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14 ????

14 ????

14 ????. Multiple Integration. 14.1 ??????????? 14.2 ?????? 14.3 ?????????? 14.4 ?????? 14.5 ????. P.621. Ch14 ????. 14.2 ??????? (Double integrals and volume). ??? xy- ????? R ???????? f ( x, y ) ? ????? xy- ??? z = f ( x , y ) ??????????

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659 views • 34 slides
14 ????

14 ????

14 ????. Multiple Integration. 14.1 ??????????? 14.2 ?????? 14.3 ?????????? 14.4 ?????? 14.5 ????. P.636. Ch14 ????. 14.4 ?????? (Center of mass and moments of inertia). ?? ???????? ? ????????? R ??? 14.33 ??????????? ?????????????????????. P.636. Ch14 ????.

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571 views • 23 slides
14 ????

14 ????

14 ????. Multiple Integration. 14.1 ??????????? 14.2 ?????? 14.3 ?????????? 14.4 ?????? 14.5 ????. P.643. Ch14 ????. 14.5 ???? (Surface area). ??????? ?? f ? f ?????? xy- ??????? R ???? ? z = f ( x, y ) ???? R ???????? S ???? ??. P.642. Ch14 ????. ? 14.42.

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534 views • 22 slides
14 ????

14 ????

14 ????. Multiple Integration. 14.1 ??????????? 14.2 ?????? 14.3 ?????????? 14.4 ?????? 14.5 ????. P.630. Ch14 ????. 14.3 ?????????? (Change of variables: polar coordinates). ? 1 ??????????. ??????? 14.23 ?????. P.630. Ch14 ????. ? 1 ???. ?

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356 views • 21 slides
14 ????

14 ????

14 ????. Multiple Integration. 14.1 ??????????? 14.2 ?????? 14.3 ?????????? 14.4 ?????? 14.5 ????. P.615. Ch14 ????. 14.1 ??????????? (Iterated integrals). ? 1 ? y ??. ??????????? ? x ?????? y ????. P.615. Ch14 ????. ? 2 ?????. ?????????? ?

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462 views • 19 slides
Section 12-3

Section 12-3

Section 12-3. Multiple Integration. I. Double Integration. Evaluate the inside with respect to dx treating y as constant then evaluate the outside with respect to dy treating x as constant. Double integration yields _________________. 1. 2. II. Triple Integration.

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150 views • 8 slides

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