Taylor series expansion of $$f\left( x \right) = \int\limits_0^x {{e^{ - \left( {{{{t^2}} \over 2}} \right)}}} dt$$ around 𝑥 = 0 has the form

f(x) = $${a_0} + {a_1}x + {a_2}{x^2} + ...$$

The coefficient $${a_2}$$ (correct to two decimal places) is equal to _______.

Consider the network shown below with R₁ = 1 $$\Omega $$, R₂ = 2 $$\Omega $$ and R₃ = 3 $$\Omega $$. The network is connected to a constant voltage source of 11 V.

The magnitude of the current (in amperes, accurate to two decimal places) through the source is _______.

The ABCD matrix for a two-port network is defined by :

$$\left[ {\matrix{ {{V_1}} \cr {{I_1}} \cr } } \right] = \left[ {\matrix{ A & B \cr C & D \cr } } \right]\left[ {\matrix{ {{V_2}} \cr { - {I_2}} \cr } } \right]$$

The parameter B for the given two-port network (in ohms, correct to two decimal places) is _______.

For the circuit given in the figure, the magnitude of the loop current (in amperes, correct to three decimal places) 0.5 second after closing the switch is _______.