Please solve the following short questions. Solutions have been provided.

\fFind the equation of the tangent plane to the surface 2: = 4 $2 y2 at the point (1,1,2). Solution: 23: + 2y + z = 6 Which of the following is the equation of the tangent plane to the surface dened by (:I:,y,z) 2 23:22 4mg 4m 7 = 0 at the point (1, 1,2)? (a>8x+3y4z=3 (c)2:c4y4z=3 (d)8m+4y+32=9 15. The equation of the tangent plane to the surface z = $23; + 92 at the point (1,1,2)is: (a)2x+3yz=2 (b)2x3yz=3 (c)2x+3yz=3 (d)2:r:+3yz=4. Solution: (c) Let F be a vector eld in R3 and (,0 a. scalar function. Which of the following expressions is meaningless? (a) curl(curl F) (b) div(grad (,0) (c) curl(div F) (d) div(curl F)