answer all of the questions please :)

10. Find an equation of the plane that passes through the points (2, -1, 0), (1, 4, -2), and (-3,0, -1). 11. Find the symmetric equations of the line which is perpendicular to the plane 2 + 3y + z = 1 at the point (0, 0, 1). 12. Write an equation of the sphere whose diameter has endpoints (-2, 3, 1) and (0, 5, -1). 13. Classify each of the following subsets of R3 as a curve, surface, or solid. Describe precisely what the graph of this region in 3 is, then graph the region, showing all of its important features. (a) x2 + y? = 9 and z = 4 (b) r(t) = (21 + 3j + k)t (c) y=3 (d) 2x + 3y + 4z = 12 (e) Ity=2 (f) y2 + 22 = 4 (g) y = 212 (h) x2 + y2 + z2 - 2x + 4y - 6z=2 (i) z = 912 + 4y2 (j) z = VI2+ yz (k) The region bounded by x2 + y2 + z2 = 4 and x2 + y2 + z2 =1 such that z50. (1) The region bounded by z = 4 -12, z = 0, y = 0, and y = 3