Let%20D%20be%20the%20(rotated)%20square%20in%20R2%20with%20vertices%20(%C3%82%C2

Question

Let%20D%20be%20the%20(rotated)%20square%20in%20R2%20with%20vertices%20(%C3%82%C2%B11%3B0)%20and%20(0%3B%C3%82%C2%B11).%20Let%20f(x%3By)%3D5%2Cg(x%3By)%3Dxy%2Cand%20h(x%3By)%3Dy2.%20Compute%20the%20double%20integrals.%20%0A%0A%20Hint%3A%20Pay%20attention%20to%20the%20geometric%20meaning%20of%20the%20double%20integral%20in%20terms%20of%20signed%20()%20volumes%20beneath%20graphs%20over%20regions.%20Using%20this%20interpretation%2C%20the%20value%20of%20the%20rest%20two%20double%20integrals%20can%20be%20determined%20without%20integrating%20(!)%2C%20while%20the%20last%20can%20be%20determined%20with%20only%20a%20single%20iterated%20integral%2C%20despite%20the%20complexity%20of%20the%20region.%20Explain%20your%20solutions!

Explanation / Answer

Dude, the question!!!

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