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

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

Question 1 Worth 10 pointsGiven Find the domain of the function. Evaluate

Question 9 Worth 8 points Find an equation of the normal plane to 

Question 12 Worth 8 points Given that

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

Question 3 Worth 8 points Find two unit vectors that are orthogonal to both and

Question 9 Worth 8 points Find the directional derivative of the function

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 11 Worth 8 points Find the position and velocity vectors of a particle that has the given acceleration and the given initial velocity and position: ,  , and  .