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Course 154

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Ploskev, ki je v sfernih koordinatah dana z enačbo , v kartezičnem koordinatnem sistemu predstavlja

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Sferne koordinate točke s kartezičnimi koordinatami so enake

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Cilindrske koordinate točke s kartezičnimi koordinatami  so enake

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Naj bo  telo, ki ga omejujeta sfera  in paraboloid in leži v celoti nad ravnino . Vrednost integrala je enaka

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Ploskev, ki je v cilindrskih koordinatah dana z enačbo , v kartezičnem koordinatnem sistemu predstavlja

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Izberi telo, katerega prostornino podaja integral

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Izberi telo, katerega prostornino podaja integral

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Naj bo  telo, ki ga omejujejo ploskve , , , .  Zapiši trojni integral kot trikratni integral.

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Naj bo  telo, ki ga omejujejo ploskve , , , .  Zapiši trojni integral kot trikratni integral.

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Naj bo  telo, ki ga omejujejo ploskve , , , .  Zapiši trojni integral kot trikratni integral.

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