In the scenario, the correct identification of a chemical change and a physical change would be:
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Chemical Change: Cooking the eggs. When the eggs are heated, they undergo a chemical change as the proteins in the eggs denature and coagulate, transforming from a liquid to a solid.
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Physical Change: Melting the butter on the toast. When butter is heated, it changes from solid to liquid, which is a physical change as it does not alter the chemical composition of the butter.
Thus, the cooking of the eggs represents a chemical change, while melting butter is a physical change.