Maximize ( B=4 x y^{2} ), where ( x ) and ( y ) are positive numbers such that ( x+y^{2}=7 ). The maximum value of ( B ) is (Simplify your answer. Type an exact answer, using radicals as needed.)

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Maximize  ( B=4 x y^{2}  ), where  ( x  ) and  ( y  ) are positive numbers such that  ( x+y^{2}=7  ). The maximum value of  ( B  ) is (Simplify your answer. Type an exact answer, using radicals as needed.)

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(Solved): Maximize \( B=4 x y^{2} \), where \( x \) and \( y \) are positive numbers such that \( x+y^{2}=7 \ ...

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