Question 2 Worth 8 points Find the unit vectors that are parallel to the tangent line to the curve at the point .

Question 10 Worth 8 points Use polar coordinates to find the volume of the solid under the paraboloid

Question 4 Worth 8 points Find the exact mass of a thin wire in the shape of a helix   , where

Question 4 Worth 8 points Find an equation of the tangent plane to the surface

Question 10 Worth 8 points Find the length of the curve where  , and  

Question 10 Worth 8 points Use polar coordinates to find the volume of the solid inside the sphere   and outside the cylinder  .

Question 12 Worth 10 points Use Green’s Theorem to evaluate the line integral along the given positively oriented curve.

Question 1 Worth 10 points a.    Describe in words the surface with equation 

Question 11 Worth 8 points Find the area of the surface S  where S is the part of the plane     that lies in the first octant.

Question 5 Worth 8 points Find the work done by the force field on a particle that moves along the curve where   ;  ;