(d) an engineering firm has contacted you to calculate the mass of a new [7 marks] component they have developed. the component can be defined as being bounded by the surfaces y = 0, y = x2 +1, y = 2-, z = 0 and 2 = 2. the density of the component changes along its height, determined by p(x) = 25-22. in their email to you, they have stated that the component is symmetric about the y-axis, and the coordinate transformation y + x2 = u and y-c? = v may be required. what is the mass of the component?