Today's calculation of Integral 532
Source: 1988 Nippon University entrance exam/Industrial Technology
January 21, 2010
calculusintegrationgeometrytrigonometrycalculus computations
Problem Statement
For a curve C: y \equal{} x\sqrt {9 \minus{} x^2}\ (x\geq 0),
(1) Find the maximum value of the function.
(2) Find the area of the figure bounded by the curve and the -axis.
(3) Find the volume of the solid by revolution of the figure in (2) around the -axis.
Please find the volume without using cylindrical shells for my students.
Last Edited.