For parts a and b, Figure 12-7c shows an ellipse of eccentricity 0.8, with foci at the points (6.4, 0) and (6.4, 0) and one directrix at x = 10. The point shown on the ellipse has x = 3. Figure 12-7c a. Measure the three distances d1, d2, and d3 using the scales shown. Confirm that d2 = ed1. Confirm that d2 + d3 = 16, the major diameter. b. Write a Cartesian equation for the ellipse. Use the equation to calculate y for the point where x = 3. Use the value of y and the Pythagorean theorem to calculate d2 and d3 exactly. Do your measurements in part a agree with the calculated values? Does d2 + d3 equal 16 exactly? c. Billiards Table Problem: An elliptical billiards table is to be built with eccentricity 0.9 and foci at the points (0, 81) and (0, 81), where x and y are in centimeters. Find the major and minor radii. Write parametric equations for the ellipse, plot them on your grapher, and sketch the result. If a ball at one focus is hit in any direction and bounces at the edge of the table, through what special point will the path of the ball go? d. Identify the conic section whose equation is shown here. Sketch the graph. Find the four radii and the eccentricity. e. A parabola has directrix x = 4 and focus at point (0, 0). Sketch this information. Find the particular Cartesian equation. Plot the graph and sketch it on your paper. f. Find the parametric equations of the hyperbola with eccentricity and foci at points (2, 1) and (2, 7). Plot the graph and sketch the result.

Religion 1000 Islam Islam phobia: generalized fear or hostility against Islam Images of Islam distorted by media, especially in Europe Discrimination o Government based (legal forms) o Citizen based (the way people treat each other) A world religion (greatly influenced) An American religion An inter-textual religion (grew out of Judeo-Christian religion) Growing religion o 2010 1.6 billion, 23% of population o Fastest growing religion 19/20 century Muslim nations were European countries Arabian Dialect is main language th Saudi Arabia=birthplace of Islam (7 century) Sub-Saharan Africa=15% of world Musl