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

Question 9 Worth 8 points Evaluate

Question 5 Worth 8 points Given Find

Question 1 Worth 10 points Given vectors , 

Question 1 Worth 10 points a.    Change the point

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 scalar tangential component of acceleration of a particle with position vector .

Question 2 Worth 8 points Use spherical coordinates to set up the integral 

Question 6 Worth 8 points Find the velocity, acceleration, and speed of an object with position function   .  

Question 2 Worth 8 points Convert this integral from rectangular coordinates to cylindrical coordinates (Do not evaluate the integral)

Question 12 Worth 10 points Evaluate the line integral by applying Green’s Theorem to