Assume for this question that each month has 30 days and that over the course of one year the number of hours of daylight per day in Seattle is a sinusoidal function of time. Suppose also that Seattle gets a maximum of 16 hours of daylight/day on June 21 and a minimum of 8 hours of daylight/day on December 21. (a) Define a function that expresses the number of daylight hours/day in terms of time (See the Homeurok Checklist for the proper way to define a function). Then draw (by hand) a graph of the function over the course of one year. (b) Use the graph from part (a) to find an expression your function. State an appropriate domain that models one year. Explain your reasoning. (c) Set up and evaluate a definite integral that approximates the total number of daylight hours in Seattle over the course of the summer. Explain.