The length x of a rectangle is decreasin...

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

Text Solution

Verified by Experts

The correct Answer is:

` -2 `cm / min

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
NCERT GUJARATI|Exercise EXERCISE 6.2|23 Videos
APPLICATION OF DERIVATIVES
NCERT GUJARATI|Exercise EXERCISE 6.3|31 Videos
APPLICATION OF DERIVATIVES
NCERT GUJARATI|Exercise EXERCISE 6.6|24 Videos
APPLICATION OF INTEGRALS
NCERT GUJARATI|Exercise Miscellaneous Exercise|19 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 = 8 cm and y = 6 cm, find the rates of change of (a) the [erimeter, and (b) the area of the rectangle.

The radius of the cone is increasing at the rate of 4 cm/se. Its height is decreasing at the rate of 3 cm/se. When its radius is 3 cm and height is 4 cm. Find the rate of change of its curved surface area.

The area of a triangle is increasing at the rate of 4 cm^(2)//s . Its altitude is increasing at the rate of 2 cm/s. When the length of its altitude is 20 cm and its area is 30 cm^(2) , find the rate of change of its base.

The side of a square is increasing at the rate of 0.2 cm/s. The rate of increase of perimeter w.r.t time is :

The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference ?

The side of a square is increasing at ther rate of 0.2 cm//s . The rate of increase of perimeter w.r.t. time is :

An edge of a variable cube is increasing at the rate of 10 cm/s. How fast the volume of the cube is increasing when the edge is 5 cm long?

The diagonal of a suare is increasing at the rate of 0.5 cm/sec. when the area of a square is 400 cm^(2) , the area is increasing at the rate of ………….

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 ?

NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.1

Find the rate of change of the area of a circle with respect to its ra...
Text Solution
|
The volume of a cube is increasing at the rate of 8 c m^3//s. How fast...
Text Solution
|
The radius of a circle is increasing uniformly at the rate of 3 cm/...
Text Solution
|
An edge of a variable cube is increasing at the rate of 3 cm//s. How f...
Text Solution
|
A stone is dropped into a quiet lake and waves move in circles at the ...
Text Solution
|
6. The radius of a circle is increasing at the rate of 0.7 cm/s. What ...
Text Solution
|
The length x of a rectangle is decreasing at the rate of 5 cm/minut...
Text Solution
|
A balloon, which always remains spherical on inflation, is being in...
Text Solution
|
A balloon, which always remains spherical, has a variable radius. F...
Text Solution
|
A ladder 5 m long is leaning against a wall. The bottom of the ladd...
Text Solution
|
A particle moves along the curve 6y = x^(3)+2. Find the points on th...
Text Solution
|
The radius of an air bubble is increasing at the rate of 1/2c m//s. A...
Text Solution
|
A balloon, which always remains spherical, has a variable diameter 3/...
Text Solution
|
Sand is pouring from a pipe at the rate of12\ c m^3//s . The falling s...
Text Solution
|
The total cost C (x) in Rupees associated with the production of x un...
Text Solution
|
The total revenue in Rupees received from the sale of x units of a pr...
Text Solution
|
The rate of change of the area of a circle with respect to its radius ...
Text Solution
|
The total revenue in Rupees received from the sale of x units of a pr...
Text Solution
|