Could I please have the worked solution for the following question:

a) The transfer function of a linear time-invariant (LTI) causal digital system is given by: H(z)=z+0.6z Find the impulse response and write down the difference equation of the system. b) Using Fourier transform method, design a low-pass filter, h[n] up to n=7, to transmit frequency components between =/3 with unity gain and to cut-off components completely. c) Design a high-pass filter h[n] up to n=5. Its frequency requires: H()={10/2