10. - " g = . a5 3 A - o, = 8 " . (3 points) Consider the equation x* + 3 + 2* + sin(xy z) = z. Find at the point (1,2,9). . (3 points) Find the directional derivative of f(z,y, z) = r'yz + zy" at the point (1,1,7), as you leave the point (1,1,7) heading in the direction of the point (5,1,4). . (3 points) Find the equation of the tangent plane to the surface In(z* +3* +2) =22 41 at the point (1,1, -1). . (3 points) Let F(z,y,z) = (2% 2zy + %, 3ye*). Find div F(1,2,0) and curl (1,2,0). Is F conservative? expain. . (3 points) Evaluate [..(2x + y)ds, where C is the line segment from (0,2) to (3.-2), i.e., C:ft)=(3t,24),00y>0}L (3 points) Evaluate the surface integral f f x dS, where S is the surface given by z =% + y that projects to D = {(z,y) : hgz