9 - x2 Vx2 4 y2 Given the integral: V = dz dy dx -19- x2 0 a) sketch the solid of integration, b) convert the integral into cylindrical coordinates, and C) convert the integral into spherical coordinates. d) Evaluate b) or c) to find the volume.a) Sketch the solid inside both: x 2+1+2- = 8 and z= 1/2 (x + y b) Given a volume density proportional to the distance from the xy-plane, set up integrals for finding the mass of the solid using cylindrical coordinates, and spherical coordinates. 1. k27 c) Evaluate one of these to find the mass.Sketch the region: R = { (x, y) | 0sysx, 0sxs 4 }, and b) find the absolute maximum and absolute minimum values of the function: f(x,y) = y - xy + x, over the region R and where they occur. Find the point(s) on the surface: x" + 2y + 2z=20 closest to the origin. What is the minimum distance? (Lagrange multipliers optional)