The length of a rectangle is decreasing ...

The length of a rectangle is decreasing at the rate of 5 cm/mi and the width is increasing at the rate of 4cm/min.When length is 8 cm and width is 6 cm, find the rate of change of its area.

Topper's Solved these Questions

APPLICATION OF INTEGRALS
A N EXCEL PUBLICATION|Exercise QUESTION BANK|47 Videos

Similar Questions

Explore conceptually related problems

The length x of a rectangle is decreasing at the rate of 3 cm/minute and the width y is increasing at the rate if 2 cm/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.

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 2 cm/ 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.

The length 'x' of a rectangle is decreasing at the rate of 2cm//s and the width 'y' is increasing at the rate of 2cm//s . Find the rate of change of perimeter.

The length 'x' of a rectangle is decreasing at the rate of 2cm//s and the width 'y' is increasing at the rate of 2cm//s . Find (dA)/(dt) when x=12 cm and y = 5 cm.

The radius of a cylinder is increasing at the rate of 5 cm/min so that its volume is constant. When its radius is 5 cm and height is 3 cm, then the rate of decreasing of its height is a)6 cm/min b)3 cm/min c)2cm/min d)5 cm/min

The volume of a cube is increasing at the rate of 5 cm^3 /s. How fast is the surface area increasing when the length of an edge is 5sm?

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

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

A N EXCEL PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK

A stone is dropped into a quiet lake and waves move in circle at the ...
Text Solution
|
The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...
Text Solution
|
The length of a rectangle is decreasing at the rate of 5 cm/mi and the...
Text Solution
|
Suppose that a spherical balloon is inflated and it has volume 'v' and...
Text Solution
|
A balloon, which always remains spherical has a variable radius. Find ...
Text Solution
|
A ladder 5m long is leaning against a wall. The bottom of the ladder i...
Text Solution
|
A particle moves along the curve 6y=x^3+2 Find the points on the curve...
Text Solution
|
The radius of an air bubble is increasing at the rate of 1/2cm//s. A...
Text Solution
|
A balloon, which always remains spherical, has a variable diameter 3/2...
Text Solution
|
Sand is pouring from a pipe. The falling sand forms a Cone on the grou...
Text Solution
|
The total cost C (x) in Rupees, associated with the production of x un...
Text Solution
|
The total revenue is Rupees received from the sale of x units of a pro...
Text Solution
|
Choose the correct answer The rate of change of the area of a circle w...
Text Solution
|
Choose the correct answer The total revenue in Rupees received from th...
Text Solution
|
Find the intervals in which the function f(x)=4x^3-6x^2-72x+30 is stri...
Text Solution
|
Find the intervals in which the function f(x)=4x^3-6x^2-72x+30 is stri...
Text Solution
|
Show that the function given by f(x)=3x+17 is strictly increasing on R...
Text Solution
|
Show that the function given by f(x)=e^(2x) is strictly increasing on...
Text Solution
|
Show that the function given by f(x)=sinx is strictly increasing on (0...
Text Solution
|
Show that the function given by f(x)=sinx is strictly decreasing on (p...
Text Solution
|