Note: Please check your code that it runs properly. We will not debug your code. Please put appropriate comments, use plot, and other functions to show your outputs. Question \# 1: According to the linearity property T{x1[n]+x2[n]}=T{x1[n]}+T{x2[n]}=y1[n]+y2[n] Where T represents Transformation represented by system impulse response. Consider the impulse response of an LTI system is given as h[n]=3(1/4)nu[n]1n20 (a) Plot the impulse response using stem. (b) Calculate the output of this system for following inputs; 1. x1[n]=u[n5]1n10 2. x2[n]=(1/3)nu[n]1n5 3. x3[n]=cos(pn/4)1n20 Use 'conv' function to convolve x[n] with h[n]. Plot the inputs and outputs of the LTI system using stem. (c) Add the three inputs i.e. (x1+x2+x3) and convolve the accumulated value h[n]. Plot the result. (d) Calculate y1,y2 and y3 by applying x1,x2 and x3 to the system separately. the outputs and plot the accumulated value. (e) Compare the results of part (c) and (d). Are these results similar? Comment. (Type "help conv" at MATLAB command prompt to know more about the convolu function.)