Derive the marginal rate of substitution mrs between x and

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Derive the Marginal rate of Substitution (MRS), between X and Y

\(U(x,y)=(ax^{p}+(1-a)y^{p})^{1/p}\)

\(U(x,y)=ln(x)+y\) \(U(x,y)=x+Ax^{\alpha}y^{\beta}+y\) \(U(x,y)=x^{a}y^{1-a}\)

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