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Problem 1. Find all local maxima and minima of the function
Problem 2. Use the method of Lagrange multipliers to find the point on the line of intersection of the planes
that is the closest to the origin.
Problem 3. Use the method of Lagrange multipliers to find local maxima of
under the constraints
Problem 4. Find the integral of
over the plane region G bounded by the lines y = x, y = -x
and x = 4
Problem 5. Evaluate
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