Question 1 10 pts Suppose the function H] : 7cos({},021t 3.1] + 12 models the hours of sunlight for a town, where t = 1 is the rst day the year. Based on the function, what is the OWE range of the daylight hours for the town? {I} 4.5 to 13.5 D 4 to 20 D 5 to 19 (I) 5.5 to 19.5 Question 2 10 pts A Ferris wheel is designed in such a way that the height {h}. in feet, of the seat above the ground at any time. t, is modeled by the function y = 85 30 cos (x + %)_ What is the Mum height a seat reaches? (3 115 feet 0 60 feet 0 55 feet 0 35 feet 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? 0 Cosine is better when the minimum is on the y-axis and sine is better if the midline is at the origin. 0 Cosine is better when the maximum is on the y-axis and sine is better if the midline is at the origin. 0 Sine is better when the maximum is on the y-axis and cosine is better if the midline is at the origin. 0 Sine is better when the minimum is on the y-axis and cosine is better if the midline is at the origin. Question 4 10 pts The population, P, of Lake Norman with a large number of seasonal residents, can be modeled using the function H=SUOD sin301+ 6100, where r is the number of months after New Year's Day. What is the minimum population? 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 File