9. P is an arbitrary point inside rectangle ABCD. Prove the following: (PA) + (PC)² = (PB) + (PD)² %3D

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A: Given :            ∫01∫0ln(2)xyexy2 dx dy

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Q: needed. That way you'll have better chance x2 + + 2x +3 dx x3 +3x2 + 9x a. #13. 26+

A: Since you have asked multiple questions in single request,  So we will be answering only first…

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A: topic - indefinite integral

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A: Solve by integra

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A: Given:  ∫x2-1x+3x4+4xdxwe know that ∫A+Bdx=∫Adx+ ∫BdxThen,∫x2-1x+3x4+4xdx=∫x2dx-∫1xdx+∫3x4dx+∫4xdx…

Q: Evaluate the following intergral: 0 512 8 S 1 3 y4+1 dy dx

A: Order of change of Double integral

Q: A rectangular dock that measures 12 feet by 16 feet is treated with a uniform strip of nonslip…

A: A rectangular dock that measures 12 feet by 16 feet is treated with a uniform strip of nonslip…