i. Use polar coordinates and iterated integration to find the volume of the solid region between the paraboloid z = x2 + 3:2 and the disk 1'1 + ya = 25. Show all work using a double integral and polar form: write exact answer [not decimal approximation]. 1. Sketch the portion of the plane 4x + 5y + 10z =20 that lies in the first octant. Include the intercepts of the plane with each coordinate axes. Find the volume of the solid bounded by the given plane and the coordinate planes. Use an iterated integration (either double or triple integral) to find the volume and check with a formula from geometry for volume of a pyramid