Question 12 Worth 10 points a.    Sketch the plane curve and the vectors and when  .    (Do NOT attempt to find  and  when making this sketch, and note that this a 2-dimensional sketch).   b.    Find the unit tangent vector when for the curve defined by .

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

Question 5 Worth 8 points Find the distance between the planes 

Question 3 Worth 8 points Find using the chain rule, given that: .

Question 4 Worth 8 points Find the equation of the normal line to the surface     at the point .  

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

Question 6 Worth 8 points Evaluate the line integral 

Question 1 Worth 10 points Given vectors , 

Question 10 Worth 8 points Use the indicated change of variables to evaluate the following double integral.

Question 1 Worth 10 points a.    Change the point