1. (80 points) Demonstrate and Explain: Clearly and thoroughly explain your answers these questions based on the work you did with your group on labs this week. These questions refer to Lab 6A. You can find the data at https://www. timeanddate. com/ sun/usa/san-francisco. . (Part 1d. & e.) Create a sine OR a cosine function to model the number of daylight hours for San Francisco across the year. S(x) = a sin(b(x - c)) + dor C(x) = a cos(b(x - c)) + d Include a well-labeled and scaled graph of your function and describe how the values for the parameters, a, b, c, and d are related to the situation. . (Part 3) On which day, d, is the number of minutes of daylight increasing most quickly in San Francisco? Explain how you can see this on the graph of your model. What is S'(d) (or C'(d) if you chose the cosine model)? What does this value mean? . (Part 2a.) The function Z (x) = 195 (cos (27 ( (365 (2 - 355) ) ) + 731 is a model for the number of hours of daylight in Christchurch, New Zealand. How is the function Z(x) different from the model for San Francisco, S(x)? What explains this difference? . Find the values for Z(172) and Z'(172), rounded the nearest 0.1 and explain what they each mean in the context of minutes of daylight in New Zealand