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

The length x of a rectangle is decreasing at the rate of 3 cm/minute and the width y is increasing at the rate of 2cm/minute. When `x =10`cm and `y = 6`cm, find the rates of change of (a) the perimeter and (b) the area of the rectangle.

Text Solution

Verified by Experts

The correct Answer is:
`2cm^(2)//m`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Frequently Asked Questions|44 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Questions From NCERT Exemplar|7 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 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 a rectangle is decreasing at the rate of 5cm/minute and the width y is increasing at the rate of 4cm/minute. When x=8cm and y=6, find the rate of change of (a) the perimeter,(b) the area of the rectangle.

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

The length of a rectangle is decreasing at the rate of 5 cm/minute and the width is increasing at the rate of 4cm/minute. When lenght is 3 cm and width is 2 cm , find the rates of change of the perimeter and the area of the rectangle.

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

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

The length x of a rectangle is increasing at the rate of 3 cm/sec. and the width y is increasing at the rate of 2 cm/sec. If x=10 cm and y=6 cm, then the rate of change of its area is

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