(A){:[R&c" are in parralle "=(R xx(1)/(j omega c))/(R+(1)/(j omega c))],[=(R)/(1+j omega RC)]:}apply KCL at A.{:[ubrace(v_(in)-0)_(R_(1))=(0-V_("out "))/(R//1+j omega RC)],[[(-R)/(R_(1)(1+j omegaR_(c)))=(v_("out "))/(v_("in "))=" Gain "]],[|G_("amm ")|=(1k Omegaquad" as "v_(in)=30 sin 50 t,omega=50)/(100 k Omega[1+j 50 xx1knxx200mf])],[∣" Gain| "=|(1)/(100[1+j ... See the full answer