1. The problem statement, all variables and given/known data 2. Relevant equations ##a + bi## complex notation Rules of resistors given in part b b = imaginary part 3. The attempt at a solution For part (a) how do I rewrite I(t) as a + bi? For part (b) I need a formula that equates Z to R. For part (c) do I simply write b (from part a)? For part (d) what does the tilde on V = IZ mean? Is the I complex? For part (e) how can I find a real voltage if I've only been working with imaginary ones? For part (f) I would naturally take the derivative of I, set it equal to zero to find a maximum? I know that if |V| = constant C, then V = +C and V = -C. How does this apply to the problem? My teacher said that this is an applied math course (mathematical physics) but that we don't have to know physics, just be able to solve math. Additionally, I hope I am not breaking the policy of not asking more than one question, (this question has 6 parts). Thank you.