1) The base of a solid is the region in the first quadrant enclosed by the graph of ( y=4-x^{2} ) and the ( x & y ) axes. If every cross section of the solid perpendicular to the ( x )-axis is a base of a rectangle and each height is five times the base, the volume of the solid is given by (A) ( int_{0}^{4}left(4-x^{2} ight)^{2} d x ) (B) ( 5 int_{0}^{4}left(4-x^{2} ight)^{2} d x ) (C) ( 5 int_{0}^{2}left(4-x^{2} ight)^{2} d x ) (D) ( 5 int_{0}^{2}left(4-x^{2} ight) d x )
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The graph of \(y=4-x^{2}\) intersects the x-axis at \(x=\pm 2\), so the region in the first quadrant is bounded by \(x=0\) and \(x=2\). Show more…
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