4. Complex Numbers and Functions [25 points] a. Compute the magnitude and phase of the following complex numbers and write them as phasors in in both "polar form" (re) and "angle

form" (r<0). Use radians for the phase in polar form (between - and π) and degrees for the phase in angle form (between -180° and 180°). i. S₁ =j8 ii. S₂ = -3-j4 b. Compute the sum of the two complex numbers from part (a) in rectangular form. c. Compute the multiplication of the two complex numbers from part (a) in polar form with phase in radians. d. Write the following complex numbers in rectangular form and then plot them on the complex plane as a phasor diagram, indicating the real component, imaginary component, magnitude, and phase angle in radians (measured counter-clockwise from the positive real axis) for each. i. $3 = 5e/x ii. S₂ = 4e- e. Consider the complex function G(s) = s+1 s²+25+1 . Calculate G(1+j3) in rectangular form.