Island Problem: Ona Nyland owns an island several hundred feet from the shore of a lake. Figure 3-7j shows a vertical cross section through the shore, lake, and island. The island was formed millions of years ago by stresses that caused the earths surface to warp into the sinusoidal pattern shown. The highest point on the shore is at x = 150 feet. From measurements on and near the shore (solid part of the graph), topographers find that an equation of the sinusoid is where x and y are in feet. Ona consults you to make predictions about the rest of the graph (dotted). y = 70 + 100cos (x + 150) a. What is the highest the island goes above the water level in the lake? How far from the y-axis is this high point? Show how you got your answers. b. What is the deepest the sinusoid goes below the water level in the lake? How far from the y-axis is this low point? Show how you got your answers. c. Over the centuries silt has filled the bottom of the lake so that the water is only 40 feet deep. That is, the silt line is at y = 40 feet. Plot the graph. Use a friendly window for x and a window with a suitable range for y. Then find graphically the range of x-values between which Ona would expect to find silt if she goes scuba diving in the lake. d. If Ona drills an offshore well at x = 700 feet, through how much silt would she drill before she reaches the sinusoid? Describe how you got your answer. e. The sinusoid appears to go through the origin. Does it actually do this, or does it just miss? Justify your answer. f. Find algebraically the range of x-values between which the island is at or above the water level. How wide is the island, from the water on one side to the water on the other? 1

April 11, 2016 Midterm 3 April 13, 2016 Globalization ● Globalization is phenomenon than be measuredcreate an Index of Globalization ● Huntington's “The Clash of Civilizaivilizations are fighting each other ○ Can see terrorism as this ○ There is a difficulty on measuring state power because things change ● Fukuyama’s “The End of History” and “The Last Maimage of international system dominated by free market and liberal democracy\ ● Globalization is NOT an e