1. An eagle ying at 15 m/s at an altitude of 180 m drops its prey. The trajectory of the falling prey is parabolic and can be represented by x the equation y" 45 until it hits the ground, where y is the height above the ground and x is the horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth of a meter. 2. The Gateway Arch in St. Louis was constructed 115ng the equation y = 211.4920.96(:osh0.03291765x for the central curve of the arch, where x and y are measured in meters and |x| 5 91.20. Set up an integral for the length of the arch and use _ _ your calculator to estimate the length correct to . the nearest meter. ' 3. Find the area of the surface resulting from rotating the curve y = i5: 15 y 52 about the y-axis