The voltage V in volts of AC outlet is modelled by the formula V = 240sin(100t), where t is in seconds. (a) What is the period of the voltage? (b) What are the units of the 100 in the formula? (c) In the US, the maximum voltage is 120 volts, and it cycles at 60 cycles per second. What would the formula be for V in the US? (d) What is the first positive time at which the voltage is a maximum? (e) How fast is the voltage changing at t = 0? What are the units?