(a) Write down the expression for a continuous time signal x(t) which is composed of two sinusoids. The first sinusoid has a frequency of 10Hz and the second sinusoid has a frequency of 20Hz. The amplitude of the first sinusoid is 1V and the amplitude of the second sinusoid is 2V. (i) Sample the signal you have synthesized, x(t). Illustrate the magnitude spectrum of your sampled signal, x[n], in a case where aliasing does not occur and in a case where aliasing does occur. Justify the why aliasing does not occur in the first case and why it does occur in the second case. (ii) Suggest a sampling rate F, which ensures that aliasing does not occur when x(t) is sampled