The value of \( c \) for which the area of the figure bounded by the curve \( y=8 x^{2}-x^{5} \)....

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The value of \( c \) for which the area of the figure
\( \mathrm{P} \)
bounded by the curve \( y=8 x^{2}-x^{5} \), the straight lines \( x \) \( =1 \) and \( x=c \) and the \( x \)-axis is equal to \( 16 / 3 \) is
(1) 2
(2) \( \sqrt{8-\sqrt{17}} \)
(3) 3
(4) -1


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