8. Evaluate dydc by applying the transformation u =x+y, u = y - 2x and integrating over a appropriate region in the uv-plane. Answer :_____________

3. A manufacturer finds that it takes a units of labor and y units of capital to produce f(z,y) = 100x3/4y1/4 units of product. If a unit of labor costs $100, a unit of capital costs $200, and $200,000 is budgeted for production, determine how many units sbould be expended on labor and how many units should be expended on capital in order to maximize production.

8. Evaluate dydc by applying the transformation u =x+y, u = y - 2x and integrating over a appropriate region in the uv-plane. Answer :_____________

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