Re: N-dimensional spheres

Quote:

Originally Posted by

**mikebreagan** Hello, all.

This is my first of I'm sure many posts here. The attached problem was the extra credit problems for my engineering calculus 3 class. They were due before the holiday break and I was unaware of them until now. Initially I was very upset that I had missed the opportunity of extra credit and then I looked at them and realized it wouldn't have mattered because I don't even know where to begin. Can someone walk me through these?

We do not help with work that counts towards your assessment, as in **extra credit**

Thread reopened as the closing date for submission is past.

CB

Re: N-dimensional spheres

For (a) we observe that:

where denotes the ball in centred at of radius

Then if we have , and so:

but the inner integral is just

(b) is just (a) applied twice.

CB