Finding Parametrization of Hemisphere and a Portion of Sphere

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In this video we talk about finding parametrization of hemisphere and a portion of sphere using spherical coordinates. Both examples are very similar, but there is a difference in writing the domain for the parameters. Such parametrizations can be used for setting up surface integrals.

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you deserve more views, thanks for the help :)

zaiku
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How does phi change for the bottom half?

abhimanyus
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I dont understand where the sinCos for x sinsin for y and cos for z actually come from

mythspeer
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Why can I not use the method used in this video to get the parametric representation?

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