Math 251 Spring 2023 Quiz 10 Show all work for full or partial credit 1 3 points Compute rectangle 0 2 0 1 Name UIN Section SeanYeatts 232006127 503 where 2 2 2 and C is the boundary of the It de Mdg of da if fuydydx fade 1 91 44 oxy plat n MI 2 3 points Using the xdy formula from Green s theorem for area compute the following as a line integral area of the region enclosed by sin2 2 1 1 1 Fa sin t t WITH y 2 lets dy Itdt I t I Isindlittldt 21 121 coolant dt fl cos Htt dt sinkitt I 111 2 Math 251 Spring 2023 Quiz 10 3 4 points Using both sides of Green s Theorem evaluate 3 Name UIN Section Sean Yeatts 232006127 503 3 where C is the union of the circles of radii 1 and 2 centered at the origin To be clear you have to integrate both as a line integral and as a double integral x p y di ff Mf dy da t KFifa Fuat fi I ft 31342 3rd f r rdrdo t at r f ITcos MS C in Al cosAl dt COSHI S FIH cosh sin H F itl L sinit BffinAlsinait soft cosit at 13Gtthesin14th 1 I Isinit costly sinkti t lostti 2sinkticos4 1 I I sin at I I i cos14th E t t10014 1 4 51
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