Use Lagrange multipliers to find the maximum and minimum values of the function 
subject to the constraints 
and 
.
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Q1: Use Lagrange multipliers to find the maximum
Q2: At what point is the following function
Q3: Find the absolute minimum value of the
Q4: Use Lagrange multipliers to find the maximum
Q5: Find the points on the surface
Q7: Find and classify the relative extrema and
Q8: Find all the saddle points of the
Q9: Find the direction in which the maximum
Q10: Find the shortest distance from the point
Q11: Find the critical points of the function.
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