Find all the possible values of $b > 0,$ so that the area of the bounded region enclosed between the parabolas $y = x - b x^{2} a n d y = \frac{x ^{2}}{b}$ is maximum.

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Find all the possible values of

b > 0,

so that the area of the bounded region enclosed between the parabolas

y = x - b x^{2} a n d y = \frac{x ^{2}}{b}

is maximum.

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Question Text

Find all the possible values of

b > 0,

so that the area of the bounded region enclosed between the parabolas

y = x - b x^{2} a n d y = \frac{x ^{2}}{b}

is maximum.

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