Find the volume of the solid region which lies under surface

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Reference no: EM131014341

1. Find the volume of the solid region which lies under the surface z = x²y and which lies over the parallelogram with vertices (0,0), (0,1), (6,0), and (6,1).

2. Compute

_½∫¹ _√(1-x2)∫^x^√3 (x² + y²) dy dx + _½∫¹ _√(1-x2)∫^x^√3 (x² + y²) dy dx + ₂∫⁴ ₀₎∫^{√(16-x^2)} (x² + y²) dy dx.

Reference no: EM131014341

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