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( PARTA) Find the dimensions (both base and height ) of the rectangle of largest area...

( PARTA) Find the dimensions (both base and height ) of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola below. y = 8 − x

(PARTB) A box with a square base and open top must have a volume of 62,500 cm3. Find the dimensions( sides of base and the height) of the box that minimize the amount of material used.

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