Problem 3: [8 pts] A thin wire that extends from x = 0 to :r: = 3 and has density p(:r:) = 41V 16 + 1:3 Morgan is asked to find the mass of this wire and provides the argument. below. I know that density 2 (mass) x (length). Since p(3) = 4(3)\" 16 + (3)2 = 12x/2_5 = 60 and the wire is 3 units long, the mass is m = (60](3) = 180 units. Determine if Morgan is correct or incorrect. If Morgan is incorrect, explain the error that they made, then calculate the mass correctly. (Make sure to include a solution, a reection, and an reference to an example of a similar pmblem em elsewhere in the course)