In Problems #1-2, sketch the region of integration for the given integrals. 1. LLL LIVE f(x,...

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In Problems #1-2, sketch the region of integration for the given integrals. 1. LLL LIVE f(x, y, z) dz dx dy. f(x, y, z) dy dz dr. 2. In Problems #3-7, decide whether the integrals are positive, negative, or zero. Let S be the solid sphere 2+ y+z2 <1, T be the top half of this sphere (with > 0), B be the bottom half (with z <0), and R be the right half of the sphere (with > 0). 3. e dv 4. ez dv 5. sin z dv 6. L. sin z d dv 7. Losin sin z dv 8. Find the volume of the region in the first octant bounded by the coordinate planes and the surface r+y+z = 2. 9. Write a triple integral that gives the volume of the region between the top portion of the sphere r+ y+22=9 and the plane z = 2. 10. Find the mass of the triangular-shaped solid bounded by the planes z = 1+x, z=1, z=0, and with 0 y 3. The density is 6 = 10-z g/cm and x, y, z are in cm. In Problems #1-2, sketch the region of integration for the given integrals. 1. LLL LIVE f(x, y, z) dz dx dy. f(x, y, z) dy dz dr. 2. In Problems #3-7, decide whether the integrals are positive, negative, or zero. Let S be the solid sphere 2+ y+z2 <1, T be the top half of this sphere (with > 0), B be the bottom half (with z <0), and R be the right half of the sphere (with > 0). 3. e dv 4. ez dv 5. sin z dv 6. L. sin z d dv 7. Losin sin z dv 8. Find the volume of the region in the first octant bounded by the coordinate planes and the surface r+y+z = 2. 9. Write a triple integral that gives the volume of the region between the top portion of the sphere r+ y+22=9 and the plane z = 2. 10. Find the mass of the triangular-shaped solid bounded by the planes z = 1+x, z=1, z=0, and with 0 y 3. The density is 6 = 10-z g/cm and x, y, z are in cm.