Task print modeling periodic phenomena with trigonometric functions throughout any given month, the maximum and minimum ocean tides follow a periodic pattern. last year, at a certain location on the california coast, researchers recorded the height of low tide, with respect to sea level, each day during the month of july. the lowest low tide was first measured on july 11, at -1.4 feet. the highest low tide was first measured on july 4, at 1.8 feet. the average low tide for the month of july was measured to be 0.2 feet. part a why do the ocean tides follow a periodic pattern? font sizes characters used: 0 / 15000 part b question a function is created to model the situation where the day of the month, x, is the independent variable, and the height of low tide, t, is the dependent variable. plot the two points that we know on a graph. include a dotted line representing the monthly average low tide height, and appropriately label the axes. note that x = 1 is july 1. lines shapes fill: ▼ line: ▼ width: part c which curve would you choose to model this function, sine or cosine? give your reasons. font sizes characters used: 0 / 15000 part d find the amplitude of the function. explain its meaning in the context. font sizes characters used: 0 / 15000 part e find the period of the function. explain its meaning in the context. font sizes characters used: 0 / 15000 part f find the vertical shift of the function. explain its meaning in the context. font sizes characters used: 0 / 15000 part g find the phase shift of the function. explain its meaning in context. font sizes characters used: 0 / 15000 part h write the function for the curve from all of the key features you just found. font sizes characters used: 0 / 15000 part i question graph the function on the grid from part c, where you plotted the two given points. lines shapes fill: ▼ line: ▼ width: part j what are the days of the month when the low tide is projected to be the average height? what do you suppose a decimal value for a day in the month means? font sizes characters used: 0 / 15000 part k the actual low tide height recorded on a given day could vary from the function created as a model. give some reasons for why you think this happens. font sizes characters used: 0 / 15000