(x,y,z)D X22+zy 13D use Dvergence Theovem to find tward Sof the Solid G bounded x-1 %3D xy-Plane

(b) Let C₁, C₂2 and C3 be the curves in R³ with parametrisations C₁: r₁(s) (s − 2)i + (2s² − 1)j + k (SER) C₂ r₂(t) 2t² i + (3t+7)j + (t+1) k (t = R) C3 r3(u) (u² + 4u+3)i + (u² + 6)j + (u + 2)k (u ¤R) = = = respectively. (i) Show that C₁, C₂ and C3 intersect at the point (0, 7, 1). answer. (ii) Find the tangent vectors to the curves C₁, C₂ and C3 at the point (0, 7, 1). Do these tangent vectors lie in a common plane in R³? Justify your (iii) Is it possible to find a surface z = h(x, y) for which the curves C₁, C₂ and C3 all lie on this surface? Justify your answer.