Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 2%.

Find the approximate change in the volume V of a cube of side x metres caused by increasing the side by 1%.

Find the approximate change in the volume V of a cube of side x meters caused by increasing side by 1%dot

The approximate change in the volume of a cube of side x metres caused by increasing the side by 3% is

Find the approximate change in the surface area of a cube of side x metres caused by decreasing the side by 1%.

If gamma be the increase in volume of the cube of unit volume and beta be the increase in area of each surface of the cube, show that 2gamma =3beta .

An edge of a variable cube is increasing at the rate of 2 cm//s . When the edge of a cube is 8 cm long, then its volume will increase at the rate of-

Column I, Column II A circular plate is expanded by heat from radius 6 cm to 6.06 cm. Approximate increase in the area is, p. 5 If an edge of a cube increases by 2%, then the percentage increase in the volume is, q. 0.72 pi If the rate of decrease of (x^2)/2-2x+5 is thrice the rate of decrease of x , then x is equal to (rate of decrease in nonzero)., r. 6 The rate of increase in the area of an equailateral triangle of side 30c m , when each side increases at the rate of 0. 1c m//s , is, s. (3sqrt(3))/2

Using the method of differential find approximately the difference between the valumes of two cubes of sides 4 cm and 4.05 cm,