{"id":504,"date":"2019-04-06T16:22:31","date_gmt":"2019-04-06T19:22:31","guid":{"rendered":"http:\/\/www.professores.uff.br\/mjoao\/?p=504"},"modified":"2020-09-08T12:42:07","modified_gmt":"2020-09-08T15:42:07","slug":"exercicios-propostos-do-stewart","status":"publish","type":"post","link":"https:\/\/www.professores.uff.br\/mjoao\/2019\/04\/06\/exercicios-propostos-do-stewart\/","title":{"rendered":"Exerc\u00edcios Propostos do Stewart"},"content":{"rendered":"\n

Integrais Duplas<\/h2>\n\n\n\n

A fonte \u00e9 o Stewart, Volume 2, 7\u00aa Edi\u00e7\u00e3o; os destacados<\/strong> s\u00e3o os mais interessantes.<\/p>\n\n\n\n

15.1: 1a, 6<\/strong>, 14<\/strong>
15.2: 3, 9, 13<\/strong>, 15, 25, 31<\/strong>, 35, 37, 40b<\/strong>
15.3: 3, 7, 15<\/strong>, 19, 27, 31, 47<\/strong>, 51<\/strong>, 55, 59, 62<\/strong>, 63<\/strong>
15.4: 1<\/strong>, 5, 7<\/strong>, 11<\/strong>, 17<\/strong>, 21, 23<\/strong>, 29<\/strong>, 35, 38, 40<\/strong>
15.5: 3<\/strong>, 15, 19, 20, 21<\/strong>, 23<\/p>\n\n\n\n

Na 6\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

15.1: 1a, 6<\/strong>, 14<\/strong>
15.2: 3, 9, 13<\/strong>, 16, 25, 31<\/strong>, 35, 37, 40b<\/strong>
15.3: 3, 7, 21, 23, 27, 43<\/strong>, 47<\/strong>, 51, 55, 58<\/strong>, 60<\/strong>
15.4: 1<\/strong>, 5, 7<\/strong>, 11<\/strong>, 17, 21, 23<\/strong>, 29<\/strong>, 33, 36<\/strong>
15.5: 3<\/strong>, 15, 19, 20, 23<\/strong>, 25<\/p>\n\n\n\n

<\/p>\n\n\n\n

Integrais Triplas<\/h2>\n\n\n\n

A fonte \u00e9 o Stewart, Volume 2, 8\u00aa Edi\u00e7\u00e3o; os destacados<\/strong> s\u00e3o os mais interessantes.<\/p>\n\n\n\n

Na 8\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

15.6: 2<\/strong>, 5, 7, 15<\/strong>, 17, 20, 21<\/strong>, 23<\/strong>, 27<\/strong>, 31, 34<\/strong>, 37<\/strong>, 41<\/strong>, 43, 45<\/strong>, 53, 55a<\/strong>, 55b
15.7: 1a<\/strong>, 3b<\/strong>, 6<\/strong>, 8<\/strong>, 12<\/strong>, 15, 19<\/strong>, 21, 23<\/strong>, 27, 29
<\/strong>15.8: 1a<\/strong>, 3b<\/strong>, 5<\/strong>, 8<\/strong>, 11<\/strong>, 16<\/strong>, 18, 20, 21<\/strong>, 25<\/strong>, 28, 29a<\/strong>, 35<\/strong>, 36, 44, 48, 49<\/strong>
15.9: 21<\/strong><\/p>\n\n\n\n

Na 7\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

15.7: 2<\/strong>, 5, 6, 15<\/strong>, 17, 20, 21<\/strong>, 23<\/strong>, 27<\/strong>, 31, 34<\/strong>, 37<\/strong>, 41<\/strong>, 43, 45<\/strong>, 53, 55a<\/strong>, 55b
15.8: 1a<\/strong>, 3b<\/strong>, 5<\/strong>, 7<\/strong>, 11<\/strong>, 15, 19<\/strong>, 21, 23<\/strong>, 27, 29
<\/strong>15.9: 1a<\/strong>, 3b<\/strong>, 5<\/strong>, 7<\/strong>, 13<\/strong>, 14, 16<\/strong>, 20, 21<\/strong>, 25<\/strong>, 28, 29a<\/strong>, 35<\/strong>, 36, 42, 46, 47<\/strong>
15.10: 21<\/strong><\/p>\n\n\n\n

Na 6\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

15.6: 2<\/strong>, 5, 6, 15<\/strong>, 17, 20, 21<\/strong>, 23<\/strong>, 27<\/strong>, 31, 34<\/strong>, 39<\/strong>, 41, 43<\/strong>, 51, 53<\/strong>
15.7: 1a<\/strong>, 3b<\/strong>, 5<\/strong>, 7<\/strong>, 11<\/strong>, 15, 18<\/strong>, 21, 23<\/strong>, 25, 27
<\/strong>15.8: 1b<\/strong>, 3b<\/strong>, 5<\/strong>, 7<\/strong>, 13<\/strong>, 14, 16<\/strong>, 20, 21<\/strong>, 24<\/strong>, 28, 29a<\/strong>, 35<\/strong>, 36, 44, 45<\/strong>
15.9: 21<\/strong><\/p>\n\n\n\n

Na 5\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

15.7: 2<\/strong>, 5, 6, 11<\/strong>, 15, 18<\/strong>, 19, 21<\/strong>, 25<\/strong>, 29, 32<\/strong>, 37<\/strong>, 43, 47, 49<\/strong>
15.8: Cil\u00edndricas: 2, 8<\/strong>, 11, 15, 29<\/strong>, 33; <\/strong>Esf\u00e9ricas:6, 17<\/strong>, 20<\/strong>, 23<\/strong>, 29<\/strong>, 30, 38, 39<\/strong>
15.9: 17<\/strong><\/p>\n\n\n\n

<\/p>\n\n\n\n

Integral de Linha de Campo Escalar<\/h2>\n\n\n\n

A fonte \u00e9 o Stewart, Volume 2; os destacados<\/strong> s\u00e3o os mais interessantes.<\/p>\n\n\n\n

Na 8\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

10.1: 7, 10, 11, 13<\/strong>, 14, 19<\/strong>, 23, 24, 33<\/strong>, 37<\/strong>, 41, 45<\/strong> 
10.2: 5, 17, 19, 41<\/strong>, 43, 51, 53<\/strong>, 67 [Dica: Mostre que f-1<\/sup> existe.<\/strong>] 16.2: 1, 3<\/strong>, 9, 11<\/strong>, 33<\/strong>, 35, 37<\/p>\n\n\n\n

Na 7\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

10.1: 9, 11, 13<\/strong>, 14, 19<\/strong>, 23, 24, 33<\/strong>, 37<\/strong>, 41, 45<\/strong> 
10.2: 5, 17, 19, 41<\/strong>, 43, 51, 53,<\/strong> 67 16.2: 1, 3<\/strong>, 9, 11<\/strong>, 33<\/strong>, 35, 37
<\/p>\n\n\n\n

Integral de linha de campo vetorial, Teorema de Green e campos conservativos<\/h2>\n\n\n\n

A fonte \u00e9 o Stewart, Volume 2; os destacados<\/strong> s\u00e3o os mais interessantes. Os marcados em vermelho n\u00e3o tem correspondentes em edi\u00e7\u00f5es anteriores.<\/p>\n\n\n\n

Na 8\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

16.1: 1, 6<\/strong>, 8, 11-14, 15-18<\/strong>, 23, 26<\/strong>, 27<\/strong>, 29-32, 33, 35<\/strong>.
16.2: 17<\/strong>, 21, 40<\/strong>, 42<\/strong>, 47<\/strong>, 49, 51<\/strong>.
16.3: 1<\/strong>, 3 (conservativo!), 11<\/strong>, 13<\/strong>, 15, 19, 21, 25, 29<\/strong>, 30, 31-34, 35<\/strong>, 36<\/strong>.
16.4: 1, 3, 9<\/strong>, 13, 21<\/strong>, 22, 23, 27<\/strong> (do exemplo 5), 29<\/strong>.<\/p>\n\n\n\n

Na 7\u00aa Edi\u00e7\u00e3o: <\/p>\n\n\n\n

16.1: 1, 6<\/strong>, 8, 11-14, 15-18<\/strong>, 23, 26<\/strong>, 27<\/strong>, 29-32, 33, 35<\/strong>.
16.2: 17<\/strong>, 21, 40<\/strong>, 42<\/strong>, 47<\/strong>, 49, 51<\/strong>.
16.3: 1<\/strong>, 3 (conservativo!), 11<\/strong>, 13<\/strong>, 15, 19, 21, 25, 29<\/strong>, 30, 31-34, 35<\/strong>, 36.<\/strong>
16.4: 2, 3, 9<\/strong>, 13, 21<\/strong>, 22, 23, 27<\/strong> (do exemplo 5), 29.<\/strong><\/p>\n\n\n\n

Na 6\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

16.1: 1, 6<\/strong>, 8, 11-14, 15-18<\/strong>, 23, 26<\/strong>, 27<\/strong>, 29-32, 33, 35<\/strong>.
16.2: 17<\/strong>, 21, 40<\/strong>, 42<\/strong>, 45<\/strong>, 47<\/strong>.
16.3: 1<\/strong>, 3, 11<\/strong>, 13<\/strong>, 15, 19, 23, 27<\/strong>, 28, 29-32, 33<\/strong>, 34<\/strong>.
16.4: 2, 3, 9<\/strong>, 13, 21<\/strong>, 22, 23, 27 (do exemplo 5), 29<\/strong>.<\/p>\n\n\n\n

Na 5\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

16.1: 1, 6<\/strong>, 8, 11-14, 15-18<\/strong>, 23, 26<\/strong>, 27<\/strong>, 29-32, 33, 35<\/strong>.
16.2: 17<\/strong>, 21, 38<\/strong>, 40<\/strong>, 43<\/strong>, 45<\/strong>.
16.3: 1<\/strong>, 3, 11<\/strong>, 13<\/strong>, 15, 19, 23, 27<\/strong>, 28, 29-32, 33<\/strong>, 34<\/strong>.
16.4: 1, 3, 11<\/strong>, 16, 21<\/strong>, 22, 27<\/strong>.<\/p>\n\n\n\n

Superf\u00edcies e Integrais de Superf\u00edcie<\/h2>\n\n\n\n

A fonte \u00e9 o Stewart, Volume 2; os destacados s\u00e3o os mais interessantes<\/strong>. Os marcados em vermelho n\u00e3o tem correspondentes em edi\u00e7\u00f5es anteriores.<\/p>\n\n\n\n

Na 8\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

16.6: 1, 2, 3<\/strong>, 5, 13-18<\/strong>, 19, 22, 23<\/strong>, 26, 33<\/strong>, 39<\/strong>, 41, 49<\/strong>, 51<\/strong>, 59<\/strong>, 63<\/strong>, 64
16.7: 4<\/strong>, 5<\/strong>, 9, 11, 19<\/strong>, 21<\/strong>, 23, 27<\/strong>, Calcule o fluxo de F=xi<\/strong>+2yj<\/strong>+3zk<\/strong> para fora do cubo de v\u00e9rtices (\u00b11,\u00b11,\u00b11), 39<\/strong>, 41<\/strong>, 47 (ler p. 1009), 49.<\/strong><\/p>\n\n\n\n

Na 7\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

16.6: 1, 2, 3<\/strong>, 5, 13-18<\/strong>, 19, 21, 23<\/strong>, 26, 33<\/strong>, 39<\/strong>, 41, 49<\/strong>, 51<\/strong>, 59<\/strong>, 63<\/strong>, 64
16.7: 4<\/strong>, 5<\/strong>, 9, 11, 15<\/strong>, 21<\/strong>, 23, 27<\/strong>, 29, 39<\/strong>, 41<\/strong>, 47 (ler p. 1001), 49.<\/strong><\/p>\n\n\n\n

Na 6\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

16.6: 1, 2, 3<\/strong>, 5, 13-18<\/strong>, 19, 21, 23<\/strong>, 26, 33<\/strong>, 37<\/strong>, 38, 47<\/strong>, 55<\/strong>, 59<\/strong>, 60.
16.7: 4<\/strong>, 5, 6, 7, 13<\/strong>, 19, 21<\/strong>, 25<\/strong>, 27, 37<\/strong>, 39<\/strong>, 45 (ler p. 1033-1034), 47.<\/strong><\/p>\n\n\n\n

Na 5\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

16.6: 1<\/strong>, 2, 3, 11-16<\/strong>, 17, 19, 21<\/strong>, 24, 31<\/strong>, 35<\/strong>, 36, 45<\/strong>, 53<\/strong>, 56
16.7: 4<\/strong>, 5, 6, 7, 11, 19, 21<\/strong>, 25<\/strong>, 27, 35<\/strong>, 37<\/strong>, 43 (ler p. 1115-1116).
<\/p>\n\n\n\n

Teoremas de Gauss e de Stokes<\/h2>\n\n\n\n

Na 8\u00aa Edi\u00e7\u00e3o:
16.5: 1<\/strong>, 11, 12<\/strong>, 16, 17<\/strong>, 19, 21<\/strong>, 22, 25, 27, 28 (use 27!), 31<\/strong>, 37<\/strong>, 39<\/strong>.
16.8: 1<\/strong>, 4, 5<\/strong>, 8, 10<\/strong>, 15<\/strong>, 16<\/strong>, 17<\/strong>, 18, 19<\/strong>, 20.
16.9: 1<\/strong>, 3, 6<\/strong>, 8<\/strong>, 12, 13<\/strong>, 17<\/strong>, 19<\/strong>, 23<\/strong>, 25<\/strong>, 27<\/strong>, 29, 31<\/strong>, 32<\/strong>.<\/p>\n\n\n\n

Na 7\u00aa Edi\u00e7\u00e3o:
16.5: 1<\/strong>, 11, 12<\/strong>, 14, 17<\/strong>, 19, 21<\/strong>, 22, 25, 27, 28 (use 27!), 31<\/strong>, 37<\/strong>, 39<\/strong>.
16.8: 1<\/strong>, 3, 5<\/strong>, 8, 10<\/strong>, 15<\/strong>, 16<\/strong>, 17<\/strong>, 18, 19<\/strong>, 20.
16.9: 1<\/strong>, 3, 6<\/strong>, 9<\/strong>, 12, 13<\/strong>, 17<\/strong>, 19<\/strong>, 23<\/strong>, 25<\/strong>, 27<\/strong>, 29, 31<\/strong>, 32<\/strong>.<\/p>\n\n\n\n

Na 6\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

16.5: 1<\/strong>, 11, 12<\/strong>, 14, 17<\/strong>, 19, 21<\/strong>, 22, 25, 27, 28 (use 27!), 31<\/strong>, 37<\/strong>, 39<\/strong>.
16.8: 1<\/strong>, 3, 5<\/strong>, 8, 10<\/strong>, 15<\/strong>, 16<\/strong>, 17<\/strong>, 18, 19<\/strong>, 20.
16.9: 1<\/strong>, 4, 6<\/strong>, 9<\/strong>, 12, 14<\/strong>, 17, 19, 23, 25, 27, <\/strong>29 (o \u00faltimo “+” deveria ser “\u2022”), 31, 32<\/strong>.<\/p>\n\n\n\n

Na 5\u00aa Edi\u00e7\u00e3o:<\/p>\n\n\n\n

16.5: 1<\/strong>, 11, 12<\/strong>, 14, 17<\/strong>, 19, 21<\/strong>, 22, 25, 27, 28 (use 27!), 31<\/strong>, 35<\/strong>, 37<\/strong>.
16.8: 1,<\/strong> 3, 5<\/strong>, 8, 10, 15<\/strong>, 16<\/strong>, 17<\/strong>, 18, 19<\/strong>, 20.
16.9: 1<\/strong>, 3<\/strong>, 6, 8<\/strong>, 11<\/strong>, 14, 19<\/strong>, 21, 23, 25<\/strong> (d\u03a3 \u00e9 dS), 27, 29, 30<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"

Integrais Duplas A fonte \u00e9 o Stewart, Volume 2, 7\u00aa Edi\u00e7\u00e3o; os destacados s\u00e3o os mais interessantes. 15.1: 1a, 6, 1415.2: 3, 9, 13, 15, 25, 31, 35, 37, 40b15.3: 3, 7, 15, 19, 27, 31, 47, 51, 55, 59, 62, 6315.4: 1, 5, 7, 11, 17, 21, 23, 29, 35, 38, 4015.5: 3, 15, 19, 20, 21, 23 Na 6\u00aa Edi\u00e7\u00e3o: 15.1: 1a, 6, 1415.2: 3, 9, 13, 16, 25, 31, 35, 37, 40b15.3: 3, 7, 21, 23, 27, 43, 47, 51, 55, 58, 6015.4: 1, 5, 7, 11, 17, 21, 23, 29, […]<\/p>\n","protected":false},"author":82,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-504","post","type-post","status-publish","format-standard","hentry","category-sem-categoria"],"_links":{"self":[{"href":"https:\/\/www.professores.uff.br\/mjoao\/wp-json\/wp\/v2\/posts\/504","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.professores.uff.br\/mjoao\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.professores.uff.br\/mjoao\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/mjoao\/wp-json\/wp\/v2\/users\/82"}],"replies":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/mjoao\/wp-json\/wp\/v2\/comments?post=504"}],"version-history":[{"count":14,"href":"https:\/\/www.professores.uff.br\/mjoao\/wp-json\/wp\/v2\/posts\/504\/revisions"}],"predecessor-version":[{"id":562,"href":"https:\/\/www.professores.uff.br\/mjoao\/wp-json\/wp\/v2\/posts\/504\/revisions\/562"}],"wp:attachment":[{"href":"https:\/\/www.professores.uff.br\/mjoao\/wp-json\/wp\/v2\/media?parent=504"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.professores.uff.br\/mjoao\/wp-json\/wp\/v2\/categories?post=504"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.professores.uff.br\/mjoao\/wp-json\/wp\/v2\/tags?post=504"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}