If f (x) = 3x² + 15x + 5, then find the approximate value of f (3.02) is

• 47.66

• 57.66

• 67.66

• 67.66

Find the approximate change in the volume V of a cube of side v 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%.

If the radius of a sphere is measured as 9 cm with an error of 0.03 cm, then find the approximate error in calculating its volume.

If the radius of a sphere is measured as 7 m with an error of 0.02 m, then find the approximate error in calculating its volume.

If the radius of a sphere is measured as 9 m with an error of 0.03 m. then find the approximate error in calculating its surface area.

398.

A circular disc of radius 3 cm is being heated. Due to expanison, its radius increases at the rate of 0.05 cm/s.  Find the rate at which its area is increasing when radius is 3.2 cm.

• 0.06 x³ m³

• 0.6 x³ m³
• 0.09 x³ m³
• 0.09 x³ m³

If the sum of the lengths of hypotenuse and a side of a right angled triangle is given, show that the area is maximum when the angle between them is 60°.