Question 8 (10 points) Given  a. Compute then use it to determine if the vector field is conservative.  Be sure to explain your response. A yes or no response is insufficient.  b. Find  

Question 8 (10 points) Given a. Compute then use it to determine if the vector field is conservative.  Be sure to explain your response. A yes or no response is insufficient.  b. Find

Question 12 (10 points) Find all local maxima, local minima, and saddle points. 

Question 4 (10 points) Sketch the vector field.

Question 12 (10 points) Find the dimensions of a closed rectangular box of volume which has the least surface area. 

Question 8 (10 points) Given 

Question 9 (10 points) Use Stokes’ Theorem to evaluate

Question 11 (10 points) Consider the function

Question 9 (10 points) Evaluate the double integral by reversing the order of integration. 

Question 1 (10 points)  Determine the limit or show it does not exist.    a.