Posted by **naseba** on Thursday, March 29, 2012 at 8:40am.

1. Let R be the region bounded by the x-axis, the graph of y=sqr(x) , and the line x=4 .

a. Find the area of the region R.

b. Find the value of h such that the vertical line x = h divides the region R into two regions of equal area.

c. Find the volume of the solid generated when R is revolved about the x -axis.

d. The vertical line x = k divides the region R into two regions such that when these two regions are revolved around the x – axis, they generate solids with equal volumes. Find the value of k.

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