Arts (English Medium) कक्षा १२ - CBSE Question Bank Solutions

Using differentials, find the approximate value of the following up to 3 places of decimal

`(26)^(1/3)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(255)^(1/4)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(82)^(1/4)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(401)^(1/2)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(0.0037)^(1/2)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(26.57)^(1/3)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(81.5)^(1/4)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(3.968)^(3/2)`

Using differentials, find the approximate value of the following up to 3 places of decimal

`(32.15)^(1/5)`

Find the approximate value of f (5.001), where f (x) = x³ − 7x² + 15.

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

If the radius of a sphere is measured as 7 m with an error of 0.02m, 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 in surface area

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

A. 47.66

B. 57.66

C. 67.66

D. 77.66

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

A. 0.06 x³ m³ 

B. 0.6 x³ m³

C. 0.09 x³ m³

D. 0.9 x³ m³

Using differentials, find the approximate value of each of the following.

`(17/81)^(1/4)`

Using differentials, find the approximate value of each of the following.

`(33)^(1/5)`

Show that the function given by `f(x) = (log x)/x` has maximum at x = e.