Find the dimensions $x$ (horizontal side) and $y$ (vertical side) of the rectangle inscribed in a circle of radius $r$ that maximizes the quantity $4xy^2$. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the answers in terms of the radius, $r$.)
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The dimensions of the rectangle are ?x = 4??2 and ?y = 2??. Show more…
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