A Lamina Occupies the Part of the Disk $x ^ { 2 } + y ^ { 2 } \leq 81$

question 42

Short Answer

A lamina occupies the part of the disk $x ^ { 2 } + y ^ { 2 } \leq 81$ in the first quadrant. Find its center of mass if the density at any point is proportional to its distance from the x-axis.

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Definitions:

Supply Of Money

The total amount of money in circulation or in existence in a country.

Checking Deposits

Deposits in a bank account that can be withdrawn at any time without prior notice, typically used for day-to-day expenses.

Reserve Ratio

The percentage of deposits that banking authorities mandate a bank to keep as reserves, prohibiting them from being loaned out.

Goldsmith's Receipts

Historical documents issued by goldsmiths that served as a form of paper money, representing a claim on the gold held by the goldsmith.