Tuesday, November 15, 2016

Practice Test #7





For this one I set me integral up as:  Int[0,2pi] Int[0,4] Int[0,16-r^2] rdzdrdtheta

I am not getting the right answer can you please tell me what I am doing wrong?

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Yes, the inequality x^2+y^2≥1 means that the lower limit of integration for r  is 1. This means the domain has a hole in it, from above it looks like this:

 

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