Determine whether the statement is true or tase: Sy asdy 2. Switch the order of integration for e dxdy 3. Determine which of the following describes in polar coordinates the region (a) True (b) False 4. Determine which of the following describes in rectangular coordinates the region (c) R={(x,y): 0 S y x,05x 1) (d) R = {(x,y): x 1-1 0) y 5. Determine whether the vector field F(x,y)s-, i--j is conservative or not (a) The field is conservative (b) The field is not conservative 6. 2xyzi + (2y + x21) + x2yk irrotational? Is the vector field F(x, y, z) (a) Yes, it is irrotational Find the divergence of the vector field F(x,y,z)=xy2z (a) 6 If a vector field F(x, y) = 3y1+ (x-y)j. On the fourth quadrant, the vector field points to (a) Upper right The vector functions r(t)=-ti where 1 st S 2, define the same curve. (b) No, it is rotational +4yz2j + yuk at the point(,-2,1) (d) -12 7. (b) 12 (c)-6 8. (b) Upper left (c) Down right (d) Down left 9. + t2, where 0 sts 1, and rat)-(t-2)1 + (t-2) (b) False (a) True then Sc F , dr = 0. 10. If F = y2i + 2xyj and C is given by r(t)-(cost)i-(sit),--st (b) False (a) True