Calculus

fx, y.2 ) dS 1. f(x, y. z) = z?; o is the portion of the cone z = vx2 + yz between the planes z = 1 and z = 2. 2. f(x, y. z) = xy; o is the portion of the plane x + y + z = 1 lying in the first octant. 3. f(x, y, z) = x2y; o is the portion of the cylinder x2+ z2 = 1 between the planes y = 0, y = 1, and above the xy-plane. 14 4. f(x, y, z) = (x2 + y2)z; o is the portion of the sphere x'+ y2 + z2 = 4 above the plane z = 1. 5. f(x, y, z) = x - y - z; o is the portion of the plane x + y = 1 in the first octant between z = 0 and z = 1. 6. f(x, y, z) = x + y; o is the portion of the plane z=6- 2x - 3y in the first octant. 7. f(x, y, z) = x+ y+z; o is the surface of the cube de- fined by the inequalities 0