If I (s) , the final value of i(t) is

Power of two correlated signal is P = P₁ + P₂ +2R₁, ₂(t).

Sampling frequency must be more than 2f. Therefore .

It is a pulse lasting for t = a.

By applying time shifting and scaling property.

I_C = V(j?C).

Because no.of zero is more than Pole, therefore when you find transfer function.

Numerator power will higher than denominator, and such transfer functions is not realizable.

A linear system is one in which the relationship between input and output is linear.

All linear system possess the property of superposition i.e., if input u₁ gives output y₁ and input u₂ gives output y₂ then input u₁ + u₂ will give output y₁ + y₂.

Superposition implies homogencity i.e., if input u gives output y, then input ku gives output ky where k is a rational number.

In general a system is linear if a transformation T satisfies the relation

T(au₁ + ?u₂) = aT(u₁) + ?T(u₂)

where a and ? are constant.