Consider the following sets of values: R = 100 Ω, L = 0.4 H, and C = 0.5 µF. R = 100 Ω, L = 0.4 H, and C = 10 µF. R = 100 Ω, L = 0.4 H, and C = 200 µF. Assume the elements are attached in parallel. For each set of values, answer the following: (a) Is the circuit overdamped, underdamped, or critically damped? (b) What are the roots of the characteristic polynomial? Now assume the elements are attached in series. For each set of values, answer the following: (c) Is the circuit overdamped, underdamped, or critically damped? (d) What are the roots of the characteristic polynomial?