4. A region E is the solid bounded by z = 0, z = 2 - 1 and + y2 = 4 as pictured, and consider the moment of inertia integral Myz = SSJe kr dV about the yz-plane. (a) In each problem, set up the triple integral or a sum of triple integrals that, if evaluated, would find Myz for the solid E for the given order of dV. You do not need to evaluate any of the integrals. Be extra careful with part (c): you should start by changing z = 2 1 to 1 = 2 z to find the intersection of surfaces in the yz-plane. i. DV = dz do dy ii. V = dy dz dr iii. dV = dur dy dz (b) Set up Myz as a triple integral in cylindrical coordinates. You do not need to evaluate the integral (although it will have the same value as your integral/sum of integrals in each of part (a)). 4. A region E is the solid bounded by z = 0, z = 2 - 1 and + y2 = 4 as pictured, and consider the moment of inertia integral Myz = SSJe kr dV about the yz-plane. (a) In each problem, set up the triple integral or a sum of triple integrals that, if evaluated, would find Myz for the solid E for the given order of dV. You do not need to evaluate any of the integrals. Be extra careful with part (c): you should start by changing z = 2 1 to 1 = 2 z to find the intersection of surfaces in the yz-plane. i. DV = dz do dy ii. V = dy dz dr iii. dV = dur dy dz (b) Set up Myz as a triple integral in cylindrical coordinates. You do not need to evaluate the integral (although it will have the same value as your integral/sum of integrals in each of part (a))