Applet: Half spherical shell dome

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The dome region consists of the upper half of a spherical shell with radius from 3 to 5, i.e.,the region is given by \begin{gather*} 9 \le x^2 + y^2 + z^2 \le 25\\ z \ge 0. \end{gather*}

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Introduction to changing variables in triple integrals

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