Determine whether this is a parabola: y = 532 + 20x + 11 . '3' Parabola C} Not a parabola 641' If it is a parabola, write the equation in standard form: (3; k): = 4;}(3 h] or (I h)2 = slyly it). Otherwise, leave the rest blank. h=.2 Jd' I]: Determine whether this is a parabola: [I Y} = 9(y 5}? . '1?) Parabola '3' Not a parabola 64-! If it is a parabola, write the equation in standard form: (y ka : 4m; _ h} or (x _ hf : 433W _ k)_ Otherwise, leave the rest blank. 9 55 Find the equation for the parabola that has its focus at (E. 4) and has directrix I = T- The equation is: An arch is in the shape of a parabola. It has a span of 334 feet and a maximum height of 31 feet. Find the equation of the parabola [assuming the origin is haifway between the arch's feet]. :1 Determine the height of the arch 11 feet from the center. | A satellite dish is shaped like a paraboloid of resolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the dish is 31' feet across at its opening and 4 feet deep at its center, where should the receiver be placed? nasagm' Find the equation of the parabola. |:] Howr far above the vertex should the receiver be placed?l _ Two LDRAN radio stations A and B are 130 kilometers apart and send a simultaneous radio signal to a ship. GE" A B PR" The signal from B arrives 0.0002 seconds before the signal from A. If the signal travels 3D, kilometers per second, find the equation of the hyperbola on which the ship is positioned. Use a coordinate system where the origin is the midpoint between the stations, and the stations lie on the x-axis. The sides of a nuclear power plant cooling tower form a hyperbole. The diameter of the bottom of the tower is 18? feet. The smalleot diameter of the tower is 162 feet which is 431 feet above the ground. The tower 15 590 feet tall. Find the width of the tower at a height of 63 feet. feet. "tour mission is to track incoming meteors to predict whether or not they will strike Earth. Since Earth has a circular cross sectionr you decide to set up a coordinate system with its origin at Earth's center. The equation of Earth's surface is 1:2 + y3 = 41158 , where x and y are distances in thousands of kilometers. 24D You observe a meteor moving along a path from left to right whose equation is {y 11]2 1:2 2 El] , 121 where y :1 5.5. 1lil'hat conic section does the path of the meteor travel? The meteor's path is aln] hyperbole J o" . What is the center of the conic section that describes the path of the meteor? - o" , 11 0': Determine if the meteor will strike the earth and if it does strike the earth at what point. If the meteor doesn't strike the earth then enter NAN for the coordinate