If the rate of change of the side of a s...

If the rate of change of the side of a square is 0.05 cm/sec, then the rate of change in the area of the square when the side is 10cm is

A

0.5 sq.cm/sec

B

1 sq.cm/sec

C

5 sq.cm/sec

D

10 sq.cm/sec

Text Solution

Verified by Experts

The correct Answer is:

B

Promotional Banner

Promotional Banner

Topper's Solved these Questions

APPLICATIONS OF DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos
APPLICATIONS OF DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1E (MAXIMA AND MINIMA)|221 Videos
APPLICATIONS OF DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (TANGENT AND NORMAL)|205 Videos
ADDITION OF VECTORS
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
BINOMIAL THEOREM
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If the rate of change in the radius of a circle is 0.02 cm/sec, then the rate of change in the area of the circle when the radius is 5 cm is

If the rate of change in the area of a circle is pi sq.cm/sec, then the rate of change in the radius of the circle when the radius is 10 cm is

If the rate of change in the radius of a circle is 0.5 sq.cm/sec, then the rate of change in the perimeter of the cirlce is

Find the area of square if the side is 28cm.

If the rate of change in the area of a circle is it pi sq. cm/sec, then find the rate of change in the radius of the circle when the radius is 10cm.

If the rate of change in the perimeter of a square is K times the rate of change in its side then k =

Side of a square is 7 cm then its area is__

The side of an equilateral triangle increases at the uniform rate of 0.05 cm/sec. The rate of increase in the area of the triangle when the side is 20 cm is

Find thee area of squares with the given sides - 52cm

Find thee area of squares with the given sides - 8 cm

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)

If the rate of change of area of a circle is equal to tha rate of chan...
Text Solution
|
The side of a square increases at therate of 1 cm per second. The rate...
Text Solution
|
If the rate of change of the side of a square is 0.05 cm/sec, then the...
Text Solution
|
the side of a square is equal to the diameter of a circle. Ifthe side ...
Text Solution
|
Two parallel sides of a rectangle are being lengthened at the rate of ...
Text Solution
|
A rectangular vessel is of 2 mt long, 0.5 mt breadth and 1 mt deep. If...
Text Solution
|
Each side of an equilateral triangle expands at the rate of 2 cm/sec. ...
Text Solution
|
The side of an equilateral triangle increases at the uniform rate of 0...
Text Solution
|
At a given instant the legs of a right angled triangle are 8 inch and ...
Text Solution
|
A variable triangle ABC is inscribed in a circle of diameter x units. ...
Text Solution
|
A spherical balloon is filled with 4500pi cubic meters of helium gas. ...
Text Solution
|
Gas is leaking out of a spherical balloon at the rate of 1800 cubic cm...
Text Solution
|
The volume of a metal hollow sphere is constant. If the outer radius i...
Text Solution
|
The side of a cube is equal to the diameter of a sphere. If the side a...
Text Solution
|
The side of a cube is equal to the radius of a shpere. If the side and...
Text Solution
|
If the rates of increase of side of a cube and radius of a sphere are ...
Text Solution
|
The bas radius of a cylindrical vessel full of oil is 30 cm. Oil is dr...
Text Solution
|
Oil is being filled in a cylindrical tank of diameter 12 mt. The rate ...
Text Solution
|
Water is flowing into cylindrical tank of radius 7 ft in the rate of 2...
Text Solution
|
The diameter and altitude of a right circular cylinder are found at a ...
Text Solution
|