Eet 3086c circuit analysis - determine the numerical value

Question

Problem # 1: Determine the numerical value for each current and voltage. Do not use Mesh or Node analysis.

Problem # 2: Find I₁, I₂ and voltage across 4I₁ source in the following circuit. Do not use Mesh Analysis. choose bottom node as your ground or zero-reference, if required.

Problem # 3: use mesh current method to find power delivered by the dependent source.

Problem # 4: Find Norton equivalent of the following circuit between nodes a and b

Problem # 5: what value of variable resistor will receive the maximum power from the circuit? what will be the value of this power? Note that i_x is the current in the 10Ω resistor (from left to right)