# Science:Math Exam Resources/Courses/MATH101/April 2008/Question 02 (b)

MATH101 April 2008
Other MATH101 Exams

### Question 02 (b)

Full-Solution Problem. Justify your answers and show all your work. Simplification of answers is not required.

Let $R$ be the unbounded region that lies under the curve $y=1/x^{p}$ , above the $x$ -axis, and to the right of the vertical line $x=1$ . For what values of the constant $p$ does the solid obtained by rotating $R$ about the $x$ -axis have finite volume?

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