Home
Class 12
MATHS
The length x of a rectangle is decreasin...

The length x of a rectangle is decreasing at the rate of 5 cm`//`minute & the width y is increasing at the rate of 4cm/minute. When x=8 cm & y=6 cm. Find the rate of change of
i. The perimeter and
ii. The area of rectangle

Text Solution

Verified by Experts

The correct Answer is:
(i)`-2`cm/min
Promotional Banner

Topper's Solved these Questions

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY -2014

    SUNSTAR PUBLICATION|Exercise PART -E|4 Videos
  • SUPPLEMENTARY EXAM QUESTION PAPER JULY -2014

    SUNSTAR PUBLICATION|Exercise PART-B|14 Videos
  • SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2016

    SUNSTAR PUBLICATION|Exercise PART - E|2 Videos
  • SUPPLEMENTARY EXAM QUESTION PAPER JULY- 2015

    SUNSTAR PUBLICATION|Exercise PART - E (Answer any one question).|4 Videos

Similar Questions

Explore conceptually related problems

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 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.

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

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.

The radius of a cylinder is increasing at the rate of 3 m/sec and its attitude is decreasing at the rate of 4m/sec. The rate of change of volume when radius is 4 metres and attitude is 6 metres is

The volume of a cube is increasing at the rate of 8 cm^(3)//s . How fast is the surface area increasing when the length of an edge is 12 cm?

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-SUPPLEMENTARY EXAM QUESTION PAPER JULY -2014-PART-C
  1. For any square matrix A with real numbers. Prove that A+A^(1) is a s...

    Text Solution

    |

  2. If x=a(theta-sintheta) and y= a (1+costheta) then prove that (dy)/(dx)...

    Text Solution

    |

  3. Verify Mean value theorem, if f(x)= x^(2)-4x-3 in the interval [a,b] w...

    Text Solution

    |

  4. Find two positive numbers x and y such that x + y = 60 and xy^(3) is m...

    Text Solution

    |

  5. Evaluate : intsin3x cos 4xdx

    Text Solution

    |

  6. Evaluate intx^(2)e^(x)dx

    Text Solution

    |

  7. Determine the area of the region bounded by y^(2)=x and the line x=1, ...

    Text Solution

    |

  8. Form the differential equation of the family of circles having centre...

    Text Solution

    |

  9. If two vectors veca and vecb such that |veca|=2|vecb|=3 and veca.vecb=...

    Text Solution

    |

  10. Find a unit vector perpendicular to each of the vectors ( veca +...

    Text Solution

    |

  11. Find the shortest distance betweeen the line l(1) and l(2) whose vecto...

    Text Solution

    |

  12. A Bag I contain 3 red and 4 black balls. White bag II contains 5 red 6...

    Text Solution

    |

  13. If A=[(1,2,3),(3,-2,1),(4,2,1)] then show that A^3-23A -40 I=0.

    Text Solution

    |

  14. If y=3 cos(log x)+4sin(logx) show that x^(2)y(2)+xy(1)+y=0

    Text Solution

    |

  15. The length x of a rectangle is decreasing at the rate of 5 cm//minute ...

    Text Solution

    |

  16. Find the integral of (1)/(sqrt(x^(2)+a^(2))) with respect to x and hen...

    Text Solution

    |

  17. Find the area of the region enclosed between the circles x^(2)+y^(2)=4...

    Text Solution

    |

  18. Let y(x) be the solution of the differential equaiton : (x log x ) (...

    Text Solution

    |

  19. Derive the equation of the line in space passing through a point and p...

    Text Solution

    |

  20. If a fair coin is tossed 6 times. Find the probability of (i) at least...

    Text Solution

    |