Problem $10\mathrm{.}61$

Consider the shaded area in $($Figure $1).$ Suppose that $\backslash ($ a$=2\mathrm{.}4\backslash$mathrm$\{$in$\}\backslash ).$ and $\backslash ($ b$=1\mathrm{.}44\backslash )$ in$.$

Part A

Determine the product of inertia of the area with respect to the $\backslash ($ x $\backslash )$ and $\backslash ($ y $\backslash )$ axes.

Express your answer in inches to the fourth power to three significant figures.

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