If random variables x1 and x2 are independent, then 
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Definitions:
Slutsky Compensated Demand Curve
Represents consumer demand by adjusting for changes in purchasing power, illustrating how quantity demanded varies with price, holding utility constant.
Ordinary Demand Curve
A graphical representation showing the relationship between the price of a good and the quantity demanded, with all other factors being held constant.
Price Elasticity
A measure of how much the quantity demanded of a good responds to a change in the price of that good, reflecting consumers' sensitivity to price changes.
Utility Function
A mathematical representation of a consumer's preference ranking over a set of goods and services.
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