Question 1 Worth 10 points a.   Change the point

Question 10 Worth 8 points Use the given transformation to evaluate the integral 

Question 1 Worth 10 points Given

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

Question 2 Worth 8 points Find the equation of the plane through the point with normal vector

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.    Now find the unit tangent vector  for for the plane curve  .  

Question 8 Worth 8 points Evaluate the integral 

Question 7 Worth 8 points Find the limit.

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

Question 6 Worth 8 points Find the work done by a force  that moves an object from the point   to the point   along a straight line. The distance is measured in meters and the force in newtons.