Math 402 (Summer 2008): Bonus problem

I'll add ten points to your quiz score if you write out a neat solution to the following and hand it in on Thursday:

Parameterize the sphere ρ = a in terms of φ and θ. Use the parameterization to find dS for the sphere. (Don't forget to include dφ and θ in your final answer.)

A good way to check your result is to see whether the integration of 1 over the entire sphere produces the correct value for its surface area. Or use it to see if you get the right answer (10π) for Quiz 32.