)t ,y=2 ...

    Text Solution

    |

  17. The normal to the curve x=a(cos theta + theta sin theta), y=a(sin thet...

    Text Solution

    |

  18. Prove that the segment of tangent to xy=c^(2) intercepted between the...

    Text Solution

    |

  19. Find the equations of tangent to the curve y=x^(4) which are drawn fro...

    Text Solution

    |

  20. Use differential to approximate sqrt(36. 6)

    Text Solution

    |