Consider the square region $R$ in the $X-Y$ plane as shown with the dark shading in the Figure. The value of $\iint_R\left(x^2+y^2-1\right) d x d y$ is $\_\_\_\_$ .

(rounded off to two decimal places)

The address of the first location of a 256 kilo byte $(\mathrm{KB})$ memory is $(2500)_{\mathrm{H}}$. Choose the correct address of the last location of the memory.

The relation between the input current $(I)$ and the output voltage $(V)$ of a circuit is governed by the equation: $C \frac{d V}{d t}=I(t)-m(t)$. The circuit is excited by $I(t)=q \delta(t)$, where $q$ is a real valued constant. V at $t=0^{-}$is $V_0$.

Which of the following is an equivalent representation of the above case?

The output voltage $V_o$ (in Volt) for the network given in the Figure is $\_\_\_\_$ . (rounded off to two decimal places)