PUC Science 2nd PUC Class 12 - Karnataka Board PUC Question Bank Solutions for Mathematics

Using differential, find the approximate value of the \[\sqrt{49 . 5}\] ?

Using differential, find the approximate value of the \[\left( 3 . 968 \right)^\frac{3}{2}\] ?

Using differential, find the approximate value of the \[\left( 1 . 999 \right)^5\] ?

Using differential, find the approximate value of the  \[\sqrt{0 . 082}\] ?

Using differential, find the approximate value of the \[{25}^\frac{1}{3}\] ?

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

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