Unformatted text preview: COOPER UNION spring 201 1
MB. 223 VECTOR CALCULUS
Instructor Dr. Leonid Srubehchik STUDENT NAME IN —CLASS EXAM #lD Do all your work in the blue booklet. Leave your answer there. Be sure to show all
your work for partial credit. 1. Let R be the solid region inside both the sphere as2 + y2 + 22 =1 and cone z=«.!'x2 + yz. Let the density at (x, y, 2) be f(x,y,z) = 22. El Describe the solid R in cylindrical coordinates; b) Using cylindrical coordinates set up integrals for the mass and for the center of
1- mass of the region R. (DO NOT TAKE THESE INTEGRALS!) ...
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- Spring '08