Question: 3) 4) 5) 6) Find the absolute maximum and absolute minimum values of 2X + 3y - 4x - 5 on the region X

3) 4) 5) 6) Find the absolute maximum and absolute minimum values of 2X + 3y - 4x - 5 on the region X + y 25. Show that the surfaces 3X + 2Y + Z = 9 and x + y + Z 8X - 6Y - 8Z + 24 0 have a common tangent plane at the point (1, 1, 2) = Find the maximum and minimum values that 3x - y attains on the intersection of the surfaces x + and x + 2z = 1. Find, using Lagrange multiplier(s), the shortest distance from the point (2, 0, -3) to the plane X + Y + Z = 1
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