ps7-2010 - 18.02A Problem Set 7 IAP 2010 due Friday Jan.22,...

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18.02A Problem Set 7 – IAP 2010 due Friday Jan.22, 11:45 in 2-106 Part I (20 points) Lecture 28. Thurs. Jan.14 Triple integrals: rectangular and cylindrical coordinates Read: Notes I.3, 20.5, 20.6 Work: 5A - 2a,d, 5, 6 Lecture 29. Tues. Jan.19 Gravitational attraction: Flux in 3D Read: 20.7, Notes G Work: 5B - 1c, 3; 5C-3 Lecture 30. Wed. Jan. 20 Vector fields in 3-space; Surface integrals Read: Notes V8, V9 Work: 6A - 1, 3, 4; 6B - 1, 2, 3, 4, 5, 8 Lecture 31. Thurs. Jan. 21. More surface integrals. Divergence theorem. Read: Notes V10 Work: 6C - 3, 5, 7a, 8 Lecture 32. Fri. Jan. 22. Divergence theorem cont’d. Applications, interpretations. Read: Notes V15 sec.1 for div in notation - skip Stokes’ theorem refs.; Notes v15 sec. 2 to middle p.3 Part II (30 points) Problem 1. (Thursday. 5pts) A wedge is given by the region above the plane z = 0 and below the plane z = y/ 2 where x 2 + y 2 1. The density of the material in the wedge is given by ρ ( x, y, z ) = ( x 2 + y 2 ) 1 / 2
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