If $h(x) = f(x) + f(-x)$,then at the point where $h(x)$ attains an extremum,$f'(x) - f'(-x)$ is equal to:

The minimum value of $4e^{2x} + 9e^{-2x}$ is:

Consider a square of side $2 \ cm$. It is cut from one of its corners as shown in the adjacent figure. The maximum value of the sum of the perimeters of the two plane figures thus formed is

$A$ stone thrown upwards has its equation of motion $s = 490t - 4.9t^2$. Then the maximum height reached by it is:

Let $f(x) = 1 - \sqrt{x^2}$, where the square root is to be taken as positive. Then:

Find the maximum and minimum values of $x+\sin 2x$ on $[0, 2\pi]$.