Home
Class 12
MATHS
IF length of x reactangle is decreasi...

IF length of x reactangle is decreasing at the rate of 3 cm / minute and the width is increasing at the rate of 2 cm / minute , when x=10 cm and y=6 cm . Find the rate of change of
I. The perimeter
II. The area of the reactange

Text Solution

Verified by Experts

The correct Answer is:
`=-2` cm/min
Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAM QUESTION PAPER MARCH - 2016

    SUNSTAR PUBLICATION|Exercise PART - E (Answer any one questions)|8 Videos
  • ANNUAL EXAM QUESTION PAPER MARCH - 2016

    SUNSTAR PUBLICATION|Exercise PART - C (Answer any ten questions)|28 Videos
  • ANNUAL EXAM QUESTION PAPER MARCH -2014

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

Similar Questions

Explore conceptually related problems

The length x of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 cm/minute. When x = 8cm and y = 6cm, find the rates of change of (a) the perimeter, and (b) the area of the rectangle.

The length x of rectangle is decreasing at the rate of 5cm/minute and width y is increasing at the rate of 4 cm/minute. When x=8 cm and y=6 cm, find the rate of change of (i) the perimeter and (ii) the Area of the rectangle.

The length x of a rectangle is decreasing at the rate of 3 cm/min and the width y is increasing at the rate of 2cm/min. When x=10cm and y=6cm, find the ration of change (i) the perimeter and (ii) the area of the reactangle.

An edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the increasing when the edge is 10 cm long?

The rate of change of the surface area of a sphere of radius r when the radius is increasing at the rate of 2cm/sec is proportional to

The side of an equilateral triangle are increasing at the rate of 2 cm/sec. The rate at which its area is increasing, when the side is 14 cm

The side if an equilateral triangle are increasing at the rate of 4 cm/sec. the rate at which its areais increasing, when the side is 14 cm.

SUNSTAR PUBLICATION-ANNUAL EXAM QUESTION PAPER MARCH - 2016-PART - D (Answer any six questions)
  1. IF length of x reactangle is decreasing at the rate of 3 cm / ...

    Text Solution

    |

  2. If y= ( sin^(-1) x)^(2) , show that (1-x^(2) ) (d^2 y)/( dx^2) - x (dy...

    Text Solution

    |

  3. Find the integral of (1)/(x^(2) + a^(2)) w.r.t.x and hence evaluate in...

    Text Solution

    |

  4. Using integration find the area of the region bounded by the triangle ...

    Text Solution

    |

  5. Derive the equation of a plane perpendicular to a given vector and pas...

    Text Solution

    |

  6. Choose the correct answer: The probability that a student is not a s...

    Text Solution

    |

  7. The probability that a student is not a swimmer is (1)/(5). Find the p...

    Text Solution

    |

  8. Solve the differential equation y dx + ( x-y"e^(y) ) dy = 0

    Text Solution

    |

  9. If A = [{:(-2),(4),(5):}] and B = [1, 3-6], verify that (AB)^(1) = B...

    Text Solution

    |

  10. Solve the system of linear equations by matrix method : 2x-3y + 5z = 1...

    Text Solution

    |

  11. Let f: N to R be defined by f(x) = 4x^(2) + 12x+ 15. Show that f: N to...

    Text Solution

    |

  12. IF length of x reactangle is decreasing at the rate of 3 cm / ...

    Text Solution

    |

  13. IF length of x reactangle is decreasing at the rate of 3 cm / ...

    Text Solution

    |

  14. If y= ( sin^(-1) x)^(2) , show that (1-x^(2) ) (d^2 y)/( dx^2) - x (dy...

    Text Solution

    |

  15. Find the integral of (1)/(x^(2) + a^(2)) w.r.t.x and hence evaluate in...

    Text Solution

    |

  16. Using integration find the area of the region bounded by the triangle ...

    Text Solution

    |

  17. Derive the equation of a plane perpendicular to a given vector and pas...

    Text Solution

    |

  18. The probability that a student is not a swimmer is (1)/(5). Find the p...

    Text Solution

    |

  19. The probability that a student is not a swimmer is (1)/(5). Find the p...

    Text Solution

    |

  20. Solve the differential equation y dx + ( x-y"e^(y) ) dy = 0

    Text Solution

    |