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Unformatted text preview: Z i ( e 5 ixe5 ix ) dx. Write the result using only realvalued Functions; the resulting expression should not contain the imaginary number i . 6. (6 points) A region in the plane is bounded by the xaxis and the curve y = 3 cos( x ) withπ 2 ≤ x ≤ π 2 . (a) Find the area of the region. (b) Find the ycoordinate of the centroid of the region. 7. (4 points) The base of a solid S lies in the xyplane and is bounded by the xaxis, the yaxis, and the parabola y = 1x 2 9 . Cross sections of the solid S perpendicular to the xaxis are squares. Find the volume of S . 8. (4 points) Find the solution to the following initial value problem. ( y = yx + 2 x y (0) = 1 9. (4 points) Find the area enclosed by the polar curve r ( θ ) = p 3 sin( θ )....
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This note was uploaded on 04/29/2010 for the course MATH MATH 20B taught by Professor Takeda during the Spring '07 term at UCSD.
 Spring '07
 Takeda
 Math

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