I need to brush up my math. I am trying to solve a spherical coordinates problem.(adsbygoogle = window.adsbygoogle || []).push({});

compute the divergence of the function

v=r cos[tex]\theta[/tex] r^ + r sin [tex]\theta[/tex] [tex]\theta[/tex]^+ r sin [tex]\theta[/tex] cos [tex]\varphi[/tex] [tex]\varphi[/tex]^

(r^ is r hat ...)

check the divergence theorem for this function, using as your volume the inverted hemisphere of radius R, resting on xy plane and centered at origin.

I couldn't find the surface area :

r is R

theta is from 0 to pi/2

phi is from 0 to 2pi

with constant R, surface area da = R^2 sin [tex]\theta[/tex] d[tex]\theta[/tex] d[tex]\varphi[/tex]

How do I calculate the surface area of the hemisphere and the circle in the xy plane.

thanks.

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# Spherical coordinates prob

Can you offer guidance or do you also need help?

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