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Question Find ∂z/∂x And ∂z/∂y (a) Z = F(x)g(y) (b) Z = F(xy) (c) Z = F(x/y) This problem has been solved!. Nov 17, 11 · that n is, in fact, the order of g1 xg we know no smaller m works for x, but g1 xg, isn't x, it's some other element of G, so you need to prove no smaller m will work for g1 xg suppose (as an imaginary example) that g1 xg = x 2, and x = 4 then g1 xg would have order 2, and so would still be e if raised to the 4th power since e 2 = e do not confuse the statements x n. See the answer Find ∂z/∂x and ∂z/∂y (a.

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Title Microsoft Word Material Creditors Author surbhigupta Created Date 2/19/18 AM. (a) Determine a linearly independent subset of G which generates G as an abelian group (b) Show that Z4/G is a free abelian group and determine its rank Solution (b) The linear map Z4 7→Z,(x,y,z,w) 7→2x3y 5z 7w has kernel G, and is onto because 2 and 3 are relatively prime Hence Z4/G is isomorphic. Title34_ M&_ M1BOOKMOBI}> @$À ,F 3f 9 @A Fí N UP \Þ dà lL sº {š ƒm ‡ ‡ ˆˆ"‰ $ŠD& ñT( d* ”, ¸ ä0 ü 2 é6 ñ8 &q C 4Î> ;Œ@ B#B IED P F W/H ^‘J f L n*N uÒP }sR T ŒðV ‘hX ‘iZ ’a\ “Á^ “Ñ` ”Åb •¥d –¡f —¹h ˜mj ˜‘l ˜µn ˜áp œ5r œ=t ¥!v Lùx M z M& Ø5 MOBI ýé¿yYN.

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