1. The plane 3x-3y - 2 = 4 intersects the paraboloid z = x² + y² in an ellipse. Use the method of Lagrange multipliers on two constraints to find the points on this ellipse that are nearest to and farthest from the origin.

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Q: 1. Expand the following expressions: TC(q)-2TR(q) - FC(q) b. 5q-(3-2q)³ 1-In ()² C.

A: a. The expression TC(q) - 2TR(q) - FC(q) can be expanded as follows:   TC(q) - 2TR(q) - FC(q) =…

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Q: Graph the feasible region for the system of inequalities. y> 8x-3 y <-4x+5

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