Question 1 10 pts Suppose the function y = 8.5 sin(0.023x - 1.35) + 12 models the hours of sunlight for a town in Canada, where t = 1 is the first day the year. Based on the function, what is the approximate range of the daylight hours for the town? O 4.5 to 20.5 O 4 to 20 O 3.5 to 20.5 O 3 to 20A Ferris wheel is designed in such a way that the height {h}, in feet+ of the seat shove the ground at any.r time, t, is modeled by the function y = 65 3t] oos(%s: + 2s). What is the maximum height a seat reaches? (330 G E55 {it 95 DEED Question 3 10 pts When is it better to use the sine function and when is it better to use the cosine function when modeling sinusoidal behavior? O Cosine is better when the minimum is on the y-axis and sine is better if the midline is at the origin. O Cosine is better when the maximum is on the y-axis and sine is better if the midline is at the origin. O Sine is better when the maximum is on the y-axis and cosine is better if the midline is at the origin. O Sine is better when the minimum is on the y-axis and cosine is better if the midline is at the origin.Use the following information for questions 5-7 A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days). Assume that the number of hours of daylight varies sinusoidal over a period of twelve months. Sketch the graph then use this data to find the following:Question 5 10 pts Sketch a graph to model the hours of daylight. Upload Choose a FileQuestion 6 10 pts Use the data above to find the following: Amplitude [ Choose ] 8 4 Vertical Shift y = 2sin(pi/2 x ) + 12 12 months pi/6 b value 10 2 y = 12 sin(pi/4 x ) + 10 Period pi/8 pi/12 up 12Question 7 10 pts Write a sine equation to model the hours of daylight using the information above and a phase shift of pi/2. Edit View Insert Format Tools Table 12pt Paragraph BIUAV V . . .Question 8 10 pts Astronomers have noticed that the number of visible sunspots varies from a minimum of about 20 to a maximum of about 130 per year, with a sinusoidal pattern that has a repeating period every 11 years. Assume we started tracking the data in 2000 when the number of sunspots was at a maximum. Write a cosine function n(t) which models this phenomenon in terms of the time t which represents the years since 2000. Edit View Insert Format Tools Table 12pt * Paragraph " B I U A y Z v TyQuestion 9 10 pts A superhero trying to fight crime is swinging back and forth in front of the window. At t = 3s, he is at one end of his swing and 4m from the window. At t = 7s, he is at the other end of his swing and 20m from the window. Write an equation to model this situation. Oy= -10 cos " (a - 3) + 12 Oy = 8 cos I (x + 3) - 12 Oy = 10 cos I ( + 3) - 12 Oy = -8sin " (x - 3) + 12Question 10 10 pts A few students finished up their NCVPS work early and are playing skip rope. As the rope rotates it is observed that its maximum height is 2.75m after 1 second. The first minimum height of 0.25m occurs 2 seconds after the maximum height. Sketch a graph to model the situation. Upload it here. Upload Choose a File