Circuit Plotting

How would I plot a graph for the following RLC circuit which shows the magnitude of Z (the input impedance) as a function of frequency from 10Hz to 10KHz? See attached file for full problem description.

RL Circuit

In the following circuit (see attachment), assume that the switch has been open for a long time, and that it closes at time = 0 seconds. The switch remains closed thereafter. How do I solve for Vx(t) and Ix(t) as shown?

Resistance

How would I find the equivalent resistance R_ab of the following circuit?

gates

The outputs of two "NAND" gates are connected to the inputs of an "EXCLUSIVE OR" gate. Each of "NAND" gates has one input at logic high level, and the other input at a logic low level. How do I find the output of the "EXCLUSIVE OR" gate?

Circuit Analysis

How do I fin Ix and Iy in the following circuit?

Circuit analysis

In the following circuit how do I find the amount of curret flowing through the 1kohm resistor in parallel with the current source?

RC series circuit

An RC eries circuit has a voltage source of 10Vac, a resistor of 10ohms, and a capacitor with an impedance of -j10ohms. How do I find the magnitude and phase angle of the current flow through the capacitor?

Transformers

A 4:1 step-down transformer uses a 60Vac source on the primary windings. There is 120mA flowing through the load resistance on the secondary windings. How do I find the resistive load?

Op-amp and RC circuit analysis

For the following circuit (see attachment), how do I find the Laplace transform of the transfer function V0(s)/V1(s)? Would this be considered a low or high pass filter?

Transfer Function

Find the transfer function IL/Vs for the following circuit in the attached file.