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(Solved): (A) Sketch the graph of the region R bounded by y=\sqrt(x-1), the x-axis, and the line x=2. (B) Wha ...
(A) Sketch the graph of the region R bounded by y=\sqrt(x-1), the x-axis, and the line x=2.
(B) What is the volume of the solid generated when the region R is rotated about the y-axis.
(C) A line y=k divides R into two regions R_(1) and R_(2) so that volumes of the solids generated when R_(1) and R_(2)
are rotated about the y-axis are equal. Write an equation that can be used to solve for k. What is k ?