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categoryرياضيات schoolبكالوريوس event_available2026-07-13

السؤال

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1. Let G be the solid in the first octant bounded by the sphere x² + y²+z² = 4 and the coordinate planes. Set up and evaluate √√√xyz dV using (a) cylindrical coordinates. (b) spherical coordinates 2. Let T be the three dimensional region above the xy plane, below the cone z = √√x² + y² and inside the sphere x² + y²+z² = 1. Express the triple integral fff z dV in spherical coordinates. Do not calculate the integral.

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