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5. (20 Points.) Let S be the the ellipsoid given by the equation x + y + 6z = 32. Find the biggest and

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5. (20 Points.) Let S be the the ellipsoid given by the equation x + y + 6z = 32. Find the biggest and smallest values that the function f(x, y, z) = x+y+6z achieves on the part of S that lies on or above the plane x+7y+6z= equation is x+7y+6z=0

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