\n Green’s theorem gives the relationship between a line integral around a simple closed curve C\n <\/p>\n
2. Consider the line integral jg F – dr, where the vector \ufb01eld 0F = 333(cosa: + y)i + 394(sin2 y + x) j and C is the triangle in the my\u2014plane with corners at (0,0), (2, 0) and (0, 2), taken anticlockwise.(a) Use Green\u2019s theorem to express the line integral in terms of a double integralover the region R enclosed by C. (b) Calculate the double integral using a repeated integral with respect to x \ufb01rstand y second. (0) Now reverse the order of integration and evaluate the double integral using arepeated integral with respect to y \ufb01rst and a: second.\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"
Green’s theorem gives the relationship between a line integral around a simple closed curve C 2. Consider the line integral jg F – dr, where the vector \ufb01eld 0F = 333(cosa: + y)i + 394(sin2 y + x) j and C is the triangle in the my\u2014plane with corners at (0,0), (2, 0) and (0, […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_joinchat":[]},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/227173"}],"collection":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/comments?post=227173"}],"version-history":[{"count":0,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/227173\/revisions"}],"wp:attachment":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/media?parent=227173"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/categories?post=227173"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/tags?post=227173"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}