A farmer \( F_{1} \) has a land in the shape of a triangle with ver...

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A farmer \( F_{1} \) has a land in the shape of a triangle with vertices at \( \mathrm{P}(0,0), \mathrm{Q}(1,1) \) and \( \mathrm{R}(2,0) \). From this land, a neighbouring
P farmer \( \mathrm{F}_{2} \) takes away the region which lies between the
W) side PQ and a curve of the form \( y=x^{n}(n1) \). If the area of the region taken away by the farmer \( F_{2} \) is exactly \( 30 \% \) of the area of \( \triangle \mathrm{PQR} \), then the value of \( \mathrm{n} \) is
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