Science (English Medium) Class 12 - CBSE Question Bank Solutions for Mathematics

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 0.02 m, find the approximate error in calculating its volume ?

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

If y = log_e x, then find ∆y when x = 3 and ∆x = 0.03 ?

A piece of ice is in the form of a cube melts so that the percentage error in the edge of cube is a, then find the percentage error in its volume ?

If there is an error of 2% in measuring the length of a simple pendulum, then percentage error in its period is

If there is an error of a% in measuring the edge of a cube, then percentage error in its surface is

If an error of k% is made in measuring the radius of a sphere, then percentage error in its volume is

The height of a cylinder is equal to the radius. If an error of α % is made in the height, then percentage error in its volume is

While measuring the side of an equilateral triangle an error of k % is made, the percentage error in its area is

If log_e 4 = 1.3868, then log_e 4.01 =

A sphere of radius 100 mm shrinks to radius 98 mm, then the approximate decrease in its volume is

If the ratio of base radius and height of a cone is 1 : 2 and percentage error in radius is λ %, then the error in its volume is

The pressure P and volume V of a gas are connected by the relation PV^1/4 = constant. The percentage increase in the pressure corresponding to a deminition of 1/2 % in the volume is

If y = xⁿ  then the ratio of relative errors in y and x is

The approximate value of (33)^1/5 is

The circumference of a circle is measured as 28 cm with an error of 0.01 cm. The percentage error in the area is