Home
Class 12
MATHS
A circular ink-blot grows at the rate of...

A circular ink-blot grows at the rate of 2 `cm^(2)`/s. find the rate at which the radius is increaseing after `2(6)/(11)` seconds.

Text Solution

Verified by Experts

The correct Answer is:
0.25 cm/s
Promotional Banner

Topper's Solved these Questions

  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITVE EXAMINATION|20 Videos
  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|24 Videos
  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos
  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos

Similar Questions

Explore conceptually related problems

A circular ink blot grows at the rate of 2 (cm^2) /(sec) . Find the rate at which the radius is increasing after 2(6)/(11) seconds.

(b)answer any two questions : (i) a circular ink blot grows at the rate of 2cm^2/sec .find the rate at which the radius is increasing after 2 (6/11) seconds

A circular disc of radius 3 cm is being heated. Due to expansion, its radius increases at the rate of 0.05 cm/s. Find the rate at which its area is increasing when radius is 3.2 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 surface area of a spherical bubble is increasing at the rate of 2 cm^(2)//s . Then the rate at which the volume of the bubble is increasing at the instant when its radius is 6 cm, is-

Air is being pumped into a spherical balloon at the rate of 30 cm^(3)//s . Then the rate (in cm//s ) at which the radius increases when it reaches the value 15 cm , is-

The sides of an equilateral triangle are increasing at the rate of 2 cm//s ., then the rate at which the area (in cm^(2)//s ) increases when the side is 10 cm , is-

A 5 ft long walks away from the foot of a 12(1)/(2)ft high lamp-post at the rate of 3 mi/h. find the rate at which his shadow is increasing.

If water is poured into an inverted hollow cone whose semi-vertical angle is 30^0, show that its depth (measured along the axis) increases at the rate of 1 cm/s. Find the rate at which the volume of water increases when the depth is 24 cm.

The radius of a circular plate is increasing at the rate of 0.01 cm/s when the radius is 12 cm. Then the rate at which the area (in cm^(2)//s ) increases is -

CHHAYA PUBLICATION-SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE-LONG ANSWER TYPE QUESTIONS
  1. In the triangle ABC, if the sides a,b reamain constant but the base an...

    Text Solution

    |

  2. The period of oscillation T of a simple pendulum of length l is connec...

    Text Solution

    |

  3. The radius of sphere is found to be 20 cm with a possible error fo 0.0...

    Text Solution

    |

  4. Show that the relative error in computing the volume of cube, due to ...

    Text Solution

    |

  5. The radius of a balloon is 7 cm. If an error of 0.01 cm is made n meas...

    Text Solution

    |

  6. Water is flowing into a right circular conical vessel, 24 inches deep ...

    Text Solution

    |

  7. A man 6 ft tall walks away from the foot of a lamp-post 15 ft high at ...

    Text Solution

    |

  8. A man 6 ft tall walks away from the foot of a lamp-post 15 ft high at ...

    Text Solution

    |

  9. The base of a water tank is a square of side 3 ft. find the rate of fl...

    Text Solution

    |

  10. Sand is poured onto the ground at the rate of 3 ft^(3) /min to form a ...

    Text Solution

    |

  11. A ladder 26 ft long leans against a vertical wall. If the top slides d...

    Text Solution

    |

  12. A balloon leaves the ground 50 ft from an obsever, If it rises vertica...

    Text Solution

    |

  13. A light is placed on the groung at a distance of 30 ft from a house. A...

    Text Solution

    |

  14. A kite is 160 ft high and there are 200 ft of string out. If the wind ...

    Text Solution

    |

  15. Water is pumped out at a constant rate of 88 m^(3)/min from a conical ...

    Text Solution

    |

  16. A circular ink-blot grows at the rate of 2 cm^(2)/s. find the rate at ...

    Text Solution

    |

  17. Two roads AB and BC intersect at B, where angleABC = 60^(@) and bar(AB...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. An aeroplane is flying horizontally at a height (2)/(3) km above the g...

    Text Solution

    |