Area of a hemisphere(surface integral)

[clurt]

Homework Statement

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Homework Equations

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The Attempt at a Solution

I was finally able to find the parameters and do a cross product, i can double integrate but I am unsure what to do in this circumstance(with the absolute value thing as well).

 

[Dick]

Homework Statement

Please view attached

Homework Equations

Please view attached

The Attempt at a Solution

I was finally able to find the parameters and do a cross product, i can double integrate but I am unsure what to do in this circumstance(with the absolute value thing as well).

||N|| is the same thing as the length of the vector N. Use a little trig.

 

[Fredrik]

Clurt, when you post in the homework forum, you are expected to show your attempt to solve the problem up to the point where you get stuck. You're asking about what do about the "absolute value thing" in
$$\iint_S \|N(u,v)\|\mathrm du\mathrm dv,$$ where N is a function you have already found. The obvious first step is to look up the definition of $\|\ \|$ in your book and try to use it. We won't have a lot to say until you have done that.