Instructions: books, notes, and electronic devices are not permitted. 3 . (cid:20)arc = f (b) f (a) A (cid:21) : (12 points) the roundup is an amusement ride that made its debut in 1954. In the roundup, passengers stand inside of a 40 feet diameter rotating ring. Suppose that the ring rotates at 10 rpm (revolutions per minute). (a) find the angular speed of the ring (in radians per minute). (b) find the linear speed (in feet per second). The linear speed is the speed at which the passengers are moving. (c) suppose that each rider takes up a space along the wall of the ride that is 2 . How many passengers will t on the ride: (8 points) evaluate the following: (a) tan(cid:0) 11 . 3 (cid:1) = (d) sin( 60 ) : (12 points) find the following information for the function f (x) = 5 cos(3x + .