Let f: R2 + R be defined by f(x, y) = xyle=(22+v?). Evaluate Sg2 f, if...

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Let f: R2 + R be defined by f(x, y) = xyle=(22+v?). Evaluate Sg2 f, if it exists

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Answer 1

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let & (x,y) CIR? 1 dy 11 Jinlega dy AD 9 e-22 dy 1xler22 ti R2 R such that, f(x,y) = 1xylé (x+ye) Here f(x,y) 20 f (x, y) E 1 Since, da a fixy, e-(PP+ y2) IR IR fotos son s f <o. (exists), 1R 2 And by the Fubinis theorem, da fixyle Ca2+ y2) dy = 1 [b

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Let f: R2 + R be defined by f(x, y) = xyle=(22+v?). Evaluate Sg2 f, if...