Question: The rectangular plate have sides with the lengths 1 and 3. The density ?(x, y) of the alloy the plate is made from is proportional

The rectangular plate have sides with the lengths 1 and 3.

The rectangular plate have sides with the lengths 1 and 3. The density ?(x, y)

of the alloy the plate is made from is proportional to the 4th power of the distance from one corner (it does not matter which one), ? = ?r4 .

Find the total mass of the plate

The density ?(x, y)of the alloy the plate is made from is

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