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Please explain this step by step and into the details , explain any revelant thoeries , and any references you need to make to help

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Please explain this step by step and into the details , explain any revelant thoeries , and any references you need to make to help to understand it, , thanks a lot!

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Consider the utility function U = X0-5Y2. By implicit differentiation, find the slope of any indifference curve and show that its absolute value is given by the ratio of marginal utilities of the two goods

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