RUN # VI Use Matlab to evaluate the following limits: lim, .o [sin(x)] im, .. Icos(x)] sin(x) limo x-27 3x2 4x23 lim,-+ 2 RUN # VII Verify the results obtained in RUN # VI, by hand computations. RUN # VIII Analyze the electrical network shown below. (a) Use Matlab to obtain a plot of i(t) vs. ,, over- , 3 . (b) From part (a) determine the values for i()/or 1-0, 1 = / 2, 1 = , and 1 =- / 2 (c) Check by hand the results of part (b) (d)Use Matlab to evaluate the RMS value of i (e) Determine expressions for the voltage drops across each element of the electrical system shown below, assuming that x)(input is a current and y) (output) is a voltage (f Use Matlab to obtain expressions for part (e). (g) Use Mat lab to obtain time plots of : i(t) ,vr(), Vc(t), v,(), over- , 3 (h) Use Matlab to evaluate the instantaneous power deliver by i) in watts, over the domain (i) Use Matlab to obtain a time plot of part (h) (j) Use Matlab to evaluate the energy of part (h) in Joules, over- , 3