Designing a skate park 1 point possible (graded) You are helping to design a skateboard park. Skateboarders drop down from the platform 3 meters high on the right. They are slowed slightly by the ramp on the left. You want to connect the ramp on the left to the platform on the right via a parabola so that the curve you get is continuous at both at: = 2 and at: = 4. You also want the slope of the tangent line to the parabola to match the slope of the ramp so that it is a smooth ride. Find the equation of the parabola f (@) that connects these two platforms. (Enter * for multiplication, e.g. 2*x for 2ac. Type / for division; e.g. x/2 for . Type A for exponents; e.g. x/\\2 for a2.) f ( ac ) =Two points with same tangent line 1 point possible [graded] There is a slight problem with the skate park that you designed. Beginning skateboarders keep wiping out on one section of hills that are a bit difficult to navigate. 10 MQ'JMO 2 4 6 8 10 The solution you have come up with is to place a board over the two humps to flatten out the section where skaters are wiping out. You have a long board, but you need to determine what length to cut it. To do this, you must identify the two points that board will touch when you lay it across the valley. You designed the hills to follow the curve 3; = sin(:n) m/2 + 10. The slopes of the tangent lines of this function are the same for any two points that are separated by a distance of 211'. Find the two points (:30, f (230)) and (:30 + 27f, f (:30 + 2a)) with D