The voltage V , in volts, produced by an ac generator at time t seconds, is given by: V (t) = 120 sin(120πt) (a) Find the amplitude and the period of the function V (t). (b) Sketch a graph of V over two periods, beginning at t = 0. (c) If a resistance of R = 20 ohms is present, find a formula for the current, I(t). (Use Ohm's Law, V = IR.) (d) What is the amplitude and period of the function I(t)? (e) Sketch a graph of I over two periods, beginning at t = 0. Include this with the graph in part (b), showing the two graphs together on the same set of axes.