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

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

Question 9 Worth 8 points Use Lagrange multipliers to find the maximum value of the function  subject to the constraint  .  

Question 4 Worth 8 points Find a set of parametric equations of the line that passes through the point

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  .