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18.024ESG Problem Set 10 Pramod N. Achar

Summary: 18.024­ESG Problem Set 10
Pramod N. Achar
Spring 2000
1. Exercises 1 and 2 in Section 11.15 of Apostol, Volume II.
2. (Optional) Exercises 3­8 in Section 11.15 of Apostol, Volume II. These are
just like the integrals in the preceding problems. I don't want to assign an
inordinate number of purely computational problems, but it takes some
practice to get used to setting up the limits on double integrals, so if you
are uncomfortable with the process after the preceding problem, you may
wish to try your hand at a few more.
3. Exercises 9 and 11 in Section 11.18 of Apostol, Volume II.
4. Let r be a constant. Compute the (four-dimensional) volume of the set
(r) = {x R4
| x r}.
5. (Optional--This problem is not conceptually hard, but the computation
involved is very tedious.) Define Bn
(r) as above, but with R4


Source: Achar, Pramod - Department of Mathematics, Louisiana State University


Collections: Mathematics