# HW 10 - Math E-21a Fall 2009 HW#10 problems Problems to...

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1 Math E-21a – Fall 2009 – HW #10 problems Problems to turn in on Thurs, Nov 12 : Section 12.7 : 4. Evaluate the iterated integral: 12 00 2 xy x xyz dz dy dx   10. Evaluate the triple integral E y dV  where E is bounded by the planes 0 x , 0 y , 0 z , and 22 4 z  . 12. Evaluate the triple integral E xzdV where E is the solid tetrahedron with vertices at (0,0,0), (0,1,0), (1,1,0), and (0,1,1). 16. Evaluate the triple integral E zdV where E is bounded by the cylinder 9 yz and the planes 0 x , 3 y x , and 0 z in the first octant (i.e. where x , y , and z are all nonnegative). 20. Use a triple integral to find the volume of the solid enclosed by the paraboloid x  and the plane 16 x . 36. Find the mass and center of mass of the solid E bounded by the parabolic cylinder 2 1 zy  and the planes 1 x z  , 0 x , and 0 z with the density function (, ,) 4 xyz . 40. Set up, but do not evaluate, integral expressions for (a) the mass, (b) the center of mass, and (c) the moment of inertia about the z -axis for the solid hemisphere 222 1, 0 z  ; with density function (, ,) x y z .

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HW 10 - Math E-21a Fall 2009 HW#10 problems Problems to...

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